Finite Group DatabasebetaFinite Group Databasebeta| order | 1584 |
| isoclinism | isoclinic class of D11 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8×C9 · Schur multiplier (H2) = C2 |
| direct product | C8×C9×D11 |
| Fitting | C8×C9×C11 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C8×C9 |
| Hall | C9×C11 ⋊ C2×C8 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 792 |
504 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1584, 31);