Finite Group DatabasebetaFinite Group Databasebeta| order | 33516 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×#13183531 |
| derived, Sylow | C72 ⋊ C4×C9×C19 |
| Hall | C19×#89205 ⋊ C4 |
| Hall | C7×C19×Dic7 ⋊ C9 |
| Hall | C72×C19 ⋊ C4×C9 |
| Hall | #89205 ⋊ C4×C19 |
| Hall | C7×Dic7 ⋊ C9×C19 |
80 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4788 |
1938 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33516, 289);