Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#15668459 |
| Sylow | C181 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
760 conjugacy classes — view the full character table.
| maximal subgroup of | #37549385, #37549388, C2×#26042149, … |
| maximal normal subgroup of | #37549385, #37549388, C2×#26042149, … |
| maximal quotient of | C22×#19153871, C2×C4×#15668459, C22×#19153873, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1623);