Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153885 |
| unambiguous semidirect product | D181⋊#107 |
| Fitting | C2×C8×C181 ⋊ C4 |
| Sylow | C181 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
748 conjugacy classes — view the full character table.
| maximal subgroup of | #37548778, #37548779, #37548796, … |
| maximal normal subgroup of | #37548778, #37548779, #37548796, … |
| maximal quotient of | C2×#26042142, D181⋊#335, C2×#26042143, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1558);