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Extensions 1→N→G→Q→1 with N=C22:C4 and Q=C2

Direct product G=NxQ with N=C22:C4 and Q=C2
dρLabelID
C2xC22:C416C2xC2^2:C432,22

Semidirect products G=N:Q with N=C22:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C22:C4:1C2 = C23:C4φ: C2/C1 → C2 ⊆ Out C22:C484+C2^2:C4:1C232,6
C22:C4:2C2 = C22wrC2φ: C2/C1 → C2 ⊆ Out C22:C48C2^2:C4:2C232,27
C22:C4:3C2 = C4:D4φ: C2/C1 → C2 ⊆ Out C22:C416C2^2:C4:3C232,28
C22:C4:4C2 = C22.D4φ: C2/C1 → C2 ⊆ Out C22:C416C2^2:C4:4C232,30
C22:C4:5C2 = C4.4D4φ: C2/C1 → C2 ⊆ Out C22:C416C2^2:C4:5C232,31
C22:C4:6C2 = C4xD4φ: trivial image16C2^2:C4:6C232,25

Non-split extensions G=N.Q with N=C22:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C22:C4.1C2 = C22:Q8φ: C2/C1 → C2 ⊆ Out C22:C416C2^2:C4.1C232,29
C22:C4.2C2 = C42:2C2φ: C2/C1 → C2 ⊆ Out C22:C416C2^2:C4.2C232,33
C22:C4.3C2 = C42:C2φ: trivial image16C2^2:C4.3C232,24

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