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 ⋊ #66016 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,c^2=e,c^a=cf,d^a=de,h^a=h^4,d^b=df,g^b=g^2,d^c=def84 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#5669, D3×#66016, C2×#11752983, … |
| maximal normal subgroup of | D5×#5669, D3×#66016, C2×#11752983, … |
| maximal quotient of | #14322774, #14323177, #14323275, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7178);