Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D5×#914 |
| Fitting | C3×C5×SD16 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×AGL(1,ℤ/8) |
| Sylow | C5 ⋊ C2×#914 |
| Sylow | C3 ⋊ D5×AGL(1,ℤ/8) |
596 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
72 conjugacy classes — view the full character table.
| maximal subgroup of | AGL(1,𝔽5)×#914, #14416804, #14417145, … |
| maximal normal subgroup of | AGL(1,𝔽5)×#914, #14416804, #14417145, … |
| maximal quotient of | D5×#4770, D5×#4803, D5×#4861, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8260);