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Extensions 1→N→G→Q→1 with N=C5 and Q=C4:C4:7S3

Direct product G=NxQ with N=C5 and Q=C4:C4:7S3
dρLabelID
C5xC4:C4:7S3240C5xC4:C4:7S3480,771

Semidirect products G=N:Q with N=C5 and Q=C4:C4:7S3
extensionφ:Q→Aut NdρLabelID
C5:(C4:C4:7S3) = C4:F5:3S3φ: C4:C4:7S3/C4xS3 → C4 ⊆ Aut C51208C5:(C4:C4:7S3)480,983
C5:2(C4:C4:7S3) = D30.23(C2xC4)φ: C4:C4:7S3/C4xDic3 → C2 ⊆ Aut C5240C5:2(C4:C4:7S3)480,479
C5:3(C4:C4:7S3) = (C4xD15):8C4φ: C4:C4:7S3/C4:Dic3 → C2 ⊆ Aut C5240C5:3(C4:C4:7S3)480,423
C5:4(C4:C4:7S3) = (S3xDic5):C4φ: C4:C4:7S3/D6:C4 → C2 ⊆ Aut C5240C5:4(C4:C4:7S3)480,476
C5:5(C4:C4:7S3) = C4:C4:7D15φ: C4:C4:7S3/C3xC4:C4 → C2 ⊆ Aut C5240C5:5(C4:C4:7S3)480,857
C5:6(C4:C4:7S3) = (S3xC20):5C4φ: C4:C4:7S3/S3xC2xC4 → C2 ⊆ Aut C5240C5:6(C4:C4:7S3)480,414


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