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

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

		d	ρ	Label	ID
D₄×C₁₄		56		D4xC14	112,38

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄)⋊₁C₂ = D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₄	56	4+	(C7xD4):1C2	112,14
(C₇×D₄)⋊₂C₂ = D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₄	28	4+	(C7xD4):2C2	112,31
(C₇×D₄)⋊₃C₂ = D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₄	56	4-	(C7xD4):3C2	112,32
(C₇×D₄)⋊₄C₂ = C₇×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₄	56	2	(C7xD4):4C2	112,24
(C₇×D₄)⋊₅C₂ = C₇×C₄○D₄	φ: trivial image	56	2	(C7xD4):5C2	112,40

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄).₁C₂ = D₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₄	56	4-	(C7xD4).1C2	112,15
(C₇×D₄).₂C₂ = C₇×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₄	56	2	(C7xD4).2C2	112,25

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