Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C3 |
| direct product | C13×C3⋊#10596868 |
| unambiguous semidirect product | C3⋊(C13×#10596868) |
| derived, Hall | C3×#3862 ⋊ C4×C13 |
| Hall | C3×C13×#3862 ⋊ C4 |
| Hall | C72×C13 ⋊ C3⋊Dic3 |
| Sylow | C72 ⋊ C13×C3⋊Dic3 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1092 |
1014 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 757);