Extensions 1→N→G→Q→1 with N=C₂×C₁₄ and Q=D₅

Direct product G=N×Q with N=C₂×C₁₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₂×C₁₄		140		D5xC2xC14	280,38

Semidirect products G=N:Q with N=C₂×C₁₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄)⋊₁D₅ = C₇×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₄	140	2	(C2xC14):1D5	280,23
(C₂×C₁₄)⋊₂D₅ = C₃₅⋊₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₄	140	2	(C2xC14):2D5	280,28
(C₂×C₁₄)⋊₃D₅ = C₂²×D₃₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₄	140		(C2xC14):3D5	280,39

Non-split extensions G=N.Q with N=C₂×C₁₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).D₅ = C₂×Dic₃₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₄	280		(C2xC14).D5	280,27
(C₂×C₁₄).₂D₅ = C₁₄×Dic₅	central extension (φ=1)	280		(C2xC14).2D5	280,22

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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=D5