Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×#10624382 |
| Fitting | D8×C181 ⋊ C4 |
| Sylow | C181 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
343 conjugacy classes — view the full character table.
| maximal subgroup of | D16×#10624382, SD32×#10624382, #37550117, … |
| maximal normal subgroup of | D16×#10624382, SD32×#10624382, #37550117, … |
| maximal quotient of | D8×#13089685, #37549301, #37549302, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1585);