Finite Group DatabasebetaFinite Group Databasebeta| order | 24012 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C23 · Schur multiplier (H2) = C1 |
| direct product | C23×C9⋊#1181 |
| unambiguous semidirect product | C9⋊(C23×#1181) |
| Fitting, Hall | C9×C23×C29 ⋊ C4 |
| derived, Hall | C9×C29 ⋊ C4×C23 |
| Hall | C23×C29 ⋊ Dic9 |
| Hall | C9×C23 ⋊ #1181 |
| Sylow | C29 ⋊ C23×Dic9 |
| Sylow | C9 ⋊ C23×#1181 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6003 |
1725 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24012, 13);