Finite Group DatabasebetaFinite Group Databasebeta| order | 33516 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×#26013844 |
| derived, Hall | C72×C19 ⋊ C32×C4 |
| Hall | C3×#14584115 ⋊ C4 |
| Hall | C72×Dic19 ⋊ C32 |
| Hall | Dic19 ⋊ C3×#3861 |
| Sylow | C72 ⋊ C3×(C19⋊C3)⋊C4 |
| Sylow | C19 ⋊ C3×C4×#3861 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11172 |
1110 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33516, 669);