Extensions 1→N→G→Q→1 with N=D4 and Q=C42

Direct product G=N×Q with N=D4 and Q=C42

Semidirect products G=N:Q with N=D4 and Q=C42
extensionφ:Q→Out NdρLabelID
D41C42 = C4×C4≀C2φ: C42/C2×C4C2 ⊆ Out D432D4:1C4^2128,490
D42C42 = C4×D4⋊C4φ: C42/C2×C4C2 ⊆ Out D464D4:2C4^2128,492
D43C42 = D4⋊C42φ: C42/C2×C4C2 ⊆ Out D464D4:3C4^2128,494
D44C42 = D44C42φ: trivial image64D4:4C4^2128,1007

Non-split extensions G=N.Q with N=D4 and Q=C42
extensionφ:Q→Out NdρLabelID
D4.1C42 = D4.C42φ: C42/C2×C4C2 ⊆ Out D432D4.1C4^2128,491
D4.2C42 = Q8.C42φ: C42/C2×C4C2 ⊆ Out D432D4.2C4^2128,496
D4.3C42 = D4.3C42φ: C42/C2×C4C2 ⊆ Out D432D4.3C4^2128,497
D4.4C42 = C4×C8○D4φ: trivial image64D4.4C4^2128,1606
D4.5C42 = D4.5C42φ: trivial image64D4.5C4^2128,1607