Extensions 1→N→G→Q→1 with N=C₂xD₄ and Q=D₇

Direct product G=NxQ with N=C₂xD₄ and Q=D₇

		d	ρ	Label	ID
C₂xD₄xD₇		56		C2xD4xD7	224,178

Semidirect products G=N:Q with N=C₂xD₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄):₁D₇ = C₂xD₄:D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	112		(C2xD4):1D7	224,126
(C₂xD₄):₂D₇ = D₄.D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	56	4	(C2xD4):2D7	224,127
(C₂xD₄):₃D₇ = C₂³:D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	56		(C2xD4):3D7	224,132
(C₂xD₄):₄D₇ = C₂₈:₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	112		(C2xD4):4D7	224,133
(C₂xD₄):₅D₇ = Dic₇:D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	112		(C2xD4):5D7	224,134
(C₂xD₄):₆D₇ = C₂₈:D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	112		(C2xD4):6D7	224,135
(C₂xD₄):₇D₇ = D₄:₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	56	4	(C2xD4):7D7	224,180
(C₂xD₄):₈D₇ = C₂xD₄:₂D₇	φ: trivial image	112		(C2xD4):8D7	224,179

Non-split extensions G=N.Q with N=C₂xD₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄).₁D₇ = D₄:Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	112		(C2xD4).1D7	224,38
(C₂xD₄).₂D₇ = C₂₈.D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	56	4	(C2xD4).2D7	224,39
(C₂xD₄).₃D₇ = C₂³:Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	56	4	(C2xD4).3D7	224,40
(C₂xD₄).₄D₇ = C₂xD₄.D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	112		(C2xD4).4D7	224,128
(C₂xD₄).₅D₇ = C₂³.₁₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	112		(C2xD4).5D7	224,130
(C₂xD₄).₆D₇ = C₂₈.₁₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xD₄	112		(C2xD4).6D7	224,131
(C₂xD₄).₇D₇ = D₄xDic₇	φ: trivial image	112		(C2xD4).7D7	224,129

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