Extensions 1→N→G→Q→1 with N=C5 and Q=C4xC16

Direct product G=NxQ with N=C5 and Q=C4xC16
dρLabelID
C4xC80320C4xC80320,150

Semidirect products G=N:Q with N=C5 and Q=C4xC16
extensionφ:Q→Aut NdρLabelID
C5:1(C4xC16) = C16xF5φ: C4xC16/C16C4 ⊆ Aut C5804C5:1(C4xC16)320,181
C5:2(C4xC16) = C4xC5:C16φ: C4xC16/C42C4 ⊆ Aut C5320C5:2(C4xC16)320,195
C5:3(C4xC16) = Dic5:C16φ: C4xC16/C2xC8C4 ⊆ Aut C5320C5:3(C4xC16)320,223
C5:4(C4xC16) = C4xC5:2C16φ: C4xC16/C4xC8C2 ⊆ Aut C5320C5:4(C4xC16)320,18
C5:5(C4xC16) = C16xDic5φ: C4xC16/C2xC16C2 ⊆ Aut C5320C5:5(C4xC16)320,58


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