Extensions 1→N→G→Q→1 with N=D₁₆ and Q=C₂²

Direct product G=N×Q with N=D₁₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₁₆		64		C2^2xD16	128,2140

Semidirect products G=N:Q with N=D₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₆⋊₁C₂² = C₂×D₃₂	φ: C₂²/C₂ → C₂ ⊆ Out D₁₆	64		D16:1C2^2	128,991
D₁₆⋊₂C₂² = C₃₂⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₁₆	32	4+	D16:2C2^2	128,995
D₁₆⋊₃C₂² = C₂×C₁₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₁₆	32		D16:3C2^2	128,2144
D₁₆⋊₄C₂² = D₁₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₁₆	32	4	D16:4C2^2	128,2146
D₁₆⋊₅C₂² = D₄○D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₁₆	32	4+	D16:5C2^2	128,2147
D₁₆⋊₆C₂² = D₄○SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out D₁₆	32	4	D16:6C2^2	128,2148
D₁₆⋊₇C₂² = C₂×C₄○D₁₆	φ: trivial image	64		D16:7C2^2	128,2143

Non-split extensions G=N.Q with N=D₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₆.₁C₂² = C₂×SD₆₄	φ: C₂²/C₂ → C₂ ⊆ Out D₁₆	64		D16.1C2^2	128,992
D₁₆.₂C₂² = C₄○D₃₂	φ: C₂²/C₂ → C₂ ⊆ Out D₁₆	64	2	D16.2C2^2	128,994
D₁₆.₃C₂² = Q₆₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₁₆	64	4-	D16.3C2^2	128,996
D₁₆.₄C₂² = Q₈○D₁₆	φ: trivial image	64	4-	D16.4C2^2	128,2149

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