Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C3×C5×#95 ⋊ C2 |
| Hall | C3×C5 ⋊ #388 |
| Sylow | C5 ⋊ #4669 |
| Sylow | C3 ⋊ #64958 |
380 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=e,c^2=d,b^a=bf,c^a=ce,g^a=g^2,h^a=h^4,c^b=cf168 conjugacy classes — view the full character table.
| maximal subgroup of | D15×#388, C2×#11750770, D5×#4669, … |
| maximal normal subgroup of | D15×#388, C2×#11750770, D5×#4669, … |
| maximal quotient of | #14279888, #14279950, #14280003, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4965);