Extensions 1→N→G→Q→1 with N=C₂×C₁₄ and Q=C₆

Direct product G=N×Q with N=C₂×C₁₄ and Q=C₆

		d	ρ	Label	ID
C₂²×C₄₂		168		C2^2xC42	168,57

Semidirect products G=N:Q with N=C₂×C₁₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄)⋊₁C₆ = A₄×D₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₁₄	28	6+	(C2xC14):1C6	168,48
(C₂×C₁₄)⋊₂C₆ = D₇⋊A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₁₄	28	6+	(C2xC14):2C6	168,49
(C₂×C₁₄)⋊₃C₆ = Dic₇⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₁₄	28	6	(C2xC14):3C6	168,11
(C₂×C₁₄)⋊₄C₆ = C₂²×F₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₁₄	28		(C2xC14):4C6	168,47
(C₂×C₁₄)⋊₅C₆ = D₄×C₇⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₁₄	28	6	(C2xC14):5C6	168,20
(C₂×C₁₄)⋊₆C₆ = A₄×C₁₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₁₄	42	3	(C2xC14):6C6	168,52
(C₂×C₁₄)⋊₇C₆ = C₂×C₇⋊A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₁₄	42	3	(C2xC14):7C6	168,53
(C₂×C₁₄)⋊₈C₆ = C₂³×C₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₁₄	56		(C2xC14):8C6	168,51
(C₂×C₁₄)⋊₉C₆ = D₄×C₂₁	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₄	84	2	(C2xC14):9C6	168,40
(C₂×C₁₄)⋊₁₀C₆ = C₃×C₇⋊D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₄	84	2	(C2xC14):10C6	168,28
(C₂×C₁₄)⋊₁₁C₆ = C₂×C₆×D₇	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₄	84		(C2xC14):11C6	168,54

Non-split extensions G=N.Q with N=C₂×C₁₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).C₆ = C₂×C₇⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₁₄	56		(C2xC14).C6	168,10
(C₂×C₁₄).₂C₆ = C₂×C₄×C₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₁₄	56		(C2xC14).2C6	168,19
(C₂×C₁₄).₃C₆ = C₆×Dic₇	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₄	168		(C2xC14).3C6	168,27

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