Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Hall | C3×C5 ⋊ #504 |
| Sylow | C5 ⋊ #5140 |
| Sylow | C3 ⋊ #65791 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=d,d^2=e,e^2=f,g^a=g^2,h^a=h^3,c^b=cf,h^d=h^490 conjugacy classes — view the full character table.
| maximal subgroup of | #14315196, #14315198, #14315225, … |
| maximal normal subgroup of | #14315196, #14315198, #14315225, … |
| maximal quotient of | #14312646, #14312864, #14314366, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6645);