Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2×C5 |
| direct product | C2×#30659247 |
| derived, Hall | C52×C37 ⋊ C22×C9 |
| Hall | C52⋊#66524 ⋊ C22 |
| Hall | C2×C52×D37 ⋊ C9 |
| Hall | C2×D37 ⋊ C52⋊C9 |
| Sylow | C37 ⋊ C22×C52⋊C9 |
| Sylow | C52 ⋊ C2×#66524⋊C2 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3330 |
1032 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 267);