Extensions 1→N→G→Q→1 with N=C₂xC₁₄ and Q=D₅

Direct product G=NxQ with N=C₂xC₁₄ and Q=D₅

		d	ρ	Label	ID
D₅xC₂xC₁₄		140		D5xC2xC14	280,38

Semidirect products G=N:Q with N=C₂xC₁₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄):₁D₅ = C₇xC₅:D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₄	140	2	(C2xC14):1D5	280,23
(C₂xC₁₄):₂D₅ = C₃₅:₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₄	140	2	(C2xC14):2D5	280,28
(C₂xC₁₄):₃D₅ = C₂²xD₃₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₄	140		(C2xC14):3D5	280,39

Non-split extensions G=N.Q with N=C₂xC₁₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄).D₅ = C₂xDic₃₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₄	280		(C2xC14).D5	280,27
(C₂xC₁₄).₂D₅ = C₁₄xDic₅	central extension (φ=1)	280		(C2xC14).2D5	280,22

Extensions 1→N→G→Q→1 with N=C2xC14 and Q=D5