Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Hall | C3×C5 ⋊ #387 |
| Sylow | C5 ⋊ #4980 |
| Sylow | C3 ⋊ #64941 |
308 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=f,b^2=d,c^2=e,b^a=be,c^a=cf,h^a=h^4,c^b=cf,g^b=g^2120 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64941, #14320372, D5×#4980, … |
| maximal normal subgroup of | D3×#64941, #14320372, D5×#4980, … |
| maximal quotient of | #14279909, #14279971, #14279980, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2796);