Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D15×C22⋊Q8 |
| Fitting | C3×C5×C22⋊Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C22⋊Q8 |
| Sylow | C5 ⋊ D3×C22⋊Q8 |
| Sylow | C3 ⋊ D5×C22⋊Q8 |
644 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
126 conjugacy classes — view the full character table.
| maximal subgroup of | D15×#328, #14282725, #14283152, … |
| maximal normal subgroup of | D15×#328, #14282725, #14283152, … |
| maximal quotient of | D15×#380, D15×#385, D15×#387, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10580);