Finite Group DatabasebetaFinite Group Databasebeta| order | 1584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×#10587138 |
| Hall | C32×C11 ⋊ M16 |
| Sylow | C11 ⋊ C3×#208 |
| Sylow | C32 ⋊ #4313 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 264 |
234 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1584, 171);