Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C5 ⋊ #5398 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^4,3,5,2^2|a^2=d,b^2=cd,c^2=d,b^a=bc,c^a=cd,e^a=e^2,f^a=f^4,g^a=h,h^a=g,g^e=h,h^e=gh86 conjugacy classes — view the full character table.
| maximal subgroup of | #14511721, #14511723, #14511729, … |
| maximal normal subgroup of | #14511721, #14511723, #14511729, … |
| maximal quotient of | #14511927, #14511928, #14511930, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6312);