Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#13089685 |
| Sylow | C181 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
760 conjugacy classes — view the full character table.
| maximal subgroup of | #37548551, #37548557, #37548567, … |
| maximal normal subgroup of | #37548551, #37548557, #37548567, … |
| maximal quotient of | C2×#26042140, C2×#26042142, #37549268, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1549);