DyTiFe5Co6 crystallizes in the orthorhombic Imm2 space group. Dy(1) is bonded in a 20-coordinate geometry to one Ti(1), two equivalent Fe(2), eight equivalent Fe(1), one Co(4), two equivalent Co(2), two equivalent Co(3), and four equivalent Co(1) atoms. Ti(1) is bonded in a 14-coordinate geometry to one Dy(1), four equivalent Fe(1), one Co(4), two equivalent Co(1), two equivalent Co(2), and four equivalent Co(3) atoms. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent Dy(1), one Ti(1), one Fe(2), two equivalent Fe(1), one Co(2), one Co(4), two equivalent Co(1), and two equivalent Co(3) atoms to form distorted FeDy2TiFe3Co6 cuboctahedra that share corners with two equivalent Fe(2)Dy2Fe4Co6 cuboctahedra, corners with ten equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra,  an edgeedge with one Fe(2)Dy2Fe4Co6 cuboctahedra, edges with four equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra, faces with two equivalent Fe(2)Dy2Fe4Co6 cuboctahedra, and faces with six equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra. In the second Fe site, Fe(2) is bonded to two equivalent Dy(1), four equivalent Fe(1), two equivalent Co(1), two equivalent Co(3), and two equivalent Co(4) atoms to form FeDy2Fe4Co6 cuboctahedra that share corners with eight equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra, edges with two equivalent Fe(2)Dy2Fe4Co6 cuboctahedra, edges with four equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra, and faces with eight equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a 12-coordinate geometry to two equivalent Dy(1), one Ti(1), one Fe(2), four equivalent Fe(1), one Co(2), one Co(4), and two equivalent Co(3) atoms. In the second Co site, Co(2) is bonded in a 12-coordinate geometry to two equivalent Dy(1), two equivalent Ti(1), four equivalent Fe(1), two equivalent Co(1), and two equivalent Co(3) atoms. In the third Co site, Co(3) is bonded in a 14-coordinate geometry to one Dy(1), two equivalent Ti(1), one Fe(2), four equivalent Fe(1), one Co(2), one Co(3), two equivalent Co(1), and two equivalent Co(4) atoms. In the fourth Co site, Co(4) is bonded in a 1-coordinate geometry to one Dy(1), one Ti(1), two equivalent Fe(2), four equivalent Fe(1), two equivalent Co(1), and four equivalent Co(3) atoms.
DyTiFe5Co6 crystallizes in the orthorhombic Imm2 space group. Dy(1) is bonded in a 20-coordinate geometry to one Ti(1), two equivalent Fe(2), eight equivalent Fe(1), one Co(4), two equivalent Co(2), two equivalent Co(3), and four equivalent Co(1) atoms. The Dy(1)-Ti(1) bond length is 3.17 Å. Both Dy(1)-Fe(2) bond lengths are 3.02 Å. There are four shorter (3.20 Å) and four longer (3.21 Å) Dy(1)-Fe(1) bond lengths. The Dy(1)-Co(4) bond length is 2.90 Å. Both Dy(1)-Co(2) bond lengths are 3.02 Å. Both Dy(1)-Co(3) bond lengths are 3.02 Å. All Dy(1)-Co(1) bond lengths are 3.00 Å. Ti(1) is bonded in a 14-coordinate geometry to one Dy(1), four equivalent Fe(1), one Co(4), two equivalent Co(1), two equivalent Co(2), and four equivalent Co(3) atoms. All Ti(1)-Fe(1) bond lengths are 2.65 Å. The Ti(1)-Co(4) bond length is 2.31 Å. Both Ti(1)-Co(1) bond lengths are 2.57 Å. Both Ti(1)-Co(2) bond lengths are 2.67 Å. All Ti(1)-Co(3) bond lengths are 2.84 Å. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent Dy(1), one Ti(1), one Fe(2), two equivalent Fe(1), one Co(2), one Co(4), two equivalent Co(1), and two equivalent Co(3) atoms to form distorted FeDy2TiFe3Co6 cuboctahedra that share corners with two equivalent Fe(2)Dy2Fe4Co6 cuboctahedra, corners with ten equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra,  an edgeedge with one Fe(2)Dy2Fe4Co6 cuboctahedra, edges with four equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra, faces with two equivalent Fe(2)Dy2Fe4Co6 cuboctahedra, and faces with six equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra. The Fe(1)-Fe(2) bond length is 2.43 Å. There is one shorter (2.33 Å) and one longer (2.35 Å) Fe(1)-Fe(1) bond length. The Fe(1)-Co(2) bond length is 2.43 Å. The Fe(1)-Co(4) bond length is 2.55 Å. There is one shorter (2.41 Å) and one longer (2.42 Å) Fe(1)-Co(1) bond length. There is one shorter (2.55 Å) and one longer (2.59 Å) Fe(1)-Co(3) bond length. In the second Fe site, Fe(2) is bonded to two equivalent Dy(1), four equivalent Fe(1), two equivalent Co(1), two equivalent Co(3), and two equivalent Co(4) atoms to form FeDy2Fe4Co6 cuboctahedra that share corners with eight equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra, edges with two equivalent Fe(2)Dy2Fe4Co6 cuboctahedra, edges with four equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra, and faces with eight equivalent Fe(1)Dy2TiFe3Co6 cuboctahedra. Both Fe(2)-Co(1) bond lengths are 2.67 Å. Both Fe(2)-Co(3) bond lengths are 2.57 Å. Both Fe(2)-Co(4) bond lengths are 2.55 Å. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a 12-coordinate geometry to two equivalent Dy(1), one Ti(1), one Fe(2), four equivalent Fe(1), one Co(2), one Co(4), and two equivalent Co(3) atoms. The Co(1)-Co(2) bond length is 2.67 Å. The Co(1)-Co(4) bond length is 2.68 Å. Both Co(1)-Co(3) bond lengths are 2.61 Å. In the second Co site, Co(2) is bonded in a 12-coordinate geometry to two equivalent Dy(1), two equivalent Ti(1), four equivalent Fe(1), two equivalent Co(1), and two equivalent Co(3) atoms. Both Co(2)-Co(3) bond lengths are 2.62 Å. In the third Co site, Co(3) is bonded in a 14-coordinate geometry to one Dy(1), two equivalent Ti(1), one Fe(2), four equivalent Fe(1), one Co(2), one Co(3), two equivalent Co(1), and two equivalent Co(4) atoms. The Co(3)-Co(3) bond length is 2.42 Å. Both Co(3)-Co(4) bond lengths are 2.92 Å. In the fourth Co site, Co(4) is bonded in a 1-coordinate geometry to one Dy(1), one Ti(1), two equivalent Fe(2), four equivalent Fe(1), two equivalent Co(1), and four equivalent Co(3) atoms.