Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C2×C3×#4062 |
| Fitting | C2×C3×C5×SD16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#135 |
| Sylow | C5 ⋊ C2×C3×#135 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10604824, #14300790, C3×#10604825, … |
| maximal normal subgroup of | C3×#10604824, #14300790, C3×#10604825, … |
| maximal quotient of | C2×C3×#65061, C2×C3×#65093, C2×C3×#65149, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9967);