Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | D3×#4016 |
| Hall | C3×C5 ⋊ C2×#125 |
| Sylow | C5 ⋊ D3×#125 |
| Sylow | C3 ⋊ C2×#4016 |
452 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 160 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
138 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64685, #14284094, #14284106, … |
| maximal normal subgroup of | D3×#64685, #14284094, #14284106, … |
| maximal quotient of | D3×#65225, D3×#65222, D3×#65217, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6805);