Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | D3×#4031 |
| Fitting | C3×C5×C22⋊C4 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#124 |
| Sylow | C5 ⋊ D3×#124 |
| Sylow | C3 ⋊ C2×#4031 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
102 conjugacy classes — view the full character table.
| maximal subgroup of | D3×D5×#124, C2×D3×#4031, D3×#65983, … |
| maximal normal subgroup of | D3×D5×#124, C2×D3×#4031, D3×#65983, … |
| maximal quotient of | D3×#64939, D3×#65233, D3×#64959, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7442);