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
S₃×C₄₂		84	2	S3xC42	252,42

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⋊F₇	φ: C₃×S₃/C₃ → C₆ ⊆ Aut C₁₄	42	6+	C14:(C3xS3)	252,30
C₁₄⋊₂(C₃×S₃) = C₂×S₃×C₇⋊C₃	φ: C₃×S₃/S₃ → C₃ ⊆ Aut C₁₄	42	6	C14:2(C3xS3)	252,29
C₁₄⋊₃(C₃×S₃) = C₆×D₂₁	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₄	84	2	C14:3(C3xS3)	252,43

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) = C₆.F₇	φ: C₃×S₃/C₃ → C₆ ⊆ Aut C₁₄	84	6-	C14.(C3xS3)	252,18
C₁₄.₂(C₃×S₃) = Dic₃×C₇⋊C₃	φ: C₃×S₃/S₃ → C₃ ⊆ Aut C₁₄	84	6	C14.2(C3xS3)	252,17
C₁₄.₃(C₃×S₃) = C₃×Dic₂₁	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₄	84	2	C14.3(C3xS3)	252,22
C₁₄.₄(C₃×S₃) = Dic₃×C₂₁	central extension (φ=1)	84	2	C14.4(C3xS3)	252,21

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