Extensions 1→N→G→Q→1 with N=S₃×C₇ and Q=C₆

Direct product G=N×Q with N=S₃×C₇ and Q=C₆

		d	ρ	Label	ID
S₃×C₄₂		84	2	S3xC42	252,42

Semidirect products G=N:Q with N=S₃×C₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₇)⋊C₆ = S₃×F₇	φ: C₆/C₁ → C₆ ⊆ Out S₃×C₇	21	12+	(S3xC7):C6	252,26
(S₃×C₇)⋊₂C₆ = C₂×S₃×C₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Out S₃×C₇	42	6	(S3xC7):2C6	252,29
(S₃×C₇)⋊₃C₆ = C₃×S₃×D₇	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₇	42	4	(S3xC7):3C6	252,33

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