Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C3×#4020 |
| Fitting | C2×C3×C42×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#127 |
| Sylow | C5 ⋊ C2×C3×#127 |
996 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3×#64705, C2×#11745852, C3×#10601567, … |
| maximal normal subgroup of | C2×C3×#64705, C2×#11745852, C3×#10601567, … |
| maximal quotient of | C2×C3×#65224, C2×C3×#65228, C3×C4×#4020, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9681);