Finite Group DatabasebetaFinite Group Databasebeta| order | 34362 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C83 · Schur multiplier (H2) = C1 |
| direct product | C9×D23×C83 |
| unambiguous semidirect product | C23⋊(C2×C9×C83) |
| Fitting, Hall | C9×C23×C83 ⋊ C2 |
| derived, Sylow | C23 ⋊ C2×C9×C83 |
| Hall | C23×C83 ⋊ C2×C9 |
| Hall | C9×C23 ⋊ C2×C83 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17181 |
9711 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34362, 3);