Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C5×C8 · Schur multiplier (H2) = C26 |
| direct product | C22×C5×D3×C8 |
| Fitting | C22×C3×C5×C8 ⋊ C2 |
| derived, Sylow | C3 ⋊ C23×C5×C8 |
| Hall | C3×C5 ⋊ C23×C8 |
676 conjugacy classes of subgroups; only the 414 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 414 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
480 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×D3×#336, D3×#64770, C5×#68661, … |
| maximal normal subgroup of | C5×D3×#336, D3×#64770, C5×#68661, … |
| maximal quotient of | C2×C4×C5×D3×C8, C22×C5×C8×Dic3, C2×C5×D3×C22⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10316);