Extensions 1→N→G→Q→1 with N=C4 and Q=Dic5

Direct product G=NxQ with N=C4 and Q=Dic5
dρLabelID
C4xDic580C4xDic580,11

Semidirect products G=N:Q with N=C4 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C4:Dic5 = C4:Dic5φ: Dic5/C10C2 ⊆ Aut C480C4:Dic580,13

Non-split extensions G=N.Q with N=C4 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C4.Dic5 = C4.Dic5φ: Dic5/C10C2 ⊆ Aut C4402C4.Dic580,10
C4.2Dic5 = C5:2C16central extension (φ=1)802C4.2Dic580,1
C4.3Dic5 = C2xC5:2C8central extension (φ=1)80C4.3Dic580,9

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