Extensions 1→N→G→Q→1 with N=C5 and Q=C8:Q8

Direct product G=NxQ with N=C5 and Q=C8:Q8
dρLabelID
C5xC8:Q8320C5xC8:Q8320,1002

Semidirect products G=N:Q with N=C5 and Q=C8:Q8
extensionφ:Q→Aut NdρLabelID
C5:1(C8:Q8) = C8:Dic10φ: C8:Q8/C8:C4C2 ⊆ Aut C5320C5:1(C8:Q8)320,329
C5:2(C8:Q8) = C40:3Q8φ: C8:Q8/C4.Q8C2 ⊆ Aut C5320C5:2(C8:Q8)320,483
C5:3(C8:Q8) = C40:4Q8φ: C8:Q8/C2.D8C2 ⊆ Aut C5320C5:3(C8:Q8)320,503
C5:4(C8:Q8) = C42.68D10φ: C8:Q8/C42.C2C2 ⊆ Aut C5320C5:4(C8:Q8)320,692
C5:5(C8:Q8) = C42.76D10φ: C8:Q8/C4:Q8C2 ⊆ Aut C5320C5:5(C8:Q8)320,707


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