Extensions 1→N→G→Q→1 with N=C₂²×D₇ and Q=S₃

Direct product G=N×Q with N=C₂²×D₇ and Q=S₃

		d	ρ	Label	ID
C₂²×S₃×D₇		84		C2^2xS3xD7	336,219

Semidirect products G=N:Q with N=C₂²×D₇ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇)⋊S₃ = D₇×S₄	φ: S₃/C₁ → S₃ ⊆ Out C₂²×D₇	28	6+	(C2^2xD7):S3	336,212
(C₂²×D₇)⋊₂S₃ = C₂×C₂₁⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₇	168		(C2^2xD7):2S3	336,157
(C₂²×D₇)⋊₃S₃ = C₂×C₃⋊D₂₈	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₇	168		(C2^2xD7):3S3	336,158
(C₂²×D₇)⋊₄S₃ = D₇×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₇	84	4	(C2^2xD7):4S3	336,161

Non-split extensions G=N.Q with N=C₂²×D₇ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇).S₃ = D₁₄⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₇	168		(C2^2xD7).S3	336,42
(C₂²×D₇).₂S₃ = C₂×Dic₃×D₇	φ: trivial image	168		(C2^2xD7).2S3	336,151

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