Extensions 1→N→G→Q→1 with N=C₃xC₂²:C₄ and Q=C₆

Direct product G=NxQ with N=C₃xC₂²:C₄ and Q=C₆

		d	ρ	Label	ID
C₂²:C₄xC₃xC₆		144		C2^2:C4xC3xC6	288,812

Semidirect products G=N:Q with N=C₃xC₂²:C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₂²:C₄):₁C₆ = C₃xC₂³.₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	24	4	(C3xC2^2:C4):1C6	288,240
(C₃xC₂²:C₄):₂C₆ = C₃²xC₂³:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	72		(C3xC2^2:C4):2C6	288,317
(C₃xC₂²:C₄):₃C₆ = C₃xD₆:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	48		(C3xC2^2:C4):3C6	288,653
(C₃xC₂²:C₄):₄C₆ = C₃xC₂³.₂₁D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	48		(C3xC2^2:C4):4C6	288,657
(C₃xC₂²:C₄):₅C₆ = C₃xC₂³.₉D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	48		(C3xC2^2:C4):5C6	288,654
(C₃xC₂²:C₄):₆C₆ = C₃xDic₃:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	48		(C3xC2^2:C4):6C6	288,655
(C₃xC₂²:C₄):₇C₆ = C₃xC₂³.₁₁D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	48		(C3xC2^2:C4):7C6	288,656
(C₃xC₂²:C₄):₈C₆ = C₃xS₃xC₂²:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	48		(C3xC2^2:C4):8C6	288,651
(C₃xC₂²:C₄):₉C₆ = C₃xDic₃:₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	48		(C3xC2^2:C4):9C6	288,652
(C₃xC₂²:C₄):₁₀C₆ = C₃²xC₂²wrC₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	72		(C3xC2^2:C4):10C6	288,817
(C₃xC₂²:C₄):₁₁C₆ = C₃²xC₄:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	144		(C3xC2^2:C4):11C6	288,818
(C₃xC₂²:C₄):₁₂C₆ = C₃²xC₂².D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	144		(C3xC2^2:C4):12C6	288,820
(C₃xC₂²:C₄):₁₃C₆ = C₃²xC₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	144		(C3xC2^2:C4):13C6	288,821
(C₃xC₂²:C₄):₁₄C₆ = D₄xC₃xC₁₂	φ: trivial image	144		(C3xC2^2:C4):14C6	288,815

Non-split extensions G=N.Q with N=C₃xC₂²:C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₂²:C₄).₁C₆ = C₉xC₂³:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	72	4	(C3xC2^2:C4).1C6	288,49
(C₃xC₂²:C₄).₂C₆ = C₃xDic₃.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	48		(C3xC2^2:C4).2C6	288,649
(C₃xC₂²:C₄).₃C₆ = C₃xC₂³.₈D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	48		(C3xC2^2:C4).3C6	288,650
(C₃xC₂²:C₄).₄C₆ = C₃xC₂³.₁₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	48		(C3xC2^2:C4).4C6	288,648
(C₃xC₂²:C₄).₅C₆ = C₉xC₂²wrC₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	72		(C3xC2^2:C4).5C6	288,170
(C₃xC₂²:C₄).₆C₆ = C₉xC₄:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	144		(C3xC2^2:C4).6C6	288,171
(C₃xC₂²:C₄).₇C₆ = C₉xC₂²:Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	144		(C3xC2^2:C4).7C6	288,172
(C₃xC₂²:C₄).₈C₆ = C₉xC₂².D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	144		(C3xC2^2:C4).8C6	288,173
(C₃xC₂²:C₄).₉C₆ = C₉xC₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	144		(C3xC2^2:C4).9C6	288,174
(C₃xC₂²:C₄).₁₀C₆ = C₉xC₄²:₂C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	144		(C3xC2^2:C4).10C6	288,176
(C₃xC₂²:C₄).₁₁C₆ = C₃²xC₂²:Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	144		(C3xC2^2:C4).11C6	288,819
(C₃xC₂²:C₄).₁₂C₆ = C₃²xC₄²:₂C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₂²:C₄	144		(C3xC2^2:C4).12C6	288,823
(C₃xC₂²:C₄).₁₃C₆ = C₂²:C₄xC₁₈	φ: trivial image	144		(C3xC2^2:C4).13C6	288,165
(C₃xC₂²:C₄).₁₄C₆ = C₉xC₄²:C₂	φ: trivial image	144		(C3xC2^2:C4).14C6	288,167
(C₃xC₂²:C₄).₁₅C₆ = D₄xC₃₆	φ: trivial image	144		(C3xC2^2:C4).15C6	288,168
(C₃xC₂²:C₄).₁₆C₆ = C₃²xC₄²:C₂	φ: trivial image	144		(C3xC2^2:C4).16C6	288,814

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