Extensions 1→N→G→Q→1 with N=C₂xDic₇ and Q=C₆

Direct product G=NxQ with N=C₂xDic₇ and Q=C₆

		d	ρ	Label	ID
C₂xC₆xDic₇		336		C2xC6xDic7	336,182

Semidirect products G=N:Q with N=C₂xDic₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₇):₁C₆ = D₁₄:C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂xDic₇	56		(C2xDic7):1C6	336,17
(C₂xDic₇):₂C₆ = C₂³.₂F₇	φ: C₆/C₁ → C₆ ⊆ Out C₂xDic₇	56		(C2xDic7):2C6	336,22
(C₂xDic₇):₃C₆ = D₄:₂F₇	φ: C₆/C₁ → C₆ ⊆ Out C₂xDic₇	56	12-	(C2xDic7):3C6	336,126
(C₂xDic₇):₄C₆ = C₂xDic₇:C₆	φ: C₆/C₁ → C₆ ⊆ Out C₂xDic₇	56		(C2xDic7):4C6	336,130
(C₂xDic₇):₅C₆ = C₂xC₄xF₇	φ: C₆/C₂ → C₃ ⊆ Out C₂xDic₇	56		(C2xDic7):5C6	336,122
(C₂xDic₇):₆C₆ = C₂²xC₇:C₁₂	φ: C₆/C₂ → C₃ ⊆ Out C₂xDic₇	112		(C2xDic7):6C6	336,129
(C₂xDic₇):₇C₆ = C₃xD₁₄:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xDic₇	168		(C2xDic7):7C6	336,68
(C₂xDic₇):₈C₆ = C₃xC₂³.D₇	φ: C₆/C₃ → C₂ ⊆ Out C₂xDic₇	168		(C2xDic7):8C6	336,73
(C₂xDic₇):₉C₆ = C₃xD₄:₂D₇	φ: C₆/C₃ → C₂ ⊆ Out C₂xDic₇	168	4	(C2xDic7):9C6	336,179
(C₂xDic₇):₁₀C₆ = C₆xC₇:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xDic₇	168		(C2xDic7):10C6	336,183
(C₂xDic₇):₁₁C₆ = D₇xC₂xC₁₂	φ: trivial image	168		(C2xDic7):11C6	336,175

Non-split extensions G=N.Q with N=C₂xDic₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₇).₁C₆ = Dic₇:C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂xDic₇	112		(C2xDic7).1C6	336,15
(C₂xDic₇).₂C₆ = C₂₈:C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂xDic₇	112		(C2xDic7).2C6	336,16
(C₂xDic₇).₃C₆ = C₂xC₄.F₇	φ: C₆/C₁ → C₆ ⊆ Out C₂xDic₇	112		(C2xDic7).3C6	336,121
(C₂xDic₇).₄C₆ = C₄xC₇:C₁₂	φ: C₆/C₂ → C₃ ⊆ Out C₂xDic₇	112		(C2xDic7).4C6	336,14
(C₂xDic₇).₅C₆ = C₃xDic₇:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xDic₇	336		(C2xDic7).5C6	336,66
(C₂xDic₇).₆C₆ = C₃xC₄:Dic₇	φ: C₆/C₃ → C₂ ⊆ Out C₂xDic₇	336		(C2xDic7).6C6	336,67
(C₂xDic₇).₇C₆ = C₆xDic₁₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xDic₇	336		(C2xDic7).7C6	336,174
(C₂xDic₇).₈C₆ = C₁₂xDic₇	φ: trivial image	336		(C2xDic7).8C6	336,65

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