Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Hall | C3×C5 ⋊ #387 |
| Sylow | C5 ⋊ #4933 |
| Sylow | C3 ⋊ #65270 |
308 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=f,c^2=e,b^a=be,h^a=h^4,c^b=cf,g^b=g^2132 conjugacy classes — view the full character table.
| maximal subgroup of | #14320369, D5×#4933, D3×#65270, … |
| maximal normal subgroup of | #14320369, D5×#4933, D3×#65270, … |
| maximal quotient of | #14279908, #14279975, #14279976, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2768);