Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=D₇

Direct product G=N×Q with N=C₃×Q₈ and Q=D₇

		d	ρ	Label	ID
C₃×Q₈×D₇		168	4	C3xQ8xD7	336,180

Semidirect products G=N:Q with N=C₃×Q₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁D₇ = Q₈⋊₂D₂₁	φ: D₇/C₇ → C₂ ⊆ Out C₃×Q₈	168	4+	(C3xQ8):1D7	336,103
(C₃×Q₈)⋊₂D₇ = Q₈×D₂₁	φ: D₇/C₇ → C₂ ⊆ Out C₃×Q₈	168	4-	(C3xQ8):2D7	336,200
(C₃×Q₈)⋊₃D₇ = Q₈⋊₃D₂₁	φ: D₇/C₇ → C₂ ⊆ Out C₃×Q₈	168	4+	(C3xQ8):3D7	336,201
(C₃×Q₈)⋊₄D₇ = C₃×Q₈⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out C₃×Q₈	168	4	(C3xQ8):4D7	336,71
(C₃×Q₈)⋊₅D₇ = C₃×Q₈⋊₂D₇	φ: trivial image	168	4	(C3xQ8):5D7	336,181

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁D₇ = C₂₁⋊₇Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₃×Q₈	336	4-	(C3xQ8).1D7	336,104
(C₃×Q₈).₂D₇ = C₃×C₇⋊Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₃×Q₈	336	4	(C3xQ8).2D7	336,72

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