Finite Group DatabasebetaFinite Group Databasebeta| order | 33516 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C72 · Schur multiplier (H2) = C7 |
| direct product | C72×Dic3×C19⋊C3 |
| unambiguous semidirect product | C3⋊(C4×C72×C19⋊C3) |
| unambiguous semidirect product | (Dic3×C19)⋊(C3×C72) |
| derived | C3×C19 ⋊ C3×C4×C72 |
| Hall | C3×C72×C19⋊C3 ⋊ C4 |
| Hall | C72×C19 ⋊ C3×Dic3 |
| Hall | C3×C19⋊C3 ⋊ C4×C72 |
| Sylow | C19 ⋊ C3×C72×Dic3 |
280 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11172 |
2646 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33516, 685);