Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of D3×D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C22×D3×#168 |
| derived, Hall | C3×C5 ⋊ C23×C8 |
| Sylow | C5 ⋊ C22×D3×C8 |
| Sylow | C3 ⋊ C23×#168 |
676 conjugacy classes of subgroups; only the 352 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 352 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
192 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64770, D3×#64744, #14294355, … |
| maximal normal subgroup of | D3×#64770, D3×#64744, #14294355, … |
| maximal quotient of | C2×C4×D3×#168, C22×Dic3×#168, C2×D3×C22⋊#168, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8316);