Finite Group DatabasebetaFinite Group Databasebeta| order | 23226 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C49 · Schur multiplier (H2) = C1 |
| direct product | C2×C49×C79⋊C3 |
| unambiguous semidirect product | (C2×C79)⋊(C3×C49) |
| Fitting, Hall | C2×C49×C79 ⋊ C3 |
| derived, Sylow | C79 ⋊ C2×C3×C49 |
| Hall | C49×C79 ⋊ C2×C3 |
| Hall | C2×C79 ⋊ C3×C49 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7742 |
2842 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23226, 2);