Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | D5×C3⋊#95 |
| Hall | C3×C5 ⋊ C2×#95 |
| Sylow | C5 ⋊ C2×C3⋊#95 |
| Sylow | C3 ⋊ D5×#95 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14277149, #14277150, AGL(1,𝔽5)×C3⋊#95, … |
| maximal normal subgroup of | #14277149, #14277150, AGL(1,𝔽5)×C3⋊#95, … |
| maximal quotient of | Dic5×C3⋊#95, #14279869, #14279872, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3065);