Finite Group DatabasebetaFinite Group Databasebeta| order | 24897 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C193 · Schur multiplier (H2) = C1 |
| direct product | C43⋊C3×C193 |
| unambiguous semidirect product | C43⋊(C3×C193) |
| Fitting, socle, Hall | C43×C193 ⋊ C3 |
| derived, Sylow | C43 ⋊ C3×C193 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C193 | C43⋊C3 |
| commutator, cosocle, hypocenter | C43 | C3×C193 |
| Frattini | C1 | G |
| Fitting, socle | C43×C193 | C3 |
| LCS | G ▷ C43 | |
| UCS | C1 ◁ C193 | |
8 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8299 |
3281 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24897, 1);