Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic724 |
| Sylow | C181 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
2908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531684, #37531686, #37531690, … |
| maximal normal subgroup of | #37531684, #37531686, #37531690, … |
| maximal quotient of | C8×Dic724, #37532573, #37532619, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 645);