Finite Group DatabasebetaFinite Group Databasebeta| order | 24882 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C11×C13 · Schur multiplier (H2) = C1 |
| direct product | C11×C13×D87 |
| unambiguous semidirect product | C3⋊(C11×C13×D29) |
| unambiguous semidirect product | C29⋊(D3×C11×C13) |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C11×C13 | D87 |
| commutator, cosocle, hypocenter | C3×C29 | C2×C11×C13 |
| Frattini | C1 | G |
| Fitting, socle | C3×C11×C13×C29 | C2 |
| LCS | G ▷ C3×C29 | |
| UCS | C1 ◁ C11×C13 | |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12441 |
6435 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24882, 11);