Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ #499 |
| Sylow | C5 ⋊ #4683 |
| Sylow | C3 ⋊ #64972 |
172 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=e,b^2=ef,c^2=d,d^2=f,b^a=be,c^a=cd,d^a=df,g^a=g^2,h^a=h^4246 conjugacy classes — view the full character table.
| maximal subgroup of | #14278487, #14278493, #14278499, … |
| maximal normal subgroup of | #14278487, #14278493, #14278499, … |
| maximal quotient of | #14299107, #14305048, #14305093, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4979);