Group: S4(5)
Order: 26·3
2·54·13

Characteristic Block Dimension Subgroups Generators Ext-quiver Links
2 2 7776 NG(H): 293
H: <ab-1cb-1ca-1, bc-1bc-1>
z10, z7, aca3b, bc2b2, ba-2b-1ab2 Basic Algebra
3 7688 NG(H): 232
H: <aba-2ba, a-1ba-4>
z8, z2, a5 Basic Algebra
3 1 522 NG(H): 219
H: <a, ab-1a-1b-1, ba, ab>
z9, z3, z1, z5 Basic Algebra
2 584 NG(H): 216
H: <aba4, a, ba2b, a2>
z3, z1, z4 Basic Algebra
3, 4 33 NG(H): 296
H: <a-1b3aba-1b, ba2b-1a-2b-1ab2, a2b-2ab-1a-1bab-1, a2ba-1ba2b, abab-1a-3b-1, abababab>
z1, z7, z10, a2b-2a-1bab-1 Basic Algebra
6 56 NG(H): 271
H: <b2ca, a2, ba-1ba-1, a4, aba-1b2>
z5, z2, z6, z10(z1,z3) Basic Algebra
7 90 NG(H): 232
H: <a, b>
z8, z6, z4, z9(z1,z3) Basic Algebra
5 1 14544 NG(H): 207
H: <baba, abab, b2>
z5, z1
Basic Algebra
13 1 272 NG(H): 257
H: <aba-1b-1a-2, ba-2b-1, a2, a3b2a-1>
z9, z1, z6 Basic Algebra