Finite Group DatabasebetaFinite Group Databasebeta| order | 1056 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Dic6×Dic11 |
| Hall | C3×C11 ⋊ C4×Q8 |
| Sylow | C11 ⋊ C4×Dic6 |
| Sylow | C3 ⋊ Q8×Dic11 |
140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1056 |
126 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1056, 270);