Extensions 1→N→G→Q→1 with N=C₂²×F₇ and Q=C₂

Direct product G=N×Q with N=C₂²×F₇ and Q=C₂

		d	ρ	Label	ID
C₂³×F₇		56		C2^3xF7	336,216

Semidirect products G=N:Q with N=C₂²×F₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×F₇)⋊₁C₂ = C₂×C₄⋊F₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²×F₇	56		(C2^2xF7):1C2	336,123
(C₂²×F₇)⋊₂C₂ = D₄×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²×F₇	28	12+	(C2^2xF7):2C2	336,125
(C₂²×F₇)⋊₃C₂ = C₂×Dic₇⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×F₇	56		(C2^2xF7):3C2	336,130

Non-split extensions G=N.Q with N=C₂²×F₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×F₇).C₂ = D₁₄⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×F₇	56		(C2^2xF7).C2	336,17
(C₂²×F₇).₂C₂ = C₂×C₄×F₇	φ: trivial image	56		(C2^2xF7).2C2	336,122

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Extensions 1→N→G→Q→1 with N=C22×F7 and Q=C2