Extensions 1→N→G→Q→1 with N=C₂xC₁₄ and Q=C₄

Direct product G=NxQ with N=C₂xC₁₄ and Q=C₄

		d	ρ	Label	ID
C₂²xC₂₈		112		C2^2xC28	112,37

Semidirect products G=N:Q with N=C₂xC₁₄ and Q=C₄

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₁₄):₁C₄ = C₇xC₂²:C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₄	56	(C2xC14):1C4	112,20
(C₂xC₁₄):₂C₄ = C₂³.D₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₄	56	(C2xC14):2C4	112,18
(C₂xC₁₄):₃C₄ = C₂²xDic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₄	112	(C2xC14):3C4	112,35

Non-split extensions G=N.Q with N=C₂xC₁₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄).₁C₄ = C₇xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₄	56	2	(C2xC14).1C4	112,23
(C₂xC₁₄).₂C₄ = C₂xC₇:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₄	112		(C2xC14).2C4	112,8
(C₂xC₁₄).₃C₄ = C₄.Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₄	56	2	(C2xC14).3C4	112,9

Extensions 1→N→G→Q→1 with N=C2xC14 and Q=C4