Extensions 1→N→G→Q→1 with N=Q8:2S3 and Q=D5

Direct product G=NxQ with N=Q8:2S3 and Q=D5
dρLabelID
D5xQ8:2S31208+D5xQ8:2S3480,577

Semidirect products G=N:Q with N=Q8:2S3 and Q=D5
extensionφ:Q→Out NdρLabelID
Q8:2S3:1D5 = D20:D6φ: D5/C5C2 ⊆ Out Q8:2S31208+Q8:2S3:1D5480,578
Q8:2S3:2D5 = D15:SD16φ: D5/C5C2 ⊆ Out Q8:2S31208-Q8:2S3:2D5480,581
Q8:2S3:3D5 = D60:C22φ: D5/C5C2 ⊆ Out Q8:2S31208+Q8:2S3:3D5480,582
Q8:2S3:4D5 = D12.27D10φ: D5/C5C2 ⊆ Out Q8:2S32408-Q8:2S3:4D5480,589
Q8:2S3:5D5 = D12.D10φ: D5/C5C2 ⊆ Out Q8:2S32408+Q8:2S3:5D5480,599
Q8:2S3:6D5 = D30.44D4φ: D5/C5C2 ⊆ Out Q8:2S32408-Q8:2S3:6D5480,600
Q8:2S3:7D5 = D20.14D6φ: trivial image2408-Q8:2S3:7D5480,590


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