Finite Group DatabasebetaFinite Group Databasebeta| order | 1056 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8×C11 · Schur multiplier (H2) = C4 |
| direct product | C8×C11×Dic3 |
| derived, Sylow | C3 ⋊ C4×C8×C11 |
| Hall | C3×C11 ⋊ C4×C8 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1056 |
528 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1056, 130);