Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | D3×#3961 |
| Hall | C3×C5 ⋊ C2×Q32 |
| Sylow | C5 ⋊ D3×Q32 |
| Sylow | C3 ⋊ C2×#3961 |
164 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 52 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
75 conjugacy classes — view the full character table.
| maximal subgroup of | D3×D5×Q32, C2×D3×#3961, D3×#65205, … |
| maximal normal subgroup of | D3×D5×Q32, C2×D3×#3961, D3×#65205, … |
| maximal quotient of | D3×#64712, D3×#64784, D3×#64709, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2491);