Extensions 1→N→G→Q→1 with N=C32 and Q=A4:C4

Direct product G=NxQ with N=C32 and Q=A4:C4
dρLabelID
C32xA4:C4108C3^2xA4:C4432,615

Semidirect products G=N:Q with N=C32 and Q=A4:C4
extensionφ:Q→Aut NdρLabelID
C32:1(A4:C4) = C62:5Dic3φ: A4:C4/C23S3 ⊆ Aut C32366-C3^2:1(A4:C4)432,251
C32:2(A4:C4) = C62:6Dic3φ: A4:C4/C23S3 ⊆ Aut C32363C3^2:2(A4:C4)432,260
C32:3(A4:C4) = C62:Dic3φ: A4:C4/A4C4 ⊆ Aut C322412+C3^2:3(A4:C4)432,743
C32:4(A4:C4) = C3xC6.7S4φ: A4:C4/C2xA4C2 ⊆ Aut C32366C3^2:4(A4:C4)432,618
C32:5(A4:C4) = C62:10Dic3φ: A4:C4/C2xA4C2 ⊆ Aut C32108C3^2:5(A4:C4)432,621

Non-split extensions G=N.Q with N=C32 and Q=A4:C4
extensionφ:Q→Aut NdρLabelID
C32.(A4:C4) = C62.Dic3φ: A4:C4/C23S3 ⊆ Aut C32366-C3^2.(A4:C4)432,249
C32.2(A4:C4) = C3xC6.S4φ: A4:C4/C2xA4C2 ⊆ Aut C32366C3^2.2(A4:C4)432,250
C32.3(A4:C4) = C62.10Dic3φ: A4:C4/C2xA4C2 ⊆ Aut C32108C3^2.3(A4:C4)432,259

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