Extensions 1→N→G→Q→1 with N=A4:Dic5 and Q=C2

Direct product G=NxQ with N=A4:Dic5 and Q=C2
dρLabelID
C2xA4:Dic5120C2xA4:Dic5480,1033

Semidirect products G=N:Q with N=A4:Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
A4:Dic5:1C2 = C24:2D15φ: C2/C1C2 ⊆ Out A4:Dic5606A4:Dic5:1C2480,1034
A4:Dic5:2C2 = Dic5xS4φ: C2/C1C2 ⊆ Out A4:Dic5606-A4:Dic5:2C2480,976
A4:Dic5:3C2 = D5xA4:C4φ: C2/C1C2 ⊆ Out A4:Dic5606A4:Dic5:3C2480,979
A4:Dic5:4C2 = D10:S4φ: C2/C1C2 ⊆ Out A4:Dic5606A4:Dic5:4C2480,980
A4:Dic5:5C2 = C4xC5:S4φ: trivial image606A4:Dic5:5C2480,1025

Non-split extensions G=N.Q with N=A4:Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
A4:Dic5.1C2 = C20.1S4φ: C2/C1C2 ⊆ Out A4:Dic51206-A4:Dic5.1C2480,1024
A4:Dic5.2C2 = A4:Dic10φ: C2/C1C2 ⊆ Out A4:Dic51206-A4:Dic5.2C2480,975

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