Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×D3×#686 |
| Fitting | C2×C3×C5×D4 ⋊ C22 |
| Hall | C3×C5 ⋊ C22×D8 |
| Sylow | C5 ⋊ C2×D3×D8 |
| Sylow | C3 ⋊ C22×#686 |
676 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 676 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) = 240 |
102 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#65045, C4×D3×#686, D3×#65074, … |
| maximal normal subgroup of | D3×#65045, C4×D3×#686, D3×#65074, … |
| maximal quotient of | C2×D3×#3941, C2×D3×#3964, C2×D3×#3939, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8888);