Extensions 1→N→G→Q→1 with N=C₄×F₇ and Q=C₂

Direct product G=N×Q with N=C₄×F₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×F₇		56		C2xC4xF7	336,122

Semidirect products G=N:Q with N=C₄×F₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×F₇)⋊₁C₂ = D₄×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×F₇	28	12+	(C4xF7):1C2	336,125
(C₄×F₇)⋊₂C₂ = D₄⋊₂F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×F₇	56	12-	(C4xF7):2C2	336,126
(C₄×F₇)⋊₃C₂ = Q₈⋊₃F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×F₇	56	12+	(C4xF7):3C2	336,128
(C₄×F₇)⋊₄C₂ = D₂₈⋊₆C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×F₇	56	6	(C4xF7):4C2	336,124

Non-split extensions G=N.Q with N=C₄×F₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×F₇).₁C₂ = Q₈×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×F₇	56	12-	(C4xF7).1C2	336,127
(C₄×F₇).₂C₂ = C₈⋊F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×F₇	56	6	(C4xF7).2C2	336,8
(C₄×F₇).₃C₂ = C₈×F₇	φ: trivial image	56	6	(C4xF7).3C2	336,7

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