Extensions 1→N→G→Q→1 with N=C3 and Q=C12:7D4

Direct product G=NxQ with N=C3 and Q=C12:7D4
dρLabelID
C3xC12:7D448C3xC12:7D4288,701

Semidirect products G=N:Q with N=C3 and Q=C12:7D4
extensionφ:Q→Aut NdρLabelID
C3:1(C12:7D4) = C12:7D12φ: C12:7D4/C4:Dic3C2 ⊆ Aut C348C3:1(C12:7D4)288,557
C3:2(C12:7D4) = D6:D12φ: C12:7D4/D6:C4C2 ⊆ Aut C348C3:2(C12:7D4)288,554
C3:3(C12:7D4) = D6:2D12φ: C12:7D4/C2xD12C2 ⊆ Aut C396C3:3(C12:7D4)288,556
C3:4(C12:7D4) = C62:6D4φ: C12:7D4/C2xC3:D4C2 ⊆ Aut C348C3:4(C12:7D4)288,626
C3:5(C12:7D4) = C62:19D4φ: C12:7D4/C22xC12C2 ⊆ Aut C3144C3:5(C12:7D4)288,787

Non-split extensions G=N.Q with N=C3 and Q=C12:7D4
extensionφ:Q→Aut NdρLabelID
C3.(C12:7D4) = C36:7D4φ: C12:7D4/C22xC12C2 ⊆ Aut C3144C3.(C12:7D4)288,140

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