Extensions 1→N→G→Q→1 with N=C22:F5 and Q=C2

Direct product G=NxQ with N=C22:F5 and Q=C2
dρLabelID
C2xC22:F540C2xC2^2:F5160,212

Semidirect products G=N:Q with N=C22:F5 and Q=C2
extensionφ:Q→Out NdρLabelID
C22:F5:1C2 = D10.D4φ: C2/C1C2 ⊆ Out C22:F5404+C2^2:F5:1C2160,74
C22:F5:2C2 = C23:F5φ: C2/C1C2 ⊆ Out C22:F5404C2^2:F5:2C2160,86
C22:F5:3C2 = D4xF5φ: C2/C1C2 ⊆ Out C22:F5208+C2^2:F5:3C2160,207

Non-split extensions G=N.Q with N=C22:F5 and Q=C2
extensionφ:Q→Out NdρLabelID
C22:F5.C2 = D10.C23φ: trivial image404C2^2:F5.C2160,205

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