Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic716 |
| Sylow | C179 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
2876 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506963, #37506965, #37506969, … |
| maximal normal subgroup of | #37506963, #37506965, #37506969, … |
| maximal quotient of | C8×Dic716, #37507852, #37507898, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 645);