Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D3×#4065 |
| Fitting | C3×C5×Q16 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#135 |
| Sylow | C5 ⋊ D3×#135 |
| Sylow | C3 ⋊ C2×#4065 |
532 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 130 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
84 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64909, #14314075, D3×#64907, … |
| maximal normal subgroup of | D3×#64909, #14314075, D3×#64907, … |
| maximal quotient of | D3×#65093, D3×#65169, D3×#65161, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8298);