Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | Dic5×#235 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C5 ⋊ C4×#235 |
| Sylow | C3 ⋊ #41×Dic5 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14281603, #14281605, #14281666, … |
| maximal normal subgroup of | #14281603, #14281605, #14281666, … |
| maximal quotient of | Dic5×#872, Dic5×#926, C4×Dic5×#67, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8603);