Extensions 1→N→G→Q→1 with N=C2xA4 and Q=Dic5

Direct product G=NxQ with N=C2xA4 and Q=Dic5
dρLabelID
C2xA4xDic5120C2xA4xDic5480,1044

Semidirect products G=N:Q with N=C2xA4 and Q=Dic5
extensionφ:Q→Out NdρLabelID
(C2xA4):Dic5 = C2xA4:Dic5φ: Dic5/C10C2 ⊆ Out C2xA4120(C2xA4):Dic5480,1033

Non-split extensions G=N.Q with N=C2xA4 and Q=Dic5
extensionφ:Q→Out NdρLabelID
(C2xA4).Dic5 = C20.S4φ: Dic5/C10C2 ⊆ Out C2xA41206(C2xA4).Dic5480,259
(C2xA4).2Dic5 = A4xC5:2C8φ: trivial image1206(C2xA4).2Dic5480,265

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