Extensions 1→N→G→Q→1 with N=C₃×M₄(2) and Q=C₆

Direct product G=N×Q with N=C₃×M₄(2) and Q=C₆

		d	ρ	Label	ID
M₄(2)×C₃×C₆		144		M4(2)xC3xC6	288,827

Semidirect products G=N:Q with N=C₃×M₄(2) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2))⋊₁C₆ = C₃×C₈⋊D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):1C6	288,679
(C₃×M₄(2))⋊₂C₆ = C₃×C₈.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):2C6	288,680
(C₃×M₄(2))⋊₃C₆ = C₃²×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	72		(C3xM4(2)):3C6	288,833
(C₃×M₄(2))⋊₄C₆ = C₃²×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	144		(C3xM4(2)):4C6	288,834
(C₃×M₄(2))⋊₅C₆ = C₃×S₃×M₄(2)	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):5C6	288,677
(C₃×M₄(2))⋊₆C₆ = C₃×D₁₂.C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):6C6	288,678
(C₃×M₄(2))⋊₇C₆ = C₃×C₁₂.₄₆D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):7C6	288,257
(C₃×M₄(2))⋊₈C₆ = C₃×D₁₂⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):8C6	288,259
(C₃×M₄(2))⋊₉C₆ = C₃²×C₄.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	72		(C3xM4(2)):9C6	288,318
(C₃×M₄(2))⋊₁₀C₆ = C₃²×C₄≀C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	72		(C3xM4(2)):10C6	288,322
(C₃×M₄(2))⋊₁₁C₆ = C₃²×C₈○D₄	φ: trivial image	144		(C3xM4(2)):11C6	288,828

Non-split extensions G=N.Q with N=C₃×M₄(2) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2)).₁C₆ = C₉×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	72	4	(C3xM4(2)).1C6	288,186
(C₃×M₄(2)).₂C₆ = C₉×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	144	4	(C3xM4(2)).2C6	288,187
(C₃×M₄(2)).₃C₆ = C₉×C₄.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	72	4	(C3xM4(2)).3C6	288,50
(C₃×M₄(2)).₄C₆ = C₉×C₄.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	144	4	(C3xM4(2)).4C6	288,51
(C₃×M₄(2)).₅C₆ = C₉×C₄≀C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	72	2	(C3xM4(2)).5C6	288,54
(C₃×M₄(2)).₆C₆ = C₉×C₈.C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	144	2	(C3xM4(2)).6C6	288,58
(C₃×M₄(2)).₇C₆ = C₃×C₁₂.₅₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).7C6	288,256
(C₃×M₄(2)).₈C₆ = C₃×C₁₂.₄₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).8C6	288,258
(C₃×M₄(2)).₉C₆ = C₃²×C₄.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	144		(C3xM4(2)).9C6	288,319
(C₃×M₄(2)).₁₀C₆ = C₃²×C₈.C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×M₄(2)	144		(C3xM4(2)).10C6	288,326
(C₃×M₄(2)).₁₁C₆ = M₄(2)×C₁₈	φ: trivial image	144		(C3xM4(2)).11C6	288,180
(C₃×M₄(2)).₁₂C₆ = C₉×C₈○D₄	φ: trivial image	144	2	(C3xM4(2)).12C6	288,181

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