Extensions 1→N→G→Q→1 with N=C₂xC₁₄ and Q=C₈

Direct product G=NxQ with N=C₂xC₁₄ and Q=C₈

		d	ρ	Label	ID
C₂²xC₅₆		224		C2^2xC56	224,164

Semidirect products G=N:Q with N=C₂xC₁₄ and Q=C₈

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₁₄):₁C₈ = C₇xC₂²:C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₄	112	(C2xC14):1C8	224,47
(C₂xC₁₄):₂C₈ = C₂₈.₅₅D₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₄	112	(C2xC14):2C8	224,36
(C₂xC₁₄):₃C₈ = C₂²xC₇:C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₄	224	(C2xC14):3C8	224,115

Non-split extensions G=N.Q with N=C₂xC₁₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄).₁C₈ = C₇xM₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₄	112	2	(C2xC14).1C8	224,59
(C₂xC₁₄).₂C₈ = C₂xC₇:C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₄	224		(C2xC14).2C8	224,17
(C₂xC₁₄).₃C₈ = C₂₈.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₄	112	2	(C2xC14).3C8	224,18

Extensions 1→N→G→Q→1 with N=C2xC14 and Q=C8