Finite Group DatabasebetaFinite Group Databasebeta| order | 1584 |
| isoclinism | isoclinic class of D33 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C8 · Schur multiplier (H2) = C2 |
| direct product | C2×C3×C3⋊(C11⋊C8) |
| unambiguous semidirect product | (C2×C3)⋊(C3×C11⋊C8) |
| unambiguous semidirect product | (C2×C11)⋊(C3×C3⋊C8) |
| derived | C3×C11 ⋊ C2×C3×C8 |
| Hall | C32×C11 ⋊ C2×C8 |
| Sylow | C11 ⋊ C2×C3×C3⋊C8 |
| Sylow | C32 ⋊ C2×C11⋊C8 |
104 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, 313);