Finite Group DatabasebetaFinite Group Databasebeta| order | 1584 |
| isoclinism | isoclinic class of D33 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C42 · Schur multiplier (H2) = C4 |
| direct product | C3×C4×Dic33 |
| derived | C3×C11 ⋊ C3×C42 |
| Hall | C32×C11 ⋊ C42 |
| Sylow | C11 ⋊ C3×C4×Dic3 |
| Sylow | C32 ⋊ C4×Dic11 |
136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 528 |
432 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1584, 315);