Extensions 1→N→G→Q→1 with N=A5:C4 and Q=C2

Direct product G=NxQ with N=A5:C4 and Q=C2
dρLabelID
C2xA5:C424C2xA5:C4480,952

Semidirect products G=N:Q with N=A5:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
A5:C4:C2 = C22:S5φ: C2/C1C2 ⊆ Out A5:C4206+A5:C4:C2480,951
A5:C4:2C2 = C4xS5φ: trivial image204A5:C4:2C2480,943

Non-split extensions G=N.Q with N=A5:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
A5:C4.C2 = A5:Q8φ: C2/C1C2 ⊆ Out A5:C4246A5:C4.C2480,945

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