Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×C8

Direct product G=N×Q with N=Q8 and Q=C2×C8
dρLabelID
Q8×C2×C8128Q8xC2xC8128,1690

Semidirect products G=N:Q with N=Q8 and Q=C2×C8
extensionφ:Q→Out NdρLabelID
Q81(C2×C8) = C8×SD16φ: C2×C8/C8C2 ⊆ Out Q864Q8:1(C2xC8)128,308
Q82(C2×C8) = SD16⋊C8φ: C2×C8/C8C2 ⊆ Out Q864Q8:2(C2xC8)128,310
Q83(C2×C8) = C2×Q8⋊C8φ: C2×C8/C2×C4C2 ⊆ Out Q8128Q8:3(C2xC8)128,207
Q84(C2×C8) = C42.455D4φ: C2×C8/C2×C4C2 ⊆ Out Q864Q8:4(C2xC8)128,208
Q85(C2×C8) = C42.397D4φ: C2×C8/C2×C4C2 ⊆ Out Q864Q8:5(C2xC8)128,209
Q86(C2×C8) = C8×C4○D4φ: trivial image64Q8:6(C2xC8)128,1696
Q87(C2×C8) = C42.697C23φ: trivial image64Q8:7(C2xC8)128,1720

Non-split extensions G=N.Q with N=Q8 and Q=C2×C8
extensionφ:Q→Out NdρLabelID
Q8.1(C2×C8) = C8×Q16φ: C2×C8/C8C2 ⊆ Out Q8128Q8.1(C2xC8)128,309
Q8.2(C2×C8) = Q165C8φ: C2×C8/C8C2 ⊆ Out Q8128Q8.2(C2xC8)128,311
Q8.3(C2×C8) = C16○D8φ: C2×C8/C8C2 ⊆ Out Q8322Q8.3(C2xC8)128,902
Q8.4(C2×C8) = D8.C8φ: C2×C8/C8C2 ⊆ Out Q8324Q8.4(C2xC8)128,903
Q8.5(C2×C8) = C42.399D4φ: C2×C8/C2×C4C2 ⊆ Out Q864Q8.5(C2xC8)128,211
Q8.6(C2×C8) = C2×D4.C8φ: C2×C8/C2×C4C2 ⊆ Out Q864Q8.6(C2xC8)128,848
Q8.7(C2×C8) = M5(2)⋊12C22φ: C2×C8/C2×C4C2 ⊆ Out Q8324Q8.7(C2xC8)128,849
Q8.8(C2×C8) = C42.695C23φ: trivial image64Q8.8(C2xC8)128,1714
Q8.9(C2×C8) = C2×D4○C16φ: trivial image64Q8.9(C2xC8)128,2138
Q8.10(C2×C8) = Q8○M5(2)φ: trivial image324Q8.10(C2xC8)128,2139

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