Extensions 1→N→G→Q→1 with N=C5 and Q=Q8.11D6

Direct product G=N×Q with N=C5 and Q=Q8.11D6
dρLabelID
C5×Q8.11D62404C5xQ8.11D6480,821

Semidirect products G=N:Q with N=C5 and Q=Q8.11D6
extensionφ:Q→Aut NdρLabelID
C51(Q8.11D6) = C12.D20φ: Q8.11D6/C4.Dic3C2 ⊆ Aut C52404C5:1(Q8.11D6)480,391
C52(Q8.11D6) = D12.27D10φ: Q8.11D6/Q82S3C2 ⊆ Aut C52408-C5:2(Q8.11D6)480,589
C53(Q8.11D6) = C60.39C23φ: Q8.11D6/C3⋊Q16C2 ⊆ Aut C52408+C5:3(Q8.11D6)480,591
C54(Q8.11D6) = D12.37D10φ: Q8.11D6/C4○D12C2 ⊆ Aut C52404C5:4(Q8.11D6)480,385
C55(Q8.11D6) = Q8.11D30φ: Q8.11D6/C6×Q8C2 ⊆ Aut C52404C5:5(Q8.11D6)480,907


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