Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #563 |
| Sylow | C5 ⋊ #5699 |
| Sylow | C3 ⋊ #66069 |
392 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=f,b^2=f,c^2=e,d^2=ef,b^a=be,d^a=df,h^a=h^4,c^b=cf,g^b=g^2,d^c=def81 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#66069, D5×#5699, #14495396, … |
| maximal normal subgroup of | D3×#66069, D5×#5699, #14495396, … |
| maximal quotient of | #14330752, #14330812, #14331026, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7587);