Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂²

Direct product G=N×Q with N=D₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₄		16		C2^2xD4	32,46

Semidirect products G=N:Q with N=D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₂² = C₂×D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄	16		D4:1C2^2	32,39
D₄⋊₂C₂² = C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄	8	4+	D4:2C2^2	32,43
D₄⋊₃C₂² = C₂×C₄○D₄	φ: trivial image	16		D4:3C2^2	32,48
D₄⋊₄C₂² = 2₊¹⁺⁴	φ: trivial image	8	4+	D4:4C2^2	32,49

Non-split extensions G=N.Q with N=D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁C₂² = C₂×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄	16		D4.1C2^2	32,40
D₄.₂C₂² = C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄	16	2	D4.2C2^2	32,42
D₄.₃C₂² = C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄	16	4-	D4.3C2^2	32,44
D₄.₄C₂² = 2_-¹⁺⁴	φ: trivial image	16	4-	D4.4C2^2	32,50

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