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Extensions 1→N→G→Q→1 with N=C5 and Q=C42.6C22

Direct product G=NxQ with N=C5 and Q=C42.6C22
dρLabelID
C5xC42.6C22160C5xC4^2.6C2^2320,925

Semidirect products G=N:Q with N=C5 and Q=C42.6C22
extensionφ:Q→Aut NdρLabelID
C5:1(C42.6C22) = C20:C8:C2φ: C42.6C22/C22:C4 → C4 ⊆ Aut C5160C5:1(C4^2.6C2^2)320,1034
C5:2(C42.6C22) = C4:C4.9F5φ: C42.6C22/C4:C4 → C4 ⊆ Aut C5160C5:2(C4^2.6C2^2)320,1046
C5:3(C42.6C22) = C42.30D10φ: C42.6C22/C4:C8 → C2 ⊆ Aut C5160C5:3(C4^2.6C2^2)320,466
C5:4(C42.6C22) = C42.43D10φ: C42.6C22/C42:C2 → C2 ⊆ Aut C5160C5:4(C4^2.6C2^2)320,626
C5:5(C42.6C22) = C20.65(C4:C4)φ: C42.6C22/C22xC8 → C2 ⊆ Aut C5160C5:5(C4^2.6C2^2)320,729
C5:6(C42.6C22) = C20.51(C4:C4)φ: C42.6C22/C2xM4(2) → C2 ⊆ Aut C5160C5:6(C4^2.6C2^2)320,746


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