Finite Group DatabasebetaFinite Group Databasebeta| order | 22939 |
| automorphism | ? |
| homology | Abelianization (H1) = C7×C113 · Schur multiplier (H2) = C1 |
| direct product | C113×C29⋊C7 |
| unambiguous semidirect product | C29⋊(C7×C113) |
| Fitting, socle, Hall | C29×C113 ⋊ C7 |
| derived, Sylow | C29 ⋊ C7×C113 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C113 | C29⋊C7 |
| commutator, cosocle, hypocenter | C29 | C7×C113 |
| Frattini | C1 | G |
| Fitting, socle | C29×C113 | C7 |
| LCS | G ▷ C29 | |
| UCS | C1 ◁ C113 | |
8 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3277 |
1243 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22939, 1);