Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C2×C5×#908 |
| Fitting | C2×C3×C5×M16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×AGL(1,ℤ/8) |
| Sylow | C3 ⋊ C2×C5×AGL(1,ℤ/8) |
596 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
210 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#69005, C5×#68776, #14301356, … |
| maximal normal subgroup of | C5×#69005, C5×#68776, #14301356, … |
| maximal quotient of | C2×C5×#5131, C2×C5×#5133, C2×C5×#5121, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10326);