Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D3×#4061 |
| Fitting | C3×C5×SD16 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#137 |
| Sylow | C5 ⋊ D3×#137 |
| Sylow | C3 ⋊ C2×#4061 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
75 conjugacy classes — view the full character table.
| maximal subgroup of | D3×D5×#137, C2×D3×#4061, D3×#66107, … |
| maximal normal subgroup of | D3×D5×#137, C2×D3×#4061, D3×#66107, … |
| maximal quotient of | D3×#65091, D3×#65060, D3×#65150, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8264);