Extensions 1→N→G→Q→1 with N=Q₈xC₃xC₆ and Q=C₂

Direct product G=NxQ with N=Q₈xC₃xC₆ and Q=C₂

		d	ρ	Label	ID
Q₈xC₆²		288		Q8xC6^2	288,1020

Semidirect products G=N:Q with N=Q₈xC₃xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₃xC₆):₁C₂ = C₆xQ₈:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	96		(Q8xC3xC6):1C2	288,712
(Q₈xC₃xC₆):₂C₂ = C₃xQ₈.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	48	4	(Q8xC3xC6):2C2	288,713
(Q₈xC₃xC₆):₃C₂ = C₃xD₆:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	96		(Q8xC3xC6):3C2	288,717
(Q₈xC₃xC₆):₄C₂ = C₃xC₁₂.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	96		(Q8xC3xC6):4C2	288,718
(Q₈xC₃xC₆):₅C₂ = C₂xC₃²:₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):5C2	288,798
(Q₈xC₃xC₆):₆C₂ = C₆².₁₃₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):6C2	288,799
(Q₈xC₃xC₆):₇C₂ = C₆².₂₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):7C2	288,803
(Q₈xC₃xC₆):₈C₂ = C₆².₂₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):8C2	288,804
(Q₈xC₃xC₆):₉C₂ = S₃xC₆xQ₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	96		(Q8xC3xC6):9C2	288,995
(Q₈xC₃xC₆):₁₀C₂ = C₆xQ₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	96		(Q8xC3xC6):10C2	288,996
(Q₈xC₃xC₆):₁₁C₂ = C₃xQ₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	48	4	(Q8xC3xC6):11C2	288,997
(Q₈xC₃xC₆):₁₂C₂ = C₂xQ₈xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):12C2	288,1010
(Q₈xC₃xC₆):₁₃C₂ = C₂xC₁₂.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):13C2	288,1011
(Q₈xC₃xC₆):₁₄C₂ = C₃²:₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):14C2	288,1012
(Q₈xC₃xC₆):₁₅C₂ = C₃²xC₂²:Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):15C2	288,819
(Q₈xC₃xC₆):₁₆C₂ = C₃²xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):16C2	288,821
(Q₈xC₃xC₆):₁₇C₂ = SD₁₆xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):17C2	288,830
(Q₈xC₃xC₆):₁₈C₂ = C₃²xC₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):18C2	288,834
(Q₈xC₃xC₆):₁₉C₂ = C₃²x2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):19C2	288,1023
(Q₈xC₃xC₆):₂₀C₂ = C₄oD₄xC₃xC₆	φ: trivial image	144		(Q8xC3xC6):20C2	288,1021

Non-split extensions G=N.Q with N=Q₈xC₃xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₃xC₆).₁C₂ = C₃xQ₈:₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	96		(Q8xC3xC6).1C2	288,269
(Q₈xC₃xC₆).₂C₂ = C₃xC₁₂.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	48	4	(Q8xC3xC6).2C2	288,270
(Q₈xC₃xC₆).₃C₂ = C₆².₁₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	288		(Q8xC3xC6).3C2	288,310
(Q₈xC₃xC₆).₄C₂ = (C₆xC₁₂).C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6).4C2	288,311
(Q₈xC₃xC₆).₅C₂ = C₆xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	96		(Q8xC3xC6).5C2	288,714
(Q₈xC₃xC₆).₆C₂ = C₃xDic₃:Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	96		(Q8xC3xC6).6C2	288,715
(Q₈xC₃xC₆).₇C₂ = C₃xQ₈xDic₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	96		(Q8xC3xC6).7C2	288,716
(Q₈xC₃xC₆).₈C₂ = C₂xC₃²:₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	288		(Q8xC3xC6).8C2	288,800
(Q₈xC₃xC₆).₉C₂ = C₆².₂₅₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	288		(Q8xC3xC6).9C2	288,801
(Q₈xC₃xC₆).₁₀C₂ = Q₈xC₃:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	288		(Q8xC3xC6).10C2	288,802
(Q₈xC₃xC₆).₁₁C₂ = C₃²xC₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6).11C2	288,319
(Q₈xC₃xC₆).₁₂C₂ = C₃²xQ₈:C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	288		(Q8xC3xC6).12C2	288,321
(Q₈xC₃xC₆).₁₃C₂ = C₃²xC₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	288		(Q8xC3xC6).13C2	288,825
(Q₈xC₃xC₆).₁₄C₂ = Q₁₆xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃xC₆	288		(Q8xC3xC6).14C2	288,831
(Q₈xC₃xC₆).₁₅C₂ = Q₈xC₃xC₁₂	φ: trivial image	288		(Q8xC3xC6).15C2	288,816

Extensions 1→N→G→Q→1 with N=Q8xC3xC6 and Q=C2

Extensions 1→N→G→Q→1 with N=Q₈xC₃xC₆ and Q=C₂