Extensions 1→N→G→Q→1 with N=C3 and Q=Q8:Dic3

Direct product G=NxQ with N=C3 and Q=Q8:Dic3
dρLabelID
C3xQ8:Dic396C3xQ8:Dic3288,399

Semidirect products G=N:Q with N=C3 and Q=Q8:Dic3
extensionφ:Q→Aut NdρLabelID
C3:(Q8:Dic3) = C6.GL2(F3)φ: Q8:Dic3/C2xSL2(F3)C2 ⊆ Aut C396C3:(Q8:Dic3)288,403

Non-split extensions G=N.Q with N=C3 and Q=Q8:Dic3
extensionφ:Q→Aut NdρLabelID
C3.(Q8:Dic3) = Q8:Dic9φ: Q8:Dic3/C2xSL2(F3)C2 ⊆ Aut C3288C3.(Q8:Dic3)288,69

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