Extensions 1→N→G→Q→1 with N=C₁₄ and Q=D₁₀

Direct product G=N×Q with N=C₁₄ and Q=D₁₀

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

Semidirect products G=N:Q with N=C₁₄ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁D₁₀ = C₂×D₅×D₇	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₄	70	4+	C14:1D10	280,36
C₁₄⋊₂D₁₀ = C₂²×D₃₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	140		C14:2D10	280,39

Non-split extensions G=N.Q with N=C₁₄ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁D₁₀ = D₇×Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₄	140	4-	C14.1D10	280,7
C₁₄.₂D₁₀ = D₅×Dic₇	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₄	140	4-	C14.2D10	280,8
C₁₄.₃D₁₀ = D₇₀.C₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₄	140	4+	C14.3D10	280,9
C₁₄.₄D₁₀ = C₃₅⋊D₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₄	140	4-	C14.4D10	280,10
C₁₄.₅D₁₀ = C₅⋊D₂₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₄	140	4+	C14.5D10	280,11
C₁₄.₆D₁₀ = C₇⋊D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₄	140	4+	C14.6D10	280,12
C₁₄.₇D₁₀ = C₃₅⋊Q₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₄	280	4-	C14.7D10	280,13
C₁₄.₈D₁₀ = Dic₇₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	280	2-	C14.8D10	280,24
C₁₄.₉D₁₀ = C₄×D₃₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	140	2	C14.9D10	280,25
C₁₄.₁₀D₁₀ = D₁₄₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	140	2+	C14.10D10	280,26
C₁₄.₁₁D₁₀ = C₂×Dic₃₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	280		C14.11D10	280,27
C₁₄.₁₂D₁₀ = C₃₅⋊₇D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	140	2	C14.12D10	280,28
C₁₄.₁₃D₁₀ = C₇×Dic₁₀	central extension (φ=1)	280	2	C14.13D10	280,19
C₁₄.₁₄D₁₀ = D₅×C₂₈	central extension (φ=1)	140	2	C14.14D10	280,20
C₁₄.₁₅D₁₀ = C₇×D₂₀	central extension (φ=1)	140	2	C14.15D10	280,21
C₁₄.₁₆D₁₀ = C₁₄×Dic₅	central extension (φ=1)	280		C14.16D10	280,22
C₁₄.₁₇D₁₀ = C₇×C₅⋊D₄	central extension (φ=1)	140	2	C14.17D10	280,23

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