Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×C3×#4031 |
| Fitting | C2×C3×C5×C22⋊C4 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#124 |
| Sylow | C5 ⋊ C2×C3×#124 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
204 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10598897, C3×#10604207, #14281246, … |
| maximal normal subgroup of | C3×#10598897, C3×#10604207, #14281246, … |
| maximal quotient of | C2×C3×#64939, C2×C3×#65233, C2×C3×#64958, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9697);