Extensions 1→N→G→Q→1 with N=C₂xC₁₄ and Q=C₆

Direct product G=NxQ with N=C₂xC₁₄ and Q=C₆

		d	ρ	Label	ID
C₂²xC₄₂		168		C2^2xC42	168,57

Semidirect products G=N:Q with N=C₂xC₁₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄):₁C₆ = A₄xD₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₁₄	28	6+	(C2xC14):1C6	168,48
(C₂xC₁₄):₂C₆ = D₇:A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₁₄	28	6+	(C2xC14):2C6	168,49
(C₂xC₁₄):₃C₆ = Dic₇:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₁₄	28	6	(C2xC14):3C6	168,11
(C₂xC₁₄):₄C₆ = C₂²xF₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₁₄	28		(C2xC14):4C6	168,47
(C₂xC₁₄):₅C₆ = D₄xC₇:C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₁₄	28	6	(C2xC14):5C6	168,20
(C₂xC₁₄):₆C₆ = A₄xC₁₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂xC₁₄	42	3	(C2xC14):6C6	168,52
(C₂xC₁₄):₇C₆ = C₂xC₇:A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂xC₁₄	42	3	(C2xC14):7C6	168,53
(C₂xC₁₄):₈C₆ = C₂³xC₇:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂xC₁₄	56		(C2xC14):8C6	168,51
(C₂xC₁₄):₉C₆ = D₄xC₂₁	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₁₄	84	2	(C2xC14):9C6	168,40
(C₂xC₁₄):₁₀C₆ = C₃xC₇:D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₁₄	84	2	(C2xC14):10C6	168,28
(C₂xC₁₄):₁₁C₆ = C₂xC₆xD₇	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₁₄	84		(C2xC14):11C6	168,54

Non-split extensions G=N.Q with N=C₂xC₁₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄).C₆ = C₂xC₇:C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₂xC₁₄	56		(C2xC14).C6	168,10
(C₂xC₁₄).₂C₆ = C₂xC₄xC₇:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂xC₁₄	56		(C2xC14).2C6	168,19
(C₂xC₁₄).₃C₆ = C₆xDic₇	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₁₄	168		(C2xC14).3C6	168,27

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