Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C72 · Schur multiplier (H2) = C7 |
| direct product | C72×Dic117 |
| unambiguous semidirect product | C9⋊(C72×Dic13) |
| derived, Hall | C9×C13 ⋊ C4×C72 |
| Hall | C72×C9×C13 ⋊ C4 |
| Hall | C72×C13 ⋊ Dic9 |
| Hall | C72×C9 ⋊ Dic13 |
| Sylow | C13 ⋊ C72×Dic9 |
| Sylow | C9 ⋊ C72×Dic13 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 22932 |
5880 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 339);