Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D3×C4⋊#168 |
| Hall | C3×C5 ⋊ C2×C4⋊C8 |
| Sylow | C5 ⋊ D3×C4⋊C8 |
| Sylow | C3 ⋊ C2×C4⋊#168 |
276 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 132 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | D3×D4⋊#168, D3×#64679, D3×Q8⋊#168, … |
| maximal normal subgroup of | D3×D4⋊#168, D3×#64679, D3×Q8⋊#168, … |
| maximal quotient of | D3×#64677, D3×#64678, #14285566, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 1187);