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 ⋊ #65429 |
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^4,c^b=cf180 conjugacy classes — view the full character table.
| maximal subgroup of | #14315182, #14315191, #14315208, … |
| maximal normal subgroup of | #14315182, #14315191, #14315208, … |
| maximal quotient of | #14312636, #14312859, #14314361, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 5436);