Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ #386 |
| Sylow | C5 ⋊ #4665 |
| Sylow | C3 ⋊ #65245 |
572 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=e,c^2=d,b^a=be,c^a=cef,h^a=h^4,c^b=cf,g^b=g^2120 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#65245, D5×#4665, #14320299, … |
| maximal normal subgroup of | D3×#65245, D5×#4665, #14320299, … |
| maximal quotient of | #14279870, #14279983, #14280014, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3114);