Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D5×#935 |
| Hall | C3×C5 ⋊ C2×#123 |
| Sylow | C5 ⋊ C2×#935 |
| Sylow | C3 ⋊ D5×#123 |
684 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | #14301695, #14301696, D5×#4472, … |
| maximal normal subgroup of | #14301695, #14301696, D5×#4472, … |
| maximal quotient of | D5×#4943, D5×#4946, D5×#5220, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8981);