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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊₁D₇ = C₂×C₂₁⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×S₃	168		(C2^2xS3):1D7	336,157
(C₂²×S₃)⋊₂D₇ = C₂×C₇⋊D₁₂	φ: D₇/C₇ → C₂ ⊆ Out C₂²×S₃	168		(C2^2xS3):2D7	336,159
(C₂²×S₃)⋊₃D₇ = S₃×C₇⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²×S₃	84	4	(C2^2xS3):3D7	336,162

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).D₇ = D₆⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂²×S₃	168		(C2^2xS3).D7	336,43
(C₂²×S₃).₂D₇ = C₂×S₃×Dic₇	φ: trivial image	168		(C2^2xS3).2D7	336,154

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