Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₂₁

Direct product G=N×Q with N=Q₈ and Q=D₂₁

		d	ρ	Label	ID
Q₈×D₂₁		168	4-	Q8xD21	336,200

Semidirect products G=N:Q with N=Q₈ and Q=D₂₁

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₂₁ = Q₈⋊D₂₁	φ: D₂₁/C₇ → S₃ ⊆ Out Q₈	56	4+	Q8:D21	336,119
Q₈⋊₂D₂₁ = Q₈⋊₂D₂₁	φ: D₂₁/C₂₁ → C₂ ⊆ Out Q₈	168	4+	Q8:2D21	336,103
Q₈⋊₃D₂₁ = Q₈⋊₃D₂₁	φ: trivial image	168	4+	Q8:3D21	336,201

Non-split extensions G=N.Q with N=Q₈ and Q=D₂₁

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.D₂₁ = Q₈.D₂₁	φ: D₂₁/C₇ → S₃ ⊆ Out Q₈	112	4-	Q8.D21	336,118
Q₈.₂D₂₁ = C₂₁⋊₇Q₁₆	φ: D₂₁/C₂₁ → C₂ ⊆ Out Q₈	336	4-	Q8.2D21	336,104

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Extensions 1→N→G→Q→1 with N=Q8 and Q=D21