Finite Group DatabasebetaFinite Group Databasebeta| order | 24863 |
| automorphism | ? |
| homology | Abelianization (H1) = C232 · Schur multiplier (H2) = C23 |
| direct product | C23×C47⋊C23 |
| unambiguous semidirect product | C47⋊C232 |
| unambiguous semidirect product | (C23×C47)⋊C23 |
| Fitting, socle | C23×C47 ⋊ C23 |
| derived, Sylow | C47 ⋊ C232 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C23 | C47⋊C23 |
| commutator, cosocle, hypocenter | C47 | C232 |
| Frattini | C1 | G |
| Fitting, socle | C23×C47 | C23 |
| LCS | G ▷ C47 | |
| UCS | C1 ◁ C23 | |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1081 |
575 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24863, 3);