Extensions 1→N→G→Q→1 with N=Q16 and Q=C2×C10

Direct product G=N×Q with N=Q16 and Q=C2×C10

Semidirect products G=N:Q with N=Q16 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
Q161(C2×C10) = C10×SD32φ: C2×C10/C10C2 ⊆ Out Q16160Q16:1(C2xC10)320,1007
Q162(C2×C10) = C5×C16⋊C22φ: C2×C10/C10C2 ⊆ Out Q16804Q16:2(C2xC10)320,1010
Q163(C2×C10) = C10×C8.C22φ: C2×C10/C10C2 ⊆ Out Q16160Q16:3(C2xC10)320,1576
Q164(C2×C10) = C5×D8⋊C22φ: C2×C10/C10C2 ⊆ Out Q16804Q16:4(C2xC10)320,1577
Q165(C2×C10) = C5×D4○SD16φ: C2×C10/C10C2 ⊆ Out Q16804Q16:5(C2xC10)320,1579
Q166(C2×C10) = C10×C4○D8φ: trivial image160Q16:6(C2xC10)320,1574
Q167(C2×C10) = C5×D4○D8φ: trivial image804Q16:7(C2xC10)320,1578

Non-split extensions G=N.Q with N=Q16 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
Q16.1(C2×C10) = C10×Q32φ: C2×C10/C10C2 ⊆ Out Q16320Q16.1(C2xC10)320,1008
Q16.2(C2×C10) = C5×C4○D16φ: C2×C10/C10C2 ⊆ Out Q161602Q16.2(C2xC10)320,1009
Q16.3(C2×C10) = C5×Q32⋊C2φ: C2×C10/C10C2 ⊆ Out Q161604Q16.3(C2xC10)320,1011
Q16.4(C2×C10) = C5×Q8○D8φ: trivial image1604Q16.4(C2xC10)320,1580