Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic181 |
| Sylow | C181 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37535570, SD32×Dic181, #37535577, … |
| maximal normal subgroup of | #37535570, SD32×Dic181, #37535577, … |
| maximal quotient of | Q16×#13089678, #37532572, #37532618, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 644);