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Extensions 1→N→G→Q→1 with N=C5 and Q=C42.7C22

Direct product G=NxQ with N=C5 and Q=C42.7C22
dρLabelID
C5xC42.7C22160C5xC4^2.7C2^2320,934

Semidirect products G=N:Q with N=C5 and Q=C42.7C22
extensionφ:Q→Aut NdρLabelID
C5:1(C42.7C22) = C23.(C2xF5)φ: C42.7C22/C22:C4 → C4 ⊆ Aut C5160C5:1(C4^2.7C2^2)320,1035
C5:2(C42.7C22) = C4:C4.7F5φ: C42.7C22/C4:C4 → C4 ⊆ Aut C5160C5:2(C4^2.7C2^2)320,1044
C5:3(C42.7C22) = C42.243D10φ: C42.7C22/C4xC8 → C2 ⊆ Aut C5160C5:3(C4^2.7C2^2)320,317
C5:4(C42.7C22) = C42.185D10φ: C42.7C22/C8:C4 → C2 ⊆ Aut C5160C5:4(C4^2.7C2^2)320,336
C5:5(C42.7C22) = C40:8C4:C2φ: C42.7C22/C22:C8 → C2 ⊆ Aut C5160C5:5(C4^2.7C2^2)320,347
C5:6(C42.7C22) = C42.31D10φ: C42.7C22/C4:C8 → C2 ⊆ Aut C5160C5:6(C4^2.7C2^2)320,467
C5:7(C42.7C22) = C42.187D10φ: C42.7C22/C42:C2 → C2 ⊆ Aut C5160C5:7(C4^2.7C2^2)320,627


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