Extensions 1→N→G→Q→1 with N=C₂xC₃:C₈ and Q=C₆

Direct product G=NxQ with N=C₂xC₃:C₈ and Q=C₆

		d	ρ	Label	ID
C₂xC₆xC₃:C₈		96		C2xC6xC3:C8	288,691

Semidirect products G=N:Q with N=C₂xC₃:C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:C₈):₁C₆ = C₃xC₆.D₈	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8):1C6	288,243
(C₂xC₃:C₈):₂C₆ = C₃xD₄:Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):2C6	288,266
(C₂xC₃:C₈):₃C₆ = C₃xD₁₂.C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8):3C6	288,678
(C₂xC₃:C₈):₄C₆ = C₆xD₄:S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):4C6	288,702
(C₂xC₃:C₈):₅C₆ = C₆xD₄.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):5C6	288,704
(C₂xC₃:C₈):₆C₆ = C₆xQ₈:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8):6C6	288,712
(C₂xC₃:C₈):₇C₆ = C₃xD₄.Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8):7C6	288,719
(C₂xC₃:C₈):₈C₆ = C₃xQ₈.₁₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8):8C6	288,721
(C₂xC₃:C₈):₉C₆ = C₃xD₆:C₈	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8):9C6	288,254
(C₂xC₃:C₈):₁₀C₆ = C₃xC₁₂.₅₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):10C6	288,264
(C₂xC₃:C₈):₁₁C₆ = C₆xC₈:S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8):11C6	288,671
(C₂xC₃:C₈):₁₂C₆ = C₆xC₄.Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):12C6	288,692
(C₂xC₃:C₈):₁₃C₆ = S₃xC₂xC₂₄	φ: trivial image	96		(C2xC3:C8):13C6	288,670

Non-split extensions G=N.Q with N=C₂xC₃:C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:C₈).₁C₆ = C₃xC₆.Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).1C6	288,241
(C₂xC₃:C₈).₂C₆ = C₃xC₁₂.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).2C6	288,242
(C₂xC₃:C₈).₃C₆ = C₃xC₆.SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).3C6	288,244
(C₂xC₃:C₈).₄C₆ = C₃xC₁₂.₅₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8).4C6	288,256
(C₂xC₃:C₈).₅C₆ = C₃xQ₈:₂Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).5C6	288,269
(C₂xC₃:C₈).₆C₆ = C₆xC₃:Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).6C6	288,714
(C₂xC₃:C₈).₇C₆ = C₃xC₄².S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).7C6	288,237
(C₂xC₃:C₈).₈C₆ = C₃xC₁₂:C₈	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).8C6	288,238
(C₂xC₃:C₈).₉C₆ = C₃xDic₃:C₈	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).9C6	288,248
(C₂xC₃:C₈).₁₀C₆ = C₃xC₂₄:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).10C6	288,249
(C₂xC₃:C₈).₁₁C₆ = C₁₂xC₃:C₈	φ: trivial image	96		(C2xC3:C8).11C6	288,236
(C₂xC₃:C₈).₁₂C₆ = Dic₃xC₂₄	φ: trivial image	96		(C2xC3:C8).12C6	288,247

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