Finite Group DatabasebetaFinite Group Databasebeta| order | 33462 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×#15690150 |
| derived, Sylow | C132 ⋊ C2×C9×C11 |
| Hall | C11×#13095200 ⋊ C2 |
| Hall | C11×C13×D13 ⋊ C9 |
| Hall | C11×C132 ⋊ C2×C9 |
| Hall | #13095200 ⋊ C2×C11 |
| Hall | C13×D13 ⋊ C9×C11 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2574 |
1320 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33462, 37);