Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | D5×#885 |
| Fitting | C3×C5×C22⋊C4 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#124 |
| Sylow | C5 ⋊ C2×#885 |
| Sylow | C3 ⋊ D5×#124 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | AGL(1,𝔽5)×#885, #14322037, #14324287, … |
| maximal normal subgroup of | AGL(1,𝔽5)×#885, #14322037, #14324287, … |
| maximal quotient of | D5×#4650, D5×#4944, D5×#4670, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7417);