Extensions 1→N→G→Q→1 with N=C3 and Q=D6:3Q8

Direct product G=NxQ with N=C3 and Q=D6:3Q8
dρLabelID
C3xD6:3Q896C3xD6:3Q8288,717

Semidirect products G=N:Q with N=C3 and Q=D6:3Q8
extensionφ:Q→Aut NdρLabelID
C3:1(D6:3Q8) = C62.58C23φ: D6:3Q8/Dic3:C4C2 ⊆ Aut C348C3:1(D6:3Q8)288,536
C3:2(D6:3Q8) = C12.30D12φ: D6:3Q8/C4:Dic3C2 ⊆ Aut C348C3:2(D6:3Q8)288,519
C3:3(D6:3Q8) = D6:1Dic6φ: D6:3Q8/D6:C4C2 ⊆ Aut C396C3:3(D6:3Q8)288,535
C3:4(D6:3Q8) = D6:6Dic6φ: D6:3Q8/S3xC2xC4C2 ⊆ Aut C396C3:4(D6:3Q8)288,504
C3:5(D6:3Q8) = C62.261C23φ: D6:3Q8/C6xQ8C2 ⊆ Aut C3144C3:5(D6:3Q8)288,803

Non-split extensions G=N.Q with N=C3 and Q=D6:3Q8
extensionφ:Q→Aut NdρLabelID
C3.(D6:3Q8) = D18:3Q8φ: D6:3Q8/C6xQ8C2 ⊆ Aut C3144C3.(D6:3Q8)288,156

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