| order | 21996 |
| automorphism | ? |
| homology | Abelianization (H1) = C9×C47 · Schur multiplier (H2) = C2 |
| derived, Hall | C22×C13 ⋊ C9×C47 |
| Hall | C22×C13×C47 ⋊ C9 |
| Hall | C13×C47 ⋊ C22⋊C9 |
| Hall | C22×C47 ⋊ C13⋊C9 |
| Sylow | C13 ⋊ C22⋊C9×C47 |
| Sylow | C22 ⋊ C47×C13⋊C9 |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10998 |
2820 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21996, 31);