Extensions 1→N→G→Q→1 with N=Q8 and Q=C42

Direct product G=N×Q with N=Q8 and Q=C42

Semidirect products G=N:Q with N=Q8 and Q=C42
extensionφ:Q→Out NdρLabelID
Q81C42 = C4×C4≀C2φ: C42/C2×C4C2 ⊆ Out Q832Q8:1C4^2128,490
Q82C42 = C4×Q8⋊C4φ: C42/C2×C4C2 ⊆ Out Q8128Q8:2C4^2128,493
Q83C42 = Q8⋊C42φ: C42/C2×C4C2 ⊆ Out Q8128Q8:3C4^2128,495
Q84C42 = Q84C42φ: trivial image128Q8:4C4^2128,1008

Non-split extensions G=N.Q with N=Q8 and Q=C42
extensionφ:Q→Out NdρLabelID
Q8.1C42 = D4.C42φ: C42/C2×C4C2 ⊆ Out Q832Q8.1C4^2128,491
Q8.2C42 = Q8.C42φ: C42/C2×C4C2 ⊆ Out Q832Q8.2C4^2128,496
Q8.3C42 = D4.3C42φ: C42/C2×C4C2 ⊆ Out Q832Q8.3C4^2128,497
Q8.4C42 = C4×C8○D4φ: trivial image64Q8.4C4^2128,1606
Q8.5C42 = D4.5C42φ: trivial image64Q8.5C4^2128,1607