Extensions 1→N→G→Q→1 with N=C₂²×C₁₄ and Q=C₆

Direct product G=N×Q with N=C₂²×C₁₄ and Q=C₆

		d	ρ	Label	ID
C₂³×C₄₂		336		C2^3xC42	336,228

Semidirect products G=N:Q with N=C₂²×C₁₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₁₄)⋊₁C₆ = C₂×A₄×D₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₄	42	6+	(C2^2xC14):1C6	336,217
(C₂²×C₁₄)⋊₂C₆ = C₂×Dic₇⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₄	56		(C2^2xC14):2C6	336,130
(C₂²×C₁₄)⋊₃C₆ = C₂³×F₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₄	56		(C2^2xC14):3C6	336,216
(C₂²×C₁₄)⋊₄C₆ = C₂×D₇⋊A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₄	42	6+	(C2^2xC14):4C6	336,218
(C₂²×C₁₄)⋊₅C₆ = C₂×D₄×C₇⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₄	56		(C2^2xC14):5C6	336,165
(C₂²×C₁₄)⋊₆C₆ = A₄×C₂×C₁₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₁₄	84		(C2^2xC14):6C6	336,221
(C₂²×C₁₄)⋊₇C₆ = C₂⁴×C₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₁₄	112		(C2^2xC14):7C6	336,220
(C₂²×C₁₄)⋊₈C₆ = C₂²×C₇⋊A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₁₄	84		(C2^2xC14):8C6	336,222
(C₂²×C₁₄)⋊₉C₆ = D₄×C₄₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₄	168		(C2^2xC14):9C6	336,205
(C₂²×C₁₄)⋊₁₀C₆ = C₆×C₇⋊D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₄	168		(C2^2xC14):10C6	336,183
(C₂²×C₁₄)⋊₁₁C₆ = D₇×C₂²×C₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₄	168		(C2^2xC14):11C6	336,225

Non-split extensions G=N.Q with N=C₂²×C₁₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₁₄).₁C₆ = A₄×Dic₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₄	84	6-	(C2^2xC14).1C6	336,133
(C₂²×C₁₄).₂C₆ = C₂³.₂F₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₄	56		(C2^2xC14).2C6	336,22
(C₂²×C₁₄).₃C₆ = C₂²×C₇⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₄	112		(C2^2xC14).3C6	336,129
(C₂²×C₁₄).₄C₆ = Dic₇⋊A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₄	84	6-	(C2^2xC14).4C6	336,136
(C₂²×C₁₄).₅C₆ = C₂²⋊C₄×C₇⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₄	56		(C2^2xC14).5C6	336,49
(C₂²×C₁₄).₆C₆ = A₄×C₂₈	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₁₄	84	3	(C2^2xC14).6C6	336,168
(C₂²×C₁₄).₇C₆ = C₂²×C₄×C₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₁₄	112		(C2^2xC14).7C6	336,164
(C₂²×C₁₄).₈C₆ = C₄×C₇⋊A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₁₄	84	3	(C2^2xC14).8C6	336,171
(C₂²×C₁₄).₉C₆ = C₂²⋊C₄×C₂₁	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₄	168		(C2^2xC14).9C6	336,107
(C₂²×C₁₄).₁₀C₆ = C₃×C₂³.D₇	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₄	168		(C2^2xC14).10C6	336,73
(C₂²×C₁₄).₁₁C₆ = C₂×C₆×Dic₇	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₄	336		(C2^2xC14).11C6	336,182

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