Finite Group DatabasebetaFinite Group Databasebeta| order | 21942 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C23 · Schur multiplier (H2) = C1 |
| direct product | C9×C23×D53 |
| unambiguous semidirect product | C53⋊(C2×C9×C23) |
| Fitting, Hall | C9×C23×C53 ⋊ C2 |
| derived, Sylow | C53 ⋊ C2×C9×C23 |
| Hall | C23×C53 ⋊ C2×C9 |
| Hall | C9×C53 ⋊ C2×C23 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10971 |
5796 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21942, 2);