Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D3×#4027 |
| Fitting | C3×C5×C22⋊C4 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×C4×D4 |
| Sylow | C5 ⋊ C4×D3×D4 |
| Sylow | C3 ⋊ C2×#4027 |
852 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#65692, D3×#65693, D3×#65694, … |
| maximal normal subgroup of | D3×#65692, D3×#65693, D3×#65694, … |
| maximal quotient of | D3×#64955, D3×C22⋊C4×Dic5, D3×#64938, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7396);