Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂×C₁₀

Direct product G=N×Q with N=C₁₄ and Q=C₂×C₁₀

		d	ρ	Label	ID
C₂²×C₇₀		280		C2^2xC70	280,40

Semidirect products G=N:Q with N=C₁₄ and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊(C₂×C₁₀) = D₇×C₂×C₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	140		C14:(C2xC10)	280,37

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₂×C₁₀) = C₅×Dic₁₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	280	2	C14.1(C2xC10)	280,14
C₁₄.₂(C₂×C₁₀) = D₇×C₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	140	2	C14.2(C2xC10)	280,15
C₁₄.₃(C₂×C₁₀) = C₅×D₂₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	140	2	C14.3(C2xC10)	280,16
C₁₄.₄(C₂×C₁₀) = C₁₀×Dic₇	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	280		C14.4(C2xC10)	280,17
C₁₄.₅(C₂×C₁₀) = C₅×C₇⋊D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₄	140	2	C14.5(C2xC10)	280,18
C₁₄.₆(C₂×C₁₀) = D₄×C₃₅	central extension (φ=1)	140	2	C14.6(C2xC10)	280,30
C₁₄.₇(C₂×C₁₀) = Q₈×C₃₅	central extension (φ=1)	280	2	C14.7(C2xC10)	280,31

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