Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic181 |
| Sylow | C181 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37535565, D16×Dic181, SD32×Dic181, … |
| maximal normal subgroup of | #37535565, D16×Dic181, SD32×Dic181, … |
| maximal quotient of | D8×#13089678, #37532551, #37532606, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 632);