Extensions 1→N→G→Q→1 with N=C5 and Q=C2xC40

Direct product G=NxQ with N=C5 and Q=C2xC40
dρLabelID
C10xC40400C10xC40400,111

Semidirect products G=N:Q with N=C5 and Q=C2xC40
extensionφ:Q→Aut NdρLabelID
C5:1(C2xC40) = C5xD5:C8φ: C2xC40/C20C4 ⊆ Aut C5804C5:1(C2xC40)400,135
C5:2(C2xC40) = C10xC5:C8φ: C2xC40/C2xC10C4 ⊆ Aut C580C5:2(C2xC40)400,139
C5:3(C2xC40) = D5xC40φ: C2xC40/C40C2 ⊆ Aut C5802C5:3(C2xC40)400,76
C5:4(C2xC40) = C10xC5:2C8φ: C2xC40/C2xC20C2 ⊆ Aut C580C5:4(C2xC40)400,81


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