Extensions 1→N→G→Q→1 with N=C5 and Q=Q8:3S3

Direct product G=NxQ with N=C5 and Q=Q8:3S3
dρLabelID
C5xQ8:3S31204C5xQ8:3S3240,172

Semidirect products G=N:Q with N=C5 and Q=Q8:3S3
extensionφ:Q→Aut NdρLabelID
C5:1(Q8:3S3) = D60:C2φ: Q8:3S3/C4xS3C2 ⊆ Aut C51204+C5:1(Q8:3S3)240,130
C5:2(Q8:3S3) = D12:D5φ: Q8:3S3/D12C2 ⊆ Aut C51204C5:2(Q8:3S3)240,129
C5:3(Q8:3S3) = Q8:3D15φ: Q8:3S3/C3xQ8C2 ⊆ Aut C51204+C5:3(Q8:3S3)240,182


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