Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | D5×#926 |
| Hall | C3×C5 ⋊ C2×#117 |
| Sylow | C5 ⋊ C2×#926 |
| Sylow | C3 ⋊ D5×#117 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#4531, D5×#4557, #14294407, … |
| maximal normal subgroup of | D5×#4531, D5×#4557, #14294407, … |
| maximal quotient of | D5×#4932, C4×D5×#217, C4×D5×C4⋊Dic3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8588);