Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Hall | C3×C5 ⋊ #391 |
| Sylow | C5 ⋊ #4646 |
| Sylow | C3 ⋊ #65218 |
372 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=e,b^2=e,c^2=d,b^a=be,c^a=cf,h^a=h^4,g^b=g^2144 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#4646, #14320937, D3×#65218, … |
| maximal normal subgroup of | D5×#4646, #14320937, D3×#65218, … |
| maximal quotient of | #14279939, #14279972, #14279973, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3129);