Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #551 |
| Sylow | C5 ⋊ #5527 |
| Sylow | C3 ⋊ #65992 |
496 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=e,d^2=f,c^a=cf,h^a=h^4,c^b=cf,d^b=def,g^b=g^2105 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#65992, D5×#5527, #14483272, … |
| maximal normal subgroup of | D3×#65992, D5×#5527, #14483272, … |
| maximal quotient of | #14326272, #14326305, #14326434, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8657);