Extensions 1→N→G→Q→1 with N=C5 and Q=Q8:2S3

Direct product G=NxQ with N=C5 and Q=Q8:2S3
dρLabelID
C5xQ8:2S31204C5xQ8:2S3240,62

Semidirect products G=N:Q with N=C5 and Q=Q8:2S3
extensionφ:Q→Aut NdρLabelID
C5:1(Q8:2S3) = C15:SD16φ: Q8:2S3/C3:C8C2 ⊆ Aut C51204+C5:1(Q8:2S3)240,19
C5:2(Q8:2S3) = C20.D6φ: Q8:2S3/D12C2 ⊆ Aut C51204C5:2(Q8:2S3)240,17
C5:3(Q8:2S3) = Q8:2D15φ: Q8:2S3/C3xQ8C2 ⊆ Aut C51204+C5:3(Q8:2S3)240,78


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