Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×#13089685 |
| Sylow | C181 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
490 conjugacy classes — view the full character table.
| maximal subgroup of | D8×#13089685, #37549301, SD16×#13089685, … |
| maximal normal subgroup of | D8×#13089685, #37549301, SD16×#13089685, … |
| maximal quotient of | D8×#13089685, SD16×#13089685, Q16×#13089685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1575);