Extensions 1→N→G→Q→1 with N=C5 and Q=C8xQ8

Direct product G=NxQ with N=C5 and Q=C8xQ8
dρLabelID
Q8xC40320Q8xC40320,946

Semidirect products G=N:Q with N=C5 and Q=C8xQ8
extensionφ:Q→Aut NdρLabelID
C5:1(C8xQ8) = Dic10:C8φ: C8xQ8/C4:C4C4 ⊆ Aut C5320C5:1(C8xQ8)320,1041
C5:2(C8xQ8) = Q8xC5:C8φ: C8xQ8/C2xQ8C4 ⊆ Aut C5320C5:2(C8xQ8)320,1124
C5:3(C8xQ8) = C8xDic10φ: C8xQ8/C4xC8C2 ⊆ Aut C5320C5:3(C8xQ8)320,305
C5:4(C8xQ8) = Dic10:5C8φ: C8xQ8/C4:C8C2 ⊆ Aut C5320C5:4(C8xQ8)320,457
C5:5(C8xQ8) = Q8xC5:2C8φ: C8xQ8/C4xQ8C2 ⊆ Aut C5320C5:5(C8xQ8)320,650


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