Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C7 |
| direct product | C3×C13×C3⋊(C7⋊Dic7) |
| unambiguous semidirect product | C3⋊(C3×C13×C7⋊Dic7) |
| derived | C3×C72 ⋊ C3×C4×C13 |
| Hall | C32×C72×C13 ⋊ C4 |
| Hall | C72×C13 ⋊ C3×Dic3 |
| Hall | C32×C72 ⋊ C4×C13 |
| Hall | C32×C13 ⋊ C7⋊Dic7 |
| Sylow | C72 ⋊ C3×Dic3×C13 |
| Sylow | C32 ⋊ C13×C7⋊Dic7 |
280 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7644 |
5850 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 775);