Extensions 1→N→G→Q→1 with N=C₂²xC₁₄ and Q=C₆

Direct product G=NxQ with N=C₂²xC₁₄ and Q=C₆

		d	ρ	Label	ID
C₂³xC₄₂		336		C2^3xC42	336,228

Semidirect products G=N:Q with N=C₂²xC₁₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₄):₁C₆ = C₂xA₄xD₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₄	42	6+	(C2^2xC14):1C6	336,217
(C₂²xC₁₄):₂C₆ = C₂xDic₇:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₄	56		(C2^2xC14):2C6	336,130
(C₂²xC₁₄):₃C₆ = C₂³xF₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₄	56		(C2^2xC14):3C6	336,216
(C₂²xC₁₄):₄C₆ = C₂xD₇:A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₄	42	6+	(C2^2xC14):4C6	336,218
(C₂²xC₁₄):₅C₆ = C₂xD₄xC₇:C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₄	56		(C2^2xC14):5C6	336,165
(C₂²xC₁₄):₆C₆ = A₄xC₂xC₁₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₄	84		(C2^2xC14):6C6	336,221
(C₂²xC₁₄):₇C₆ = C₂⁴xC₇:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₄	112		(C2^2xC14):7C6	336,220
(C₂²xC₁₄):₈C₆ = C₂²xC₇:A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₄	84		(C2^2xC14):8C6	336,222
(C₂²xC₁₄):₉C₆ = D₄xC₄₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₄	168		(C2^2xC14):9C6	336,205
(C₂²xC₁₄):₁₀C₆ = C₆xC₇:D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₄	168		(C2^2xC14):10C6	336,183
(C₂²xC₁₄):₁₁C₆ = D₇xC₂²xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₄	168		(C2^2xC14):11C6	336,225

Non-split extensions G=N.Q with N=C₂²xC₁₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₄).₁C₆ = A₄xDic₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₄	84	6-	(C2^2xC14).1C6	336,133
(C₂²xC₁₄).₂C₆ = C₂³.₂F₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₄	56		(C2^2xC14).2C6	336,22
(C₂²xC₁₄).₃C₆ = C₂²xC₇:C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₄	112		(C2^2xC14).3C6	336,129
(C₂²xC₁₄).₄C₆ = Dic₇:A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₄	84	6-	(C2^2xC14).4C6	336,136
(C₂²xC₁₄).₅C₆ = C₂²:C₄xC₇:C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₄	56		(C2^2xC14).5C6	336,49
(C₂²xC₁₄).₆C₆ = A₄xC₂₈	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₄	84	3	(C2^2xC14).6C6	336,168
(C₂²xC₁₄).₇C₆ = C₂²xC₄xC₇:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₄	112		(C2^2xC14).7C6	336,164
(C₂²xC₁₄).₈C₆ = C₄xC₇:A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₄	84	3	(C2^2xC14).8C6	336,171
(C₂²xC₁₄).₉C₆ = C₂²:C₄xC₂₁	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₄	168		(C2^2xC14).9C6	336,107
(C₂²xC₁₄).₁₀C₆ = C₃xC₂³.D₇	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₄	168		(C2^2xC14).10C6	336,73
(C₂²xC₁₄).₁₁C₆ = C₂xC₆xDic₇	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₄	336		(C2^2xC14).11C6	336,182

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