Extensions 1→N→G→Q→1 with N=Q8 and Q=C22×C10

Direct product G=N×Q with N=Q8 and Q=C22×C10

Semidirect products G=N:Q with N=Q8 and Q=C22×C10
extensionφ:Q→Out NdρLabelID
Q81(C22×C10) = SD16×C2×C10φ: C22×C10/C2×C10C2 ⊆ Out Q8160Q8:1(C2^2xC10)320,1572
Q82(C22×C10) = C10×C8⋊C22φ: C22×C10/C2×C10C2 ⊆ Out Q880Q8:2(C2^2xC10)320,1575
Q83(C22×C10) = C4○D4×C2×C10φ: trivial image160Q8:3(C2^2xC10)320,1631
Q84(C22×C10) = C10×2+ 1+4φ: trivial image80Q8:4(C2^2xC10)320,1632

Non-split extensions G=N.Q with N=Q8 and Q=C22×C10
extensionφ:Q→Out NdρLabelID
Q8.1(C22×C10) = Q16×C2×C10φ: C22×C10/C2×C10C2 ⊆ Out Q8320Q8.1(C2^2xC10)320,1573
Q8.2(C22×C10) = C10×C4○D8φ: C22×C10/C2×C10C2 ⊆ Out Q8160Q8.2(C2^2xC10)320,1574
Q8.3(C22×C10) = C10×C8.C22φ: C22×C10/C2×C10C2 ⊆ Out Q8160Q8.3(C2^2xC10)320,1576
Q8.4(C22×C10) = C5×D8⋊C22φ: C22×C10/C2×C10C2 ⊆ Out Q8804Q8.4(C2^2xC10)320,1577
Q8.5(C22×C10) = C5×D4○D8φ: C22×C10/C2×C10C2 ⊆ Out Q8804Q8.5(C2^2xC10)320,1578
Q8.6(C22×C10) = C5×D4○SD16φ: C22×C10/C2×C10C2 ⊆ Out Q8804Q8.6(C2^2xC10)320,1579
Q8.7(C22×C10) = C5×Q8○D8φ: C22×C10/C2×C10C2 ⊆ Out Q81604Q8.7(C2^2xC10)320,1580
Q8.8(C22×C10) = C10×2- 1+4φ: trivial image160Q8.8(C2^2xC10)320,1633
Q8.9(C22×C10) = C5×C2.C25φ: trivial image804Q8.9(C2^2xC10)320,1634