Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=D₇

Direct product G=N×Q with N=C₂×D₄ and Q=D₇

		d	ρ	Label	ID
C₂×D₄×D₇		56		C2xD4xD7	224,178

Semidirect products G=N:Q with N=C₂×D₄ and Q=D₇

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

Non-split extensions G=N.Q with N=C₂×D₄ and Q=D₇

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

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