Extensions 1→N→G→Q→1 with N=C₂²xF₇ and Q=C₂

Direct product G=NxQ with N=C₂²xF₇ and Q=C₂

		d	ρ	Label	ID
C₂³xF₇		56		C2^3xF7	336,216

Semidirect products G=N:Q with N=C₂²xF₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xF₇):₁C₂ = C₂xC₄:F₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xF₇	56		(C2^2xF7):1C2	336,123
(C₂²xF₇):₂C₂ = D₄xF₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xF₇	28	12+	(C2^2xF7):2C2	336,125
(C₂²xF₇):₃C₂ = C₂xDic₇:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²xF₇	56		(C2^2xF7):3C2	336,130

Non-split extensions G=N.Q with N=C₂²xF₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xF₇).C₂ = D₁₄:C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²xF₇	56		(C2^2xF7).C2	336,17
(C₂²xF₇).₂C₂ = C₂xC₄xF₇	φ: trivial image	56		(C2^2xF7).2C2	336,122

Extensions 1→N→G→Q→1 with N=C22xF7 and Q=C2