Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #542 |
| Sylow | C5 ⋊ #5640 |
| Sylow | C3 ⋊ #65916 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,c^2=ef,d^2=e,b^a=be,d^a=df,h^a=h^4,g^b=g^2,d^c=de96 conjugacy classes — view the full character table.
| maximal subgroup of | #14481338, D3×#65916, C2×#11753353, … |
| maximal normal subgroup of | #14481338, D3×#65916, C2×#11753353, … |
| maximal quotient of | #14322724, #14323186, #14323292, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7548);