Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×#19153873 |
| Sylow | C181 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
760 conjugacy classes — view the full character table.
| maximal subgroup of | #37548562, #37548594, #37548604, … |
| maximal normal subgroup of | #37548562, #37548594, #37548604, … |
| maximal quotient of | C2×#26042123, C2×#26042125, #37548954, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1518);