Finite Group DatabasebetaFinite Group Databasebeta| order | 25578 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C72×C9 · Schur multiplier (H2) = C7 |
| Fitting | C7×C9×C29 ⋊ C2×C7 |
| derived, Sylow | C29 ⋊ C2×C72×C9 |
| Hall | C7×C9×C29⋊C7 ⋊ C2 |
| Hall | C7×C29⋊C7 ⋊ C2×C9 |
| Hall | C9×D29 ⋊ C72 |
| Hall | C9×C29 ⋊ C2×C72 |
| Hall | D29 ⋊ C72×C9 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1827 |
1008 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25578, 48);