Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C2×C5×#935 |
| Hall | C3×C5 ⋊ C2×#123 |
| Sylow | C3 ⋊ C2×C5×#123 |
684 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#70023, C5×#71655, #14301687, … |
| maximal normal subgroup of | C5×#70023, C5×#71655, #14301687, … |
| maximal quotient of | C2×C5×#4943, C2×C5×#4946, C2×C5×#5220, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10376);