Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | D5×#890 |
| Hall | C3×C5 ⋊ C2×#125 |
| Sylow | C5 ⋊ C2×#890 |
| Sylow | C3 ⋊ D5×#125 |
452 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | #14307270, #14307271, #14307335, … |
| maximal normal subgroup of | #14307270, #14307271, #14307335, … |
| maximal quotient of | D5×#4977, D5×#4654, D5×#4655, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7692);