Extensions 1→N→G→Q→1 with N=D₄ and Q=D₂₁

Direct product G=N×Q with N=D₄ and Q=D₂₁

		d	ρ	Label	ID
D₄×D₂₁		84	4+	D4xD21	336,198

Semidirect products G=N:Q with N=D₄ and Q=D₂₁

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₂₁ = D₄⋊D₂₁	φ: D₂₁/C₂₁ → C₂ ⊆ Out D₄	168	4+	D4:D21	336,101
D₄⋊₂D₂₁ = D₄⋊₂D₂₁	φ: trivial image	168	4-	D4:2D21	336,199

Non-split extensions G=N.Q with N=D₄ and Q=D₂₁

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₂₁ = D₄.D₂₁	φ: D₂₁/C₂₁ → C₂ ⊆ Out D₄	168	4-	D4.D21	336,102

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Extensions 1→N→G→Q→1 with N=D4 and Q=D21