Finite Group DatabasebetaFinite Group Databasebeta| order | 33516 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×C19⋊C3×Dic49 |
| derived, Hall | C19×C49 ⋊ C32×C4 |
| Hall | C3×C49×C19⋊C3 ⋊ C4 |
| Hall | C19×Dic49 ⋊ C32 |
| Sylow | C49 ⋊ C3×C4×C19⋊C3 |
| Sylow | C19 ⋊ C32×Dic49 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11172 |
1404 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33516, 93);