Extensions 1→N→G→Q→1 with N=C₃xC₄oD₄ and Q=C₆

Direct product G=NxQ with N=C₃xC₄oD₄ and Q=C₆

		d	ρ	Label	ID
C₄oD₄xC₃xC₆		144		C4oD4xC3xC6	288,1021

Semidirect products G=N:Q with N=C₃xC₄oD₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄oD₄):₁C₆ = S₃xC₄.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₄oD₄	48	4	(C3xC4oD4):1C6	288,925
(C₃xC₄oD₄):₂C₆ = D₁₂.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₄oD₄	48	4-	(C3xC4oD4):2C6	288,926
(C₃xC₄oD₄):₃C₆ = C₃xD₄.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₄oD₄	48	4	(C3xC4oD4):3C6	288,985
(C₃xC₄oD₄):₄C₆ = C₆xC₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₃xC₄oD₄	96		(C3xC4oD4):4C6	288,983
(C₃xC₄oD₄):₅C₆ = C₃xD₄:D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	48	4	(C3xC4oD4):5C6	288,720
(C₃xC₄oD₄):₆C₆ = C₃xQ₈.₁₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	48	4	(C3xC4oD4):6C6	288,721
(C₃xC₄oD₄):₇C₆ = C₃xS₃xC₄oD₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	48	4	(C3xC4oD4):7C6	288,998
(C₃xC₄oD₄):₈C₆ = C₃xD₄oD₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	48	4	(C3xC4oD4):8C6	288,999
(C₃xC₄oD₄):₉C₆ = C₃xQ₈oD₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	48	4	(C3xC4oD4):9C6	288,1000
(C₃xC₄oD₄):₁₀C₆ = C₃²xC₄oD₈	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	144		(C3xC4oD4):10C6	288,832
(C₃xC₄oD₄):₁₁C₆ = C₃²xC₈:C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	72		(C3xC4oD4):11C6	288,833
(C₃xC₄oD₄):₁₂C₆ = C₃²x2₊¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	72		(C3xC4oD4):12C6	288,1022
(C₃xC₄oD₄):₁₃C₆ = C₃²x2_-¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	144		(C3xC4oD4):13C6	288,1023

Non-split extensions G=N.Q with N=C₃xC₄oD₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄oD₄).₁C₆ = SL₂(F₃).Dic₃	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₄oD₄	96	4	(C3xC4oD4).1C6	288,410
(C₃xC₄oD₄).₂C₆ = Dic₆.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₄oD₄	72	4+	(C3xC4oD4).2C6	288,924
(C₃xC₄oD₄).₃C₆ = 2₊¹⁺⁴:C₉	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₄oD₄	72	4	(C3xC4oD4).3C6	288,348
(C₃xC₄oD₄).₄C₆ = 2_-¹⁺⁴:C₉	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₄oD₄	144	4	(C3xC4oD4).4C6	288,349
(C₃xC₄oD₄).₅C₆ = C₃xQ₈.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₄oD₄	72	4	(C3xC4oD4).5C6	288,984
(C₃xC₄oD₄).₆C₆ = Q₈.C₃₆	φ: C₆/C₂ → C₃ ⊆ Out C₃xC₄oD₄	144	2	(C3xC4oD4).6C6	288,77
(C₃xC₄oD₄).₇C₆ = C₂xQ₈.C₁₈	φ: C₆/C₂ → C₃ ⊆ Out C₃xC₄oD₄	144		(C3xC4oD4).7C6	288,347
(C₃xC₄oD₄).₈C₆ = C₃xC₈.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₃xC₄oD₄	96	2	(C3xC4oD4).8C6	288,638
(C₃xC₄oD₄).₉C₆ = C₃xQ₈:₃Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	48	4	(C3xC4oD4).9C6	288,271
(C₃xC₄oD₄).₁₀C₆ = C₃xD₄.Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	48	4	(C3xC4oD4).10C6	288,719
(C₃xC₄oD₄).₁₁C₆ = C₃xQ₈.₁₄D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	48	4	(C3xC4oD4).11C6	288,722
(C₃xC₄oD₄).₁₂C₆ = C₉xC₄wrC₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	72	2	(C3xC4oD4).12C6	288,54
(C₃xC₄oD₄).₁₃C₆ = C₉xC₄oD₈	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	144	2	(C3xC4oD4).13C6	288,185
(C₃xC₄oD₄).₁₄C₆ = C₉xC₈:C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	72	4	(C3xC4oD4).14C6	288,186
(C₃xC₄oD₄).₁₅C₆ = C₉xC₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	144	4	(C3xC4oD4).15C6	288,187
(C₃xC₄oD₄).₁₆C₆ = C₃²xC₄wrC₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	72		(C3xC4oD4).16C6	288,322
(C₃xC₄oD₄).₁₇C₆ = C₉x2₊¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	72	4	(C3xC4oD4).17C6	288,371
(C₃xC₄oD₄).₁₈C₆ = C₉x2_-¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	144	4	(C3xC4oD4).18C6	288,372
(C₃xC₄oD₄).₁₉C₆ = C₃²xC₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₄oD₄	144		(C3xC4oD4).19C6	288,834
(C₃xC₄oD₄).₂₀C₆ = C₉xC₈oD₄	φ: trivial image	144	2	(C3xC4oD4).20C6	288,181
(C₃xC₄oD₄).₂₁C₆ = C₄oD₄xC₁₈	φ: trivial image	144		(C3xC4oD4).21C6	288,370
(C₃xC₄oD₄).₂₂C₆ = C₃²xC₈oD₄	φ: trivial image	144		(C3xC4oD4).22C6	288,828

Extensions 1→N→G→Q→1 with N=C3xC4oD4 and Q=C6

Extensions 1→N→G→Q→1 with N=C₃xC₄oD₄ and Q=C₆