Finite Group DatabasebetaFinite Group Databasebeta| order | 33516 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4×C7 · Schur multiplier (H2) = C3 |
| direct product | C32×C7×Dic133 |
| derived | C7×C19 ⋊ C32×C4×C7 |
| Hall | C32×C72×C19 ⋊ C4 |
| Hall | C72×C19 ⋊ C32×C4 |
| Hall | C32×C72 ⋊ Dic19 |
| Hall | C32×C19 ⋊ C7×Dic7 |
| Sylow | C72 ⋊ C32×Dic19 |
| Sylow | C19 ⋊ C32×C7×Dic7 |
216 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4788 |
8568 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33516, 771);