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

Direct product G=NxQ with N=D4 and Q=C42
dρLabelID
D4xC4264D4xC4^2128,1003

Semidirect products G=N:Q with N=D4 and Q=C42
extensionφ:Q→Out NdρLabelID
D4:1C42 = C4xC4wrC2φ: C42/C2xC4C2 ⊆ Out D432D4:1C4^2128,490
D4:2C42 = C4xD4:C4φ: C42/C2xC4C2 ⊆ Out D464D4:2C4^2128,492
D4:3C42 = D4:C42φ: C42/C2xC4C2 ⊆ Out D464D4:3C4^2128,494
D4:4C42 = D4:4C42φ: 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/C2xC4C2 ⊆ Out D432D4.1C4^2128,491
D4.2C42 = Q8.C42φ: C42/C2xC4C2 ⊆ Out D432D4.2C4^2128,496
D4.3C42 = D4.3C42φ: C42/C2xC4C2 ⊆ Out D432D4.3C4^2128,497
D4.4C42 = C4xC8oD4φ: trivial image64D4.4C4^2128,1606
D4.5C42 = D4.5C42φ: trivial image64D4.5C4^2128,1607

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