Census of Quadrangle Groups Inclusions

Version 2.0.1, 1 August 2019

António Breda d'Azevedo, Domenico A. Catalano, Ján Karabáš, and Roman Nedela

This page contains original results obtained by António Breda d'Azevedo, Domenico A. Catalano, Ján Karabáš, and Roman Nedela. Please note that use of this material is only permitted provided that it properly cites this page and the related paper. It is forbidden to disseminate any part of the published material without reference to this page. The conditions for using the published material may be altered by the publisher of the related paper.

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References

d’Azevedo A.B., Catalano D.A., Karabáš J., Nedela R. Census of Quadrangle Groups Inclusions. In: Širáň J., Jajcay R. (eds) Symmetries in Graphs, Maps, and Polytopes. SIGMAP 2014. Springer Proceedings in Mathematics & Statistics, vol 159. Springer, Cham. DOI: 10.1007/978-3-319-30451-9_2
d’Azevedo, A.B., Catalano, D.A., Karabáš, J. et al. Quadrangle Group Inclusions, Beitr. Algebra Geom. (2017) 58: 369. DOI: 10.1007/s13366-016-0309-3

Description of a record

The record consists of several (hopefully `self-explanatory' fields). Here they are

The name of the inclusion as it introduced in [1], e.g. (f10)
The record header consisting of
1. The index of the inclusion, e.g. N = 5
2. The abstract description of the groups. The marker T means that the group is triangular, Q remarks a quadrangular group. The presentation of a group is uniquely determined by the parameters. Q(p,q,r,s) give the presentation < x,y,z,w | x^p, y^q, z^r, w^s, xyzw >, while T(k,ℓ,m) give the presentation < x,y,z,w | x, y^k, z^ℓ, w^m, xyzw >. Note that the position of the parameters in the presentation are fixed.
3. The flag of normality of the inclusion
4. The (reduced) passport of the dessin. Note that the items in the passport are sorted in the order as they were computed, i.e. valencies of (black,white) vertices and lengths of the faces of the corresponding dessin may appear in different positions in different records. For example, in one record you can see that the valencies of black vertices are described by the last element of passport, while in the different record the same entity correspond with the first element of passport. The passport is simply the list of cycle structures: (cycl(π_x), cycl(π_y), cycl(π_z), cycl(π_w)). The permutation π_x is identity in all cases but (Q1) and (Q2) and it is not expressed in the passport
The picture of the dessin. Just click on the picture to see it in the original size. If you want to have the non-watermarked vector image, ask please .
The additional data
1. The unique identifier of the record, used to unambiguous reference to the record
2. The information about reflexibility of the dessin. For chiral dessins the reference to the mirror image (by ID) is provided.
3. The information about the case of numerical solution, as introduced in [2] and [1].
The list of images of generators (x, y, z, w) of the supergroup in the induced homomorphism π : Q → Sym(Q/P) given by the action of Q on right cosets of P. Note that if the supergroup Q=T(k,ℓ,m) is a triangle group, then the image π_x=id is not listed.

Errata

31072019-1 Minor fixes, the references to the papers were added.
15032016-1: The bug in writing the numerical case has fixed. The comptutation itself was not affected. See the errata
15032016-2: The page has been renamed to be consistent with [1].
15032016-3: The small script 'L' (ℓ) is used instead lovercase 'L' to avoid disambiguations.
15032016-4: Several micro fixes and improvements on the page
15032016-5: The symbol of identity permutation '( )' has been replaced by id

Census

(a)	N = 2; T(m, n, n) < T(2, 2m, n); normal; (2, 2, 1²)
(a)		ID: 1, Reflexible, Case: 4	π_y = (1, 2) π_z = (1, 2) π_w = id
(f1)	N = 2; Q(ℓ, m, n, n) < T(2ℓ, 2m, n); normal; (2, 2, 1²)
(f1)		ID: 2, Reflexible, Case: 4	π_y = (1, 2) π_z = (1, 2) π_w = id
(Q1)	N = 2; Q(m, m, n, n) < Q(2, 2, m, n); normal; (2, 2, 1², 1²)
(Q1)		ID: 3, Reflexible, Case: 3	π_x = (1, 2) π_y = (1, 2) π_z = id π_w = id
(K)	N = 3; T(2, n, 2n) < T(2, 3, 2n); (1.2, 3, 1.2)
(K)		ID: 4, Reflexible, Case: 4	π_y = (1, 3) π_z = (1, 2, 3) π_w = (2, 3)
(F1)	N = 3; Q(2, m, n, 2n) < T(2, 3m, 2n); (1.2, 3, 1.2)
(F1)		ID: 5, Reflexible, Case: 4	π_y = (1, 3) π_z = (1, 2, 3) π_w = (2, 3)
(b)	N = 3; T(n, n, n) < T(3, 3, n); normal; (3, 3, 1³)
(b)		ID: 6, Reflexible, Case: 2	π_y = (1, 2, 3) π_z = (1, 3, 2) π_w = id
(F2)	N = 3; Q(m, 2m, n, 2n) < T(3, 2m, 2n); (3, 1.2, 1.2)
(F2)		ID: 7, Reflexible, Case: 3	π_y = (1, 2, 3) π_z = (1, 2) π_w = (2, 3)
(f2)	N = 3; Q(m, n, n, n) < T(3, 3m, n); normal; (3, 3, 1³)
(f2)		ID: 8, Reflexible, Case: 2	π_y = (1, 2, 3) π_z = (1, 3, 2) π_w = id
(F5)	N = 4; Q(2, 2, 3, m) < T(2, 3, 4m); (1².2, 1.3, 4)
(F5)		ID: 9, Reflexible, Case: 4	π_y = (1, 2) π_z = (2, 3, 4) π_w = (1, 2, 4, 3)
(J)	N = 4; T(3, n, 3n) < T(2, 3, 3n); (2², 1.3, 1.3)
(J)		ID: 10, Reflexible, Case: 4	π_y = (1, 2)(3, 4) π_z = (2, 3, 4) π_w = (1, 2, 3)
(F7)	N = 4; Q(2, 2, n, n) < T(2, 4, 2n); (1².2, 4, 2²)
(F7)		ID: 11, Reflexible, Case: 3	π_y = (2, 3) π_z = (1, 2, 4, 3) π_w = (1, 2)(3, 4)
(I)	N = 4; T(n, 2n, 2n) < T(2, 4, 2n); (2², 4, 1².2)
(I)		ID: 12, Reflexible, Case: 2	π_y = (1, 3)(2, 4) π_z = (1, 2, 4, 3) π_w = (2, 3)
(F4)	N = 4; Q(2, 2, n, 3n) < T(2, 4, 3n); (1².2, 4, 1.3)
(F4)		ID: 13, Reflexible, Case: 3	π_y = (1, 3) π_z = (1, 2, 4, 3) π_w = (2, 3, 4)
(f4)	N = 4; Q(m, m, n, n) < T(2, 2m, 2n); normal; (2², 2², 2²)
(f4)		ID: 14, Reflexible, Case: 3	π_y = (1, 4)(2, 3) π_z = (1, 2)(3, 4) π_w = (1, 3)(2, 4)
(F10)	N = 4; Q(m, 3m, n, 3n) < T(2, 3m, 3n); (2², 1.3, 1.3)
(F10)		ID: 15, Reflexible, Case: 3	π_y = (1, 2)(3, 4) π_z = (2, 3, 4) π_w = (1, 2, 3)
(F6)	N = 4; Q(m, n, 2n, 2n) < T(2, 4m, 2n); (2², 4, 1².2)
(F6)		ID: 16, Reflexible, Case: 2	π_y = (1, 3)(2, 4) π_z = (1, 2, 4, 3) π_w = (2, 3)
(F9)	N = 4; Q(3, 3, n, n) < T(3, 3, 2n); (1.3, 1.3, 2²)
(F9)		ID: 17, Reflexible, Case: 4	π_y = (2, 3, 4) π_z = (1, 2, 3) π_w = (1, 2)(3, 4)
(F8)	N = 4; Q(3, 3, n, 3n) < T(3, 3, 3n); (1.3, 1.3, 1.3)
(F8)		ID: 18, Reflexible, Case: 4	π_y = (2, 4, 3) π_z = (1, 3, 4) π_w = (1, 2, 3)
(F3)	N = 4; Q(3, n, 2n, 2n) < T(3, 4, 2n); (1.3, 4, 1².2)
(F3)		ID: 19, Reflexible, Case: 2	π_y = (1, 3, 2) π_z = (1, 2, 4, 3) π_w = (3, 4)
(f3)	N = 4; Q(n, n, n, n) < T(4, 4, n); normal; (4, 4, 1⁴)
(f3)		ID: 20, Reflexible, Case: 1	π_y = (1, 2, 4, 3) π_z = (1, 3, 4, 2) π_w = id
(Q2)	N = 4; Q(n, n, n, n) < Q(2, 2, 2, n); normal; (2², 2², 2², 1⁴)
(Q2)		ID: 21, Reflexible, Case: 1	π_x = (1, 2)(3, 4) π_y = (1, 3)(2, 4) π_z = (1, 4)(2, 3) π_w = id
(F12)	N = 5; Q(2, 3, 3, m) < T(2, 3, 5m); (1.2², 1².3, 5)
(F12)		ID: 22, Reflexible, Case: 4	π_y = (1, 2)(3, 5) π_z = (2, 3, 4) π_w = (1, 2, 4, 5, 3)
(F14)	N = 5; Q(2, 4, n, 4n) < T(2, 4, 4n); (1.2², 1.4, 1.4)
		ID: 23, Chiral, Mirror of 24, Case: 4	π_y = (1, 2)(3, 5) π_z = (2, 3, 5, 4) π_w = (1, 2, 4, 3)
		ID: 24, Chiral, Mirror of 23, Case: 4	π_y = (1, 2)(4, 5) π_z = (2, 3, 4, 5) π_w = (1, 2, 4, 3)
(F15)	N = 5; Q(2, 4, 2n, 3n) < T(2, 4, 6n); (1.2², 1.4, 2.3)
(F15)		ID: 25, Reflexible, Case: 4	π_y = (1, 2)(3, 4) π_z = (2, 3, 5, 4) π_w = (1, 2, 3)(4, 5)
(F13)	N = 5; Q(2, n, n, 2n) < T(2, 5, 2n); (1.2², 5, 1.2²)
(F13)		ID: 26, Reflexible, Case: 2	π_y = (1, 3)(2, 5) π_z = (1, 2, 4, 5, 3) π_w = (2, 3)(4, 5)
(F11)	N = 5; Q(2, n, 3n, 3n) < T(2, 5, 3n); (1.2², 5, 1².3)
(F11)		ID: 27, Reflexible, Case: 2	π_y = (1, 3)(4, 5) π_z = (1, 2, 4, 5, 3) π_w = (2, 3, 4)
(S1)	N = 5; Q(2, 2, 2, 4) < T(2, 4, 5); (1³.2, 1.4, 5)
(S1)		ID: 28, Reflexible, Case: 2	π_y = (1, 2) π_z = (2, 3, 5, 4) π_w = (1, 2, 4, 5, 3)
(S2)	N = 5; Q(3, 3, 3, 3) < T(3, 3, 5); (1².3, 1².3, 5)
(S2)		ID: 29, Reflexible, Case: 3	π_y = (3, 5, 4) π_z = (1, 3, 2) π_w = (1, 2, 4, 5, 3)
(S3)	N = 5; Q(3, 3, 4, 4) < T(3, 4, 4); (1².3, 1.4, 1.4)
(S3)		ID: 30, Reflexible, Case: 4	π_y = (1, 4, 2) π_z = (2, 4, 3, 5) π_w = (1, 2, 5, 3)
(F17)	N = 6; Q(3, 3, 3, m) < T(2, 3, 6m); (2³, 1³.3, 6)
(F17)		ID: 31, Reflexible, Case: 2	π_y = (1, 2)(3, 6)(4, 5) π_z = (2, 3, 5) π_w = (1, 2, 4, 5, 6, 3)
(c)	N = 6; T(n, n, n) < T(2, 3, 2n); normal; (2³, 3², 2³)
(c)		ID: 32, Reflexible, Case: 2	π_y = (1, 5)(2, 6)(3, 4) π_z = (1, 2, 4)(3, 6, 5) π_w = (1, 3)(2, 5)(4, 6)
(F22)	N = 6; Q(2, 2, n, n) < T(2, 3, 3n); (1².2², 3², 3²)
(F22)		ID: 33, Reflexible, Case: 3	π_y = (1, 5)(2, 4) π_z = (1, 2, 3)(4, 6, 5) π_w = (1, 3, 4)(2, 5, 6)
(F20)	N = 6; Q(2, 2, n, 2n) < T(2, 3, 4n); (1².2², 3², 2.4)
(F20)		ID: 34, Reflexible, Case: 3	π_y = (1, 5)(2, 6) π_z = (1, 2, 3)(4, 6, 5) π_w = (1, 3, 6, 4)(2, 5)
(H)	N = 6; T(n, 4n, 4n) < T(2, 3, 4n); (2³, 3², 1².4)
(H)		ID: 35, Reflexible, Case: 2	π_y = (1, 3)(2, 5)(4, 6) π_z = (1, 2, 3)(4, 6, 5) π_w = (2, 3, 5, 4)
(F18)	N = 6; Q(2, 2, n, 5n) < T(2, 3, 5n); (1².2², 3², 1.5)
(F18)		ID: 36, Reflexible, Case: 3	π_y = (1, 3)(2, 5) π_z = (1, 2, 3)(4, 6, 5) π_w = (2, 3, 5, 6, 4)
(F25)	N = 6; Q(4, 4, n, n) < T(2, 4, 3n); (2³, 1².4, 3²)
(F25)		ID: 37, Reflexible, Case: 3	π_y = (1, 2)(3, 4)(5, 6) π_z = (2, 3, 5, 4) π_w = (1, 2, 3)(4, 6, 5)
(F24)	N = 6; Q(4, 4, n, 5n) < T(2, 4, 5n); (2³, 1².4, 1.5)
(F24)		ID: 38, Reflexible, Case: 3	π_y = (1, 2)(3, 6)(4, 5) π_z = (2, 3, 4, 5) π_w = (1, 2, 4, 6, 3)
(F27)	N = 6; Q(2, 2n, 3n, 6n) < T(2, 4, 6n); (2³, 2.4, 1.2.3)
(F27)		ID: 39, Reflexible, Case: 2	π_y = (1, 3)(2, 6)(4, 5) π_z = (1, 2, 4, 3)(5, 6) π_w = (2, 3, 5)(4, 6)
(F23)	N = 6; Q(5, n, 4n, 4n) < T(2, 5, 4n); (2³, 1.5, 1².4)
(F23)		ID: 40, Reflexible, Case: 2	π_y = (1, 2)(3, 6)(4, 5) π_z = (2, 3, 6, 4, 5) π_w = (1, 2, 4, 3)
(F26)	N = 6; Q(5, 2n, 3n, 6n) < T(2, 5, 6n); (2³, 1.5, 1.2.3)
(F26)		ID: 41, Reflexible, Case: 2	π_y = (1, 2)(3, 4)(5, 6) π_z = (2, 3, 5, 6, 4) π_w = (1, 2, 3)(4, 5)
(F19)	N = 6; Q(n, n, 2n, 2n) < T(2, 6, 2n); (2³, 6, 1².2²)
(F19)		ID: 42, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 6) π_z = (1, 2, 4, 6, 5, 3) π_w = (2, 3)(4, 5)
(F16)	N = 6; Q(n, 3n, 3n, 3n) < T(2, 6, 3n); (2³, 6, 1³.3)
(F16)		ID: 43, Reflexible, Case: 1	π_y = (1, 3)(2, 4)(5, 6) π_z = (1, 2, 4, 5, 6, 3) π_w = (2, 3, 5)
(F21)	N = 6; Q(n, n, 2n, 2n) < T(3, 3, 2n); (3², 3², 1².2²)
(F21)		ID: 44, Reflexible, Case: 1	π_y = (1, 2, 3)(4, 5, 6) π_z = (1, 5, 2)(3, 4, 6) π_w = (2, 4)(3, 5)
(S8)	N = 6; Q(2, 2, 2, 5) < T(2, 4, 5); (1².2², 2.4, 1.5)
		ID: 45, Chiral, Mirror of 46, Case: 4	π_y = (1, 3)(4, 5) π_z = (1, 2, 4, 3)(5, 6) π_w = (2, 3, 5, 6, 4)
		ID: 46, Chiral, Mirror of 45, Case: 4	π_y = (1, 3)(2, 6) π_z = (1, 2, 4, 3)(5, 6) π_w = (2, 3, 4, 6, 5)
(G)	N = 6; T(4, 4, 5) < T(2, 4, 5); (2³, 1².4, 1.5)
(G)		ID: 47, Reflexible, Case: 4	π_y = (1, 2)(3, 6)(4, 5) π_z = (2, 3, 4, 5) π_w = (1, 2, 4, 6, 3)
(S6)	N = 6; Q(2, 2, 4, 4) < T(2, 4, 6); (1².2², 1².4, 6)
		ID: 48, Chiral, Mirror of 49, Case: 3	π_y = (1, 2)(5, 6) π_z = (2, 3, 5, 4) π_w = (1, 2, 4, 6, 5, 3)
		ID: 49, Chiral, Mirror of 48, Case: 3	π_y = (1, 2)(3, 6) π_z = (2, 3, 5, 4) π_w = (1, 2, 4, 5, 6, 3)
(S7)	N = 6; Q(2, 2, 5, 5) < T(2, 5, 5); (1².2², 1.5, 1.5)
		ID: 50, Reflexible, Case: 4	π_y = (1, 2)(5, 6) π_z = (2, 3, 5, 6, 4) π_w = (1, 2, 4, 5, 3)
		ID: 51, Chiral, Mirror of 52, Case: 4	π_y = (1, 2)(3, 5) π_z = (2, 3, 5, 6, 4) π_w = (1, 2, 4, 6, 3)
		ID: 52, Chiral, Mirror of 51, Case: 4	π_y = (1, 2)(4, 5) π_z = (2, 3, 6, 4, 5) π_w = (1, 2, 4, 6, 3)
(S5)	N = 6; Q(2, 3, 3, 3) < T(3, 3, 4); (1³.3, 3², 2.4)
(S5)		ID: 53, Reflexible, Case: 2	π_y = (2, 3, 4) π_z = (1, 2, 3)(4, 5, 6) π_w = (1, 2)(3, 4, 6, 5)
(S4)	N = 6; Q(3, 3, 3, 5) < T(3, 3, 5); (1³.3, 3², 1.5)
(S4)		ID: 54, Reflexible, Case: 2	π_y = (3, 5, 4) π_z = (1, 3, 2)(4, 5, 6) π_w = (1, 2, 4, 6, 3)
(S9)	N = 6; Q(4, 4, 4, 4) < T(3, 4, 4); (3², 1².4, 1².4)
		ID: 55, Reflexible, Case: 3	π_y = (1, 4, 2)(3, 6, 5) π_z = (3, 5, 6, 4) π_w = (1, 2, 4, 3)
		ID: 56, Reflexible, Case: 3	π_y = (1, 4, 2)(3, 5, 6) π_z = (2, 4, 3, 6) π_w = (1, 2, 5, 3)
(F28)	N = 7; Q(2, 3, n, 6n) < T(2, 3, 6n); (1.2³, 1.3², 1.6)
		ID: 57, Chiral, Mirror of 58, Case: 4	π_y = (1, 2)(3, 6)(5, 7) π_z = (2, 3, 4)(5, 7, 6) π_w = (1, 2, 4, 6, 5, 3)
		ID: 58, Chiral, Mirror of 57, Case: 4	π_y = (1, 2)(4, 5)(6, 7) π_z = (2, 3, 5)(4, 6, 7) π_w = (1, 2, 4, 6, 5, 3)
(F29)	N = 7; Q(2, 3, 2n, 5n) < T(2, 3, 10n); (1.2³, 1.3², 2.5)
(F29)		ID: 59, Reflexible, Case: 4	π_y = (1, 2)(3, 7)(4, 5) π_z = (2, 3, 5)(4, 7, 6) π_w = (1, 2, 4, 6, 3)(5, 7)
(F30)	N = 7; Q(2, 3, 3n, 4n) < T(2, 3, 12n); (1.2³, 1.3², 3.4)
(F30)		ID: 60, Reflexible, Case: 4	π_y = (1, 2)(3, 7)(4, 5) π_z = (2, 3, 5)(4, 6, 7) π_w = (1, 2, 4, 3)(5, 7, 6)
(S10)	N = 7; Q(2, 2, 2, 3) < T(2, 3, 7); (1³.2², 1.3², 7)
		ID: 61, Chiral, Mirror of 62, Case: 2	π_y = (1, 2)(3, 6) π_z = (2, 3, 4)(5, 7, 6) π_w = (1, 2, 4, 6, 7, 5, 3)
		ID: 62, Chiral, Mirror of 61, Case: 2	π_y = (1, 2)(4, 5) π_z = (2, 3, 5)(4, 6, 7) π_w = (1, 2, 4, 7, 6, 5, 3)
(S14)	N = 7; Q(2, 2, 4, 6) < T(2, 4, 6); (1.2³, 1.2.4, 1.6)
		ID: 63, Chiral, Mirror of 64, Case: 4	π_y = (1, 2)(3, 4)(5, 7) π_z = (2, 3)(4, 5, 7, 6) π_w = (1, 2, 4, 6, 5, 3)
		ID: 64, Chiral, Mirror of 63, Case: 4	π_y = (1, 2)(3, 4)(6, 7) π_z = (2, 3)(4, 5, 6, 7) π_w = (1, 2, 4, 6, 5, 3)
		ID: 65, Chiral, Mirror of 66, Case: 4	π_y = (1, 2)(3, 7)(4, 5) π_z = (2, 3, 4, 5)(6, 7) π_w = (1, 2, 4, 7, 6, 3)
		ID: 66, Chiral, Mirror of 65, Case: 4	π_y = (1, 2)(3, 6)(4, 5) π_z = (2, 3, 6, 5)(4, 7) π_w = (1, 2, 4, 7, 5, 3)
(S11)	N = 7; Q(2, 4, 4, 4) < T(2, 4, 7); (1.2³, 1³.4, 7)
(S11)		ID: 67, Reflexible, Case: 2	π_y = (1, 2)(3, 6)(5, 7) π_z = (2, 3, 5, 4) π_w = (1, 2, 4, 7, 5, 6, 3)
(S12)	N = 7; Q(2, 5, 5, 6) < T(2, 5, 6); (1.2³, 1².5, 1.6)
		ID: 68, Chiral, Mirror of 70, Case: 4	π_y = (1, 2)(3, 6)(5, 7) π_z = (2, 3, 5, 7, 4) π_w = (1, 2, 4, 5, 6, 3)
		ID: 69, Reflexible, Case: 4	π_y = (1, 2)(3, 5)(6, 7) π_z = (2, 3, 5, 6, 4) π_w = (1, 2, 4, 7, 6, 3)
		ID: 70, Chiral, Mirror of 68, Case: 4	π_y = (1, 2)(4, 5)(6, 7) π_z = (2, 3, 6, 7, 5) π_w = (1, 2, 4, 5, 6, 3)
(S15)	N = 7; Q(2, 3, 3, 4) < T(3, 3, 4); (1.3², 1.3², 1.2.4)
		ID: 71, Reflexible, Case: 4	π_y = (2, 3, 4)(5, 6, 7) π_z = (1, 2, 3)(4, 5, 7) π_w = (1, 2)(3, 4, 6, 5)
		ID: 72, Reflexible, Case: 4	π_y = (2, 4, 3)(5, 6, 7) π_z = (1, 3, 4)(2, 5, 6) π_w = (1, 2, 5, 3)(6, 7)
		ID: 73, Chiral, Mirror of 74, Case: 4	π_y = (2, 4, 5)(3, 6, 7) π_z = (1, 3, 4)(5, 7, 6) π_w = (1, 2, 5, 3)(4, 7)
		ID: 74, Chiral, Mirror of 73, Case: 4	π_y = (2, 4, 6)(3, 5, 7) π_z = (1, 3, 4)(2, 6, 7) π_w = (1, 2, 5, 3)(4, 7)
(S13)	N = 7; Q(3, 3, 5, 5) < T(3, 3, 5); (1.3², 1.3², 1².5)
(S13)		ID: 75, Reflexible, Case: 4	π_y = (2, 4, 3)(5, 7, 6) π_z = (1, 3, 4)(2, 6, 7) π_w = (1, 2, 5, 6, 3)
(F34)	N = 8; Q(3, 3, n, n) < T(2, 3, 4n); (2⁴, 1².3², 4²)
(F34)		ID: 76, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 8) π_z = (2, 3, 5)(4, 6, 7) π_w = (1, 2, 4, 3)(5, 7, 8, 6)
(F33)	N = 8; Q(3, 3, n, 3n) < T(2, 3, 6n); (2⁴, 1².3², 2.6)
(F33)		ID: 77, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 8) π_z = (2, 3, 5)(4, 7, 6) π_w = (1, 2, 4, 8, 6, 3)(5, 7)
(F32)	N = 8; Q(3, 3, n, 7n) < T(2, 3, 7n); (2⁴, 1².3², 1.7)
(F32)		ID: 78, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 8) π_z = (2, 3, 5)(6, 8, 7) π_w = (1, 2, 4, 5, 7, 6, 3)
(f5)	N = 8; Q(n, n, n, n) < T(2, 4, 2n); normal; (2⁴, 4², 2⁴)
(f5)		ID: 79, Reflexible, Case: 1	π_y = (1, 6)(2, 8)(3, 4)(5, 7) π_z = (1, 2, 5, 4)(3, 7, 8, 6) π_w = (1, 3)(2, 6)(4, 7)(5, 8)
(F35)	N = 8; Q(n, n, 3n, 3n) < T(2, 4, 3n); (2⁴, 4², 1².3²)
(F35)		ID: 80, Reflexible, Case: 1	π_y = (1, 3)(2, 6)(4, 5)(7, 8) π_z = (1, 2, 4, 3)(5, 7, 8, 6) π_w = (2, 3, 5)(4, 6, 7)
(F31)	N = 8; Q(n, 2n, 4n, 4n) < T(2, 4, 4n); (2⁴, 4², 1².2.4)
(F31)		ID: 81, Reflexible, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 8) π_z = (1, 2, 4, 3)(5, 8, 6, 7) π_w = (2, 3, 6, 5)(4, 7)
(C)	N = 8; T(3, 3, 7) < T(2, 3, 7); (2⁴, 1².3², 1.7)
(C)		ID: 82, Reflexible, Case: 2	π_y = (1, 2)(3, 7)(4, 5)(6, 8) π_z = (2, 3, 5)(6, 8, 7) π_w = (1, 2, 4, 5, 7, 6, 3)
(S18)	N = 8; Q(2, 2, 3, 3) < T(2, 3, 8); (1².2³, 1².3², 8)
		ID: 83, Chiral, Mirror of 85, Case: 3	π_y = (1, 2)(3, 6)(7, 8) π_z = (2, 3, 4)(5, 7, 6) π_w = (1, 2, 4, 6, 8, 7, 5, 3)
		ID: 84, Reflexible, Case: 3	π_y = (1, 2)(3, 6)(5, 8) π_z = (2, 3, 4)(5, 7, 6) π_w = (1, 2, 4, 6, 7, 8, 5, 3)
		ID: 85, Chiral, Mirror of 83, Case: 3	π_y = (1, 2)(4, 5)(6, 8) π_z = (2, 3, 5)(4, 6, 7) π_w = (1, 2, 4, 7, 8, 6, 5, 3)
		ID: 86, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5) π_z = (2, 3, 5)(6, 8, 7) π_w = (1, 2, 4, 5, 7, 8, 6, 3)
(S19)	N = 8; Q(2, 2, 6, 6) < T(2, 4, 6); (1².2³, 4², 1².6)
		ID: 87, Chiral, Mirror of 89, Case: 3	π_y = (1, 3)(4, 5)(6, 8) π_z = (1, 2, 4, 3)(5, 6, 8, 7) π_w = (2, 3, 5, 7, 6, 4)
		ID: 88, Reflexible, Case: 3	π_y = (1, 3)(4, 5)(7, 8) π_z = (1, 2, 4, 3)(5, 6, 7, 8) π_w = (2, 3, 5, 7, 6, 4)
		ID: 89, Chiral, Mirror of 87, Case: 3	π_y = (1, 3)(2, 6)(7, 8) π_z = (1, 2, 4, 3)(5, 7, 8, 6) π_w = (2, 3, 4, 6, 7, 5)
(S21)	N = 8; Q(2, 3, 4, 4) < T(2, 4, 6); (2⁴, 1².2.4, 2.6)
(S21)		ID: 90, Reflexible, Case: 2	π_y = (1, 2)(3, 8)(4, 5)(6, 7) π_z = (2, 3, 6, 5)(7, 8) π_w = (1, 2, 4, 5, 7, 3)(6, 8)
(S20)	N = 8; Q(2, 4, 4, 7) < T(2, 4, 7); (2⁴, 1².2.4, 1.7)
		ID: 91, Chiral, Mirror of 92, Case: 2	π_y = (1, 2)(3, 4)(5, 8)(6, 7) π_z = (2, 3)(4, 5, 6, 7) π_w = (1, 2, 4, 6, 8, 5, 3)
		ID: 92, Chiral, Mirror of 91, Case: 2	π_y = (1, 2)(3, 4)(5, 8)(6, 7) π_z = (2, 3)(4, 5, 8, 7) π_w = (1, 2, 4, 6, 7, 5, 3)
(S16)	N = 8; Q(4, 4, 4, 4) < T(2, 4, 8); (2⁴, 1⁴.4, 8)
(S16)		ID: 93, Reflexible, Case: 1	π_y = (1, 2)(3, 7)(4, 5)(6, 8) π_z = (2, 3, 6, 5) π_w = (1, 2, 4, 5, 8, 6, 7, 3)
(S17)	N = 8; Q(5, 5, 5, 7) < T(2, 5, 7); (2⁴, 1³.5, 1.7)
(S17)		ID: 94, Reflexible, Case: 2	π_y = (1, 2)(3, 7)(4, 5)(6, 8) π_z = (2, 3, 6, 8, 5) π_w = (1, 2, 4, 5, 6, 7, 3)
(S23)	N = 8; Q(6, 6, 6, 6) < T(2, 6, 6); (2⁴, 1².6, 1².6)
		ID: 95, Reflexible, Case: 3	π_y = (1, 2)(3, 6)(4, 5)(7, 8) π_z = (2, 3, 6, 7, 8, 5) π_w = (1, 2, 4, 5, 7, 3)
		ID: 96, Reflexible, Case: 3	π_y = (1, 2)(3, 6)(4, 5)(7, 8) π_z = (2, 3, 6, 7, 4, 5) π_w = (1, 2, 4, 8, 7, 3)
(S22)	N = 8; Q(3, 3, 3, 3) < T(3, 3, 4); (1².3², 1².3², 4²)
		ID: 97, Reflexible, Case: 3	π_y = (3, 5, 4)(6, 7, 8) π_z = (1, 3, 2)(4, 7, 5) π_w = (1, 2, 4, 3)(5, 6, 8, 7)
		ID: 98, Reflexible, Case: 3	π_y = (2, 4, 5)(3, 6, 7) π_z = (1, 3, 4)(5, 8, 6) π_w = (1, 2, 5, 3)(4, 7, 6, 8)
		ID: 99, Reflexible, Case: 3	π_y = (2, 4, 6)(3, 7, 8) π_z = (1, 3, 4)(2, 7, 5) π_w = (1, 2, 5, 3)(4, 8, 7, 6)
(F37)	N = 9; Q(2, n, 3n, 6n) < T(2, 3, 6n); (1.2⁴, 3³, 1.2.6)
(F37)		ID: 100, Reflexible, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 9) π_w = (2, 3, 5, 8, 7, 4)(6, 9)
(F36)	N = 9; Q(2, n, 7n, 7n) < T(2, 3, 7n); (1.2⁴, 3³, 1².7)
(F36)		ID: 101, Reflexible, Case: 2	π_y = (1, 3)(2, 5)(6, 7)(8, 9) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 9) π_w = (2, 3, 5, 7, 8, 6, 4)
(F39)	N = 9; Q(2, 3n, 4n, 6n) < T(2, 3, 12n); (1.2⁴, 3³, 2.3.4)
(F39)		ID: 102, Reflexible, Case: 2	π_y = (1, 5)(2, 7)(4, 9)(6, 8) π_z = (1, 2, 3)(4, 8, 5)(6, 9, 7) π_w = (1, 3, 7, 4)(2, 5, 6)(8, 9)
(F38)	N = 9; Q(2, 3n, 5n, 15n) < T(2, 3, 15n); (1.2⁴, 3³, 1.3.5)
(F38)		ID: 103, Reflexible, Case: 2	π_y = (1, 3)(2, 5)(4, 8)(6, 7) π_z = (1, 2, 3)(4, 6, 5)(7, 9, 8) π_w = (2, 3, 5, 7, 4)(6, 8, 9)
(B)	N = 9; T(2, 7, 7) < T(2, 3, 7); (1.2⁴, 3³, 1².7)
(B)		ID: 104, Reflexible, Case: 3	π_y = (1, 3)(2, 5)(6, 7)(8, 9) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 9) π_w = (2, 3, 5, 7, 8, 6, 4)
(S24)	N = 9; Q(2, 2, 2, 8) < T(2, 3, 8); (1³.2³, 3³, 1.8)
		ID: 105, Chiral, Mirror of 106, Case: 2	π_y = (1, 3)(2, 5)(6, 7) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 9) π_w = (2, 3, 5, 7, 9, 8, 6, 4)
		ID: 106, Chiral, Mirror of 105, Case: 2	π_y = (1, 3)(2, 5)(4, 8) π_z = (1, 2, 3)(4, 6, 5)(7, 9, 8) π_w = (2, 3, 5, 6, 8, 9, 7, 4)
(S25)	N = 9; Q(2, 3, 3, 3) < T(2, 3, 9); (1.2⁴, 1³.3², 9)
		ID: 107, Chiral, Mirror of 108, Case: 2	π_y = (1, 2)(3, 6)(5, 8)(7, 9) π_z = (2, 3, 4)(5, 7, 6) π_w = (1, 2, 4, 6, 9, 7, 8, 5, 3)
		ID: 108, Chiral, Mirror of 107, Case: 2	π_y = (1, 2)(4, 5)(6, 9)(7, 8) π_z = (2, 3, 5)(4, 6, 8) π_w = (1, 2, 4, 7, 8, 9, 6, 5, 3)
(S28)	N = 9; Q(2, 3, 4, 6) < T(2, 4, 6); (1.2⁴, 1.4², 1.2.6)
		ID: 109, Chiral, Mirror of 112, Case: 4	π_y = (1, 2)(3, 8)(5, 7)(6, 9) π_z = (2, 3, 5, 4)(6, 9, 7, 8) π_w = (1, 2, 4, 7, 6, 3)(5, 8)
		ID: 110, Chiral, Mirror of 111, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 9) π_z = (2, 3, 4, 5)(6, 8, 9, 7) π_w = (1, 2, 4, 7, 6, 3)(8, 9)
		ID: 111, Chiral, Mirror of 110, Case: 4	π_y = (1, 2)(3, 6)(4, 5)(7, 8) π_z = (2, 3, 6, 5)(4, 7, 9, 8) π_w = (1, 2, 4, 7, 5, 3)(8, 9)
		ID: 112, Chiral, Mirror of 109, Case: 4	π_y = (1, 2)(4, 5)(6, 7)(8, 9) π_z = (2, 3, 6, 5)(4, 7, 8, 9) π_w = (1, 2, 4, 8, 6, 3)(5, 7)
(S27)	N = 9; Q(2, 4, 7, 7) < T(2, 4, 7); (1.2⁴, 1.4², 1².7)
		ID: 113, Chiral, Mirror of 115, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(8, 9) π_z = (2, 3, 4, 5)(6, 8, 9, 7) π_w = (1, 2, 4, 7, 8, 6, 3)
		ID: 114, Chiral, Mirror of 116, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 8) π_z = (2, 3, 4, 5)(6, 8, 9, 7) π_w = (1, 2, 4, 7, 9, 6, 3)
		ID: 115, Chiral, Mirror of 115, Case: 4	π_y = (1, 2)(3, 6)(4, 5)(7, 9) π_z = (2, 3, 6, 5)(4, 7, 9, 8) π_w = (1, 2, 4, 8, 7, 5, 3)
		ID: 116, Chiral, Mirror of 114, Case: 4	π_y = (1, 2)(3, 6)(4, 5)(8, 9) π_z = (2, 3, 6, 5)(4, 7, 8, 9) π_w = (1, 2, 4, 8, 7, 5, 3)
(S26)	N = 9; Q(3, 3, 3, 4) < T(3, 3, 4); (1³.3², 3³, 1.4²)
(S26)		ID: 117, Reflexible, Case: 2	π_y = (3, 5, 4)(6, 7, 9) π_z = (1, 3, 2)(4, 7, 5)(6, 9, 8) π_w = (1, 2, 4, 3)(5, 6, 8, 7)
(F40)	N = 10; Q(3, n, 8n, 8n) < T(2, 3, 8n); (2⁵, 1.3³, 1².8)
(F40)		ID: 118, Reflexible, Case: 2	π_y = (1, 2)(3, 9)(4, 5)(6, 10)(7, 8) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9) π_w = (1, 2, 4, 7, 5, 9, 6, 3)
(F41)	N = 10; Q(3, 2n, 7n, 14n) < T(2, 3, 14n); (2⁵, 1.3³, 1.2.7)
(F41)		ID: 119, Reflexible, Case: 2	π_y = (1, 2)(3, 7)(4, 5)(6, 8)(9, 10) π_z = (2, 3, 5)(4, 7, 6)(8, 9, 10) π_w = (1, 2, 4, 8, 9, 6, 3)(5, 7)
(F42)	N = 10; Q(3, 4n, 5n, 20n) < T(2, 3, 20n); (2⁵, 1.3³, 1.4.5)
(F42)		ID: 120, Reflexible, Case: 2	π_y = (1, 2)(3, 7)(4, 5)(6, 9)(8, 10) π_z = (2, 3, 5)(4, 6, 7)(8, 10, 9) π_w = (1, 2, 4, 3)(5, 7, 9, 8, 6)
(F43)	N = 10; Q(3, 6n, 10n, 15n) < T(2, 3, 30n); (2⁵, 1.3³, 2.3.5)
(F43)		ID: 121, Reflexible, Case: 2	π_y = (1, 2)(3, 9)(4, 5)(6, 8)(7, 10) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9) π_w = (1, 2, 4, 6, 3)(5, 9, 7)(8, 10)
(S33)	N = 10; Q(2, 2, 3, 4) < T(2, 3, 8); (1².2⁴, 1.3³, 2.8)
		ID: 122, Chiral, Mirror of 123, Case: 4	π_y = (1, 2)(3, 6)(5, 10)(7, 9) π_z = (2, 3, 4)(5, 7, 6)(8, 9, 10) π_w = (1, 2, 4, 6, 9, 8, 5, 3)(7, 10)
		ID: 123, Chiral, Mirror of 122, Case: 4	π_y = (1, 2)(4, 5)(6, 10)(7, 8) π_z = (2, 3, 5)(4, 6, 8)(7, 10, 9) π_w = (1, 2, 4, 7, 9, 6, 5, 3)(8, 10)
		ID: 124, Reflexible, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 8) π_z = (2, 3, 5)(4, 7, 6)(8, 9, 10) π_w = (1, 2, 4, 8, 10, 9, 6, 3)(5, 7)
(E)	N = 10; T(3, 8, 8) < T(2, 3, 8); (2⁵, 1.3³, 1².8)
(E)		ID: 125, Reflexible, Case: 3	π_y = (1, 2)(3, 9)(4, 5)(6, 10)(7, 8) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9) π_w = (1, 2, 4, 7, 5, 9, 6, 3)
(S32)	N = 10; Q(2, 2, 3, 9) < T(2, 3, 9); (1².2⁴, 1.3³, 1.9)
		ID: 126, Chiral, Mirror of 128, Case: 4	π_y = (1, 2)(3, 6)(7, 8)(9, 10) π_z = (2, 3, 4)(5, 7, 6)(8, 9, 10) π_w = (1, 2, 4, 6, 8, 9, 7, 5, 3)
		ID: 127, Chiral, Mirror of 129, Case: 4	π_y = (1, 2)(3, 6)(5, 9)(8, 10) π_z = (2, 3, 4)(5, 7, 6)(8, 10, 9) π_w = (1, 2, 4, 6, 7, 9, 8, 5, 3)
		ID: 128, Chiral, Mirror of 126, Case: 4	π_y = (1, 2)(4, 5)(6, 9)(8, 10) π_z = (2, 3, 5)(4, 6, 7)(8, 10, 9) π_w = (1, 2, 4, 7, 9, 8, 6, 5, 3)
		ID: 129, Chiral, Mirror of 127, Case: 4	π_y = (1, 2)(4, 5)(7, 8)(9, 10) π_z = (2, 3, 5)(4, 6, 8)(7, 9, 10) π_w = (1, 2, 4, 7, 9, 8, 6, 5, 3)
		ID: 130, Chiral, Mirror of 131, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(7, 8) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9) π_w = (1, 2, 4, 7, 5, 9, 10, 6, 3)
		ID: 131, Chiral, Mirror of 130, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 10) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9) π_w = (1, 2, 4, 8, 7, 5, 9, 6, 3)
(S29)	N = 10; Q(3, 3, 3, 3) < T(2, 3, 10); (2⁵, 1⁴.3², 10)
(S29)		ID: 132, Reflexible, Case: 1	π_y = (1, 2)(3, 7)(4, 5)(6, 9)(8, 10) π_z = (2, 3, 5)(6, 8, 7) π_w = (1, 2, 4, 5, 7, 10, 8, 9, 6, 3)
(S31ii)	N = 10; Q(2, 2, 4, 4) < T(2, 4, 5); (1².2⁴, 1².4², 5²)
		ID: 133, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(5, 6)(8, 10) π_z = (2, 3, 5, 4)(6, 8, 9, 7) π_w = (1, 2, 4, 6, 3)(5, 7, 9, 10, 8)
		ID: 134, Chiral, Mirror of 135, Case: 3	π_y = (1, 2)(3, 7)(5, 6)(9, 10) π_z = (2, 3, 5, 4)(6, 8, 10, 7) π_w = (1, 2, 4, 6, 3)(5, 7, 9, 10, 8)
		ID: 135, Chiral, Mirror of 134, Case: 3	π_y = (1, 2)(4, 5)(6, 8)(7, 10) π_z = (2, 3, 6, 5)(4, 7, 9, 8) π_w = (1, 2, 4, 6, 3)(5, 8, 9, 10, 7)
		ID: 136, Reflexible, Case: 3	π_y = (1, 2)(3, 9)(4, 5)(8, 10) π_z = (2, 3, 6, 5)(4, 8, 9, 7) π_w = (1, 2, 4, 7, 3)(5, 6, 9, 10, 8)
		ID: 137, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 9) π_z = (2, 3, 6, 5)(4, 8, 10, 7) π_w = (1, 2, 4, 7, 3)(5, 9, 6, 10, 8)
(S31i)	N = 10; Q(2, 2, 4, 4) < T(2, 4, 5); (2⁵, 1².2².4, 5²)
		ID: 138, Reflexible, Case: 1	π_y = (1, 2)(3, 4)(5, 6)(7, 8)(9, 10) π_z = (2, 3)(4, 5, 7, 6)(8, 9) π_w = (1, 2, 4, 5, 3)(6, 8, 10, 9, 7)
		ID: 139, Reflexible, Case: 1	π_y = (1, 2)(3, 10)(4, 5)(6, 9)(7, 8) π_z = (2, 3, 6, 5)(4, 8)(7, 10) π_w = (1, 2, 4, 7, 3)(5, 9, 6, 10, 8)
(S36)	N = 10; Q(2, 4, 4, 6) < T(2, 4, 6); (2⁵, 1².4², 1.3.6)
		ID: 140, Chiral, Mirror of 141, Case: 3	π_y = (1, 2)(3, 4)(5, 6)(7, 10)(8, 9) π_z = (2, 3, 5, 4)(6, 7, 8, 9) π_w = (1, 2, 3)(4, 6, 8, 10, 7, 5)
		ID: 141, Chiral, Mirror of 140, Case: 3	π_y = (1, 2)(3, 4)(5, 6)(7, 10)(8, 9) π_z = (2, 3, 5, 4)(6, 7, 10, 9) π_w = (1, 2, 3)(4, 6, 8, 9, 7, 5)
		ID: 142, Reflexible, Case: 3	π_y = (1, 2)(3, 8)(4, 5)(6, 7)(9, 10) π_z = (2, 3, 6, 5)(7, 9, 10, 8) π_w = (1, 2, 4, 5, 7, 3)(6, 8, 9)
(S37)	N = 10; Q(3, 3, 4, 4) < T(2, 4, 6); (2⁵, 1².4², 2².6)
(S37)		ID: 143, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 8)(7, 9) π_z = (2, 3, 6, 5)(4, 8, 10, 7) π_w = (1, 2, 4, 9, 7, 3)(5, 8)(6, 10)
(S34)	N = 10; Q(4, 4, 8, 8) < T(2, 4, 8); (2⁵, 1².4², 1².8)
		ID: 144, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 9)(8, 10) π_z = (2, 3, 4, 5)(6, 8, 10, 7) π_w = (1, 2, 4, 7, 8, 9, 6, 3)
		ID: 145, Chiral, Mirror of 146, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 8)(9, 10) π_z = (2, 3, 4, 5)(6, 8, 9, 7) π_w = (1, 2, 4, 7, 10, 9, 6, 3)
		ID: 146, Chiral, Mirror of 145, Case: 3	π_y = (1, 2)(3, 6)(4, 5)(7, 10)(8, 9) π_z = (2, 3, 6, 5)(4, 7, 8, 9) π_w = (1, 2, 4, 8, 10, 7, 5, 3)
(S30)	N = 10; Q(6, 6, 6, 6) < T(2, 5, 6); (2⁵, 5², 1⁴.6)
(S30)		ID: 147, Reflexible, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 8)(9, 10) π_z = (1, 2, 4, 6, 3)(5, 8, 9, 10, 7) π_w = (2, 3, 4, 7, 9, 5)
(S35)	N = 10; Q(3, 3, 4, 4) < T(3, 3, 4); (1.3³, 1.3³, 1².4²)
		ID: 148, Reflexible, Case: 4	π_y = (2, 4, 3)(5, 6, 7)(8, 9, 10) π_z = (1, 3, 4)(2, 5, 6)(7, 8, 10) π_w = (1, 2, 5, 3)(6, 7, 9, 8)
		ID: 149, Chiral, Mirror of 151, Case: 4	π_y = (2, 4, 6)(3, 7, 8)(5, 9, 10) π_z = (1, 3, 4)(2, 10, 9)(5, 8, 7) π_w = (1, 2, 5, 3)(4, 8, 10, 6)
		ID: 150, Reflexible, Case: 4	π_y = (2, 4, 6)(3, 7, 8)(5, 9, 10) π_z = (1, 3, 4)(2, 6, 9)(5, 8, 7) π_w = (1, 2, 5, 3)(4, 8, 10, 9)
		ID: 151, Chiral, Mirror of 149, Case: 4	π_y = (2, 4, 6)(3, 7, 8)(5, 9, 10) π_z = (1, 3, 4)(2, 6, 9)(5, 10, 7) π_w = (1, 2, 5, 3)(4, 8, 7, 9)
(S38)	N = 11; Q(2, 3, 3, 10) < T(2, 3, 10); (1.2⁵, 1².3³, 1.10)
		ID: 152, Chiral, Mirror of 154, Case: 4	π_y = (1, 2)(3, 6)(5, 8)(7, 9)(10, 11) π_z = (2, 3, 4)(5, 7, 6)(9, 10, 11) π_w = (1, 2, 4, 6, 9, 10, 7, 8, 5, 3)
		ID: 153, Chiral, Mirror of 155, Case: 4	π_y = (1, 2)(3, 6)(5, 10)(7, 9)(8, 11) π_z = (2, 3, 4)(5, 7, 6)(8, 11, 10) π_w = (1, 2, 4, 6, 9, 7, 10, 8, 5, 3)
		ID: 154, Chiral, Mirror of 152, Case: 4	π_y = (1, 2)(4, 5)(6, 10)(7, 8)(9, 11) π_z = (2, 3, 5)(4, 6, 8)(9, 11, 10) π_w = (1, 2, 4, 7, 8, 10, 9, 6, 5, 3)
		ID: 155, Chiral, Mirror of 153, Case: 4	π_y = (1, 2)(4, 5)(6, 9)(7, 8)(10, 11) π_z = (2, 3, 5)(4, 6, 8)(7, 10, 11) π_w = (1, 2, 4, 7, 10, 8, 9, 6, 5, 3)
		ID: 156, Chiral, Mirror of 157, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(8, 9)(10, 11) π_z = (2, 3, 5)(6, 8, 7)(9, 10, 11) π_w = (1, 2, 4, 5, 7, 9, 10, 8, 6, 3)
		ID: 157, Chiral, Mirror of 156, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 10)(9, 11) π_z = (2, 3, 5)(6, 8, 7)(9, 11, 10) π_w = (1, 2, 4, 5, 7, 8, 10, 9, 6, 3)
(S39)	N = 11; Q(2, 2, 4, 5) < T(2, 4, 5); (1.2⁵, 1.2.4², 1.5²)
		ID: 158, Chiral, Mirror of 159, Case: 4	π_y = (1, 2)(3, 4)(5, 6)(7, 8)(9, 11) π_z = (2, 3)(4, 5, 7, 6)(8, 9, 11, 10) π_w = (1, 2, 4, 5, 3)(6, 8, 10, 9, 7)
		ID: 159, Chiral, Mirror of 158, Case: 4	π_y = (1, 2)(3, 4)(5, 6)(7, 8)(10, 11) π_z = (2, 3)(4, 5, 7, 6)(8, 9, 10, 11) π_w = (1, 2, 4, 5, 3)(6, 8, 10, 9, 7)
		ID: 160, Chiral, Mirror of 161, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(7, 8)(10, 11) π_z = (2, 3, 6, 5)(4, 8)(7, 10, 11, 9) π_w = (1, 2, 4, 7, 3)(5, 6, 9, 10, 8)
		ID: 161, Chiral, Mirror of 160, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(7, 9)(8, 11) π_z = (2, 3, 6, 5)(4, 8, 11, 9)(7, 10) π_w = (1, 2, 4, 7, 3)(5, 6, 10, 9, 8)
		ID: 162, Reflexible, Case: 4	π_y = (1, 2)(3, 8)(4, 5)(6, 10)(7, 9) π_z = (2, 3, 6, 5)(4, 8, 7, 9)(10, 11) π_w = (1, 2, 4, 7, 3)(5, 10, 11, 6, 8)
(f6)	N = 12; Q(n, n, n, n) < T(2, 3, 3n); normal; (2⁶, 3⁴, 3⁴)
(f6)		ID: 163, Reflexible, Case: 1	π_y = (1, 6)(2, 10)(3, 4)(5, 9)(7, 11)(8, 12) π_z = (1, 2, 4)(3, 8, 9)(5, 11, 6)(7, 12, 10) π_w = (1, 3, 5)(2, 6, 7)(4, 10, 8)(9, 12, 11)
(F48)	N = 12; Q(n, n, 2n, 2n) < T(2, 3, 4n); (2⁶, 3⁴, 2².4²)
(F48)		ID: 164, Reflexible, Case: 1	π_y = (1, 5)(2, 8)(3, 4)(6, 12)(7, 9)(10, 11) π_z = (1, 2, 4)(3, 7, 5)(6, 10, 8)(9, 11, 12) π_w = (1, 3)(2, 5, 9, 6)(4, 8, 11, 7)(10, 12)
(F46)	N = 12; Q(n, n, 5n, 5n) < T(2, 3, 5n); (2⁶, 3⁴, 1².5²)
(F46)		ID: 165, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 8)(6, 7)(9, 10)(11, 12) π_z = (1, 2, 3)(4, 6, 5)(7, 9, 8)(10, 11, 12) π_w = (2, 3, 5, 7, 4)(6, 8, 10, 11, 9)
(F47)	N = 12; Q(n, 2n, 3n, 6n) < T(2, 3, 6n); (2⁶, 3⁴, 1.2.3.6)
(F47)		ID: 166, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 12)(10, 11) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 12) π_w = (2, 3, 5, 8, 7, 4)(6, 9, 10)(11, 12)
(F45)	N = 12; Q(n, 4n, 8n, 8n) < T(2, 3, 8n); (2⁶, 3⁴, 1².2.8)
(F45)		ID: 167, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 11)(10, 12) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 9)(10, 12, 11) π_w = (2, 3, 5, 8, 11, 10, 7, 4)(6, 9)
(F44)	N = 12; Q(n, 9n, 9n, 9n) < T(2, 3, 9n); (2⁶, 3⁴, 1³.9)
(F44)		ID: 168, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 11)(10, 12) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 12) π_w = (2, 3, 5, 8, 10, 6, 9, 7, 4)
(S49)	N = 12; Q(2, 2, 4, 4) < T(2, 3, 8); (1².2⁵, 3⁴, 2².8)
(S49)		ID: 169, Reflexible, Case: 3	π_y = (1, 5)(2, 6)(4, 8)(7, 12)(9, 11) π_z = (1, 2, 3)(4, 6, 5)(7, 9, 8)(10, 11, 12) π_w = (1, 3, 6, 8, 11, 10, 7, 4)(2, 5)(9, 12)
(S45)	N = 12; Q(2, 3, 3, 3) < T(2, 3, 8); (2⁶, 1³.3³, 4.8)
(S45)		ID: 170, Reflexible, Case: 2	π_y = (1, 2)(3, 7)(4, 5)(6, 9)(8, 11)(10, 12) π_z = (2, 3, 5)(4, 6, 7)(8, 10, 9) π_w = (1, 2, 4, 3)(5, 7, 9, 12, 10, 11, 8, 6)
(D)	N = 12; T(4, 8, 8) < T(2, 3, 8); (2⁶, 3⁴, 1².2.8)
(D)		ID: 171, Reflexible, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 11)(10, 12) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 9)(10, 12, 11) π_w = (2, 3, 5, 8, 11, 10, 7, 4)(6, 9)
(S44)	N = 12; Q(3, 3, 3, 3) < T(2, 3, 9); (2⁶, 1³.3³, 3.9)
(S44)		ID: 172, Reflexible, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 12)(7, 11)(8, 9) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10) π_w = (1, 2, 4, 8, 9, 11, 12, 6, 3)(5, 10, 7)
(F)	N = 12; T(9, 9, 9) < T(2, 3, 9); (2⁶, 3⁴, 1³.9)
(F)		ID: 173, Reflexible, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 11)(10, 12) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 12) π_w = (2, 3, 5, 8, 10, 6, 9, 7, 4)
(S48)	N = 12; Q(2, 2, 10, 10) < T(2, 3, 10); (1².2⁵, 3⁴, 1².10)
		ID: 174, Chiral, Mirror of 176, Case: 3	π_y = (1, 3)(2, 5)(6, 7)(8, 11)(10, 12) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 9)(10, 12, 11) π_w = (2, 3, 5, 7, 9, 11, 10, 8, 6, 4)
		ID: 175, Reflexible, Case: 3	π_y = (1, 3)(2, 5)(6, 7)(9, 10)(11, 12) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 10)(9, 11, 12) π_w = (2, 3, 5, 7, 9, 11, 10, 8, 6, 4)
		ID: 176, Chiral, Mirror of 174, Case: 3	π_y = (1, 3)(2, 5)(4, 8)(9, 10)(11, 12) π_z = (1, 2, 3)(4, 6, 5)(7, 9, 8)(10, 11, 12) π_w = (2, 3, 5, 6, 8, 10, 11, 9, 7, 4)
		ID: 177, Reflexible, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 11) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 12) π_w = (2, 3, 5, 8, 12, 10, 6, 9, 7, 4)
(S43)	N = 12; Q(3, 3, 3, 5) < T(2, 3, 10); (2⁶, 1³.3³, 2.10)
(S43)		ID: 178, Reflexible, Case: 2	π_y = (1, 2)(3, 7)(4, 5)(6, 11)(8, 10)(9, 12) π_z = (2, 3, 5)(6, 8, 7)(9, 10, 11) π_w = (1, 2, 4, 5, 7, 10, 12, 9, 6, 3)(8, 11)
(S42)	N = 12; Q(3, 3, 3, 11) < T(2, 3, 11); (2⁶, 1³.3³, 1.11)
		ID: 179, Chiral, Mirror of 180, Case: 2	π_y = (1, 2)(3, 7)(4, 5)(6, 9)(8, 10)(11, 12) π_z = (2, 3, 5)(6, 8, 7)(10, 11, 12) π_w = (1, 2, 4, 5, 7, 10, 11, 8, 9, 6, 3)
		ID: 180, Chiral, Mirror of 179, Case: 2	π_y = (1, 2)(3, 7)(4, 5)(6, 11)(8, 10)(9, 12) π_z = (2, 3, 5)(6, 8, 7)(9, 12, 11) π_w = (1, 2, 4, 5, 7, 10, 8, 11, 9, 6, 3)
(S47ii)	N = 12; Q(2, 2, 5, 5) < T(2, 4, 5); (1².2⁵, 4³, 1².5²)
		ID: 181, Chiral, Mirror of 183, Case: 3	π_y = (1, 3)(4, 5)(6, 7)(8, 9)(10, 12) π_z = (1, 2, 4, 3)(5, 6, 8, 7)(9, 10, 12, 11) π_w = (2, 3, 5, 6, 4)(7, 9, 11, 10, 8)
		ID: 182, Reflexible, Case: 3	π_y = (1, 3)(4, 5)(6, 7)(8, 9)(11, 12) π_z = (1, 2, 4, 3)(5, 6, 8, 7)(9, 10, 11, 12) π_w = (2, 3, 5, 6, 4)(7, 9, 11, 10, 8)
		ID: 183, Chiral, Mirror of 181, Case: 3	π_y = (1, 3)(2, 6)(5, 8)(7, 10)(11, 12) π_z = (1, 2, 4, 3)(5, 7, 8, 6)(9, 11, 12, 10) π_w = (2, 3, 4, 6, 5)(7, 8, 10, 11, 9)
		ID: 184, Chiral, Mirror of 185, Case: 3	π_y = (1, 3)(2, 7)(4, 6)(8, 12)(9, 10) π_z = (1, 2, 4, 3)(5, 9, 11, 7)(6, 8, 12, 10) π_w = (2, 3, 6, 9, 5)(4, 7, 11, 10, 8)
		ID: 185, Chiral, Mirror of 184, Case: 3	π_y = (1, 3)(2, 7)(4, 6)(5, 12)(9, 11) π_z = (1, 2, 4, 3)(5, 9, 11, 7)(6, 8, 12, 10) π_w = (2, 3, 6, 10, 5)(4, 7, 9, 12, 8)
		ID: 186, Reflexible, Case: 3	π_y = (1, 3)(2, 7)(4, 6)(5, 9)(10, 11) π_z = (1, 2, 4, 3)(5, 9, 10, 7)(6, 8, 12, 11) π_w = (2, 3, 6, 10, 5)(4, 7, 11, 12, 8)
(S47i)	N = 12; Q(2, 2, 5, 5) < T(2, 4, 5); (2⁶, 2².4², 1².5²)
		ID: 187, Reflexible, Case: 3	π_y = (1, 3)(2, 7)(4, 6)(5, 10)(8, 9)(11, 12) π_z = (1, 2, 4, 3)(5, 7)(6, 8)(9, 11, 12, 10) π_w = (2, 3, 6, 9, 5)(4, 7, 10, 11, 8)
		ID: 188, Chiral, Mirror of 189, Case: 3	π_y = (1, 3)(2, 7)(4, 6)(5, 11)(8, 12)(9, 10) π_z = (1, 2, 4, 3)(5, 7)(6, 8, 12, 10)(9, 11) π_w = (2, 3, 6, 9, 5)(4, 7, 11, 10, 8)
		ID: 189, Chiral, Mirror of 188, Case: 3	π_y = (1, 3)(2, 7)(4, 6)(5, 12)(8, 10)(9, 11) π_z = (1, 2, 4, 3)(5, 9, 11, 7)(6, 8)(10, 12) π_w = (2, 3, 6, 10, 5)(4, 7, 9, 12, 8)
(S40)	N = 12; Q(4, 4, 4, 4) < T(2, 4, 6); (2⁶, 1⁴.4², 6²)
		ID: 190, Reflexible, Case: 1	π_y = (1, 2)(3, 8)(4, 5)(6, 7)(9, 12)(10, 11) π_z = (2, 3, 6, 5)(7, 9, 11, 8) π_w = (1, 2, 4, 5, 7, 3)(6, 8, 10, 11, 12, 9)
		ID: 191, Reflexible, Case: 1	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 12) π_z = (2, 3, 6, 5)(4, 8, 11, 7) π_w = (1, 2, 4, 9, 7, 3)(5, 10, 6, 11, 12, 8)
(S50)	N = 12; Q(3, 3, 6, 6) < T(2, 4, 6); (2⁶, 4³, 1².2².6)
(S50)		ID: 192, Reflexible, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 11)(8, 10)(9, 12) π_z = (1, 2, 4, 3)(5, 8, 6, 7)(9, 12, 10, 11) π_w = (2, 3, 6, 10, 9, 5)(4, 7)(8, 11)
(S46)	N = 12; Q(2, 6, 6, 6) < T(2, 4, 6); (2⁶, 4³, 1³.3.6)
(S46)		ID: 193, Reflexible, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 9)(8, 10)(11, 12) π_z = (1, 2, 4, 3)(5, 9, 10, 7)(6, 8, 11, 12) π_w = (2, 3, 6, 11, 10, 5)(4, 7, 8)
(S51)	N = 12; Q(5, 5, 5, 5) < T(2, 5, 5); (2⁶, 1².5², 1².5²)
		ID: 194, Reflexible, Case: 3	π_y = (1, 2)(3, 6)(4, 5)(7, 8)(9, 12)(10, 11) π_z = (2, 3, 4, 7, 5)(8, 9, 12, 10, 11) π_w = (1, 2, 4, 6, 3)(5, 8, 10, 9, 7)
		ID: 195, Reflexible, Case: 3	π_y = (1, 2)(3, 8)(4, 5)(6, 7)(9, 12)(10, 11) π_z = (2, 3, 6, 4, 5)(7, 9, 10, 11, 8) π_w = (1, 2, 4, 7, 3)(6, 8, 10, 12, 9)
		ID: 196, Chiral, Mirror of 198, Case: 3	π_y = (1, 2)(3, 8)(4, 5)(6, 7)(9, 12)(10, 11) π_z = (2, 3, 6, 4, 5)(7, 9, 12, 11, 8) π_w = (1, 2, 4, 7, 3)(6, 8, 10, 11, 9)
		ID: 197, Reflexible, Case: 3	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 12) π_z = (2, 3, 6, 10, 5)(4, 8, 11, 7, 9) π_w = (1, 2, 4, 7, 3)(5, 6, 11, 12, 8)
		ID: 198, Chiral, Mirror of 196, Case: 3	π_y = (1, 2)(3, 6)(4, 5)(7, 9)(8, 11)(10, 12) π_z = (2, 3, 6, 7, 5)(4, 8, 10, 12, 9) π_w = (1, 2, 4, 7, 3)(5, 9, 10, 11, 8)
(S41)	N = 12; Q(4, 4, 4, 4) < T(3, 3, 4); (3⁴, 3⁴, 1⁴.4²)
(S41)		ID: 199, Reflexible, Case: 1	π_y = (1, 2, 3)(4, 7, 9)(5, 6, 10)(8, 11, 12) π_z = (1, 7, 2)(3, 5, 10)(4, 9, 11)(6, 8, 12) π_w = (2, 4, 8, 5)(3, 6, 11, 7)
(S55)	N = 13; Q(2, 2, 3, 8) < T(2, 3, 8); (1.2⁶, 1.3⁴, 1.4.8)
		ID: 200, Chiral, Mirror of 201, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 9)(10, 11)(12, 13) π_z = (2, 3, 5)(4, 6, 7)(8, 10, 9)(11, 12, 13) π_w = (1, 2, 4, 3)(5, 7, 9, 11, 12, 10, 8, 6)
		ID: 201, Chiral, Mirror of 200, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 9)(8, 12)(11, 13) π_z = (2, 3, 5)(4, 6, 7)(8, 10, 9)(11, 13, 12) π_w = (1, 2, 4, 3)(5, 7, 9, 10, 12, 11, 8, 6)
		ID: 202, Chiral, Mirror of 203, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 12)(8, 9)(11, 13) π_z = (2, 3, 5)(4, 7, 9)(6, 8, 10)(11, 13, 12) π_w = (1, 2, 4, 8, 12, 11, 6, 3)(5, 10, 9, 7)
		ID: 203, Chiral, Mirror of 202, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 7)(8, 9)(12, 13) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 12, 13) π_w = (1, 2, 4, 8, 12, 9, 6, 3)(5, 10, 11, 7)
(S54)	N = 13; Q(2, 3, 3, 9) < T(2, 3, 9); (1.2⁶, 1.3⁴, 1.3.9)
		ID: 204, Chiral, Mirror of 206, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 12)(7, 8)(10, 11) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 13, 12) π_w = (1, 2, 4, 7, 5, 9, 11, 6, 3)(10, 12, 13)
		ID: 205, Chiral, Mirror of 207, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 12)(7, 10)(11, 13) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 13, 12) π_w = (1, 2, 4, 8, 10, 12, 11, 6, 3)(5, 9, 7)
		ID: 206, Chiral, Mirror of 204, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 13)(8, 9) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 12, 13) π_w = (1, 2, 4, 8, 7, 5, 10, 6, 3)(9, 13, 12)
		ID: 207, Chiral, Mirror of 205, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(7, 11)(8, 9)(12, 13) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 12, 13) π_w = (1, 2, 4, 8, 12, 9, 11, 6, 3)(5, 10, 7)
(S53)	N = 13; Q(2, 3, 5, 10) < T(2, 3, 10); (1.2⁶, 1.3⁴, 1.2.10)
		ID: 208, Chiral, Mirror of 209, Case: 4	π_y = (1, 2)(3, 6)(5, 10)(7, 9)(8, 12)(11, 13) π_z = (2, 3, 4)(5, 7, 6)(8, 9, 10)(11, 13, 12) π_w = (1, 2, 4, 6, 9, 12, 11, 8, 5, 3)(7, 10)
		ID: 209, Chiral, Mirror of 208, Case: 4	π_y = (1, 2)(4, 5)(6, 10)(7, 8)(9, 11)(12, 13) π_z = (2, 3, 5)(4, 6, 8)(7, 10, 9)(11, 12, 13) π_w = (1, 2, 4, 7, 11, 12, 9, 6, 5, 3)(8, 10)
		ID: 210, Chiral, Mirror of 213, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 13)(7, 8)(10, 12) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 12, 13) π_w = (1, 2, 4, 7, 5, 9, 12, 11, 6, 3)(10, 13)
		ID: 211, Chiral, Mirror of 212, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 8)(9, 12)(11, 13) π_z = (2, 3, 5)(4, 7, 6)(8, 9, 10)(11, 13, 12) π_w = (1, 2, 4, 8, 10, 12, 11, 9, 6, 3)(5, 7)
		ID: 212, Chiral, Mirror of 211, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 8)(10, 11)(12, 13) π_z = (2, 3, 5)(4, 7, 6)(8, 9, 11)(10, 12, 13) π_w = (1, 2, 4, 8, 10, 12, 11, 9, 6, 3)(5, 7)
		ID: 213, Chiral, Mirror of 210, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 13)(8, 9) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 12) π_w = (1, 2, 4, 8, 12, 7, 5, 10, 6, 3)(9, 13)
(S52)	N = 13; Q(2, 3, 11, 11) < T(2, 3, 11); (1.2⁶, 1.3⁴, 1².11)
		ID: 214, Chiral, Mirror of 215, Case: 4	π_y = (1, 2)(3, 6)(5, 10)(7, 9)(8, 12)(11, 13) π_z = (2, 3, 4)(5, 7, 6)(8, 12, 10)(9, 11, 13) π_w = (1, 2, 4, 6, 9, 11, 7, 10, 8, 5, 3)
		ID: 215, Chiral, Mirror of 214, Case: 4	π_y = (1, 2)(4, 5)(6, 12)(7, 8)(9, 13)(10, 11) π_z = (2, 3, 5)(4, 6, 8)(7, 10, 11)(9, 13, 12) π_w = (1, 2, 4, 7, 10, 8, 12, 9, 6, 5, 3)
		ID: 216, Chiral, Mirror of 217, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(7, 8)(10, 11)(12, 13) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 12, 13) π_w = (1, 2, 4, 7, 5, 9, 11, 12, 10, 6, 3)
		ID: 217, Chiral, Mirror of 216, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 12)(7, 8)(11, 13) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 13, 12) π_w = (1, 2, 4, 7, 5, 9, 10, 12, 11, 6, 3)
		ID: 218, Chiral, Mirror of 219, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 10)(7, 12)(11, 13) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 13, 12) π_w = (1, 2, 4, 8, 12, 11, 7, 5, 9, 6, 3)
		ID: 219, Chiral, Mirror of 218, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(8, 9)(12, 13) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 12, 13) π_w = (1, 2, 4, 8, 12, 9, 7, 5, 10, 6, 3)
(S56)	N = 14; Q(2, 2, 3, 3) < T(2, 3, 7); (1².2⁶, 1².3⁴, 7²)
		ID: 220, Reflexible, Case: 3	π_y = (1, 2)(3, 6)(5, 9)(7, 8)(10, 11)(12, 14) π_z = (2, 3, 4)(5, 7, 6)(8, 10, 9)(11, 12, 13) π_w = (1, 2, 4, 6, 8, 5, 3)(7, 9, 11, 13, 14, 12, 10)
		ID: 221, Chiral, Mirror of 222, Case: 3	π_y = (1, 2)(3, 6)(5, 9)(7, 8)(10, 11)(13, 14) π_z = (2, 3, 4)(5, 7, 6)(8, 10, 9)(11, 12, 14) π_w = (1, 2, 4, 6, 8, 5, 3)(7, 9, 11, 13, 14, 12, 10)
		ID: 222, Chiral, Mirror of 221, Case: 3	π_y = (1, 2)(4, 5)(6, 10)(7, 8)(9, 12)(11, 14) π_z = (2, 3, 5)(4, 6, 8)(7, 9, 10)(11, 13, 12) π_w = (1, 2, 4, 7, 6, 5, 3)(8, 10, 12, 13, 14, 11, 9)
		ID: 223, Reflexible, Case: 3	π_y = (1, 2)(3, 9)(4, 5)(6, 13)(7, 11)(12, 14) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 12, 13) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 9, 10, 13, 14, 12, 7)
		ID: 224, Chiral, Mirror of 226, Case: 3	π_y = (1, 2)(3, 9)(4, 5)(6, 14)(7, 11)(10, 13) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 12, 14) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 9, 13, 10, 14, 12, 7)
		ID: 225, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 13)(8, 9) π_z = (2, 3, 5)(4, 7, 9)(6, 8, 10)(12, 14, 13) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 9, 13, 14, 12, 7)
		ID: 226, Chiral, Mirror of 224, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(7, 12)(8, 9)(11, 14) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 14, 13, 9, 12, 7)
		ID: 227, Chiral, Mirror of 228, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 13)(8, 9)(11, 14) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 12) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 14, 11, 13, 9, 7)
		ID: 228, Chiral, Mirror of 227, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 13)(8, 9) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 12) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 11, 14, 9, 13, 7)
(S59)	N = 14; Q(2, 3, 3, 4) < T(2, 3, 8); (2⁷, 1².3⁴, 2.4.8)
		ID: 229, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 9)(8, 13)(10, 12)(11, 14) π_z = (2, 3, 5)(4, 6, 7)(8, 10, 9)(11, 12, 13) π_w = (1, 2, 4, 3)(5, 7, 9, 12, 14, 11, 8, 6)(10, 13)
		ID: 230, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 12)(8, 9)(11, 13) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(12, 13, 14) π_w = (1, 2, 4, 8, 9, 12, 6, 3)(5, 10, 13, 7)(11, 14)
(S58)	N = 14; Q(3, 3, 5, 5) < T(2, 3, 10); (2⁷, 1².3⁴, 2².10)
(S58)		ID: 231, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 8)(9, 13)(10, 11)(12, 14) π_z = (2, 3, 5)(4, 7, 6)(8, 9, 11)(10, 13, 12) π_w = (1, 2, 4, 8, 10, 14, 12, 9, 6, 3)(5, 7)(11, 13)
(S57)	N = 14; Q(3, 3, 12, 12) < T(2, 3, 12); (2⁷, 1².3⁴, 1².12)
		ID: 232, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 11)(8, 10)(9, 13)(12, 14) π_z = (2, 3, 5)(6, 8, 7)(9, 13, 11)(10, 12, 14) π_w = (1, 2, 4, 5, 7, 10, 12, 8, 11, 9, 6, 3)
		ID: 233, Reflexible, Case: 3	π_y = (1, 2)(3, 9)(4, 5)(6, 11)(7, 8)(10, 12)(13, 14) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(12, 13, 14) π_w = (1, 2, 4, 7, 5, 9, 12, 13, 10, 11, 6, 3)
		ID: 234, Chiral, Mirror of 235, Case: 3	π_y = (1, 2)(3, 9)(4, 5)(6, 13)(7, 8)(10, 12)(11, 14) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 14, 13) π_w = (1, 2, 4, 7, 5, 9, 12, 10, 13, 11, 6, 3)
		ID: 235, Chiral, Mirror of 234, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 12)(8, 9)(13, 14) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14) π_w = (1, 2, 4, 8, 13, 9, 12, 7, 5, 10, 6, 3)
(S60)	N = 14; Q(4, 4, 6, 6) < T(2, 4, 6); (2⁷, 1².4³, 1².6²)
		ID: 236, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 9)(8, 11)(10, 13)(12, 14) π_z = (2, 3, 4, 5)(6, 8, 9, 7)(10, 12, 14, 11) π_w = (1, 2, 4, 7, 6, 3)(8, 9, 11, 12, 13, 10)
		ID: 237, Chiral, Mirror of 238, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 9)(8, 11)(10, 12)(13, 14) π_z = (2, 3, 4, 5)(6, 8, 9, 7)(10, 12, 13, 11) π_w = (1, 2, 4, 7, 6, 3)(8, 9, 11, 14, 13, 10)
		ID: 238, Chiral, Mirror of 237, Case: 3	π_y = (1, 2)(3, 6)(4, 5)(7, 8)(9, 10)(11, 14)(12, 13) π_z = (2, 3, 6, 5)(4, 7, 9, 8)(10, 11, 12, 13) π_w = (1, 2, 4, 7, 5, 3)(8, 10, 12, 14, 11, 9)
		ID: 239, Chiral, Mirror of 240, Case: 3	π_y = (1, 2)(3, 12)(4, 5)(6, 11)(7, 8)(9, 10)(13, 14) π_z = (2, 3, 6, 5)(4, 8, 9, 10)(7, 13, 14, 12) π_w = (1, 2, 4, 9, 7, 3)(5, 11, 6, 12, 13, 8)
		ID: 240, Chiral, Mirror of 239, Case: 3	π_y = (1, 2)(3, 12)(4, 5)(6, 11)(7, 13)(8, 14)(9, 10) π_z = (2, 3, 6, 5)(4, 8, 14, 10)(7, 13, 9, 12) π_w = (1, 2, 4, 9, 7, 3)(5, 11, 6, 12, 10, 8)
(S61)	N = 15; Q(2, 2, 2, 7) < T(2, 3, 7); (1³.2⁶, 3⁵, 1.7²)
		ID: 241, Chiral, Mirror of 242, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(10, 14)(11, 12) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 12)(13, 15, 14) π_w = (2, 3, 5, 8, 11, 7, 4)(6, 9, 12, 14, 15, 13, 10)
		ID: 242, Chiral, Mirror of 241, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 10)(11, 13) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 12)(13, 14, 15) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 13, 15, 14, 11, 10)
		ID: 243, Reflexible, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 14)(12, 13) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 15, 14) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 11, 14, 15, 13, 10)
(S65)	N = 15; Q(2, 2, 4, 8) < T(2, 3, 8); (1.2⁷, 3⁵, 1.2.4.8)
		ID: 244, Chiral, Mirror of 245, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(10, 15)(11, 14)(12, 13) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 15, 14) π_w = (2, 3, 5, 8, 12, 11, 7, 4)(6, 9, 14, 10)(13, 15)
		ID: 245, Chiral, Mirror of 244, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 15)(10, 12)(11, 14) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 14, 15) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 14, 10)(11, 15)
(S64)	N = 15; Q(2, 5, 5, 10) < T(2, 3, 10); (1.2⁷, 3⁵, 1.2².10)
(S64)		ID: 246, Reflexible, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 11)(10, 15)(12, 14) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 9)(10, 12, 11)(13, 14, 15) π_w = (2, 3, 5, 8, 11, 14, 13, 10, 7, 4)(6, 9)(12, 15)
(S63)	N = 15; Q(2, 12, 12, 12) < T(2, 3, 12); (1.2⁷, 3⁵, 1³.12)
		ID: 247, Chiral, Mirror of 248, Case: 2	π_y = (1, 3)(2, 5)(6, 7)(8, 14)(9, 10)(11, 15)(12, 13) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 10)(9, 12, 13)(11, 15, 14) π_w = (2, 3, 5, 7, 9, 12, 10, 14, 11, 8, 6, 4)
		ID: 248, Chiral, Mirror of 247, Case: 2	π_y = (1, 3)(2, 5)(4, 8)(7, 12)(9, 11)(10, 14)(13, 15) π_z = (1, 2, 3)(4, 6, 5)(7, 9, 8)(10, 14, 12)(11, 13, 15) π_w = (2, 3, 5, 6, 8, 11, 13, 9, 12, 10, 7, 4)
(S62)	N = 15; Q(2, 4, 4, 4) < T(2, 4, 5); (1.2⁷, 1³.4³, 5³)
(S62)		ID: 249, Reflexible, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 9)(8, 14)(11, 15)(12, 13) π_z = (2, 3, 6, 5)(4, 8, 10, 7)(9, 11, 14, 12) π_w = (1, 2, 4, 7, 3)(5, 9, 13, 12, 8)(6, 10, 14, 15, 11)
(S66)	N = 16; Q(3, 3, 3, 3) < T(2, 3, 8); (2⁸, 1⁴.3⁴, 8²)
		ID: 250, Reflexible, Case: 1	π_y = (1, 2)(3, 7)(4, 5)(6, 10)(8, 9)(11, 12)(13, 16)(14, 15) π_z = (2, 3, 5)(6, 8, 7)(9, 11, 10)(12, 13, 15) π_w = (1, 2, 4, 5, 7, 9, 6, 3)(8, 10, 12, 14, 15, 16, 13, 11)
		ID: 251, Reflexible, Case: 1	π_y = (1, 2)(3, 10)(4, 5)(6, 15)(7, 12)(8, 9)(11, 14)(13, 16) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(12, 13, 15) π_w = (1, 2, 4, 8, 9, 12, 6, 3)(5, 10, 14, 11, 15, 16, 13, 7)
		ID: 252, Reflexible, Case: 1	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 13)(8, 9)(11, 16)(12, 15) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 12) π_w = (1, 2, 4, 8, 15, 12, 6, 3)(5, 10, 16, 11, 14, 9, 13, 7)
(S71)	N = 16; Q(3, 3, 3, 9) < T(2, 3, 9); (2⁸, 1.3⁵, 1.3².9)
(S71)		ID: 253, Reflexible, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 13)(7, 11)(8, 9)(12, 14)(15, 16) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 12)(14, 15, 16) π_w = (1, 2, 4, 8, 14, 15, 12, 6, 3)(5, 10, 7)(9, 11, 13)
(S70)	N = 16; Q(3, 6, 12, 12) < T(2, 3, 12); (2⁸, 1.3⁵, 1².2.12)
		ID: 254, Chiral, Mirror of 256, Case: 2	π_y = (1, 2)(3, 9)(4, 5)(6, 13)(7, 8)(10, 12)(11, 15)(14, 16) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 12, 13)(14, 16, 15) π_w = (1, 2, 4, 7, 5, 9, 12, 15, 14, 11, 6, 3)(10, 13)
		ID: 255, Reflexible, Case: 2	π_y = (1, 2)(3, 7)(4, 5)(6, 8)(9, 15)(10, 11)(12, 16)(13, 14) π_z = (2, 3, 5)(4, 7, 6)(8, 9, 11)(10, 13, 14)(12, 16, 15) π_w = (1, 2, 4, 8, 10, 13, 11, 15, 12, 9, 6, 3)(5, 7)
		ID: 256, Chiral, Mirror of 254, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 13)(8, 9)(12, 14)(15, 16) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 12)(14, 15, 16) π_w = (1, 2, 4, 8, 14, 15, 12, 7, 5, 10, 6, 3)(9, 13)
(S68)	N = 16; Q(3, 13, 13, 13) < T(2, 3, 13); (2⁸, 1.3⁵, 1³.13)
		ID: 257, Chiral, Mirror of 258, Case: 2	π_y = (1, 2)(3, 9)(4, 5)(6, 13)(7, 8)(10, 12)(11, 15)(14, 16) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 15, 13)(12, 14, 16) π_w = (1, 2, 4, 7, 5, 9, 12, 14, 10, 13, 11, 6, 3)
		ID: 258, Chiral, Mirror of 257, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 15)(8, 9)(12, 16)(13, 14) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14)(12, 16, 15) π_w = (1, 2, 4, 8, 13, 9, 15, 12, 7, 5, 10, 6, 3)
(S69)	N = 16; Q(2, 4, 4, 5) < T(2, 4, 5); (2⁸, 1².2.4³, 1.5³)
		ID: 259, Reflexible, Case: 2	π_y = (1, 2)(3, 4)(5, 6)(7, 8)(9, 14)(10, 11)(12, 15)(13, 16) π_z = (2, 3)(4, 5, 7, 6)(8, 9, 12, 11)(10, 13, 16, 14) π_w = (1, 2, 4, 5, 3)(6, 8, 10, 9, 7)(11, 15, 12, 14, 13)
		ID: 260, Chiral, Mirror of 261, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 9)(7, 8)(11, 12)(13, 14)(15, 16) π_z = (2, 3, 6, 5)(4, 8)(7, 12, 16, 10)(9, 11, 13, 14) π_w = (1, 2, 4, 7, 3)(5, 9, 13, 12, 8)(6, 10, 15, 16, 11)
		ID: 261, Chiral, Mirror of 260, Case: 2	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 14)(12, 16)(13, 15) π_z = (2, 3, 6, 5)(4, 8, 13, 9)(7, 11)(10, 12, 16, 15) π_w = (1, 2, 4, 7, 3)(5, 10, 13, 14, 8)(6, 11, 9, 15, 12)
(S67)	N = 16; Q(6, 6, 6, 6) < T(2, 4, 6); (2⁸, 4⁴, 1⁴.6²)
		ID: 262, Reflexible, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 15)(8, 10)(9, 13)(11, 12)(14, 16) π_z = (1, 2, 4, 3)(5, 9, 13, 7)(6, 8, 11, 12)(10, 14, 16, 15) π_w = (2, 3, 6, 11, 10, 5)(4, 7, 9, 15, 14, 8)
		ID: 263, Reflexible, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 15)(8, 14)(9, 13)(10, 16)(11, 12) π_z = (1, 2, 4, 3)(5, 9, 13, 7)(6, 8, 14, 12)(10, 16, 11, 15) π_w = (2, 3, 6, 11, 10, 5)(4, 7, 9, 15, 12, 8)
(S72)	N = 17; Q(2, 3, 3, 8) < T(2, 3, 8); (1.2⁸, 1².3⁵, 1.8²)
		ID: 264, Chiral, Mirror of 266, Case: 4	π_y = (1, 2)(3, 6)(5, 10)(7, 9)(8, 13)(11, 16)(12, 14)(15, 17) π_z = (2, 3, 4)(5, 7, 6)(8, 12, 10)(9, 11, 13)(15, 17, 16) π_w = (1, 2, 4, 6, 9, 8, 5, 3)(7, 10, 14, 12, 13, 16, 15, 11)
		ID: 265, Chiral, Mirror of 267, Case: 4	π_y = (1, 2)(3, 6)(5, 10)(7, 9)(8, 13)(11, 15)(12, 14)(16, 17) π_z = (2, 3, 4)(5, 7, 6)(8, 12, 10)(9, 11, 13)(14, 16, 17) π_w = (1, 2, 4, 6, 9, 8, 5, 3)(7, 10, 14, 16, 12, 13, 15, 11)
		ID: 266, Chiral, Mirror of 264, Case: 4	π_y = (1, 2)(4, 5)(6, 12)(7, 8)(9, 11)(10, 14)(13, 15)(16, 17) π_z = (2, 3, 5)(4, 6, 8)(7, 10, 11)(9, 13, 12)(15, 16, 17) π_w = (1, 2, 4, 7, 9, 6, 5, 3)(8, 12, 15, 16, 13, 11, 14, 10)
		ID: 267, Chiral, Mirror of 265, Case: 4	π_y = (1, 2)(4, 5)(6, 12)(7, 8)(9, 11)(10, 15)(13, 16)(14, 17) π_z = (2, 3, 5)(4, 6, 8)(7, 10, 11)(9, 13, 12)(14, 17, 15) π_w = (1, 2, 4, 7, 9, 6, 5, 3)(8, 12, 16, 13, 11, 15, 14, 10)
		ID: 268, Chiral, Mirror of 269, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 10)(8, 9)(11, 12)(13, 16)(15, 17) π_z = (2, 3, 5)(6, 8, 7)(9, 11, 10)(12, 13, 14)(15, 17, 16) π_w = (1, 2, 4, 5, 7, 9, 6, 3)(8, 10, 12, 14, 16, 15, 13, 11)
		ID: 269, Chiral, Mirror of 268, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 10)(8, 9)(11, 12)(14, 15)(16, 17) π_z = (2, 3, 5)(6, 8, 7)(9, 11, 10)(12, 13, 15)(14, 16, 17) π_w = (1, 2, 4, 5, 7, 9, 6, 3)(8, 10, 12, 14, 16, 15, 13, 11)
		ID: 270, Chiral, Mirror of 272, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 12)(8, 9)(11, 14)(13, 16)(15, 17) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14)(15, 17, 16) π_w = (1, 2, 4, 8, 11, 12, 6, 3)(5, 10, 14, 16, 15, 13, 9, 7)
		ID: 271, Reflexible, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 13)(8, 9)(11, 15)(12, 14)(16, 17) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 12)(15, 16, 17) π_w = (1, 2, 4, 8, 14, 12, 6, 3)(5, 10, 15, 16, 11, 13, 9, 7)
		ID: 272, Chiral, Mirror of 270, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 12)(8, 9)(13, 16)(15, 17) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(12, 13, 14)(15, 17, 16) π_w = (1, 2, 4, 8, 9, 12, 6, 3)(5, 10, 11, 14, 16, 15, 13, 7)
(S73)	N = 17; Q(2, 4, 5, 5) < T(2, 4, 5); (1.2⁸, 1.4⁴, 1².5³)
		ID: 273, Chiral, Mirror of 274, Case: 4	π_y = (1, 2)(3, 7)(5, 6)(8, 14)(9, 10)(11, 13)(12, 16)(15, 17) π_z = (2, 3, 5, 4)(6, 8, 10, 7)(9, 12, 16, 13)(11, 15, 17, 14) π_w = (1, 2, 4, 6, 3)(5, 7, 9, 11, 8)(10, 14, 15, 13, 12)
		ID: 274, Chiral, Mirror of 273, Case: 4	π_y = (1, 2)(4, 5)(6, 8)(7, 12)(9, 11)(10, 15)(13, 17)(14, 16) π_z = (2, 3, 6, 5)(4, 7, 9, 8)(10, 14, 16, 12)(11, 13, 17, 15) π_w = (1, 2, 4, 6, 3)(5, 8, 11, 10, 7)(9, 12, 14, 15, 13)
		ID: 275, Chiral, Mirror of 276, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 9)(8, 15)(11, 12)(13, 14)(16, 17) π_z = (2, 3, 6, 5)(4, 8, 10, 7)(9, 11, 13, 14)(12, 16, 17, 15) π_w = (1, 2, 4, 7, 3)(5, 9, 13, 12, 8)(6, 10, 15, 16, 11)
		ID: 276, Chiral, Mirror of 275, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 9)(8, 15)(11, 16)(12, 17)(13, 14) π_z = (2, 3, 6, 5)(4, 8, 10, 7)(9, 11, 16, 14)(12, 17, 13, 15) π_w = (1, 2, 4, 7, 3)(5, 9, 13, 12, 8)(6, 10, 15, 14, 11)
		ID: 277, Chiral, Mirror of 278, Case: 4	π_y = (1, 2)(3, 8)(4, 5)(6, 10)(7, 9)(11, 12)(13, 14)(15, 17) π_z = (2, 3, 6, 5)(4, 8, 7, 9)(10, 11, 13, 12)(14, 15, 17, 16) π_w = (1, 2, 4, 7, 3)(5, 10, 11, 6, 8)(12, 14, 16, 15, 13)
		ID: 278, Chiral, Mirror of 277, Case: 4	π_y = (1, 2)(3, 8)(4, 5)(6, 10)(7, 9)(11, 12)(13, 14)(16, 17) π_z = (2, 3, 6, 5)(4, 8, 7, 9)(10, 11, 13, 12)(14, 15, 16, 17) π_w = (1, 2, 4, 7, 3)(5, 10, 11, 6, 8)(12, 14, 16, 15, 13)
		ID: 279, Chiral, Mirror of 280, Case: 4	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 14)(12, 17)(13, 15) π_z = (2, 3, 6, 5)(4, 8, 14, 9)(7, 13, 16, 11)(10, 12, 17, 15) π_w = (1, 2, 4, 7, 3)(5, 10, 13, 9, 8)(6, 11, 16, 15, 12)
		ID: 280, Chiral, Mirror of 279, Case: 4	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(12, 14)(13, 17)(15, 16) π_z = (2, 3, 6, 5)(4, 8, 14, 9)(7, 13, 17, 11)(10, 12, 15, 16) π_w = (1, 2, 4, 7, 3)(5, 10, 15, 14, 8)(6, 11, 13, 9, 12)
(S78)	N = 18; Q(2, 2, 8, 8) < T(2, 3, 8); (1².2⁸, 3⁶, 1².8²)
		ID: 281, Reflexible, Case: 3	π_y = (1, 3)(2, 5)(6, 7)(8, 12)(9, 10)(11, 14)(15, 16)(17, 18) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 10)(9, 11, 12)(13, 15, 14)(16, 17, 18) π_w = (2, 3, 5, 7, 9, 8, 6, 4)(10, 12, 14, 16, 17, 15, 13, 11)
		ID: 282, Chiral, Mirror of 283, Case: 3	π_y = (1, 3)(2, 5)(6, 7)(8, 12)(9, 10)(11, 14)(13, 17)(16, 18) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 10)(9, 11, 12)(13, 15, 14)(16, 18, 17) π_w = (2, 3, 5, 7, 9, 8, 6, 4)(10, 12, 14, 15, 17, 16, 13, 11)
		ID: 283, Chiral, Mirror of 282, Case: 3	π_y = (1, 3)(2, 5)(4, 8)(7, 11)(9, 10)(12, 13)(15, 16)(17, 18) π_z = (1, 2, 3)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 14, 16)(15, 17, 18) π_w = (2, 3, 5, 6, 8, 10, 7, 4)(9, 11, 13, 15, 17, 16, 14, 12)
		ID: 284, Reflexible, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(11, 14)(12, 13)(15, 16)(17, 18) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 15, 14)(16, 17, 18) π_w = (2, 3, 5, 8, 12, 11, 7, 4)(6, 9, 14, 16, 17, 15, 13, 10)
		ID: 285, Chiral, Mirror of 286, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(10, 17)(11, 14)(12, 13)(15, 18) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 16, 14)(15, 18, 17) π_w = (2, 3, 5, 8, 12, 11, 7, 4)(6, 9, 14, 16, 13, 17, 15, 10)
		ID: 286, Chiral, Mirror of 285, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 12)(11, 14)(17, 18) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 15, 16)(14, 17, 18) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 14, 17, 11, 16, 15, 10)
		ID: 287, Chiral, Mirror of 288, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 17)(13, 14)(15, 18) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 13, 16)(15, 18, 17) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 11, 16, 14, 17, 15, 10)
		ID: 288, Chiral, Mirror of 287, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(11, 15)(13, 14)(17, 18) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 13, 16)(15, 17, 18) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 17, 11, 16, 14, 10)
(S75)	N = 18; Q(3, 3, 3, 4) < T(2, 3, 8); (2⁹, 1³.3⁵, 2.8²)
(S75)		ID: 289, Reflexible, Case: 2	π_y = (1, 2)(3, 7)(4, 5)(6, 10)(8, 9)(11, 12)(13, 17)(14, 15)(16, 18) π_z = (2, 3, 5)(6, 8, 7)(9, 11, 10)(12, 13, 15)(14, 17, 16) π_w = (1, 2, 4, 5, 7, 9, 6, 3)(8, 10, 12, 14, 18, 16, 13, 11)(15, 17)
(S77)	N = 18; Q(2, 10, 10, 10) < T(2, 3, 10); (2⁹, 3⁶, 1³.5.10)
(S77)		ID: 290, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 8)(6, 7)(9, 10)(11, 17)(12, 13)(14, 18)(15, 16) π_z = (1, 2, 3)(4, 6, 5)(7, 9, 8)(10, 11, 13)(12, 15, 16)(14, 18, 17) π_w = (2, 3, 5, 7, 4)(6, 8, 10, 12, 15, 13, 17, 14, 11, 9)
(S79)	N = 18; Q(6, 6, 12, 12) < T(2, 3, 12); (2⁹, 3⁶, 1².2².12)
(S79)		ID: 291, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 11)(10, 15)(12, 14)(13, 17)(16, 18) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 9)(10, 12, 11)(13, 14, 15)(16, 18, 17) π_w = (2, 3, 5, 8, 11, 14, 17, 16, 13, 10, 7, 4)(6, 9)(12, 15)
(S76)	N = 18; Q(4, 12, 12, 12) < T(2, 3, 12); (2⁹, 3⁶, 1³.3.12)
(S76)		ID: 292, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 15)(10, 11)(12, 16)(13, 14)(17, 18) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 16, 15)(13, 17, 18) π_w = (2, 3, 5, 8, 13, 17, 14, 11, 15, 12, 7, 4)(6, 9, 10)
(S74)	N = 18; Q(14, 14, 14, 14) < T(2, 3, 14); (2⁹, 3⁶, 1⁴.14)
(S74)		ID: 293, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 11)(10, 17)(12, 13)(14, 18)(15, 16) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 15, 16)(14, 18, 17) π_w = (2, 3, 5, 8, 12, 15, 13, 17, 14, 10, 6, 9, 7, 4)
(S80)	N = 19; Q(2, 3, 4, 8) < T(2, 3, 8); (1.2⁹, 1.3⁶, 1.2.8²)
		ID: 294, Chiral, Mirror of 295, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 8)(9, 13)(10, 11)(12, 15)(16, 17)(18, 19) π_z = (2, 3, 5)(4, 7, 6)(8, 9, 11)(10, 12, 13)(14, 16, 15)(17, 18, 19) π_w = (1, 2, 4, 8, 10, 9, 6, 3)(5, 7)(11, 13, 15, 17, 18, 16, 14, 12)
		ID: 295, Chiral, Mirror of 294, Case: 4	π_y = (1, 2)(3, 7)(4, 5)(6, 8)(9, 13)(10, 11)(12, 15)(14, 18)(17, 19) π_z = (2, 3, 5)(4, 7, 6)(8, 9, 11)(10, 12, 13)(14, 16, 15)(17, 19, 18) π_w = (1, 2, 4, 8, 10, 9, 6, 3)(5, 7)(11, 13, 15, 16, 18, 17, 14, 12)
		ID: 296, Chiral, Mirror of 300, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 15)(7, 13)(10, 14)(11, 16)(12, 18)(17, 19) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 14, 15)(12, 16, 13)(17, 19, 18) π_w = (1, 2, 4, 8, 13, 11, 6, 3)(5, 9, 14, 16, 18, 17, 12, 7)(10, 15)
		ID: 297, Chiral, Mirror of 301, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 15)(7, 13)(10, 14)(11, 18)(12, 17)(16, 19) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 17, 15)(12, 18, 13)(14, 16, 19) π_w = (1, 2, 4, 8, 13, 11, 6, 3)(5, 9, 14, 16, 10, 15, 12, 7)(17, 18)
		ID: 298, Chiral, Mirror of 299, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 13)(7, 14)(8, 9)(11, 15)(12, 19)(16, 18) π_z = (2, 3, 5)(4, 7, 9)(6, 8, 10)(11, 15, 13)(12, 16, 14)(17, 18, 19) π_w = (1, 2, 4, 8, 13, 11, 6, 3)(5, 10, 9, 14, 18, 17, 12, 7)(16, 19)
		ID: 299, Chiral, Mirror of 298, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 7)(8, 9)(11, 14)(12, 13)(15, 19)(16, 17) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 12, 13)(14, 15, 17)(16, 19, 18) π_w = (1, 2, 4, 8, 12, 9, 6, 3)(5, 10, 14, 16, 18, 15, 11, 7)(17, 19)
		ID: 300, Chiral, Mirror of 296, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(7, 13)(8, 9)(11, 15)(12, 14)(16, 17)(18, 19) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 12)(14, 16, 15)(17, 18, 19) π_w = (1, 2, 4, 8, 14, 11, 6, 3)(5, 10, 15, 17, 18, 16, 12, 7)(9, 13)
		ID: 301, Chiral, Mirror of 297, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(7, 16)(8, 9)(11, 17)(12, 18)(13, 19)(14, 15) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 15)(12, 18, 16)(14, 19, 17) π_w = (1, 2, 4, 8, 14, 11, 6, 3)(5, 10, 17, 13, 9, 16, 12, 7)(15, 19)
		ID: 302, Chiral, Mirror of 303, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 14)(8, 9)(11, 16)(13, 15)(18, 19) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 13)(12, 15, 17)(16, 18, 19) π_w = (1, 2, 4, 8, 15, 12, 6, 3)(5, 10, 16, 18, 11, 17, 13, 7)(9, 14)
		ID: 303, Chiral, Mirror of 302, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 14)(13, 19) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 17, 18)(13, 19, 16) π_w = (1, 2, 4, 8, 15, 12, 6, 3)(5, 10, 17, 14, 9, 16, 13, 7)(11, 18)
(S83)	N = 20; Q(3, 3, 4, 4) < T(2, 3, 8); (2¹⁰, 1².3⁶, 2².8²)
		ID: 304, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 8)(9, 13)(10, 11)(12, 15)(14, 19)(16, 18)(17, 20) π_z = (2, 3, 5)(4, 7, 6)(8, 9, 11)(10, 12, 13)(14, 16, 15)(17, 18, 19) π_w = (1, 2, 4, 8, 10, 9, 6, 3)(5, 7)(11, 13, 15, 18, 20, 17, 14, 12)(16, 19)
		ID: 305, Chiral, Mirror of 307, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 14)(8, 9)(11, 16)(12, 20)(13, 15)(18, 19) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 13)(12, 18, 17)(15, 19, 20) π_w = (1, 2, 4, 8, 15, 12, 6, 3)(5, 10, 16, 11, 17, 19, 13, 7)(9, 14)(18, 20)
		ID: 306, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 14)(8, 9)(11, 16)(12, 19)(13, 15)(18, 20) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 13)(12, 16, 17)(15, 18, 19) π_w = (1, 2, 4, 8, 15, 12, 6, 3)(5, 10, 16, 19, 20, 18, 13, 7)(9, 14)(11, 17)
		ID: 307, Chiral, Mirror of 305, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 13)(8, 9)(11, 17)(12, 19)(14, 20)(15, 16) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 16)(12, 17, 18)(15, 20, 19) π_w = (1, 2, 4, 8, 15, 12, 6, 3)(5, 10, 17, 19, 14, 9, 13, 7)(11, 18)(16, 20)
(S82)	N = 20; Q(3, 3, 9, 9) < T(2, 3, 9); (2¹⁰, 1².3⁶, 1².9²)
		ID: 308, Reflexible, Case: 3	π_y = (1, 2)(3, 7)(4, 5)(6, 11)(8, 10)(9, 14)(12, 18)(13, 15)(16, 20)(17, 19) π_z = (2, 3, 5)(6, 8, 7)(9, 13, 11)(10, 12, 14)(15, 17, 19)(16, 20, 18) π_w = (1, 2, 4, 5, 7, 10, 9, 6, 3)(8, 11, 15, 17, 13, 14, 18, 16, 12)
		ID: 309, Chiral, Mirror of 311, Case: 3	π_y = (1, 2)(3, 9)(4, 5)(6, 12)(7, 8)(10, 11)(13, 14)(15, 19)(16, 17)(18, 20) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 13, 12)(14, 15, 17)(18, 20, 19) π_w = (1, 2, 4, 7, 5, 9, 11, 6, 3)(10, 12, 14, 16, 17, 19, 18, 15, 13)
		ID: 310, Reflexible, Case: 3	π_y = (1, 2)(3, 9)(4, 5)(6, 12)(7, 8)(10, 11)(13, 14)(15, 18)(16, 17)(19, 20) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 13, 12)(14, 15, 17)(16, 19, 20) π_w = (1, 2, 4, 7, 5, 9, 11, 6, 3)(10, 12, 14, 16, 19, 17, 18, 15, 13)
		ID: 311, Chiral, Mirror of 309, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 13)(8, 9)(12, 15)(14, 17)(16, 18)(19, 20) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 12, 13)(14, 16, 15)(18, 19, 20) π_w = (1, 2, 4, 8, 7, 5, 10, 6, 3)(9, 13, 15, 18, 19, 16, 17, 14, 12)
		ID: 312, Chiral, Mirror of 314, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 16)(7, 13)(8, 9)(11, 15)(12, 17)(14, 19)(18, 20) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 17, 16)(18, 20, 19) π_w = (1, 2, 4, 8, 11, 16, 12, 6, 3)(5, 10, 15, 19, 18, 14, 9, 13, 7)
		ID: 313, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 16)(8, 9)(11, 15)(12, 18)(13, 19)(14, 20) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 18, 17)(13, 19, 16) π_w = (1, 2, 4, 8, 11, 17, 12, 6, 3)(5, 10, 15, 20, 14, 9, 16, 13, 7)
		ID: 314, Chiral, Mirror of 312, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 12)(8, 9)(11, 16)(13, 19)(14, 15)(18, 20) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 13, 17)(18, 20, 19) π_w = (1, 2, 4, 8, 14, 9, 12, 6, 3)(5, 10, 16, 11, 17, 19, 18, 13, 7)
		ID: 315, Chiral, Mirror of 316, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 13)(8, 9)(11, 16)(12, 15)(17, 20)(18, 19) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 12)(15, 18, 19)(16, 17, 20) π_w = (1, 2, 4, 8, 15, 18, 12, 6, 3)(5, 10, 16, 17, 11, 14, 9, 13, 7)
		ID: 316, Chiral, Mirror of 315, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 16)(8, 9)(11, 17)(12, 15)(13, 19)(18, 20) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 12)(13, 19, 16)(15, 18, 20) π_w = (1, 2, 4, 8, 15, 18, 12, 6, 3)(5, 10, 17, 11, 14, 9, 16, 13, 7)
(S81)	N = 20; Q(4, 4, 4, 4) < T(2, 4, 5); (2¹⁰, 1⁴.4⁴, 5⁴)
		ID: 317, Reflexible, Case: 1	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 15)(12, 19)(13, 14)(16, 18)(17, 20) π_z = (2, 3, 6, 5)(4, 8, 13, 9)(7, 12, 15, 11)(14, 17, 19, 16) π_w = (1, 2, 4, 7, 3)(5, 10, 6, 11, 8)(9, 14, 18, 16, 12)(13, 15, 19, 20, 17)
		ID: 318, Reflexible, Case: 1	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 15)(12, 19)(13, 20)(14, 16)(17, 18) π_z = (2, 3, 6, 5)(4, 8, 14, 9)(7, 13, 18, 11)(10, 12, 17, 16) π_w = (1, 2, 4, 7, 3)(5, 10, 14, 15, 8)(6, 11, 17, 19, 12)(9, 16, 18, 20, 13)
		ID: 319, Reflexible, Case: 1	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 15)(12, 13)(14, 16)(17, 18)(19, 20) π_z = (2, 3, 6, 5)(4, 8, 14, 9)(7, 13, 18, 11)(10, 12, 19, 16) π_w = (1, 2, 4, 7, 3)(5, 10, 14, 15, 8)(6, 11, 17, 18, 12)(9, 16, 20, 19, 13)
(S84)	N = 21; Q(2, 3, 3, 3) < T(2, 3, 7); (1.2¹⁰, 1³.3⁶, 7³)
		ID: 320, Chiral, Mirror of 321, Case: 2	π_y = (1, 2)(3, 6)(5, 9)(7, 8)(10, 11)(12, 18)(13, 14)(15, 17)(16, 20)(19, 21) π_z = (2, 3, 4)(5, 7, 6)(8, 10, 9)(11, 12, 14)(13, 16, 17)(15, 19, 18) π_w = (1, 2, 4, 6, 8, 5, 3)(7, 9, 11, 13, 15, 12, 10)(14, 18, 21, 19, 17, 20, 16)
		ID: 321, Chiral, Mirror of 320, Case: 2	π_y = (1, 2)(4, 5)(6, 10)(7, 8)(9, 12)(11, 16)(13, 15)(14, 19)(17, 21)(18, 20) π_z = (2, 3, 5)(4, 6, 8)(7, 9, 10)(11, 13, 12)(14, 18, 16)(15, 17, 19) π_w = (1, 2, 4, 7, 6, 5, 3)(8, 10, 12, 15, 14, 11, 9)(13, 16, 20, 18, 19, 21, 17)
		ID: 322, Chiral, Mirror of 323, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 15)(8, 9)(11, 16)(13, 19)(17, 21)(18, 20) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 12)(13, 18, 15)(16, 17, 20) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 16, 18, 19, 13, 7)(9, 15, 20, 21, 17, 11, 14)
		ID: 323, Chiral, Mirror of 322, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 15)(8, 9)(11, 16)(13, 17)(18, 20)(19, 21) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 12)(13, 18, 15)(16, 17, 19) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 16, 21, 19, 13, 7)(9, 15, 20, 18, 17, 11, 14)
(S85)	N = 21; Q(2, 9, 9, 9) < T(2, 3, 9); (1.2¹⁰, 3⁷, 1³.9²)
		ID: 324, Chiral, Mirror of 325, Case: 2	π_y = (1, 3)(2, 5)(6, 7)(8, 14)(9, 10)(11, 13)(12, 17)(15, 18)(16, 20)(19, 21) π_z = (1, 2, 3)(4, 6, 5)(7, 8, 10)(9, 12, 13)(11, 15, 14)(16, 20, 17)(18, 19, 21) π_w = (2, 3, 5, 7, 9, 11, 8, 6, 4)(10, 14, 18, 19, 15, 13, 17, 16, 12)
		ID: 325, Chiral, Mirror of 324, Case: 2	π_y = (1, 3)(2, 5)(4, 8)(7, 12)(9, 11)(10, 15)(13, 19)(14, 16)(17, 21)(18, 20) π_z = (1, 2, 3)(4, 6, 5)(7, 9, 8)(10, 14, 12)(11, 13, 15)(16, 18, 20)(17, 21, 19) π_w = (2, 3, 5, 6, 8, 11, 10, 7, 4)(9, 12, 16, 18, 14, 15, 19, 17, 13)
(S86)	N = 22; Q(2, 2, 3, 7) < T(2, 3, 7); (1².2¹⁰, 1.3⁷, 1.7³)
		ID: 326, Chiral, Mirror of 328, Case: 4	π_y = (1, 2)(3, 6)(5, 9)(7, 8)(10, 11)(12, 18)(13, 14)(15, 17)(19, 20)(21, 22) π_z = (2, 3, 4)(5, 7, 6)(8, 10, 9)(11, 12, 14)(13, 16, 17)(15, 19, 18)(20, 21, 22) π_w = (1, 2, 4, 6, 8, 5, 3)(7, 9, 11, 13, 15, 12, 10)(14, 18, 20, 21, 19, 17, 16)
		ID: 327, Chiral, Mirror of 329, Case: 4	π_y = (1, 2)(3, 6)(5, 9)(7, 8)(10, 11)(12, 18)(13, 14)(15, 17)(16, 21)(20, 22) π_z = (2, 3, 4)(5, 7, 6)(8, 10, 9)(11, 12, 14)(13, 16, 17)(15, 19, 18)(20, 22, 21) π_w = (1, 2, 4, 6, 8, 5, 3)(7, 9, 11, 13, 15, 12, 10)(14, 18, 19, 17, 21, 20, 16)
		ID: 328, Chiral, Mirror of 326, Case: 4	π_y = (1, 2)(4, 5)(6, 10)(7, 8)(9, 12)(11, 16)(13, 15)(14, 19)(17, 21)(20, 22) π_z = (2, 3, 5)(4, 6, 8)(7, 9, 10)(11, 13, 12)(14, 18, 16)(15, 17, 19)(20, 22, 21) π_w = (1, 2, 4, 7, 6, 5, 3)(8, 10, 12, 15, 14, 11, 9)(13, 16, 18, 19, 21, 20, 17)
		ID: 329, Chiral, Mirror of 327, Case: 4	π_y = (1, 2)(4, 5)(6, 10)(7, 8)(9, 12)(11, 16)(13, 15)(14, 19)(18, 20)(21, 22) π_z = (2, 3, 5)(4, 6, 8)(7, 9, 10)(11, 13, 12)(14, 18, 16)(15, 17, 19)(20, 21, 22) π_w = (1, 2, 4, 7, 6, 5, 3)(8, 10, 12, 15, 14, 11, 9)(13, 16, 20, 21, 18, 19, 17)
		ID: 330, Chiral, Mirror of 332, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 14)(7, 11)(10, 13)(12, 18)(15, 16)(19, 20)(21, 22) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 12, 14)(13, 15, 17)(16, 19, 18)(20, 21, 22) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 9, 13, 17, 16, 12, 7)(10, 14, 18, 20, 21, 19, 15)
		ID: 331, Chiral, Mirror of 333, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 14)(7, 11)(10, 13)(12, 19)(15, 21)(17, 18)(20, 22) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 12, 14)(13, 15, 18)(16, 17, 19)(20, 22, 21) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 9, 13, 17, 16, 12, 7)(10, 14, 19, 18, 21, 20, 15)
		ID: 332, Chiral, Mirror of 330, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(7, 15)(8, 9)(11, 14)(13, 18)(16, 19)(17, 21)(20, 22) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14)(12, 16, 15)(17, 19, 18)(20, 22, 21) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 14, 18, 16, 12, 7)(9, 15, 19, 21, 20, 17, 13)
		ID: 333, Chiral, Mirror of 331, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(7, 15)(8, 9)(11, 14)(12, 18)(13, 19)(16, 20)(21, 22) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14)(12, 16, 15)(17, 19, 18)(20, 21, 22) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 14, 19, 17, 12, 7)(9, 15, 20, 21, 16, 18, 13)
		ID: 334, Chiral, Mirror of 335, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 16)(8, 9)(11, 15)(12, 14)(13, 17)(18, 20)(21, 22) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14)(12, 18, 16)(15, 17, 19)(20, 21, 22) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 15, 19, 13, 9, 7)(11, 16, 20, 21, 18, 14, 17)
		ID: 335, Chiral, Mirror of 334, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 16)(8, 9)(12, 15)(14, 21)(18, 19)(20, 22) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 18, 17)(13, 19, 16)(20, 22, 21) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 11, 17, 19, 13, 7)(9, 16, 18, 15, 21, 20, 14)
		ID: 336, Chiral, Mirror of 337, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 16)(8, 9)(11, 14)(12, 15)(13, 19)(18, 20) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 18, 17)(13, 19, 16)(20, 21, 22) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 14, 9, 16, 13, 7)(11, 17, 20, 22, 21, 18, 15)
		ID: 337, Chiral, Mirror of 336, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 13)(7, 16)(8, 9)(11, 17)(12, 15)(14, 20)(18, 21) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 16, 13)(17, 18, 21)(19, 22, 20) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 18, 11, 13, 7)(9, 16, 15, 20, 22, 19, 14)
		ID: 338, Reflexible, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 21)(20, 22) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 18)(13, 17, 16)(20, 22, 21) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 21, 20, 13, 7)(9, 16, 11, 18, 19, 15, 14)
(S87)	N = 22; Q(4, 4, 5, 5) < T(2, 4, 5); (2¹¹, 1².4⁵, 1².5⁴)
		ID: 339, Reflexible, Case: 3	π_y = (1, 2)(3, 8)(4, 5)(6, 10)(7, 9)(11, 12)(13, 14)(15, 20)(16, 17)(18, 21)(19, 22) π_z = (2, 3, 6, 5)(4, 8, 7, 9)(10, 11, 13, 12)(14, 15, 18, 17)(16, 19, 22, 20) π_w = (1, 2, 4, 7, 3)(5, 10, 11, 6, 8)(12, 14, 16, 15, 13)(17, 21, 18, 20, 19)
		ID: 340, Chiral, Mirror of 341, Case: 3	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 15)(12, 20)(13, 14)(16, 17)(18, 19)(21, 22) π_z = (2, 3, 6, 5)(4, 8, 13, 9)(7, 12, 15, 11)(14, 17, 18, 19)(16, 21, 22, 20) π_w = (1, 2, 4, 7, 3)(5, 10, 6, 11, 8)(9, 14, 18, 16, 12)(13, 15, 20, 21, 17)
		ID: 341, Chiral, Mirror of 340, Case: 3	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 15)(12, 20)(13, 14)(16, 21)(17, 22)(18, 19) π_z = (2, 3, 6, 5)(4, 8, 13, 9)(7, 12, 15, 11)(14, 17, 22, 19)(16, 21, 18, 20) π_w = (1, 2, 4, 7, 3)(5, 10, 6, 11, 8)(9, 14, 18, 16, 12)(13, 15, 20, 19, 17)
		ID: 342, Chiral, Mirror of 343, Case: 3	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 14)(12, 21)(13, 15)(16, 17)(18, 20)(19, 22) π_z = (2, 3, 6, 5)(4, 8, 14, 9)(7, 13, 17, 11)(10, 12, 18, 15)(16, 21, 19, 22) π_w = (1, 2, 4, 7, 3)(5, 10, 13, 9, 8)(6, 11, 16, 19, 12)(15, 20, 18, 21, 17)
		ID: 343, Chiral, Mirror of 342, Case: 3	π_y = (1, 2)(3, 11)(4, 5)(6, 10)(7, 9)(8, 20)(12, 14)(13, 18)(15, 21)(16, 17)(19, 22) π_z = (2, 3, 6, 5)(4, 8, 14, 9)(7, 13, 18, 11)(10, 12, 19, 17)(15, 21, 16, 20) π_w = (1, 2, 4, 7, 3)(5, 10, 16, 15, 8)(6, 11, 13, 9, 12)(14, 20, 17, 22, 19)
(A)	N = 24; T(7, 7, 7) < T(2, 3, 7); (2¹², 3⁸, 1³.7³)
(A)		ID: 344, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 17)(11, 14)(12, 13)(15, 19)(18, 21)(20, 23)(22, 24) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 15)(19, 20, 23)(21, 22, 24) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 19, 20, 15, 10)(11, 16, 21, 22, 18, 13, 17)
(S90)	N = 24; Q(2, 4, 8, 8) < T(2, 3, 8); (2¹², 3⁸, 1².2.4.8²)
(S90)		ID: 345, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 21)(11, 15)(12, 20)(13, 14)(17, 23)(18, 19)(22, 24) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 18, 16)(13, 19, 20)(15, 17, 21)(22, 24, 23) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 10)(11, 16, 19, 14, 21, 23, 22, 17)(18, 20)
(S91)	N = 24; Q(4, 4, 4, 4) < T(2, 3, 8); (2¹², 3⁸, 2⁴.8²)
(S91)		ID: 346, Reflexible, Case: 1	π_y = (1, 5)(2, 8)(3, 4)(6, 16)(7, 9)(10, 13)(11, 19)(12, 20)(14, 15)(17, 24)(18, 21)(22, 23) π_z = (1, 2, 4)(3, 7, 5)(6, 10, 8)(9, 12, 15)(11, 13, 16)(14, 20, 18)(17, 22, 19)(21, 23, 24) π_w = (1, 3)(2, 5, 9, 14, 21, 17, 11, 6)(4, 8, 13, 19, 23, 18, 12, 7)(10, 16)(15, 20)(22, 24)
(S89)	N = 24; Q(10, 10, 10, 10) < T(2, 3, 10); (2¹², 3⁸, 1⁴.10²)
		ID: 347, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 11)(10, 15)(12, 13)(14, 17)(16, 21)(18, 20)(19, 23)(22, 24) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 14, 15)(16, 18, 17)(19, 23, 21)(20, 22, 24) π_w = (2, 3, 5, 8, 12, 10, 6, 9, 7, 4)(13, 15, 17, 20, 22, 18, 21, 19, 16, 14)
		ID: 348, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 20)(11, 15)(12, 18)(13, 14)(16, 22)(19, 21)(23, 24) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 18, 17)(13, 19, 15)(16, 22, 20)(21, 23, 24) π_w = (2, 3, 5, 8, 13, 11, 17, 12, 7, 4)(6, 9, 15, 21, 23, 19, 14, 20, 16, 10)
		ID: 349, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 21)(11, 15)(12, 20)(13, 14)(16, 23)(18, 22)(19, 24) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 13, 17)(15, 18, 22)(16, 23, 21)(19, 24, 20) π_w = (2, 3, 5, 8, 13, 20, 19, 12, 7, 4)(6, 9, 15, 18, 11, 17, 14, 21, 16, 10)
(S88)	N = 24; Q(5, 5, 5, 5) < T(2, 4, 5); (2¹², 4⁶, 1⁴.5⁴)
		ID: 350, Reflexible, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 14)(8, 17)(9, 12)(10, 11)(13, 16)(15, 22)(18, 19)(20, 21)(23, 24) π_z = (1, 2, 4, 3)(5, 9, 12, 7)(6, 8, 13, 11)(10, 15, 17, 14)(16, 18, 20, 21)(19, 23, 24, 22) π_w = (2, 3, 6, 10, 5)(4, 7, 9, 14, 8)(11, 16, 20, 19, 15)(13, 17, 22, 23, 18)
		ID: 351, Chiral, Mirror of 353, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 14)(8, 17)(9, 12)(10, 11)(13, 16)(15, 22)(18, 23)(19, 24)(20, 21) π_z = (1, 2, 4, 3)(5, 9, 12, 7)(6, 8, 13, 11)(10, 15, 17, 14)(16, 18, 23, 21)(19, 24, 20, 22) π_w = (2, 3, 6, 10, 5)(4, 7, 9, 14, 8)(11, 16, 20, 19, 15)(13, 17, 22, 21, 18)
		ID: 352, Reflexible, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 9)(8, 14)(10, 11)(12, 13)(15, 21)(16, 17)(18, 20)(19, 23)(22, 24) π_z = (1, 2, 4, 3)(5, 9, 10, 7)(6, 8, 12, 11)(13, 15, 17, 14)(16, 19, 23, 20)(18, 22, 24, 21) π_w = (2, 3, 6, 10, 5)(4, 7, 11, 13, 8)(12, 14, 16, 18, 15)(17, 21, 22, 20, 19)
		ID: 353, Chiral, Mirror of 351, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 15)(8, 14)(9, 18)(10, 11)(12, 13)(16, 22)(17, 19)(20, 23)(21, 24) π_z = (1, 2, 4, 3)(5, 9, 13, 7)(6, 8, 14, 11)(10, 12, 17, 15)(16, 20, 23, 18)(19, 22, 21, 24) π_w = (2, 3, 6, 10, 5)(4, 7, 12, 11, 8)(9, 15, 19, 21, 16)(13, 18, 20, 22, 17)
		ID: 354, Reflexible, Case: 1	π_y = (1, 3)(2, 7)(4, 6)(5, 16)(8, 19)(9, 21)(10, 11)(12, 13)(14, 17)(15, 20)(18, 23)(22, 24) π_z = (1, 2, 4, 3)(5, 9, 13, 7)(6, 8, 14, 11)(10, 18, 23, 16)(12, 19, 15, 20)(17, 22, 24, 21) π_w = (2, 3, 6, 10, 5)(4, 7, 12, 15, 8)(9, 16, 18, 11, 17)(13, 21, 22, 14, 19)
(S92)	N = 26; Q(3, 3, 8, 8) < T(2, 3, 8); (2¹³, 1².3⁸, 1².8³)
		ID: 355, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 13)(7, 14)(8, 9)(11, 15)(12, 19)(16, 18)(17, 22)(20, 25)(21, 23)(24, 26) π_z = (2, 3, 5)(4, 7, 9)(6, 8, 10)(11, 15, 13)(12, 16, 14)(17, 21, 19)(18, 20, 22)(24, 26, 25) π_w = (1, 2, 4, 8, 13, 11, 6, 3)(5, 10, 9, 14, 18, 17, 12, 7)(16, 19, 23, 21, 22, 25, 24, 20)
		ID: 356, Chiral, Mirror of 357, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 13)(7, 14)(8, 9)(11, 15)(12, 19)(16, 18)(17, 22)(20, 24)(21, 23)(25, 26) π_z = (2, 3, 5)(4, 7, 9)(6, 8, 10)(11, 15, 13)(12, 16, 14)(17, 21, 19)(18, 20, 22)(23, 25, 26) π_w = (1, 2, 4, 8, 13, 11, 6, 3)(5, 10, 9, 14, 18, 17, 12, 7)(16, 19, 23, 25, 21, 22, 24, 20)
		ID: 357, Chiral, Mirror of 356, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 7)(8, 9)(11, 14)(12, 13)(15, 21)(16, 17)(18, 20)(19, 24)(22, 25)(23, 26) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 12, 13)(14, 15, 17)(16, 19, 20)(18, 22, 21)(23, 26, 24) π_w = (1, 2, 4, 8, 12, 9, 6, 3)(5, 10, 14, 16, 18, 15, 11, 7)(17, 21, 25, 22, 20, 24, 23, 19)
		ID: 358, Chiral, Mirror of 359, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 16)(8, 9)(11, 17)(12, 15)(13, 23)(18, 25)(19, 21)(20, 24)(22, 26) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 12)(13, 19, 16)(17, 18, 21)(20, 24, 23)(22, 26, 25) π_w = (1, 2, 4, 8, 15, 12, 6, 3)(5, 10, 17, 19, 23, 20, 13, 7)(9, 16, 21, 25, 22, 18, 11, 14)
		ID: 359, Chiral, Mirror of 358, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 16)(8, 9)(11, 17)(12, 15)(13, 18)(19, 21)(20, 22)(23, 25)(24, 26) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 12)(13, 19, 16)(17, 18, 20)(21, 23, 25)(22, 24, 26) π_w = (1, 2, 4, 8, 15, 12, 6, 3)(5, 10, 17, 22, 24, 20, 13, 7)(9, 16, 21, 23, 19, 18, 11, 14)
(S93)	N = 27; Q(2, 8, 8, 8) < T(2, 3, 8); (1.2¹³, 3⁹, 1³.8³)
		ID: 360, Chiral, Mirror of 361, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 19)(11, 15)(13, 14)(16, 24)(18, 25)(20, 21)(22, 26)(23, 27) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 13, 17)(15, 18, 21)(16, 20, 19)(22, 26, 24)(23, 27, 25) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 20, 24, 22, 16, 10)(11, 17, 14, 19, 21, 25, 23, 18)
		ID: 361, Chiral, Mirror of 360, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 19)(11, 15)(13, 14)(16, 18)(20, 21)(22, 23)(24, 25)(26, 27) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 13, 17)(15, 18, 21)(16, 22, 19)(20, 24, 25)(23, 26, 27) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 20, 24, 21, 16, 10)(11, 17, 14, 19, 23, 26, 22, 18)
(S94)	N = 28; Q(3, 3, 3, 3) < T(2, 3, 7); (2¹⁴, 1⁴.3⁸, 7⁴)
		ID: 362, Reflexible, Case: 1	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 13)(8, 9)(12, 16)(14, 15)(17, 18)(19, 25)(20, 21)(22, 24)(23, 27)(26, 28) π_z = (2, 3, 5)(4, 7, 9)(6, 8, 10)(12, 14, 13)(15, 17, 16)(18, 19, 21)(20, 23, 24)(22, 26, 25) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 9, 13, 15, 12, 7)(14, 16, 18, 20, 22, 19, 17)(21, 25, 28, 26, 24, 27, 23)
		ID: 363, Reflexible, Case: 1	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 13)(8, 9)(11, 16)(12, 15)(14, 20)(18, 24)(19, 21)(22, 27)(23, 28)(25, 26) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 17)(16, 18, 20)(21, 23, 26)(22, 25, 24) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 16, 14, 9, 13, 7)(11, 17, 21, 25, 27, 22, 18)(15, 20, 24, 26, 28, 23, 19)
		ID: 364, Chiral, Mirror of 365, Case: 1	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 13)(8, 9)(11, 16)(12, 15)(14, 20)(18, 24)(19, 21)(22, 23)(25, 26)(27, 28) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 17)(16, 18, 20)(21, 23, 26)(22, 27, 24) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 16, 14, 9, 13, 7)(11, 17, 21, 25, 26, 22, 18)(15, 20, 24, 28, 27, 23, 19)
		ID: 365, Chiral, Mirror of 364, Case: 1	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 19)(14, 22)(20, 23)(21, 26)(24, 28)(25, 27) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 18)(13, 20, 16)(21, 25, 22)(23, 24, 27) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 11, 18, 13, 7)(9, 16, 23, 25, 26, 21, 14)(15, 22, 27, 28, 24, 20, 19)
		ID: 366, Reflexible, Case: 1	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 19)(14, 23)(20, 26)(21, 24)(22, 25)(27, 28) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 22)(24, 27, 26) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 25, 22, 13, 7)(9, 16, 24, 20, 15, 23, 14)(11, 18, 26, 28, 27, 21, 19)
(S95)	N = 28; Q(3, 4, 8, 8) < T(2, 3, 8); (2¹⁴, 1.3⁹, 1².2.8³)
		ID: 367, Chiral, Mirror of 368, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 19)(7, 17)(8, 9)(11, 18)(12, 24)(13, 22)(14, 25)(15, 16)(20, 27)(21, 23)(26, 28) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 16)(12, 21, 19)(13, 22, 17)(15, 23, 24)(18, 20, 25)(26, 28, 27) π_w = (1, 2, 4, 8, 15, 12, 6, 3)(5, 10, 18, 14, 9, 17, 13, 7)(11, 19, 23, 16, 25, 27, 26, 20)(21, 24)
		ID: 368, Chiral, Mirror of 367, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 19)(7, 17)(8, 9)(11, 18)(12, 23)(13, 21)(14, 24)(15, 16)(20, 26)(22, 25)(27, 28) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 16)(12, 21, 19)(13, 22, 17)(15, 24, 23)(18, 20, 26)(25, 27, 28) π_w = (1, 2, 4, 8, 15, 12, 6, 3)(5, 10, 18, 20, 11, 19, 13, 7)(9, 17, 25, 27, 22, 21, 23, 14)(16, 24)
(S96)	N = 29; Q(2, 3, 3, 7) < T(2, 3, 7); (1.2¹⁴, 1².3⁹, 1.7⁴)
		ID: 369, Chiral, Mirror of 372, Case: 4	π_y = (1, 2)(3, 6)(5, 9)(7, 8)(10, 11)(12, 18)(13, 14)(15, 17)(16, 21)(19, 22)(20, 25)(23, 28)(24, 26)(27, 29) π_z = (2, 3, 4)(5, 7, 6)(8, 10, 9)(11, 12, 14)(13, 16, 17)(15, 19, 18)(20, 24, 21)(22, 23, 26)(27, 29, 28) π_w = (1, 2, 4, 6, 8, 5, 3)(7, 9, 11, 13, 15, 12, 10)(14, 18, 22, 24, 25, 20, 16)(17, 21, 26, 28, 27, 23, 19)
		ID: 370, Chiral, Mirror of 371, Case: 4	π_y = (1, 2)(3, 6)(5, 9)(7, 8)(10, 11)(12, 18)(13, 14)(15, 17)(16, 21)(19, 22)(20, 23)(24, 26)(25, 27)(28, 29) π_z = (2, 3, 4)(5, 7, 6)(8, 10, 9)(11, 12, 14)(13, 16, 17)(15, 19, 18)(20, 24, 21)(22, 23, 25)(26, 28, 29) π_w = (1, 2, 4, 6, 8, 5, 3)(7, 9, 11, 13, 15, 12, 10)(14, 18, 22, 27, 25, 20, 16)(17, 21, 26, 28, 24, 23, 19)
		ID: 371, Chiral, Mirror of 370, Case: 4	π_y = (1, 2)(4, 5)(6, 10)(7, 8)(9, 12)(11, 16)(13, 15)(14, 19)(17, 23)(18, 20)(21, 26)(22, 28)(24, 25)(27, 29) π_z = (2, 3, 5)(4, 6, 8)(7, 9, 10)(11, 13, 12)(14, 18, 16)(15, 17, 19)(20, 22, 25)(21, 24, 23)(27, 29, 28) π_w = (1, 2, 4, 7, 6, 5, 3)(8, 10, 12, 15, 14, 11, 9)(13, 16, 20, 24, 26, 21, 17)(18, 19, 23, 25, 28, 27, 22)
		ID: 372, Chiral, Mirror of 369, Case: 4	π_y = (1, 2)(4, 5)(6, 10)(7, 8)(9, 12)(11, 16)(13, 15)(14, 19)(17, 23)(18, 20)(21, 22)(24, 25)(26, 27)(28, 29) π_z = (2, 3, 5)(4, 6, 8)(7, 9, 10)(11, 13, 12)(14, 18, 16)(15, 17, 19)(20, 22, 25)(21, 26, 23)(27, 28, 29) π_w = (1, 2, 4, 7, 6, 5, 3)(8, 10, 12, 15, 14, 11, 9)(13, 16, 20, 24, 25, 21, 17)(18, 19, 23, 27, 28, 26, 22)
		ID: 373, Chiral, Mirror of 376, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 14)(7, 11)(10, 13)(12, 19)(15, 24)(16, 23)(17, 18)(20, 26)(21, 25)(22, 28)(27, 29) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 12, 14)(13, 15, 18)(16, 21, 19)(17, 22, 23)(20, 25, 24)(27, 29, 28) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 9, 13, 17, 16, 12, 7)(10, 14, 19, 25, 26, 20, 15)(18, 24, 21, 23, 28, 27, 22)
		ID: 374, Chiral, Mirror of 375, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 13)(8, 9)(12, 16)(14, 15)(17, 18)(19, 25)(20, 21)(22, 24)(26, 27)(28, 29) π_z = (2, 3, 5)(4, 7, 9)(6, 8, 10)(12, 14, 13)(15, 17, 16)(18, 19, 21)(20, 23, 24)(22, 26, 25)(27, 28, 29) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 9, 13, 15, 12, 7)(14, 16, 18, 20, 22, 19, 17)(21, 25, 27, 28, 26, 24, 23)
		ID: 375, Chiral, Mirror of 374, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 13)(8, 9)(12, 16)(14, 15)(17, 18)(19, 25)(20, 21)(22, 24)(23, 28)(27, 29) π_z = (2, 3, 5)(4, 7, 9)(6, 8, 10)(12, 14, 13)(15, 17, 16)(18, 19, 21)(20, 23, 24)(22, 26, 25)(27, 29, 28) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 9, 13, 15, 12, 7)(14, 16, 18, 20, 22, 19, 17)(21, 25, 26, 24, 28, 27, 23)
		ID: 376, Chiral, Mirror of 373, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(7, 15)(8, 9)(11, 14)(12, 21)(13, 19)(16, 20)(17, 24)(18, 22)(23, 27)(25, 26)(28, 29) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14)(12, 16, 15)(17, 23, 21)(18, 24, 19)(20, 22, 25)(27, 28, 29) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 14, 19, 17, 12, 7)(9, 15, 20, 26, 25, 18, 13)(16, 21, 27, 28, 23, 24, 22)
		ID: 377, Chiral, Mirror of 380, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 16)(8, 9)(11, 15)(12, 14)(13, 20)(17, 23)(18, 22)(19, 21)(24, 28)(25, 26)(27, 29) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14)(12, 18, 16)(15, 17, 21)(19, 25, 20)(22, 24, 26)(27, 29, 28) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 15, 19, 13, 9, 7)(11, 16, 22, 25, 21, 23, 17)(14, 20, 26, 28, 27, 24, 18)
		ID: 378, Chiral, Mirror of 379, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 16)(8, 9)(11, 15)(12, 14)(13, 20)(17, 24)(18, 22)(19, 21)(23, 27)(25, 26)(28, 29) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14)(12, 18, 16)(15, 17, 21)(19, 25, 20)(22, 24, 23)(27, 28, 29) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 15, 19, 13, 9, 7)(11, 16, 22, 27, 28, 23, 17)(14, 20, 26, 25, 21, 24, 18)
		ID: 379, Chiral, Mirror of 378, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 16)(8, 9)(12, 15)(13, 25)(14, 22)(18, 20)(19, 23)(21, 27)(24, 28)(26, 29) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 18, 17)(13, 19, 16)(20, 24, 25)(21, 23, 22)(26, 29, 27) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 11, 17, 20, 13, 7)(9, 16, 23, 27, 26, 21, 14)(15, 22, 19, 25, 28, 24, 18)
		ID: 380, Chiral, Mirror of 377, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 16)(8, 9)(12, 15)(13, 25)(14, 22)(18, 20)(19, 23)(21, 24)(26, 27)(28, 29) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 18, 17)(13, 19, 16)(20, 24, 25)(21, 26, 22)(27, 28, 29) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 11, 17, 20, 13, 7)(9, 16, 23, 19, 25, 21, 14)(15, 22, 27, 28, 26, 24, 18)
		ID: 381, Chiral, Mirror of 382, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(14, 22)(19, 28)(20, 26)(21, 23)(24, 25)(27, 29) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 25)(23, 24, 26)(27, 29, 28) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 24, 21, 13, 7)(9, 16, 23, 20, 15, 22, 14)(11, 18, 26, 25, 28, 27, 19)
		ID: 382, Chiral, Mirror of 381, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 19)(14, 24)(21, 25)(22, 26)(23, 28)(27, 29) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 22)(23, 25, 24)(27, 29, 28) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 26, 22, 13, 7)(9, 16, 25, 28, 27, 23, 14)(11, 18, 20, 15, 24, 21, 19)
(S97)	N = 30; Q(2, 2, 7, 7) < T(2, 3, 7); (1².2¹⁴, 3¹⁰, 1².7⁴)
		ID: 383, Reflexible, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(10, 14)(11, 12)(13, 17)(15, 16)(18, 19)(20, 26)(21, 22)(23, 25)(27, 28)(29, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 12)(13, 15, 14)(16, 18, 17)(19, 20, 22)(21, 24, 25)(23, 27, 26)(28, 29, 30) π_w = (2, 3, 5, 8, 11, 7, 4)(6, 9, 12, 14, 16, 13, 10)(15, 17, 19, 21, 23, 20, 18)(22, 26, 28, 29, 27, 25, 24)
		ID: 384, Chiral, Mirror of 385, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(10, 14)(11, 12)(13, 17)(15, 16)(18, 19)(20, 26)(21, 22)(23, 25)(24, 29)(28, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 12)(13, 15, 14)(16, 18, 17)(19, 20, 22)(21, 24, 25)(23, 27, 26)(28, 30, 29) π_w = (2, 3, 5, 8, 11, 7, 4)(6, 9, 12, 14, 16, 13, 10)(15, 17, 19, 21, 23, 20, 18)(22, 26, 27, 25, 29, 28, 24)
		ID: 385, Chiral, Mirror of 384, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 10)(11, 13)(14, 18)(15, 16)(17, 20)(19, 24)(21, 23)(22, 27)(26, 28)(29, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 12)(13, 14, 16)(15, 17, 18)(19, 21, 20)(22, 26, 24)(23, 25, 27)(28, 29, 30) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 13, 15, 14, 11, 10)(16, 18, 20, 23, 22, 19, 17)(21, 24, 28, 29, 26, 27, 25)
		ID: 386, Reflexible, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 15)(10, 17)(12, 13)(14, 22)(16, 19)(18, 21)(20, 26)(23, 24)(27, 28)(29, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 16, 15)(14, 18, 17)(19, 20, 22)(21, 23, 25)(24, 27, 26)(28, 29, 30) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 11, 15, 19, 14, 10)(13, 17, 21, 25, 24, 20, 16)(18, 22, 26, 28, 29, 27, 23)
		ID: 387, Chiral, Mirror of 388, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 15)(10, 17)(12, 13)(14, 22)(16, 19)(18, 21)(20, 27)(23, 29)(25, 26)(28, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 16, 15)(14, 18, 17)(19, 20, 22)(21, 23, 26)(24, 25, 27)(28, 30, 29) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 11, 15, 19, 14, 10)(13, 17, 21, 25, 24, 20, 16)(18, 22, 27, 26, 29, 28, 23)
		ID: 388, Chiral, Mirror of 387, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 15)(11, 14)(12, 13)(16, 23)(17, 20)(18, 19)(21, 27)(22, 24)(25, 28)(29, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 17, 15)(14, 16, 19)(18, 22, 20)(21, 25, 23)(24, 27, 26)(28, 29, 30) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 18, 17, 13, 10)(11, 15, 20, 24, 26, 21, 16)(19, 23, 28, 29, 25, 27, 22)
		ID: 389, Chiral, Mirror of 390, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 27)(17, 22)(18, 23)(21, 26)(25, 29)(28, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 20)(15, 21, 19)(22, 24, 27)(23, 25, 26)(28, 30, 29) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 22, 15, 10)(11, 16, 23, 21, 27, 24, 17)(13, 19, 26, 29, 28, 25, 18)
		ID: 390, Chiral, Mirror of 389, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(17, 25)(18, 23)(20, 21)(22, 26)(24, 28)(29, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 27, 26)(23, 25, 24)(28, 29, 30) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 22, 15, 10)(11, 16, 23, 28, 29, 24, 17)(13, 19, 26, 27, 21, 25, 18)
		ID: 391, Reflexible, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 25)(17, 26)(20, 21)(22, 24)(27, 28)(29, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 25, 23)(24, 27, 26)(28, 29, 30) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 23, 15, 10)(11, 16, 18, 13, 19, 24, 17)(21, 26, 28, 29, 27, 22, 25)
		ID: 392, Chiral, Mirror of 394, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 27)(18, 24)(20, 21)(22, 26)(25, 29)(28, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 27, 23)(24, 25, 26)(28, 30, 29) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 23, 15, 10)(11, 16, 24, 22, 27, 21, 17)(13, 19, 26, 29, 28, 25, 18)
		ID: 393, Reflexible, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 25)(18, 24)(20, 21)(22, 26)(23, 28)(29, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 27, 28)(23, 24, 25)(26, 29, 30) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 23, 15, 10)(11, 16, 24, 28, 27, 21, 17)(13, 19, 26, 29, 22, 25, 18)
		ID: 394, Chiral, Mirror of 392, Case: 3	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 27)(17, 26)(18, 24)(20, 21)(25, 28)(29, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 27, 23)(24, 26, 25)(28, 29, 30) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 23, 15, 10)(11, 16, 24, 28, 29, 25, 17)(13, 19, 22, 27, 21, 26, 18)
(S98)	N = 30; Q(4, 4, 8, 8) < T(2, 3, 8); (2¹⁵, 3¹⁰, 1².2².8³)
		ID: 395, Chiral, Mirror of 397, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 20)(11, 15)(12, 19)(13, 14)(16, 26)(18, 24)(21, 25)(22, 27)(23, 29)(28, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 15, 17)(13, 18, 19)(16, 21, 20)(22, 25, 26)(23, 27, 24)(28, 30, 29) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 19, 24, 22, 16, 10)(11, 17)(14, 20, 25, 27, 29, 28, 23, 18)(21, 26)
		ID: 396, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 20)(11, 15)(12, 19)(13, 14)(16, 26)(18, 24)(21, 25)(22, 29)(23, 28)(27, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 15, 17)(13, 18, 19)(16, 21, 20)(22, 28, 26)(23, 29, 24)(25, 27, 30) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 19, 24, 22, 16, 10)(11, 17)(14, 20, 25, 27, 21, 26, 23, 18)(28, 29)
		ID: 397, Chiral, Mirror of 395, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 20)(11, 15)(12, 16)(13, 14)(18, 26)(19, 23)(21, 22)(24, 25)(27, 28)(29, 30) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 19, 17)(13, 20, 16)(15, 18, 22)(21, 26, 24)(23, 25, 28)(27, 29, 30) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 21, 25, 19, 16, 10)(11, 17, 23, 27, 29, 28, 24, 18)(14, 20)(22, 26)
(S100)	N = 36; Q(3, 3, 3, 7) < T(2, 3, 7); (2¹⁸, 1³.3¹¹, 1.7⁵)
		ID: 398, Chiral, Mirror of 399, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 13)(8, 9)(12, 16)(14, 15)(17, 18)(19, 25)(20, 21)(22, 24)(23, 28)(26, 29)(27, 32)(30, 35)(31, 33)(34, 36) π_z = (2, 3, 5)(4, 7, 9)(6, 8, 10)(12, 14, 13)(15, 17, 16)(18, 19, 21)(20, 23, 24)(22, 26, 25)(27, 31, 28)(29, 30, 33)(34, 36, 35) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 9, 13, 15, 12, 7)(14, 16, 18, 20, 22, 19, 17)(21, 25, 29, 31, 32, 27, 23)(24, 28, 33, 35, 34, 30, 26)
		ID: 399, Chiral, Mirror of 398, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 11)(7, 13)(8, 9)(12, 16)(14, 15)(17, 18)(19, 25)(20, 21)(22, 24)(23, 28)(26, 29)(27, 30)(31, 33)(32, 34)(35, 36) π_z = (2, 3, 5)(4, 7, 9)(6, 8, 10)(12, 14, 13)(15, 17, 16)(18, 19, 21)(20, 23, 24)(22, 26, 25)(27, 31, 28)(29, 30, 32)(33, 35, 36) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 9, 13, 15, 12, 7)(14, 16, 18, 20, 22, 19, 17)(21, 25, 29, 34, 32, 27, 23)(24, 28, 33, 35, 31, 30, 26)
		ID: 400, Chiral, Mirror of 401, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 29)(14, 23)(19, 28)(20, 27)(21, 24)(22, 33)(25, 26)(30, 32)(31, 34)(35, 36) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 26)(22, 31, 29)(24, 30, 27)(25, 32, 33)(34, 35, 36) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 25, 22, 13, 7)(9, 16, 24, 20, 15, 23, 14)(11, 18, 27, 32, 26, 28, 19)(21, 29, 34, 35, 31, 33, 30)
		ID: 401, Chiral, Mirror of 400, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 19)(14, 24)(20, 27)(21, 25)(22, 26)(23, 29)(28, 35)(30, 32)(31, 33)(34, 36) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 22)(23, 30, 24)(25, 29, 31)(27, 28, 32)(34, 36, 35) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 26, 22, 13, 7)(9, 16, 25, 33, 31, 23, 14)(11, 18, 27, 30, 29, 21, 19)(15, 24, 32, 35, 34, 28, 20)
(S99)	N = 36; Q(8, 8, 8, 8) < T(2, 3, 8); (2¹⁸, 3¹², 1⁴.8⁴)
		ID: 402, Chiral, Mirror of 404, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 22)(11, 15)(12, 21)(13, 14)(16, 19)(18, 23)(20, 26)(24, 27)(25, 33)(28, 35)(29, 31)(30, 34)(32, 36) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 19, 17)(13, 20, 21)(15, 18, 23)(16, 24, 22)(25, 29, 26)(27, 28, 31)(30, 34, 33)(32, 36, 35) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 18, 11, 17, 16, 10)(14, 22, 27, 29, 33, 30, 25, 20)(19, 21, 26, 31, 35, 32, 28, 24)
		ID: 403, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 22)(11, 15)(12, 21)(13, 14)(16, 19)(18, 23)(20, 26)(24, 27)(25, 28)(29, 31)(30, 32)(33, 35)(34, 36) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 19, 17)(13, 20, 21)(15, 18, 23)(16, 24, 22)(25, 29, 26)(27, 28, 30)(31, 33, 35)(32, 34, 36) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 18, 11, 17, 16, 10)(14, 22, 27, 32, 34, 30, 25, 20)(19, 21, 26, 31, 33, 29, 28, 24)
		ID: 404, Chiral, Mirror of 402, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 22)(11, 15)(12, 21)(13, 14)(16, 24)(18, 28)(19, 25)(20, 23)(26, 27)(29, 30)(31, 32)(33, 34)(35, 36) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 19, 17)(13, 20, 21)(15, 18, 23)(16, 24, 22)(25, 27, 30)(26, 31, 28)(29, 33, 34)(32, 35, 36) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 20, 14, 22, 16, 10)(11, 17, 25, 29, 33, 30, 26, 18)(19, 21, 23, 28, 32, 35, 31, 27)
		ID: 405, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 17)(10, 22)(11, 15)(12, 21)(13, 14)(16, 30)(18, 31)(19, 26)(20, 27)(23, 24)(25, 32)(28, 33)(29, 35)(34, 36) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 14)(12, 19, 17)(13, 20, 21)(15, 18, 24)(16, 23, 22)(25, 32, 30)(26, 28, 33)(27, 29, 31)(34, 36, 35) π_w = (2, 3, 5, 8, 13, 12, 7, 4)(6, 9, 15, 23, 30, 25, 16, 10)(11, 17, 26, 28, 19, 21, 27, 18)(14, 22, 24, 31, 35, 34, 29, 20)
(S101)	N = 37; Q(2, 3, 7, 7) < T(2, 3, 7); (1.2¹⁸, 1.3¹², 1².7⁵)
		ID: 406, Chiral, Mirror of 407, Case: 4	π_y = (1, 2)(3, 9)(4, 5)(6, 14)(7, 11)(10, 13)(12, 19)(15, 24)(16, 23)(17, 18)(20, 29)(21, 25)(22, 30)(26, 31)(27, 32)(28, 36)(33, 35)(34, 37) π_z = (2, 3, 5)(4, 7, 8)(6, 10, 9)(11, 12, 14)(13, 15, 18)(16, 21, 19)(17, 22, 23)(20, 26, 24)(25, 28, 32)(27, 30, 29)(31, 33, 35)(34, 37, 36) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 9, 13, 17, 16, 12, 7)(10, 14, 19, 25, 27, 20, 15)(18, 24, 31, 33, 26, 29, 22)(21, 23, 30, 32, 36, 34, 28)
		ID: 407, Chiral, Mirror of 406, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(7, 15)(8, 9)(11, 14)(12, 21)(13, 19)(16, 20)(17, 24)(18, 31)(22, 33)(23, 28)(25, 30)(26, 27)(29, 34)(32, 35)(36, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 13, 14)(12, 16, 15)(17, 23, 21)(18, 24, 19)(20, 22, 27)(25, 32, 31)(26, 28, 30)(29, 34, 33)(35, 36, 37) π_w = (1, 2, 4, 8, 11, 6, 3)(5, 10, 14, 19, 17, 12, 7)(9, 15, 20, 26, 25, 18, 13)(16, 21, 28, 27, 33, 29, 22)(23, 24, 31, 35, 36, 32, 30)
		ID: 408, Chiral, Mirror of 409, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 15)(8, 9)(11, 16)(13, 24)(17, 30)(18, 20)(19, 29)(21, 22)(23, 27)(25, 33)(26, 31)(28, 35)(32, 36)(34, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 12)(13, 18, 15)(16, 17, 22)(19, 26, 24)(20, 25, 27)(21, 28, 29)(23, 31, 30)(32, 36, 33)(34, 37, 35) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 16, 21, 19, 13, 7)(9, 15, 20, 23, 17, 11, 14)(18, 24, 31, 27, 33, 32, 25)(22, 30, 26, 29, 35, 34, 28)
		ID: 409, Chiral, Mirror of 408, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 14)(7, 15)(8, 9)(11, 16)(13, 24)(17, 30)(18, 20)(19, 29)(21, 22)(23, 27)(25, 28)(26, 32)(31, 34)(33, 36)(35, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 12)(13, 18, 15)(16, 17, 22)(19, 26, 24)(20, 25, 27)(21, 28, 29)(23, 31, 30)(32, 33, 36)(34, 35, 37) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 16, 21, 19, 13, 7)(9, 15, 20, 23, 17, 11, 14)(18, 24, 32, 33, 26, 29, 25)(22, 30, 34, 35, 31, 27, 28)
		ID: 410, Chiral, Mirror of 412, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 16)(8, 9)(11, 14)(12, 15)(13, 19)(18, 20)(21, 25)(22, 23)(24, 27)(26, 31)(28, 30)(29, 34)(32, 36)(35, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 18, 17)(13, 19, 16)(20, 21, 23)(22, 24, 25)(26, 28, 27)(29, 33, 31)(30, 32, 34)(35, 37, 36) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 14, 9, 16, 13, 7)(11, 17, 20, 22, 21, 18, 15)(23, 25, 27, 30, 29, 26, 24)(28, 31, 33, 34, 36, 35, 32)
		ID: 411, Chiral, Mirror of 413, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 16)(8, 9)(11, 14)(12, 15)(13, 19)(18, 20)(21, 25)(22, 23)(24, 27)(26, 31)(28, 30)(29, 34)(33, 35)(36, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 18, 17)(13, 19, 16)(20, 21, 23)(22, 24, 25)(26, 28, 27)(29, 33, 31)(30, 32, 34)(35, 36, 37) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 14, 9, 16, 13, 7)(11, 17, 20, 22, 21, 18, 15)(23, 25, 27, 30, 29, 26, 24)(28, 31, 35, 36, 33, 34, 32)
		ID: 412, Chiral, Mirror of 410, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 13)(7, 16)(8, 9)(11, 17)(12, 15)(14, 20)(18, 21)(19, 24)(22, 23)(25, 26)(27, 33)(28, 29)(30, 32)(34, 35)(36, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 16, 13)(17, 18, 21)(19, 22, 20)(23, 25, 24)(26, 27, 29)(28, 31, 32)(30, 34, 33)(35, 36, 37) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 18, 11, 13, 7)(9, 16, 15, 20, 23, 19, 14)(22, 24, 26, 28, 30, 27, 25)(29, 33, 35, 36, 34, 32, 31)
		ID: 413, Chiral, Mirror of 411, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 13)(7, 16)(8, 9)(11, 17)(12, 15)(14, 20)(18, 21)(19, 24)(22, 23)(25, 26)(27, 33)(28, 29)(30, 32)(31, 36)(35, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 16, 13)(17, 18, 21)(19, 22, 20)(23, 25, 24)(26, 27, 29)(28, 31, 32)(30, 34, 33)(35, 37, 36) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 18, 11, 13, 7)(9, 16, 15, 20, 23, 19, 14)(22, 24, 26, 28, 30, 27, 25)(29, 33, 34, 32, 36, 35, 31)
		ID: 414, Chiral, Mirror of 415, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 23)(14, 22)(19, 24)(20, 26)(21, 29)(25, 33)(27, 28)(30, 31)(34, 35)(36, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 18)(13, 17, 16)(20, 26, 23)(21, 27, 22)(24, 25, 29)(28, 31, 32)(30, 34, 33)(35, 36, 37) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 23, 20, 13, 7)(9, 16, 11, 18, 24, 21, 14)(15, 22, 28, 32, 30, 25, 19)(27, 29, 33, 35, 36, 34, 31)
		ID: 415, Chiral, Mirror of 414, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 23)(14, 22)(19, 24)(20, 26)(21, 29)(25, 34)(27, 28)(31, 36)(32, 33)(35, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 18)(13, 17, 16)(20, 26, 23)(21, 27, 22)(24, 25, 29)(28, 31, 33)(30, 32, 34)(35, 37, 36) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 23, 20, 13, 7)(9, 16, 11, 18, 24, 21, 14)(15, 22, 28, 32, 30, 25, 19)(27, 29, 34, 33, 36, 35, 31)
		ID: 416, Chiral, Mirror of 417, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 28)(14, 19)(20, 26)(21, 24)(22, 33)(23, 25)(27, 34)(29, 31)(30, 35)(36, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 23)(22, 30, 28)(24, 29, 32)(25, 31, 33)(26, 27, 34)(35, 36, 37) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 25, 22, 13, 7)(9, 16, 24, 32, 31, 23, 14)(11, 18, 26, 27, 20, 15, 19)(21, 28, 35, 36, 30, 33, 29)
		ID: 417, Chiral, Mirror of 416, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 28)(14, 24)(19, 33)(20, 21)(22, 32)(23, 30)(25, 26)(29, 34)(31, 36)(35, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 26)(22, 29, 28)(23, 30, 24)(25, 31, 32)(27, 34, 33)(35, 37, 36) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 25, 22, 13, 7)(9, 16, 20, 15, 24, 23, 14)(11, 18, 21, 28, 34, 27, 19)(26, 33, 29, 32, 36, 35, 31)
		ID: 418, Chiral, Mirror of 420, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 23)(14, 24)(19, 30)(20, 28)(21, 25)(22, 32)(26, 27)(29, 35)(31, 33)(36, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 27)(22, 24, 23)(25, 31, 33)(26, 34, 32)(28, 30, 29)(35, 36, 37) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 26, 22, 13, 7)(9, 16, 25, 31, 21, 23, 14)(11, 18, 28, 35, 36, 29, 19)(15, 24, 32, 34, 27, 30, 20)
		ID: 419, Reflexible, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 31)(14, 24)(19, 30)(20, 28)(21, 25)(23, 33)(26, 27)(29, 34)(32, 36)(35, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 27)(22, 26, 31)(23, 25, 24)(28, 30, 29)(32, 36, 33)(34, 35, 37) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 26, 22, 13, 7)(9, 16, 25, 33, 32, 23, 14)(11, 18, 28, 34, 35, 29, 19)(15, 24, 21, 31, 27, 30, 20)
		ID: 420, Chiral, Mirror of 418, Case: 4	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 31)(14, 24)(19, 35)(20, 28)(21, 25)(22, 30)(23, 34)(26, 27)(29, 36)(33, 37) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 27)(22, 32, 31)(23, 25, 24)(26, 28, 30)(29, 36, 35)(33, 37, 34) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 26, 22, 13, 7)(9, 16, 25, 34, 33, 23, 14)(11, 18, 28, 27, 35, 29, 19)(15, 24, 21, 31, 32, 30, 20)
(S102)	N = 44; Q(3, 3, 7, 7) < T(2, 3, 7); (2²², 1².3¹⁴, 1².7⁶)
		ID: 421, Chiral, Mirror of 427, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 13)(8, 9)(11, 16)(12, 15)(14, 20)(18, 24)(19, 21)(22, 34)(23, 33)(25, 26)(27, 30)(28, 32)(29, 38)(31, 35)(36, 40)(37, 39)(41, 44)(42, 43) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 17)(16, 18, 20)(21, 23, 26)(22, 27, 24)(25, 31, 32)(28, 36, 34)(29, 37, 33)(30, 35, 38)(39, 42, 43)(40, 41, 44) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 16, 14, 9, 13, 7)(11, 17, 21, 25, 28, 22, 18)(15, 20, 24, 30, 29, 23, 19)(26, 33, 39, 42, 37, 38, 31)(27, 34, 40, 41, 36, 32, 35)
		ID: 422, Chiral, Mirror of 428, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 13)(8, 9)(11, 16)(12, 15)(14, 20)(18, 24)(19, 21)(22, 34)(23, 33)(25, 26)(27, 30)(28, 32)(29, 38)(31, 40)(35, 42)(36, 37)(39, 43)(41, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 17)(16, 18, 20)(21, 23, 26)(22, 27, 24)(25, 31, 32)(28, 36, 34)(29, 37, 33)(30, 35, 38)(39, 43, 40)(41, 44, 42) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 16, 14, 9, 13, 7)(11, 17, 21, 25, 28, 22, 18)(15, 20, 24, 30, 29, 23, 19)(26, 33, 36, 32, 40, 39, 31)(27, 34, 37, 38, 42, 41, 35)
		ID: 423, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 16)(8, 9)(11, 14)(12, 15)(13, 19)(18, 20)(21, 25)(22, 23)(24, 27)(26, 31)(28, 30)(29, 34)(32, 38)(33, 35)(36, 41)(37, 43)(39, 40)(42, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 18, 17)(13, 19, 16)(20, 21, 23)(22, 24, 25)(26, 28, 27)(29, 33, 31)(30, 32, 34)(35, 37, 40)(36, 39, 38)(42, 44, 43) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 14, 9, 16, 13, 7)(11, 17, 20, 22, 21, 18, 15)(23, 25, 27, 30, 29, 26, 24)(28, 31, 35, 39, 41, 36, 32)(33, 34, 38, 40, 43, 42, 37)
		ID: 424, Chiral, Mirror of 425, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 17)(7, 16)(8, 9)(11, 14)(12, 15)(13, 19)(18, 20)(21, 25)(22, 23)(24, 27)(26, 31)(28, 30)(29, 34)(32, 38)(33, 35)(36, 37)(39, 40)(41, 42)(43, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 18, 17)(13, 19, 16)(20, 21, 23)(22, 24, 25)(26, 28, 27)(29, 33, 31)(30, 32, 34)(35, 37, 40)(36, 41, 38)(42, 43, 44) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 14, 9, 16, 13, 7)(11, 17, 20, 22, 21, 18, 15)(23, 25, 27, 30, 29, 26, 24)(28, 31, 35, 39, 40, 36, 32)(33, 34, 38, 42, 43, 41, 37)
		ID: 425, Chiral, Mirror of 424, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 13)(7, 16)(8, 9)(11, 17)(12, 15)(14, 20)(18, 21)(19, 24)(22, 23)(25, 26)(27, 33)(28, 29)(30, 32)(31, 36)(34, 37)(35, 40)(38, 43)(39, 41)(42, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 16, 13)(17, 18, 21)(19, 22, 20)(23, 25, 24)(26, 27, 29)(28, 31, 32)(30, 34, 33)(35, 39, 36)(37, 38, 41)(42, 44, 43) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 18, 11, 13, 7)(9, 16, 15, 20, 23, 19, 14)(22, 24, 26, 28, 30, 27, 25)(29, 33, 37, 39, 40, 35, 31)(32, 36, 41, 43, 42, 38, 34)
		ID: 426, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 23)(14, 22)(19, 24)(20, 26)(21, 29)(25, 34)(27, 28)(30, 38)(31, 39)(32, 33)(35, 40)(36, 41)(37, 43)(42, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 18)(13, 17, 16)(20, 26, 23)(21, 27, 22)(24, 25, 29)(28, 31, 33)(30, 35, 34)(32, 37, 38)(36, 40, 39)(42, 44, 43) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 23, 20, 13, 7)(9, 16, 11, 18, 24, 21, 14)(15, 22, 28, 32, 30, 25, 19)(27, 29, 34, 40, 41, 36, 31)(33, 39, 35, 38, 43, 42, 37)
		ID: 427, Chiral, Mirror of 421, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 19)(14, 22)(20, 23)(21, 31)(24, 37)(25, 27)(26, 36)(28, 29)(30, 34)(32, 40)(33, 38)(35, 42)(39, 43)(41, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 18)(13, 20, 16)(21, 25, 22)(23, 24, 29)(26, 33, 31)(27, 32, 34)(28, 35, 36)(30, 38, 37)(39, 43, 40)(41, 44, 42) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 11, 18, 13, 7)(9, 16, 23, 28, 26, 21, 14)(15, 22, 27, 30, 24, 20, 19)(25, 31, 38, 34, 40, 39, 32)(29, 37, 33, 36, 42, 41, 35)
		ID: 428, Chiral, Mirror of 422, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 19)(14, 22)(20, 23)(21, 31)(24, 37)(25, 27)(26, 36)(28, 29)(30, 34)(32, 35)(33, 39)(38, 41)(40, 43)(42, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 18)(13, 20, 16)(21, 25, 22)(23, 24, 29)(26, 33, 31)(27, 32, 34)(28, 35, 36)(30, 38, 37)(39, 40, 43)(41, 42, 44) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 11, 18, 13, 7)(9, 16, 23, 28, 26, 21, 14)(15, 22, 27, 30, 24, 20, 19)(25, 31, 39, 40, 33, 36, 32)(29, 37, 41, 42, 38, 34, 35)
		ID: 429, Chiral, Mirror of 431, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 28)(14, 19)(20, 26)(21, 24)(22, 34)(23, 25)(27, 35)(29, 37)(30, 36)(31, 40)(32, 33)(38, 43)(39, 41)(42, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 23)(22, 30, 28)(24, 29, 33)(25, 31, 34)(26, 27, 35)(32, 39, 40)(36, 38, 41)(42, 44, 43) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 25, 22, 13, 7)(9, 16, 24, 32, 31, 23, 14)(11, 18, 26, 27, 20, 15, 19)(21, 28, 36, 39, 33, 37, 29)(30, 34, 40, 41, 43, 42, 38)
		ID: 430, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 28)(14, 19)(20, 26)(21, 24)(22, 34)(23, 25)(27, 35)(29, 38)(30, 36)(31, 40)(32, 33)(37, 41)(39, 43)(42, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 23)(22, 30, 28)(24, 29, 33)(25, 31, 34)(26, 27, 35)(32, 39, 40)(36, 38, 37)(41, 42, 44) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 25, 22, 13, 7)(9, 16, 24, 32, 31, 23, 14)(11, 18, 26, 27, 20, 15, 19)(21, 28, 36, 41, 42, 37, 29)(30, 34, 40, 43, 39, 33, 38)
		ID: 431, Chiral, Mirror of 429, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 28)(14, 24)(19, 33)(20, 21)(22, 32)(23, 30)(25, 26)(27, 40)(29, 35)(31, 38)(34, 39)(36, 37)(41, 42)(43, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 26)(22, 29, 28)(23, 30, 24)(25, 31, 32)(27, 34, 33)(35, 36, 40)(37, 41, 38)(42, 43, 44) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 25, 22, 13, 7)(9, 16, 20, 15, 24, 23, 14)(11, 18, 21, 28, 35, 27, 19)(26, 33, 39, 34, 40, 37, 31)(29, 32, 38, 42, 43, 41, 36)
		ID: 432, Chiral, Mirror of 435, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 23)(14, 24)(19, 35)(20, 28)(21, 25)(22, 32)(26, 27)(29, 30)(31, 33)(34, 39)(36, 37)(38, 41)(40, 43)(42, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 27)(22, 24, 23)(25, 31, 33)(26, 34, 32)(28, 30, 37)(29, 38, 35)(39, 40, 41)(42, 44, 43) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 26, 22, 13, 7)(9, 16, 25, 31, 21, 23, 14)(11, 18, 28, 36, 37, 29, 19)(15, 24, 32, 39, 38, 30, 20)(27, 35, 41, 43, 42, 40, 34)
		ID: 433, Reflexible, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 31)(14, 24)(19, 29)(20, 28)(21, 25)(22, 36)(23, 34)(26, 27)(30, 41)(32, 38)(33, 40)(35, 37)(39, 43)(42, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 27)(22, 32, 31)(23, 25, 24)(26, 35, 36)(28, 30, 37)(33, 40, 34)(38, 39, 41)(42, 44, 43) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 26, 22, 13, 7)(9, 16, 25, 34, 33, 23, 14)(11, 18, 28, 35, 27, 29, 19)(15, 24, 21, 31, 38, 30, 20)(32, 36, 37, 41, 43, 42, 39)
		ID: 434, Chiral, Mirror of 436, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 31)(14, 24)(19, 37)(20, 28)(21, 25)(22, 36)(23, 34)(26, 27)(29, 30)(32, 40)(33, 41)(35, 43)(38, 39)(42, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 27)(22, 32, 31)(23, 25, 24)(26, 35, 36)(28, 30, 39)(29, 40, 37)(33, 41, 34)(42, 44, 43) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 26, 22, 13, 7)(9, 16, 25, 34, 33, 23, 14)(11, 18, 28, 38, 39, 29, 19)(15, 24, 21, 31, 40, 30, 20)(27, 37, 32, 36, 43, 42, 35)
		ID: 435, Chiral, Mirror of 432, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 31)(14, 24)(19, 37)(20, 28)(21, 25)(22, 30)(23, 35)(26, 27)(29, 38)(32, 41)(33, 39)(34, 36)(40, 42)(43, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 27)(22, 33, 31)(23, 34, 24)(25, 32, 36)(26, 28, 30)(29, 38, 37)(39, 41, 40)(42, 43, 44) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 26, 22, 13, 7)(9, 16, 25, 34, 35, 23, 14)(11, 18, 28, 27, 37, 29, 19)(15, 24, 36, 41, 33, 30, 20)(21, 31, 39, 42, 43, 40, 32)
		ID: 436, Chiral, Mirror of 434, Case: 3	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 31)(14, 24)(19, 30)(20, 28)(21, 25)(22, 38)(23, 35)(26, 27)(29, 39)(32, 37)(33, 41)(34, 36)(40, 43)(42, 44) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 20, 18)(13, 21, 16)(17, 19, 27)(22, 33, 31)(23, 34, 24)(25, 32, 36)(26, 37, 38)(28, 30, 29)(39, 40, 43)(41, 42, 44) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 26, 22, 13, 7)(9, 16, 25, 34, 35, 23, 14)(11, 18, 28, 39, 40, 29, 19)(15, 24, 36, 37, 27, 30, 20)(21, 31, 41, 42, 33, 38, 32)
(S103)	N = 45; Q(2, 7, 7, 7) < T(2, 3, 7); (1.2²², 3¹⁵, 1³.7⁶)
		ID: 437, Chiral, Mirror of 438, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 15)(10, 17)(12, 13)(14, 22)(16, 19)(18, 21)(20, 27)(23, 32)(24, 31)(25, 26)(28, 37)(29, 33)(30, 38)(34, 39)(35, 40)(36, 44)(41, 43)(42, 45) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 16, 15)(14, 18, 17)(19, 20, 22)(21, 23, 26)(24, 29, 27)(25, 30, 31)(28, 34, 32)(33, 36, 40)(35, 38, 37)(39, 41, 43)(42, 45, 44) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 11, 15, 19, 14, 10)(13, 17, 21, 25, 24, 20, 16)(18, 22, 27, 33, 35, 28, 23)(26, 32, 39, 41, 34, 37, 30)(29, 31, 38, 40, 44, 42, 36)
		ID: 438, Chiral, Mirror of 437, Case: 2	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 15)(11, 14)(12, 13)(16, 23)(17, 20)(18, 19)(21, 30)(22, 24)(25, 28)(26, 29)(27, 36)(31, 41)(32, 37)(33, 39)(34, 35)(38, 43)(40, 42)(44, 45) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 17, 15)(14, 16, 19)(18, 22, 20)(21, 25, 23)(24, 27, 29)(26, 32, 30)(28, 31, 35)(33, 40, 36)(34, 37, 39)(38, 43, 41)(42, 44, 45) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 18, 17, 13, 10)(11, 15, 20, 24, 26, 21, 16)(19, 23, 28, 34, 33, 27, 22)(25, 30, 37, 35, 41, 38, 31)(29, 36, 42, 44, 40, 39, 32)
(S104)	N = 52; Q(3, 7, 7, 7) < T(2, 3, 7); (2²⁶, 1.3¹⁷, 1³.7⁷)
(S104)		ID: 439, Reflexible, Case: 2	π_y = (1, 2)(3, 10)(4, 5)(6, 18)(7, 16)(8, 9)(11, 17)(12, 15)(13, 23)(14, 22)(19, 24)(20, 26)(21, 29)(25, 34)(27, 28)(30, 38)(31, 39)(32, 33)(35, 40)(36, 44)(37, 45)(41, 51)(42, 46)(43, 47)(48, 52)(49, 50) π_z = (2, 3, 5)(4, 7, 9)(6, 11, 10)(8, 14, 15)(12, 19, 18)(13, 17, 16)(20, 26, 23)(21, 27, 22)(24, 25, 29)(28, 31, 33)(30, 35, 34)(32, 37, 38)(36, 42, 39)(40, 41, 47)(43, 45, 44)(46, 49, 50)(48, 52, 51) π_w = (1, 2, 4, 8, 12, 6, 3)(5, 10, 17, 23, 20, 13, 7)(9, 16, 11, 18, 24, 21, 14)(15, 22, 28, 32, 30, 25, 19)(27, 29, 34, 40, 43, 36, 31)(33, 39, 46, 49, 42, 44, 37)(35, 38, 45, 47, 51, 48, 41)
(S105)	N = 60; Q(7, 7, 7, 7) < T(2, 3, 7); (2³⁰, 3²⁰, 1⁴.7⁸)
		ID: 440, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 29)(17, 28)(18, 24)(20, 21)(22, 27)(23, 26)(25, 32)(30, 38)(31, 35)(33, 34)(36, 45)(37, 39)(40, 43)(41, 44)(42, 51)(46, 56)(47, 52)(48, 54)(49, 50)(53, 58)(55, 57)(59, 60) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 24, 26)(23, 31, 29)(25, 32, 28)(27, 30, 34)(33, 37, 35)(36, 40, 38)(39, 42, 44)(41, 47, 45)(43, 46, 50)(48, 55, 51)(49, 52, 54)(53, 58, 56)(57, 59, 60) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 23, 15, 10)(11, 16, 24, 21, 28, 25, 17)(13, 19, 27, 33, 31, 26, 18)(22, 29, 35, 39, 41, 36, 30)(34, 38, 43, 49, 48, 42, 37)(40, 45, 52, 50, 56, 53, 46)(44, 51, 57, 59, 55, 54, 47)
		ID: 441, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 30)(17, 26)(18, 24)(20, 21)(22, 27)(23, 29)(25, 33)(28, 35)(31, 40)(32, 36)(34, 39)(37, 50)(38, 49)(41, 42)(43, 46)(44, 48)(45, 54)(47, 51)(52, 56)(53, 55)(57, 60)(58, 59) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 28, 29)(23, 32, 30)(24, 26, 25)(27, 31, 35)(33, 34, 39)(36, 38, 42)(37, 43, 40)(41, 47, 48)(44, 52, 50)(45, 53, 49)(46, 51, 54)(55, 58, 59)(56, 57, 60) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 23, 15, 10)(11, 16, 24, 33, 34, 25, 17)(13, 19, 27, 28, 21, 26, 18)(22, 30, 36, 41, 44, 37, 31)(29, 35, 40, 46, 45, 38, 32)(42, 49, 55, 58, 53, 54, 47)(43, 50, 56, 57, 52, 48, 51)
		ID: 442, Chiral, Mirror of 443, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 30)(17, 26)(18, 24)(20, 21)(22, 27)(23, 29)(25, 33)(28, 35)(31, 40)(32, 36)(34, 39)(37, 50)(38, 49)(41, 42)(43, 46)(44, 48)(45, 54)(47, 56)(51, 58)(52, 53)(55, 59)(57, 60) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 28, 29)(23, 32, 30)(24, 26, 25)(27, 31, 35)(33, 34, 39)(36, 38, 42)(37, 43, 40)(41, 47, 48)(44, 52, 50)(45, 53, 49)(46, 51, 54)(55, 59, 56)(57, 60, 58) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 23, 15, 10)(11, 16, 24, 33, 34, 25, 17)(13, 19, 27, 28, 21, 26, 18)(22, 30, 36, 41, 44, 37, 31)(29, 35, 40, 46, 45, 38, 32)(42, 49, 52, 48, 56, 55, 47)(43, 50, 53, 54, 58, 57, 51)
		ID: 443, Chiral, Mirror of 442, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 31)(17, 30)(18, 24)(20, 21)(22, 27)(23, 29)(25, 32)(26, 35)(28, 37)(33, 38)(34, 40)(36, 47)(39, 53)(41, 43)(42, 52)(44, 45)(46, 50)(48, 51)(49, 55)(54, 57)(56, 59)(58, 60) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 28, 29)(23, 32, 31)(24, 26, 27)(25, 33, 30)(34, 40, 35)(36, 41, 37)(38, 39, 45)(42, 49, 47)(43, 48, 50)(44, 51, 52)(46, 54, 53)(55, 56, 59)(57, 58, 60) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 23, 15, 10)(11, 16, 24, 22, 31, 25, 17)(13, 19, 27, 35, 34, 26, 18)(21, 30, 38, 44, 42, 36, 28)(29, 37, 43, 46, 39, 33, 32)(41, 47, 55, 56, 49, 52, 48)(45, 53, 57, 58, 54, 50, 51)
		ID: 444, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 31)(17, 30)(18, 24)(20, 21)(22, 27)(23, 29)(25, 41)(26, 49)(28, 42)(32, 52)(33, 44)(34, 35)(36, 43)(37, 48)(38, 46)(39, 40)(45, 54)(47, 56)(50, 53)(51, 57)(55, 59)(58, 60) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 28, 29)(23, 33, 31)(24, 26, 35)(25, 36, 30)(27, 32, 40)(34, 47, 48)(37, 42, 41)(38, 51, 49)(39, 44, 46)(43, 50, 53)(45, 54, 52)(55, 57, 56)(58, 60, 59) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 23, 15, 10)(11, 16, 24, 34, 37, 25, 17)(13, 19, 27, 39, 38, 26, 18)(21, 30, 43, 50, 36, 41, 28)(22, 31, 44, 40, 52, 45, 32)(29, 42, 48, 56, 51, 46, 33)(35, 49, 57, 59, 58, 55, 47)
		ID: 445, Reflexible, Case: 1	π_y = (1, 3)(2, 5)(4, 9)(6, 8)(7, 16)(10, 19)(11, 14)(12, 13)(15, 31)(17, 30)(18, 24)(20, 21)(22, 27)(23, 29)(25, 41)(26, 49)(28, 42)(32, 46)(33, 44)(34, 35)(36, 43)(37, 48)(38, 53)(39, 40)(45, 55)(47, 52)(50, 54)(51, 57)(56, 59)(58, 60) π_z = (1, 2, 3)(4, 6, 5)(7, 11, 9)(8, 10, 13)(12, 18, 16)(14, 17, 21)(15, 22, 19)(20, 28, 29)(23, 33, 31)(24, 26, 35)(25, 36, 30)(27, 32, 40)(34, 47, 48)(37, 42, 41)(38, 51, 49)(39, 52, 53)(43, 50, 54)(44, 46, 45)(55, 56, 59)(57, 58, 60) π_w = (2, 3, 5, 8, 12, 7, 4)(6, 9, 14, 20, 23, 15, 10)(11, 16, 24, 34, 37, 25, 17)(13, 19, 27, 39, 38, 26, 18)(21, 30, 43, 50, 36, 41, 28)(22, 31, 44, 55, 56, 45, 32)(29, 42, 48, 52, 40, 46, 33)(35, 49, 57, 58, 51, 53, 47)