Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153890 |
| Sylow | C181 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
760 conjugacy classes — view the full character table.
| maximal subgroup of | #37548762, #37548763, #37548765, … |
| maximal normal subgroup of | #37548762, #37548763, #37548765, … |
| maximal quotient of | C2×#26042167, C4×#19153890, C2×C22⋊#15668452, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1604);