Extensions 1→N→G→Q→1 with N=C4wrC2 and Q=C4

Direct product G=NxQ with N=C4wrC2 and Q=C4
dρLabelID
C4xC4wrC232C4xC4wrC2128,490

Semidirect products G=N:Q with N=C4wrC2 and Q=C4
extensionφ:Q→Out NdρLabelID
C4wrC2:1C4 = C4wrC2:C4φ: C4/C2C2 ⊆ Out C4wrC232C4wrC2:1C4128,591
C4wrC2:2C4 = C42:9(C2xC4)φ: C4/C2C2 ⊆ Out C4wrC232C4wrC2:2C4128,592
C4wrC2:3C4 = M4(2).41D4φ: C4/C2C2 ⊆ Out C4wrC2164C4wrC2:3C4128,593
C4wrC2:4C4 = D4.C42φ: C4/C2C2 ⊆ Out C4wrC232C4wrC2:4C4128,491
C4wrC2:5C4 = D4.3C42φ: C4/C2C2 ⊆ Out C4wrC232C4wrC2:5C4128,497
C4wrC2:6C4 = Q8.C42φ: trivial image32C4wrC2:6C4128,496

Non-split extensions G=N.Q with N=C4wrC2 and Q=C4
extensionφ:Q→Out NdρLabelID
C4wrC2.C4 = D8.C8φ: C4/C2C2 ⊆ Out C4wrC2324C4wrC2.C4128,903
C4wrC2.2C4 = C16oD8φ: trivial image322C4wrC2.2C4128,902

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