Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C5×D3×C4⋊Q8 |
| Fitting | C3×C5×C4⋊Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C4⋊Q8 |
| Sylow | C3 ⋊ C2×C5×C4⋊Q8 |
580 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
210 conjugacy classes — view the full character table.
| maximal subgroup of | C5×D3×#332, D3×#64767, C5×D3×#333, … |
| maximal normal subgroup of | C5×D3×#332, D3×#64767, C5×D3×#333, … |
| maximal quotient of | C5×D3×#384, C5×D3×#389, C5×D3×#391, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10303);