Extensions 1→N→G→Q→1 with N=C₃xQ₈ and Q=D₇

Direct product G=NxQ with N=C₃xQ₈ and Q=D₇

		d	ρ	Label	ID
C₃xQ₈xD₇		168	4	C3xQ8xD7	336,180

Semidirect products G=N:Q with N=C₃xQ₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xQ₈):₁D₇ = Q₈:₂D₂₁	φ: D₇/C₇ → C₂ ⊆ Out C₃xQ₈	168	4+	(C3xQ8):1D7	336,103
(C₃xQ₈):₂D₇ = Q₈xD₂₁	φ: D₇/C₇ → C₂ ⊆ Out C₃xQ₈	168	4-	(C3xQ8):2D7	336,200
(C₃xQ₈):₃D₇ = Q₈:₃D₂₁	φ: D₇/C₇ → C₂ ⊆ Out C₃xQ₈	168	4+	(C3xQ8):3D7	336,201
(C₃xQ₈):₄D₇ = C₃xQ₈:D₇	φ: D₇/C₇ → C₂ ⊆ Out C₃xQ₈	168	4	(C3xQ8):4D7	336,71
(C₃xQ₈):₅D₇ = C₃xQ₈:₂D₇	φ: trivial image	168	4	(C3xQ8):5D7	336,181

Non-split extensions G=N.Q with N=C₃xQ₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xQ₈).₁D₇ = C₂₁:₇Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₃xQ₈	336	4-	(C3xQ8).1D7	336,104
(C₃xQ₈).₂D₇ = C₃xC₇:Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₃xQ₈	336	4	(C3xQ8).2D7	336,72

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