Extensions 1→N→G→Q→1 with N=C5 and Q=C4:Q8

Direct product G=NxQ with N=C5 and Q=C4:Q8
dρLabelID
C5xC4:Q8160C5xC4:Q8160,189

Semidirect products G=N:Q with N=C5 and Q=C4:Q8
extensionφ:Q→Aut NdρLabelID
C5:1(C4:Q8) = C20:2Q8φ: C4:Q8/C42C2 ⊆ Aut C5160C5:1(C4:Q8)160,90
C5:2(C4:Q8) = C20:Q8φ: C4:Q8/C4:C4C2 ⊆ Aut C5160C5:2(C4:Q8)160,109
C5:3(C4:Q8) = Dic5:Q8φ: C4:Q8/C2xQ8C2 ⊆ Aut C5160C5:3(C4:Q8)160,165


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