Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C24×C4 |
| direct product | C3×D5×#124 |
| Fitting | C3×C5×#124 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#124 |
| Sylow | C5 ⋊ C2×C3×#124 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | C3×D5×#329, C3×D5⋊#329, D5⋊#4540, … |
| maximal normal subgroup of | C3×D5×#329, C3×D5⋊#329, D5⋊#4540, … |
| maximal quotient of | C3×D5×#382, C3×D5×#388, C3×D5×#390, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9879);