Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D3×#3969 |
| Hall | C3×C5 ⋊ C2×#104 |
| Sylow | C5 ⋊ D3×#104 |
| Sylow | C3 ⋊ C2×#3969 |
340 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 92 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 120 |
102 conjugacy classes — view the full character table.
| maximal subgroup of | D3×D5×#104, C2×D3×#3969, D3×#65110, … |
| maximal normal subgroup of | D3×D5×#104, C2×D3×#3969, D3×#65110, … |
| maximal quotient of | D3×D4⋊#168, D3×Q8⋊#168, #14281585, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3623);