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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀⋊₁C₁₄ = C₁₄×D₁₅	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃₀	210	2	C30:1C14	420,39
C₃₀⋊₂C₁₄ = D₅×C₄₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃₀	210	2	C30:2C14	420,35
C₃₀⋊₃C₁₄ = S₃×C₇₀	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃₀	210	2	C30:3C14	420,37

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁C₁₄ = C₇×Dic₁₅	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃₀	420	2	C30.1C14	420,10
C₃₀.₂C₁₄ = Dic₅×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃₀	420	2	C30.2C14	420,6
C₃₀.₃C₁₄ = Dic₃×C₃₅	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃₀	420	2	C30.3C14	420,8

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