Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D5×#878 |
| Hall | C3×C5 ⋊ C2×C22⋊Q8 |
| Sylow | C5 ⋊ C2×#878 |
| Sylow | C3 ⋊ D5×C22⋊Q8 |
644 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | AGL(1,𝔽5)×#878, #14321920, #14323848, … |
| maximal normal subgroup of | AGL(1,𝔽5)×#878, #14321920, #14323848, … |
| maximal quotient of | D5×#4942, D5×#4946, D5×#4950, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7021);