Finite Group DatabasebetaFinite Group Databasebeta| order | 24892 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C49 · Schur multiplier (H2) = C2 |
| direct product | C2×C49×D127 |
| Fitting | C2×C49×C127 ⋊ C2 |
| derived, Sylow | C127 ⋊ C22×C49 |
| Hall | C49×C127 ⋊ C22 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12446 |
6370 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24892, 13);