Extensions 1→N→G→Q→1 with N=C₃×A₄⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₃×A₄⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₆×A₄⋊C₄		72		C6xA4:C4	288,905

Semidirect products G=N:Q with N=C₃×A₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄⋊C₄)⋊₁C₂ = A₄⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×A₄⋊C₄	36	6+	(C3xA4:C4):1C2	288,858
(C₃×A₄⋊C₄)⋊₂C₂ = Dic₃⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×A₄⋊C₄	36	6	(C3xA4:C4):2C2	288,854
(C₃×A₄⋊C₄)⋊₃C₂ = S₃×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×A₄⋊C₄	36	6	(C3xA4:C4):3C2	288,856
(C₃×A₄⋊C₄)⋊₄C₂ = C₃×A₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×A₄⋊C₄	36	6	(C3xA4:C4):4C2	288,906
(C₃×A₄⋊C₄)⋊₅C₂ = C₁₂×S₄	φ: trivial image	36	3	(C3xA4:C4):5C2	288,897

Non-split extensions G=N.Q with N=C₃×A₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄⋊C₄).₁C₂ = Dic₃.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×A₄⋊C₄	72	6-	(C3xA4:C4).1C2	288,852
(C₃×A₄⋊C₄).₂C₂ = C₃×A₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×A₄⋊C₄	72	6	(C3xA4:C4).2C2	288,896

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