Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×#10596885⋊C3 |
| unambiguous semidirect product | #10596885⋊(C3×C13) |
| Fitting, socle, Hall | C72×C13 ⋊ C3×Dic3 |
| derived | #3862 ⋊ C3×C4×C13 |
| Hall | C13×ΓL(1,𝔽8)2 ⋊ C4 |
| Hall | ΓL(1,𝔽8)2 ⋊ C4×C13 |
| Sylow | C72 ⋊ C3×Dic3×C13 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 182 |
286 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 795);