Finite Group DatabasebetaFinite Group Databasebeta| order | 25146 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×#11765917⋊C2 |
| unambiguous semidirect product | #11765917⋊(C2×C11) |
| derived, Sylow | C127 ⋊ C2×C9×C11 |
| Hall | C11×#11765917 ⋊ C2 |
| Hall | C11×D127 ⋊ C9 |
| Hall | C11×C127 ⋊ C2×C9 |
| Hall | #11765917 ⋊ C2×C11 |
| Hall | D127 ⋊ C9×C11 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12573 |
891 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25146, 10);