Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153877 |
| Sylow | C181 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
742 conjugacy classes — view the full character table.
| maximal subgroup of | #37548818, #37548819, C4×#19153877, … |
| maximal normal subgroup of | #37548818, #37548819, C4×#19153877, … |
| maximal quotient of | C2×#26042124, C2×#26042125, #37548963, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1533);