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Cn
Dn
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Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=C24.3C22

Direct product G=NxQ with N=C5 and Q=C24.3C22
dρLabelID
C5xC24.3C22160C5xC2^4.3C2^2320,891

Semidirect products G=N:Q with N=C5 and Q=C24.3C22
extensionφ:Q→Aut NdρLabelID
C5:(C24.3C22) = C2.(D4xF5)φ: C24.3C22/C2xD4 → C4 ⊆ Aut C580C5:(C2^4.3C2^2)320,1118
C5:2(C24.3C22) = (C2xC4):6D20φ: C24.3C22/C2xC42 → C2 ⊆ Aut C5160C5:2(C2^4.3C2^2)320,566
C5:3(C24.3C22) = C24.13D10φ: C24.3C22/C2xC22:C4 → C2 ⊆ Aut C5160C5:3(C2^4.3C2^2)320,584
C5:4(C24.3C22) = (C2xD20):22C4φ: C24.3C22/C2xC4:C4 → C2 ⊆ Aut C5160C5:4(C2^4.3C2^2)320,615
C5:5(C24.3C22) = C24.19D10φ: C24.3C22/C22xD4 → C2 ⊆ Aut C5160C5:5(C2^4.3C2^2)320,848


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