Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₃⋊S₃

Direct product G=N×Q with N=C₁₄ and Q=C₃⋊S₃

		d	ρ	Label	ID
C₁₄×C₃⋊S₃		126		C14xC3:S3	252,44

Semidirect products G=N:Q with N=C₁₄ and Q=C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊(C₃⋊S₃) = C₂×C₃⋊D₂₁	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₄	126		C14:(C3:S3)	252,45

Non-split extensions G=N.Q with N=C₁₄ and Q=C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.(C₃⋊S₃) = C₃⋊Dic₂₁	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₄	252		C14.(C3:S3)	252,24
C₁₄.₂(C₃⋊S₃) = C₇×C₃⋊Dic₃	central extension (φ=1)	252		C14.2(C3:S3)	252,23

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Extensions 1→N→G→Q→1 with N=C14 and Q=C3⋊S3