Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×#10624382 |
| Fitting | Q16×C181 ⋊ C4 |
| Sylow | C181 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
343 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×#10624382, Q32×#10624382, #37550117, … |
| maximal normal subgroup of | SD32×#10624382, Q32×#10624382, #37550117, … |
| maximal quotient of | Q16×#13089685, #37549308, #37549309, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1587);