Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=D₇

Direct product G=N×Q with N=C₃×D₄ and Q=D₇

		d	ρ	Label	ID
C₃×D₄×D₇		84	4	C3xD4xD7	336,178

Semidirect products G=N:Q with N=C₃×D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁D₇ = D₄⋊D₂₁	φ: D₇/C₇ → C₂ ⊆ Out C₃×D₄	168	4+	(C3xD4):1D7	336,101
(C₃×D₄)⋊₂D₇ = D₄×D₂₁	φ: D₇/C₇ → C₂ ⊆ Out C₃×D₄	84	4+	(C3xD4):2D7	336,198
(C₃×D₄)⋊₃D₇ = D₄⋊₂D₂₁	φ: D₇/C₇ → C₂ ⊆ Out C₃×D₄	168	4-	(C3xD4):3D7	336,199
(C₃×D₄)⋊₄D₇ = C₃×D₄⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out C₃×D₄	168	4	(C3xD4):4D7	336,69
(C₃×D₄)⋊₅D₇ = C₃×D₄⋊₂D₇	φ: trivial image	168	4	(C3xD4):5D7	336,179

Non-split extensions G=N.Q with N=C₃×D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁D₇ = D₄.D₂₁	φ: D₇/C₇ → C₂ ⊆ Out C₃×D₄	168	4-	(C3xD4).1D7	336,102
(C₃×D₄).₂D₇ = C₃×D₄.D₇	φ: D₇/C₇ → C₂ ⊆ Out C₃×D₄	168	4	(C3xD4).2D7	336,70

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