Extensions 1→N→G→Q→1 with N=C₄xS₃ and Q=D₇

Direct product G=NxQ with N=C₄xS₃ and Q=D₇

		d	ρ	Label	ID
C₄xS₃xD₇		84	4	C4xS3xD7	336,147

Semidirect products G=N:Q with N=C₄xS₃ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃):₁D₇ = D₂₈:₅S₃	φ: D₇/C₇ → C₂ ⊆ Out C₄xS₃	168	4-	(C4xS3):1D7	336,138
(C₄xS₃):₂D₇ = D₈₄:C₂	φ: D₇/C₇ → C₂ ⊆ Out C₄xS₃	168	4+	(C4xS3):2D7	336,142
(C₄xS₃):₃D₇ = S₃xD₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄xS₃	84	4+	(C4xS3):3D7	336,149
(C₄xS₃):₄D₇ = D₆.D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xS₃	168	4	(C4xS3):4D7	336,144

Non-split extensions G=N.Q with N=C₄xS₃ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃).₁D₇ = S₃xDic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xS₃	168	4-	(C4xS3).1D7	336,140
(C₄xS₃).₂D₇ = D₆.Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₄xS₃	168	4	(C4xS3).2D7	336,27
(C₄xS₃).₃D₇ = S₃xC₇:C₈	φ: trivial image	168	4	(C4xS3).3D7	336,24

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