Finite Group DatabasebetaFinite Group Databasebeta| order | 1056 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | D11×D24 |
| Fitting | C3×C8×C11 ⋊ C22 |
| Hall | C3×C11 ⋊ C2×D8 |
| Sylow | C11 ⋊ C2×D24 |
| Sylow | C3 ⋊ D8×D11 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 264 |
105 conjugacy classes — view the full character table.
| maximal subgroup of | D24×AGL(1,𝔽11), D3×D8×D11, D11×#908, … |
| maximal normal subgroup of | D24×AGL(1,𝔽11), D3×D8×D11, D11×#908, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1056, 235);