Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊(C179⋊C8) |
| Sylow | C179 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
2888 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506834, #37506835, #37506840, … |
| maximal normal subgroup of | #37506834, #37506835, #37506840, … |
| maximal quotient of | C2×#26038190, C2×#26038192, #37507748, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 570);