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

Direct product G=N×Q with N=C32 and Q=A4⋊C4

Semidirect products G=N:Q with N=C32 and Q=A4⋊C4
extensionφ:Q→Aut NdρLabelID
C321(A4⋊C4) = C625Dic3φ: A4⋊C4/C23S3 ⊆ Aut C32366-C3^2:1(A4:C4)432,251
C322(A4⋊C4) = C626Dic3φ: A4⋊C4/C23S3 ⊆ Aut C32363C3^2:2(A4:C4)432,260
C323(A4⋊C4) = C62⋊Dic3φ: A4⋊C4/A4C4 ⊆ Aut C322412+C3^2:3(A4:C4)432,743
C324(A4⋊C4) = C3×C6.7S4φ: A4⋊C4/C2×A4C2 ⊆ Aut C32366C3^2:4(A4:C4)432,618
C325(A4⋊C4) = C6210Dic3φ: A4⋊C4/C2×A4C2 ⊆ 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) = C3×C6.S4φ: A4⋊C4/C2×A4C2 ⊆ Aut C32366C3^2.2(A4:C4)432,250
C32.3(A4⋊C4) = C62.10Dic3φ: A4⋊C4/C2×A4C2 ⊆ Aut C32108C3^2.3(A4:C4)432,259