Extensions 1→N→G→Q→1 with N=C₂xC₃:D₄ and Q=C₆

Direct product G=NxQ with N=C₂xC₃:D₄ and Q=C₆

		d	ρ	Label	ID
C₂xC₆xC₃:D₄		48		C2xC6xC3:D4	288,1002

Semidirect products G=N:Q with N=C₂xC₃:D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:D₄):₁C₆ = C₃xD₆:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):1C6	288,653
(C₂xC₃:D₄):₂C₆ = C₃xDic₃:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):2C6	288,655
(C₂xC₃:D₄):₃C₆ = C₃xC₁₂:₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):3C6	288,701
(C₂xC₃:D₄):₄C₆ = C₃xC₂³:₂D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):4C6	288,708
(C₂xC₃:D₄):₅C₆ = C₃xD₆:₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):5C6	288,709
(C₂xC₃:D₄):₆C₆ = C₃xC₂³.₁₄D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):6C6	288,710
(C₂xC₃:D₄):₇C₆ = C₃xC₁₂:₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):7C6	288,711
(C₂xC₃:D₄):₈C₆ = C₃xC₂⁴:₄S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	24		(C2xC3:D4):8C6	288,724
(C₂xC₃:D₄):₉C₆ = S₃xC₆xD₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):9C6	288,992
(C₂xC₃:D₄):₁₀C₆ = C₆xD₄:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):10C6	288,993
(C₂xC₃:D₄):₁₁C₆ = C₃xD₄:₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	24	4	(C2xC3:D4):11C6	288,994
(C₂xC₃:D₄):₁₂C₆ = C₆xC₄oD₁₂	φ: trivial image	48		(C2xC3:D4):12C6	288,991

Non-split extensions G=N.Q with N=C₂xC₃:D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:D₄).₁C₆ = C₃xC₂³.₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	24	4	(C2xC3:D4).1C6	288,240
(C₂xC₃:D₄).₂C₆ = C₃xDic₃:₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4).2C6	288,652
(C₂xC₃:D₄).₃C₆ = C₃xC₂³.₉D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4).3C6	288,654
(C₂xC₃:D₄).₄C₆ = C₃xC₂³.₁₁D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4).4C6	288,656
(C₂xC₃:D₄).₅C₆ = C₃xC₂³.₂₁D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4).5C6	288,657
(C₂xC₃:D₄).₆C₆ = C₃xC₂³.₂₈D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4).6C6	288,700
(C₂xC₃:D₄).₇C₆ = C₁₂xC₃:D₄	φ: trivial image	48		(C2xC3:D4).7C6	288,699

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