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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.S3

Direct product G=NxQ with N=C5 and Q=C42.S3
dρLabelID
C5xC42.S3480C5xC4^2.S3480,122

Semidirect products G=N:Q with N=C5 and Q=C42.S3
extensionφ:Q→Aut NdρLabelID
C5:1(C42.S3) = C30.3C42φ: C42.S3/C3:C8 → C4 ⊆ Aut C51208C5:1(C4^2.S3)480,225
C5:2(C42.S3) = C30.11C42φ: C42.S3/C2xC12 → C4 ⊆ Aut C5480C5:2(C4^2.S3)480,307
C5:3(C42.S3) = C30.21C42φ: C42.S3/C2xC3:C8 → C2 ⊆ Aut C5480C5:3(C4^2.S3)480,28
C5:4(C42.S3) = C42.D15φ: C42.S3/C4xC12 → C2 ⊆ Aut C5480C5:4(C4^2.S3)480,163


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