Extensions 1→N→G→Q→1 with N=C5 and Q=Q8:Dic3

Direct product G=NxQ with N=C5 and Q=Q8:Dic3
dρLabelID
C5xQ8:Dic3160C5xQ8:Dic3480,256

Semidirect products G=N:Q with N=C5 and Q=Q8:Dic3
extensionφ:Q→Aut NdρLabelID
C5:(Q8:Dic3) = D10.S4φ: Q8:Dic3/SL2(F3)C4 ⊆ Aut C5408-C5:(Q8:Dic3)480,962
C5:2(Q8:Dic3) = Q8:Dic15φ: Q8:Dic3/C2xSL2(F3)C2 ⊆ Aut C5160C5:2(Q8:Dic3)480,260


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