Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153871 |
| Sylow | C181 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
760 conjugacy classes — view the full character table.
| maximal subgroup of | #37548560, #37548597, #37548616, … |
| maximal normal subgroup of | #37548560, #37548597, #37548616, … |
| maximal quotient of | C2×#13089685⋊C8, #37548928, #37548934, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1507);