Extensions 1→N→G→Q→1 with N=C6 and Q=A4⋊C4

Direct product G=N×Q with N=C6 and Q=A4⋊C4

Semidirect products G=N:Q with N=C6 and Q=A4⋊C4
extensionφ:Q→Aut NdρLabelID
C6⋊(A4⋊C4) = C2×C6.7S4φ: A4⋊C4/C2×A4C2 ⊆ Aut C672C6:(A4:C4)288,916

Non-split extensions G=N.Q with N=C6 and Q=A4⋊C4
extensionφ:Q→Aut NdρLabelID
C6.1(A4⋊C4) = C12.S4φ: A4⋊C4/C2×A4C2 ⊆ Aut C6726C6.1(A4:C4)288,68
C6.2(A4⋊C4) = Q8⋊Dic9φ: A4⋊C4/C2×A4C2 ⊆ Aut C6288C6.2(A4:C4)288,69
C6.3(A4⋊C4) = C12.9S4φ: A4⋊C4/C2×A4C2 ⊆ Aut C6724C6.3(A4:C4)288,70
C6.4(A4⋊C4) = C2×C6.S4φ: A4⋊C4/C2×A4C2 ⊆ Aut C672C6.4(A4:C4)288,341
C6.5(A4⋊C4) = C12.12S4φ: A4⋊C4/C2×A4C2 ⊆ Aut C6726C6.5(A4:C4)288,402
C6.6(A4⋊C4) = C6.GL2(𝔽3)φ: A4⋊C4/C2×A4C2 ⊆ Aut C696C6.6(A4:C4)288,403
C6.7(A4⋊C4) = C3⋊U2(𝔽3)φ: A4⋊C4/C2×A4C2 ⊆ Aut C6724C6.7(A4:C4)288,404
C6.8(A4⋊C4) = C3×A4⋊C8central extension (φ=1)723C6.8(A4:C4)288,398
C6.9(A4⋊C4) = C3×Q8⋊Dic3central extension (φ=1)96C6.9(A4:C4)288,399
C6.10(A4⋊C4) = C3×U2(𝔽3)central extension (φ=1)722C6.10(A4:C4)288,400