Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=D₇

Direct product G=N×Q with N=C₄×S₃ and Q=D₇

		d	ρ	Label	ID
C₄×S₃×D₇		84	4	C4xS3xD7	336,147

Semidirect products G=N:Q with N=C₄×S₃ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁D₇ = D₂₈⋊₅S₃	φ: D₇/C₇ → C₂ ⊆ Out C₄×S₃	168	4-	(C4xS3):1D7	336,138
(C₄×S₃)⋊₂D₇ = D₈₄⋊C₂	φ: D₇/C₇ → C₂ ⊆ Out C₄×S₃	168	4+	(C4xS3):2D7	336,142
(C₄×S₃)⋊₃D₇ = S₃×D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄×S₃	84	4+	(C4xS3):3D7	336,149
(C₄×S₃)⋊₄D₇ = D₆.D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×S₃	168	4	(C4xS3):4D7	336,144

Non-split extensions G=N.Q with N=C₄×S₃ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁D₇ = S₃×Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×S₃	168	4-	(C4xS3).1D7	336,140
(C₄×S₃).₂D₇ = D₆.Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₄×S₃	168	4	(C4xS3).2D7	336,27
(C₄×S₃).₃D₇ = S₃×C₇⋊C₈	φ: trivial image	168	4	(C4xS3).3D7	336,24

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁