Extensions 1→N→G→Q→1 with N=C₂×C₄×D₇ and Q=C₂

Direct product G=N×Q with N=C₂×C₄×D₇ and Q=C₂

		d	ρ	Label	ID
D₇×C₂²×C₄		112		D7xC2^2xC4	224,175

Semidirect products G=N:Q with N=C₂×C₄×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄×D₇)⋊₁C₂ = C₄⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):1C2	224,90
(C₂×C₄×D₇)⋊₂C₂ = C₂₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):2C2	224,133
(C₂×C₄×D₇)⋊₃C₂ = C₂×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	56		(C2xC4xD7):3C2	224,178
(C₂×C₄×D₇)⋊₄C₂ = C₂×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):4C2	224,179
(C₂×C₄×D₇)⋊₅C₂ = C₂×Q₈⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):5C2	224,182
(C₂×C₄×D₇)⋊₆C₂ = D₇×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	56	4	(C2xC4xD7):6C2	224,184
(C₂×C₄×D₇)⋊₇C₂ = C₄×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):7C2	224,68
(C₂×C₄×D₇)⋊₈C₂ = D₇×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	56		(C2xC4xD7):8C2	224,75
(C₂×C₄×D₇)⋊₉C₂ = Dic₇⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):9C2	224,76
(C₂×C₄×D₇)⋊₁₀C₂ = D₁₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):10C2	224,78
(C₂×C₄×D₇)⋊₁₁C₂ = D₁₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):11C2	224,79
(C₂×C₄×D₇)⋊₁₂C₂ = D₂₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):12C2	224,88
(C₂×C₄×D₇)⋊₁₃C₂ = D₁₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):13C2	224,89
(C₂×C₄×D₇)⋊₁₄C₂ = C₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):14C2	224,123
(C₂×C₄×D₇)⋊₁₅C₂ = C₂×C₄○D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7):15C2	224,177

Non-split extensions G=N.Q with N=C₂×C₄×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄×D₇).₁C₂ = D₇×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).1C2	224,86
(C₂×C₄×D₇).₂C₂ = C₄⋊C₄⋊₇D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).2C2	224,87
(C₂×C₄×D₇).₃C₂ = D₁₄⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).3C2	224,92
(C₂×C₄×D₇).₄C₂ = D₇×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	56	4	(C2xC4xD7).4C2	224,101
(C₂×C₄×D₇).₅C₂ = D₁₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).5C2	224,141
(C₂×C₄×D₇).₆C₂ = C₂×Q₈×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).6C2	224,181
(C₂×C₄×D₇).₇C₂ = D₁₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).7C2	224,26
(C₂×C₄×D₇).₈C₂ = C₄²⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).8C2	224,67
(C₂×C₄×D₇).₉C₂ = D₁₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).9C2	224,91
(C₂×C₄×D₇).₁₀C₂ = C₂×C₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₇	112		(C2xC4xD7).10C2	224,95
(C₂×C₄×D₇).₁₁C₂ = D₇×C₄²	φ: trivial image	112		(C2xC4xD7).11C2	224,66
(C₂×C₄×D₇).₁₂C₂ = D₇×C₂×C₈	φ: trivial image	112		(C2xC4xD7).12C2	224,94

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