Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C2×C3×#4078 |
| Fitting | C22×C3×C5×D4 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×AGL(1,ℤ/8) |
| Sylow | C5 ⋊ C2×C3×AGL(1,ℤ/8) |
596 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
186 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10601121, C3×#10600456, #14301336, … |
| maximal normal subgroup of | C3×#10601121, C3×#10600456, #14301336, … |
| maximal quotient of | C2×C3×#65504, C2×C3×#65255, C2×C3×#65253, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9999);