Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₃₀

Direct product G=N×Q with N=C₁₄ and Q=C₃₀

		d	ρ	Label	ID
C₂×C₂₁₀		420		C2xC210	420,41

Semidirect products G=N:Q with N=C₁₄ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊C₃₀ = C₁₀×F₇	φ: C₃₀/C₅ → C₆ ⊆ Aut C₁₄	70	6	C14:C30	420,17
C₁₄⋊₂C₃₀ = C₂×C₁₀×C₇⋊C₃	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₁₄	140		C14:2C30	420,31
C₁₄⋊₃C₃₀ = D₇×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₁₄	210	2	C14:3C30	420,34

Non-split extensions G=N.Q with N=C₁₄ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.C₃₀ = C₅×C₇⋊C₁₂	φ: C₃₀/C₅ → C₆ ⊆ Aut C₁₄	140	6	C14.C30	420,1
C₁₄.₂C₃₀ = C₂₀×C₇⋊C₃	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₁₄	140	3	C14.2C30	420,4
C₁₄.₃C₃₀ = C₁₅×Dic₇	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₁₄	420	2	C14.3C30	420,5

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Extensions 1→N→G→Q→1 with N=C14 and Q=C30