Group: S6(2)
Order: 29·3
4·5·7

Characteristic Block Dimension Subgroups Generators Ext-quiver Links
3 1 1509 NG(H): 1097
H: <b, b2, ad-2, cac, acac>
z4, z7, z3, z2 Basic Algebra
2 50 NG(H): 1294
H: <a3b-4a-1, b-1aba-1, aba-2ba, a3ba-2ba-1, a2ba-2b, a4, b5>
z5, z1, z2, z3 Basic Algebra
3 170 NG(H): 296
H: <a2b2, b2, aba-1b-1, acb-1e, ad, ca, aba-1>
z11, z3, z6, z5 Basic Algebra
5 1 72 NG(H): 1353
H: <ab2c-1ac-1, ca2c-1, ab2c-2a, ab2ab2, b-2c2, bc-1b-1c, b2c-2>
z3, z2, z6, z1, z5, z9
Basic Algebra
2 78 NG(H): 1278
H: <abdabd-1, bd-1bd-1, adad-1, a, (bc)2, a2, d-1a-1, ab-1c>
z9, z2, z5, z3 Basic Algebra
4 139 NG(H): 1278
H: <b, abdabd-1, bd-1bd-1, adad-1, a, bcbc, a2>
z9, z5, z3, z7(z1,z3) Basic Algebra
7 1 76 NG(H): 1278
H: <a2, adad-1, b-1db-1d, bd-1bd-1, ab2dcb, a2b2dcd-1, ad2b-1>
z4, z5, z3, z7(z1,z3) Basic Algebra