Finite Group DatabasebetaFinite Group Databasebeta| order | 1056 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | D3×D88 |
| Fitting | C3×C8×C11 ⋊ C22 |
| Hall | C3×C11 ⋊ C2×D8 |
| Sylow | C11 ⋊ D3×D8 |
| Sylow | C3 ⋊ C2×D88 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 264 |
141 conjugacy classes — view the full character table.
| maximal subgroup of | D3×D88⋊C5, D3×D8×D11, D3×#66961, … |
| maximal normal subgroup of | D3×D88⋊C5, D3×D8×D11, D3×#66961, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1056, 240);