Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂

Direct product G=N×Q with N=D₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄		8		C2xD4	16,11

Semidirect products G=N:Q with N=D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₂ = D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄	8	2+	D4:C2	16,7
D₄⋊₂C₂ = C₄○D₄	φ: trivial image	8	2	D4:2C2	16,13

Non-split extensions G=N.Q with N=D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₂ = SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄	8	2	D4.C2	16,8

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Extensions 1→N→G→Q→1 with N=D4 and Q=C2