Finite Group DatabasebetaFinite Group Databasebeta| order | 24863 |
| automorphism | ? |
| homology | Abelianization (H1) = C529 · Schur multiplier (H2) = C1 |
| unambiguous semidirect product | C47⋊C529 |
| derived, Sylow | C47 ⋊ C529 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C23 | C47⋊C23 |
| commutator, hypocenter | C47 | C529 |
| Fitting, socle, prime radical, cosocle | C23×C47 | C23 |
| LCS | G ▷ C47 | |
| UCS | C1 ◁ C23 | |
6 conjugacy classes of subgroups.
| transitive degree | μt(G) = 24863 |
Polycyclic presentation:
23^2,47|a^23=b,c^a=c^25575 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24863, 1);