Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153870 |
| Fitting | C2×C8×C181 ⋊ C4 |
| Sylow | C181 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
760 conjugacy classes — view the full character table.
| maximal subgroup of | #37548761, #37548767, #97×#10624382, … |
| maximal normal subgroup of | #37548761, #37548767, #97×#10624382, … |
| maximal quotient of | C2×#26042120, #37548915, C2×#13089685⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1506);