Extensions 1→N→G→Q→1 with N=D4 and Q=C2

Direct product G=NxQ with N=D4 and Q=C2
dρLabelID
C2xD48C2xD416,11

Semidirect products G=N:Q with N=D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:C2 = D8φ: C2/C1C2 ⊆ Out D482+D4:C216,7
D4:2C2 = C4oD4φ: trivial image82D4:2C216,13

Non-split extensions G=N.Q with N=D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.C2 = SD16φ: C2/C1C2 ⊆ Out D482D4.C216,8

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