Extensions 1→N→G→Q→1 with N=C₂xC₁₄ and Q=C₁₂

Direct product G=NxQ with N=C₂xC₁₄ and Q=C₁₂

		d	ρ	Label	ID
C₂²xC₈₄		336		C2^2xC84	336,204

Semidirect products G=N:Q with N=C₂xC₁₄ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄):₁C₁₂ = A₄xDic₇	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂xC₁₄	84	6-	(C2xC14):1C12	336,133
(C₂xC₁₄):₂C₁₂ = Dic₇:A₄	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂xC₁₄	84	6-	(C2xC14):2C12	336,136
(C₂xC₁₄):₃C₁₂ = C₂³.₂F₇	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂xC₁₄	56		(C2xC14):3C12	336,22
(C₂xC₁₄):₄C₁₂ = C₂²xC₇:C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂xC₁₄	112		(C2xC14):4C12	336,129
(C₂xC₁₄):₅C₁₂ = C₂²:C₄xC₇:C₃	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂xC₁₄	56		(C2xC14):5C12	336,49
(C₂xC₁₄):₆C₁₂ = A₄xC₂₈	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂xC₁₄	84	3	(C2xC14):6C12	336,168
(C₂xC₁₄):₇C₁₂ = C₄xC₇:A₄	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂xC₁₄	84	3	(C2xC14):7C12	336,171
(C₂xC₁₄):₈C₁₂ = C₂²xC₄xC₇:C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂xC₁₄	112		(C2xC14):8C12	336,164
(C₂xC₁₄):₉C₁₂ = C₂²:C₄xC₂₁	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂xC₁₄	168		(C2xC14):9C12	336,107
(C₂xC₁₄):₁₀C₁₂ = C₃xC₂³.D₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂xC₁₄	168		(C2xC14):10C12	336,73
(C₂xC₁₄):₁₁C₁₂ = C₂xC₆xDic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂xC₁₄	336		(C2xC14):11C12	336,182

Non-split extensions G=N.Q with N=C₂xC₁₄ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄).₁C₁₂ = C₂xC₇:C₂₄	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂xC₁₄	112		(C2xC14).1C12	336,12
(C₂xC₁₄).₂C₁₂ = C₂₈.C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂xC₁₄	56	6	(C2xC14).2C12	336,13
(C₂xC₁₄).₃C₁₂ = M₄(2)xC₇:C₃	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂xC₁₄	56	6	(C2xC14).3C12	336,52
(C₂xC₁₄).₄C₁₂ = C₂xC₈xC₇:C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂xC₁₄	112		(C2xC14).4C12	336,51
(C₂xC₁₄).₅C₁₂ = M₄(2)xC₂₁	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂xC₁₄	168	2	(C2xC14).5C12	336,110
(C₂xC₁₄).₆C₁₂ = C₆xC₇:C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂xC₁₄	336		(C2xC14).6C12	336,63
(C₂xC₁₄).₇C₁₂ = C₃xC₄.Dic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂xC₁₄	168	2	(C2xC14).7C12	336,64

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