Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C5×D3×AGL(1,ℤ/8) |
| Fitting | C3×C5×AGL(1,ℤ/8) ⋊ 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) = 120 |
165 conjugacy classes — view the full character table.
| maximal subgroup of | C5×D3×#453, D3×#65487, C5×D3×#454, … |
| maximal normal subgroup of | C5×D3×#453, D3×#65487, C5×D3×#454, … |
| maximal quotient of | C5×D3×#418, C5×D3×#417, C5×D3×#428, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10352);