Extensions 1→N→G→Q→1 with N=C₃²xM₄(2) and Q=C₂

Direct product G=NxQ with N=C₃²xM₄(2) and Q=C₂

		d	ρ	Label	ID
M₄(2)xC₃xC₆		144		M4(2)xC3xC6	288,827

Semidirect products G=N:Q with N=C₃²xM₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xM₄(2)):₁C₂ = C₃xC₈:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	48	4	(C3^2xM4(2)):1C2	288,679
(C₃²xM₄(2)):₂C₂ = C₃xC₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	48	4	(C3^2xM4(2)):2C2	288,680
(C₃²xM₄(2)):₃C₂ = C₂₄:₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	72		(C3^2xM4(2)):3C2	288,765
(C₃²xM₄(2)):₄C₂ = C₂₄.₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	144		(C3^2xM4(2)):4C2	288,766
(C₃²xM₄(2)):₅C₂ = C₃²xC₈:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	72		(C3^2xM4(2)):5C2	288,833
(C₃²xM₄(2)):₆C₂ = C₃²xC₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	144		(C3^2xM4(2)):6C2	288,834
(C₃²xM₄(2)):₇C₂ = C₃xS₃xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	48	4	(C3^2xM4(2)):7C2	288,677
(C₃²xM₄(2)):₈C₂ = C₃xD₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	48	4	(C3^2xM4(2)):8C2	288,678
(C₃²xM₄(2)):₉C₂ = M₄(2)xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	72		(C3^2xM4(2)):9C2	288,763
(C₃²xM₄(2)):₁₀C₂ = C₂₄.₄₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	144		(C3^2xM4(2)):10C2	288,764
(C₃²xM₄(2)):₁₁C₂ = C₃xC₁₂.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	48	4	(C3^2xM4(2)):11C2	288,257
(C₃²xM₄(2)):₁₂C₂ = C₃xD₁₂:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	48	4	(C3^2xM4(2)):12C2	288,259
(C₃²xM₄(2)):₁₃C₂ = C₁₂.₁₉D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	72		(C3^2xM4(2)):13C2	288,298
(C₃²xM₄(2)):₁₄C₂ = C₆².₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	72		(C3^2xM4(2)):14C2	288,300
(C₃²xM₄(2)):₁₅C₂ = C₃²xC₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	72		(C3^2xM4(2)):15C2	288,318
(C₃²xM₄(2)):₁₆C₂ = C₃²xC₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	72		(C3^2xM4(2)):16C2	288,322
(C₃²xM₄(2)):₁₇C₂ = C₃²xC₈oD₄	φ: trivial image	144		(C3^2xM4(2)):17C2	288,828

Non-split extensions G=N.Q with N=C₃²xM₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xM₄(2)).₁C₂ = C₃xC₁₂.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	48	4	(C3^2xM4(2)).1C2	288,256
(C₃²xM₄(2)).₂C₂ = C₃xC₁₂.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	48	4	(C3^2xM4(2)).2C2	288,258
(C₃²xM₄(2)).₃C₂ = C₆².₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	144		(C3^2xM4(2)).3C2	288,297
(C₃²xM₄(2)).₄C₂ = C₁₂.₂₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	144		(C3^2xM4(2)).4C2	288,299
(C₃²xM₄(2)).₅C₂ = C₃²xC₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	144		(C3^2xM4(2)).5C2	288,319
(C₃²xM₄(2)).₆C₂ = C₃²xC₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xM₄(2)	144		(C3^2xM4(2)).6C2	288,326

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