Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C2×C3×#4061 |
| Fitting | C2×C3×C5×SD16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#137 |
| Sylow | C5 ⋊ C2×C3×#137 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
150 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10604826, #14302258, C3×#10604820, … |
| maximal normal subgroup of | C3×#10604826, #14302258, C3×#10604820, … |
| maximal quotient of | C2×C3×#65091, C2×C3×#65060, C2×C3×#65150, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9966);