Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ #386 |
| Sylow | C5 ⋊ #4956 |
| Sylow | C3 ⋊ #64954 |
572 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=e,c^2=d,b^a=be,c^a=cf,h^a=h^4,c^b=cf,g^b=g^2120 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#4956, D3×#64954, #14320302, … |
| maximal normal subgroup of | D5×#4956, D3×#64954, #14320302, … |
| maximal quotient of | #14279873, #14279974, #14280016, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3112);