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.F580C2xC2^2.F5160,211

Semidirect products G=N:Q with N=C22.F5 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.F5:1C2 = C23.F5φ: C2/C1C2 ⊆ Out C22.F5404C2^2.F5:1C2160,88
C22.F5:2C2 = D4.F5φ: C2/C1C2 ⊆ Out C22.F5808-C2^2.F5:2C2160,206
C22.F5:3C2 = D5:M4(2)φ: trivial image404C2^2.F5:3C2160,202

Non-split extensions G=N.Q with N=C22.F5 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.F5.C2 = Dic5.D4φ: C2/C1C2 ⊆ Out C22.F5804-C2^2.F5.C2160,80

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