Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic358 |
| Sylow | C179 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506978, #37506980, C8×#15668247, … |
| maximal normal subgroup of | #37506978, #37506980, C8×#15668247, … |
| maximal quotient of | C8×C4⋊Dic179, C8×Dic179⋊C4, #37509556, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 674);