Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×#13089685 |
| derived, Sylow | C181 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
784 conjugacy classes — view the full character table.
| maximal subgroup of | #37548543, #37548554, #37548557, … |
| maximal normal subgroup of | #37548543, #37548554, #37548557, … |
| maximal quotient of | C2×C8×#13089685, C2×#26042120, M16×#13089685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1504);