Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Hall | C3×C5 ⋊ #340 |
| Sylow | C5 ⋊ #4529 |
| Sylow | C3 ⋊ #64749 |
228 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=d,e^2=f,b^a=be,e^a=ef,h^a=h^4,e^b=ef,g^b=g^2120 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#4529, D3×#64749, #14294542, … |
| maximal normal subgroup of | D5×#4529, D3×#64749, #14294542, … |
| maximal quotient of | #14276755, #14276803, #14276806, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 174);