Extensions 1→N→G→Q→1 with N=C₂xC₃:C₈ and Q=C₂

Direct product G=NxQ with N=C₂xC₃:C₈ and Q=C₂

		d	ρ	Label	ID
C₂²xC₃:C₈		96		C2^2xC3:C8	96,127

Semidirect products G=N:Q with N=C₂xC₃:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:C₈):₁C₂ = C₆.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):1C2	96,16
(C₂xC₃:C₈):₂C₂ = D₄:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):2C2	96,39
(C₂xC₃:C₈):₃C₂ = D₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8):3C2	96,114
(C₂xC₃:C₈):₄C₂ = C₂xD₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):4C2	96,138
(C₂xC₃:C₈):₅C₂ = C₂xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):5C2	96,140
(C₂xC₃:C₈):₆C₂ = C₂xQ₈:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):6C2	96,148
(C₂xC₃:C₈):₇C₂ = D₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8):7C2	96,155
(C₂xC₃:C₈):₈C₂ = Q₈.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8):8C2	96,157
(C₂xC₃:C₈):₉C₂ = D₆:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):9C2	96,27
(C₂xC₃:C₈):₁₀C₂ = C₁₂.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):10C2	96,37
(C₂xC₃:C₈):₁₁C₂ = C₂xC₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):11C2	96,107
(C₂xC₃:C₈):₁₂C₂ = C₂xC₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):12C2	96,128
(C₂xC₃:C₈):₁₃C₂ = S₃xC₂xC₈	φ: trivial image	48		(C2xC3:C8):13C2	96,106

Non-split extensions G=N.Q with N=C₂xC₃:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:C₈).₁C₂ = C₆.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).1C2	96,14
(C₂xC₃:C₈).₂C₂ = C₁₂.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).2C2	96,15
(C₂xC₃:C₈).₃C₂ = C₆.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).3C2	96,17
(C₂xC₃:C₈).₄C₂ = C₁₂.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8).4C2	96,29
(C₂xC₃:C₈).₅C₂ = Q₈:₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).5C2	96,42
(C₂xC₃:C₈).₆C₂ = C₂xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).6C2	96,150
(C₂xC₃:C₈).₇C₂ = C₄².S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).7C2	96,10
(C₂xC₃:C₈).₈C₂ = C₁₂:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).8C2	96,11
(C₂xC₃:C₈).₉C₂ = Dic₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).9C2	96,21
(C₂xC₃:C₈).₁₀C₂ = C₂₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).10C2	96,22
(C₂xC₃:C₈).₁₁C₂ = C₄xC₃:C₈	φ: trivial image	96		(C2xC3:C8).11C2	96,9
(C₂xC₃:C₈).₁₂C₂ = C₈xDic₃	φ: trivial image	96		(C2xC3:C8).12C2	96,20

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