Extensions 1→N→G→Q→1 with N=D8 and Q=C2

Direct product G=N×Q with N=D8 and Q=C2
dρLabelID
C2×D816C2xD832,39

Semidirect products G=N:Q with N=D8 and Q=C2
extensionφ:Q→Out NdρLabelID
D81C2 = D16φ: C2/C1C2 ⊆ Out D8162+D8:1C232,18
D82C2 = C8⋊C22φ: C2/C1C2 ⊆ Out D884+D8:2C232,43
D83C2 = C4○D8φ: trivial image162D8:3C232,42

Non-split extensions G=N.Q with N=D8 and Q=C2
extensionφ:Q→Out NdρLabelID
D8.C2 = SD32φ: C2/C1C2 ⊆ Out D8162D8.C232,19

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