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Cn
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Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=C42.C22

Direct product G=NxQ with N=C5 and Q=C42.C22
dρLabelID
C5xC42.C22160C5xC4^2.C2^2320,134

Semidirect products G=N:Q with N=C5 and Q=C42.C22
extensionφ:Q→Aut NdρLabelID
C5:1(C42.C22) = (C2xD4).F5φ: C42.C22/C2xD4 → C4 ⊆ Aut C5160C5:1(C4^2.C2^2)320,259
C5:2(C42.C22) = (C2xQ8).F5φ: C42.C22/C2xQ8 → C4 ⊆ Aut C5160C5:2(C4^2.C2^2)320,265
C5:3(C42.C22) = C42.D10φ: C42.C22/C8:C4 → C2 ⊆ Aut C5160C5:3(C4^2.C2^2)320,22
C5:4(C42.C22) = C42.7D10φ: C42.C22/C4.4D4 → C2 ⊆ Aut C5160C5:4(C4^2.C2^2)320,98


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