Finite Group DatabasebetaFinite Group Databasebeta| order | 33516 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×#5997⋊C9 |
| unambiguous semidirect product | #5997⋊(C9×C19) |
| derived, Sylow | C72 ⋊ C4×C9×C19 |
| Hall | C19×#89204 ⋊ C4 |
| Hall | C19×#5997 ⋊ C9 |
| Hall | C72×C19 ⋊ C4×C9 |
| Hall | #89204 ⋊ C4×C19 |
| Hall | #5997 ⋊ C9×C19 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2394 |
912 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33516, 396);