Extensions 1→N→G→Q→1 with N=Q₃₂ and Q=C₂²

Direct product G=N×Q with N=Q₃₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×Q₃₂		128		C2^2xQ32	128,2142

Semidirect products G=N:Q with N=Q₃₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂⋊₁C₂² = C₂×SD₆₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₃₂	64		Q32:1C2^2	128,992
Q₃₂⋊₂C₂² = C₃₂⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₃₂	32	4+	Q32:2C2^2	128,995
Q₃₂⋊₃C₂² = C₂×Q₃₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₃₂	64		Q32:3C2^2	128,2145
Q₃₂⋊₄C₂² = D₁₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₃₂	32	4	Q32:4C2^2	128,2146
Q₃₂⋊₅C₂² = D₄○SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₃₂	32	4	Q32:5C2^2	128,2148
Q₃₂⋊₆C₂² = C₂×C₄○D₁₆	φ: trivial image	64		Q32:6C2^2	128,2143
Q₃₂⋊₇C₂² = D₄○D₁₆	φ: trivial image	32	4+	Q32:7C2^2	128,2147

Non-split extensions G=N.Q with N=Q₃₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂.₁C₂² = C₂×Q₆₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₃₂	128		Q32.1C2^2	128,993
Q₃₂.₂C₂² = C₄○D₃₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₃₂	64	2	Q32.2C2^2	128,994
Q₃₂.₃C₂² = Q₆₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₃₂	64	4-	Q32.3C2^2	128,996
Q₃₂.₄C₂² = Q₈○D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₃₂	64	4-	Q32.4C2^2	128,2149

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