Finite Group DatabasebetaFinite Group Databasebeta| order | 1320 |
| isoclinism | isoclinic class of D3×D11 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C5 · Schur multiplier (H2) = C2 |
| direct product | C5×Dic3×D11 |
| derived, Hall | C3×C11 ⋊ C2×C4×C5 |
| Hall | C3×C5×C11 ⋊ C2×C4 |
| Hall | C5×C11 ⋊ C2×Dic3 |
| Hall | C3×C5 ⋊ C4×D11 |
| Sylow | C11 ⋊ C2×C5×Dic3 |
| Sylow | C3 ⋊ C4×C5×D11 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 660 |
210 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1320, 52);