Finite Group DatabasebetaFinite Group Databasebeta| order | 33516 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C72×C9 · Schur multiplier (H2) = C2×C7 |
| direct product | C22×C72×#4294 |
| derived, Sylow | C19 ⋊ C22×C72×C9 |
| Hall | C22×C72×C19 ⋊ C9 |
| Hall | C72×C19 ⋊ C22×C9 |
| Hall | C22×C19 ⋊ C72×C9 |
300 conjugacy classes of subgroups.
| transitive degree | μt(G) = 33516 |
5292 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33516, 504);