Extensions 1→N→G→Q→1 with N=D₄×C₇⋊C₃ and Q=C₂

Direct product G=N×Q with N=D₄×C₇⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂×D₄×C₇⋊C₃		56		C2xD4xC7:C3	336,165

Semidirect products G=N:Q with N=D₄×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₇⋊C₃)⋊₁C₂ = D₄⋊F₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₇⋊C₃	56	12+	(D4xC7:C3):1C2	336,18
(D₄×C₇⋊C₃)⋊₂C₂ = D₄×F₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₇⋊C₃	28	12+	(D4xC7:C3):2C2	336,125
(D₄×C₇⋊C₃)⋊₃C₂ = D₄⋊₂F₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₇⋊C₃	56	12-	(D4xC7:C3):3C2	336,126
(D₄×C₇⋊C₃)⋊₄C₂ = D₈×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₇⋊C₃	56	6	(D4xC7:C3):4C2	336,53
(D₄×C₇⋊C₃)⋊₅C₂ = C₄○D₄×C₇⋊C₃	φ: trivial image	56	6	(D4xC7:C3):5C2	336,167

Non-split extensions G=N.Q with N=D₄×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₇⋊C₃).₁C₂ = D₄.F₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₇⋊C₃	56	12-	(D4xC7:C3).1C2	336,19
(D₄×C₇⋊C₃).₂C₂ = SD₁₆×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₇⋊C₃	56	6	(D4xC7:C3).2C2	336,54

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