Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₁₄

Direct product G=NxQ with N=C₂xC₄ and Q=C₁₄

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

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁C₁₄ = C₇xC₂²:C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂xC₄	56		(C2xC4):1C14	112,20
(C₂xC₄):₂C₁₄ = D₄xC₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂xC₄	56		(C2xC4):2C14	112,38
(C₂xC₄):₃C₁₄ = C₇xC₄oD₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂xC₄	56	2	(C2xC4):3C14	112,40

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁C₁₄ = C₇xC₄:C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂xC₄	112		(C2xC4).1C14	112,21
(C₂xC₄).₂C₁₄ = C₇xM₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂xC₄	56	2	(C2xC4).2C14	112,23
(C₂xC₄).₃C₁₄ = Q₈xC₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂xC₄	112		(C2xC4).3C14	112,39

Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C14