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Extensions 1→N→G→Q→1 with N=C5 and Q=C42.78C22

Direct product G=NxQ with N=C5 and Q=C42.78C22
dρLabelID
C5xC42.78C22160C5xC4^2.78C2^2320,989

Semidirect products G=N:Q with N=C5 and Q=C42.78C22
extensionφ:Q→Aut NdρLabelID
C5:1(C42.78C22) = C42.264D10φ: C42.78C22/C4xC8 → C2 ⊆ Aut C5160C5:1(C4^2.78C2^2)320,324
C5:2(C42.78C22) = (C8xDic5):C2φ: C42.78C22/D4:C4 → C2 ⊆ Aut C5160C5:2(C4^2.78C2^2)320,395
C5:3(C42.78C22) = Q8:Dic5:C2φ: C42.78C22/Q8:C4 → C2 ⊆ Aut C5160C5:3(C4^2.78C2^2)320,427
C5:4(C42.78C22) = C42.213D10φ: C42.78C22/C4.4D4 → C2 ⊆ Aut C5160C5:4(C4^2.78C2^2)320,683
C5:5(C42.78C22) = C42.216D10φ: C42.78C22/C42.C2 → C2 ⊆ Aut C5160C5:5(C4^2.78C2^2)320,695


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