Extensions 1→N→G→Q→1 with N=C₃³ and Q=C₁₄

Direct product G=N×Q with N=C₃³ and Q=C₁₄

		d	ρ	Label	ID
C₃²×C₄₂		378		C3^2xC42	378,60

Semidirect products G=N:Q with N=C₃³ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊₁C₁₄ = S₃×C₃×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃³	126		C3^3:1C14	378,54
C₃³⋊₂C₁₄ = C₃⋊S₃×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃³	126		C3^3:2C14	378,56
C₃³⋊₃C₁₄ = C₇×C₃³⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₃³	189		C3^3:3C14	378,58

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