Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19153835 |
| Fitting | C2×D8×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37535425, #37535430, #37535467, … |
| maximal normal subgroup of | #37535425, #37535430, #37535467, … |
| maximal quotient of | C2×#26041272, C2×#26041316, C2×D8×Dic181, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1328);