Extensions 1→N→G→Q→1 with N=C₂²xD₇ and Q=C₆

Direct product G=NxQ with N=C₂²xD₇ and Q=C₆

		d	ρ	Label	ID
D₇xC₂²xC₆		168		D7xC2^2xC6	336,225

Semidirect products G=N:Q with N=C₂²xD₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xD₇):₁C₆ = C₂xC₄:F₇	φ: C₆/C₁ → C₆ ⊆ Out C₂²xD₇	56		(C2^2xD7):1C6	336,123
(C₂²xD₇):₂C₆ = D₄xF₇	φ: C₆/C₁ → C₆ ⊆ Out C₂²xD₇	28	12+	(C2^2xD7):2C6	336,125
(C₂²xD₇):₃C₆ = C₂xDic₇:C₆	φ: C₆/C₁ → C₆ ⊆ Out C₂²xD₇	56		(C2^2xD7):3C6	336,130
(C₂²xD₇):₄C₆ = C₂xA₄xD₇	φ: C₆/C₂ → C₃ ⊆ Out C₂²xD₇	42	6+	(C2^2xD7):4C6	336,217
(C₂²xD₇):₅C₆ = C₂xD₇:A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂²xD₇	42	6+	(C2^2xD7):5C6	336,218
(C₂²xD₇):₆C₆ = C₂³xF₇	φ: C₆/C₂ → C₃ ⊆ Out C₂²xD₇	56		(C2^2xD7):6C6	336,216
(C₂²xD₇):₇C₆ = C₆xD₂₈	φ: C₆/C₃ → C₂ ⊆ Out C₂²xD₇	168		(C2^2xD7):7C6	336,176
(C₂²xD₇):₈C₆ = C₃xD₄xD₇	φ: C₆/C₃ → C₂ ⊆ Out C₂²xD₇	84	4	(C2^2xD7):8C6	336,178
(C₂²xD₇):₉C₆ = C₆xC₇:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xD₇	168		(C2^2xD7):9C6	336,183

Non-split extensions G=N.Q with N=C₂²xD₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xD₇).C₆ = D₁₄:C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂²xD₇	56		(C2^2xD7).C6	336,17
(C₂²xD₇).₂C₆ = C₂xC₄xF₇	φ: C₆/C₂ → C₃ ⊆ Out C₂²xD₇	56		(C2^2xD7).2C6	336,122
(C₂²xD₇).₃C₆ = C₃xD₁₄:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xD₇	168		(C2^2xD7).3C6	336,68
(C₂²xD₇).₄C₆ = D₇xC₂xC₁₂	φ: trivial image	168		(C2^2xD7).4C6	336,175

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