Finite Group DatabasebetaFinite Group Databasebeta| order | 25828 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| direct product | D11×D587 |
| unambiguous semidirect product | (D11×C587)⋊C2 |
| unambiguous semidirect product | (C11×D587)⋊C2 |
| unambiguous semidirect product | D6457⋊C2 |
| Fitting, socle, derived, Hall | C11×C587 ⋊ C22 |
| Sylow | C587 ⋊ C2×D11 |
| Sylow | C11 ⋊ C2×D587 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C11×C587 | C22 |
| LCS | G ▷ C11×C587 | |
| UCS | C1 | |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6457 |
2065 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25828, 6);