Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | Dic3×#711 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C5 ⋊ Dic3×#41 |
| Sylow | C3 ⋊ C4×#711 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | Dic3×#4008, #14295678, #14297855, … |
| maximal normal subgroup of | Dic3×#4008, #14295678, #14297855, … |
| maximal quotient of | Dic3×#4023, Dic3×#4038, Dic3×#4027, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9063);