Extensions 1→N→G→Q→1 with N=Q8:2S3 and Q=C10

Direct product G=NxQ with N=Q8:2S3 and Q=C10
dρLabelID
C10xQ8:2S3240C10xQ8:2S3480,820

Semidirect products G=N:Q with N=Q8:2S3 and Q=C10
extensionφ:Q→Out NdρLabelID
Q8:2S3:1C10 = C5xS3xSD16φ: C10/C5C2 ⊆ Out Q8:2S31204Q8:2S3:1C10480,792
Q8:2S3:2C10 = C5xQ8:3D6φ: C10/C5C2 ⊆ Out Q8:2S31204Q8:2S3:2C10480,793
Q8:2S3:3C10 = C5xQ16:S3φ: C10/C5C2 ⊆ Out Q8:2S32404Q8:2S3:3C10480,797
Q8:2S3:4C10 = C5xD24:C2φ: C10/C5C2 ⊆ Out Q8:2S32404Q8:2S3:4C10480,798
Q8:2S3:5C10 = C5xQ8.11D6φ: C10/C5C2 ⊆ Out Q8:2S32404Q8:2S3:5C10480,821
Q8:2S3:6C10 = C5xD4:D6φ: C10/C5C2 ⊆ Out Q8:2S31204Q8:2S3:6C10480,828
Q8:2S3:7C10 = C5xQ8.13D6φ: trivial image2404Q8:2S3:7C10480,829


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