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 ⋊ #5669 |
| Sylow | C3 ⋊ #65868 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,c^2=e,b^a=bf,c^a=cf,d^a=def,h^a=h^4,g^b=g^2,d^c=df96 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#5669, #14481335, D3×#65868, … |
| maximal normal subgroup of | D5×#5669, #14481335, D3×#65868, … |
| maximal quotient of | #14322741, #14323214, #14323311, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7322);