Finite Group DatabasebetaFinite Group Databasebeta| order | 24066 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C7×C9×D191 |
| unambiguous semidirect product | C191⋊(C2×C7×C9) |
| Fitting, Hall | C7×C9×C191 ⋊ C2 |
| derived, Sylow | C191 ⋊ C2×C7×C9 |
| Hall | C9×C191 ⋊ C2×C7 |
| Hall | C7×C191 ⋊ C2×C9 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12033 |
6111 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24066, 3);