Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C8 · Schur multiplier (H2) = C23 |
| direct product | C5×D3×C4⋊C8 |
| Fitting | C3×C5×C4⋊C8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C4⋊C8 |
| Sylow | C3 ⋊ C2×C5×C4⋊C8 |
276 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×D3×D4⋊C8, D3×#64703, C5×D3×Q8⋊C8, … |
| maximal normal subgroup of | C5×D3×D4⋊C8, D3×#64703, C5×D3×Q8⋊C8, … |
| maximal quotient of | C5×D3×#334, C5×D3×#335, C5×#68527, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4526);