Extensions 1→N→G→Q→1 with N=C3 and Q=Q8:2Dic3

Direct product G=NxQ with N=C3 and Q=Q8:2Dic3
dρLabelID
C3xQ8:2Dic396C3xQ8:2Dic3288,269

Semidirect products G=N:Q with N=C3 and Q=Q8:2Dic3
extensionφ:Q→Aut NdρLabelID
C3:1(Q8:2Dic3) = C6.Dic12φ: Q8:2Dic3/C2xC3:C8C2 ⊆ Aut C396C3:1(Q8:2Dic3)288,214
C3:2(Q8:2Dic3) = Dic6:Dic3φ: Q8:2Dic3/C4:Dic3C2 ⊆ Aut C396C3:2(Q8:2Dic3)288,213
C3:3(Q8:2Dic3) = C62.117D4φ: Q8:2Dic3/C6xQ8C2 ⊆ Aut C3288C3:3(Q8:2Dic3)288,310

Non-split extensions G=N.Q with N=C3 and Q=Q8:2Dic3
extensionφ:Q→Aut NdρLabelID
C3.(Q8:2Dic3) = Q8:2Dic9φ: Q8:2Dic3/C6xQ8C2 ⊆ Aut C3288C3.(Q8:2Dic3)288,43

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