Extensions 1→N→G→Q→1 with N=C₃₂ and Q=C₂²

Direct product G=N×Q with N=C₃₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃₂		128		C2^2xC32	128,988

Semidirect products G=N:Q with N=C₃₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂⋊C₂² = C₃₂⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₃₂	32	4+	C32:C2^2	128,995
C₃₂⋊₂C₂² = C₂×D₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₂	64		C32:2C2^2	128,991
C₃₂⋊₃C₂² = C₂×SD₆₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₂	64		C32:3C2^2	128,992
C₃₂⋊₄C₂² = C₂×M₆(2)	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₂	64		C32:4C2^2	128,989

Non-split extensions G=N.Q with N=C₃₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂.C₂² = Q₆₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₃₂	64	4-	C32.C2^2	128,996
C₃₂.₂C₂² = D₆₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₂	64	2+	C32.2C2^2	128,161
C₃₂.₃C₂² = SD₁₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₂	64	2	C32.3C2^2	128,162
C₃₂.₄C₂² = Q₁₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₂	128	2-	C32.4C2^2	128,163
C₃₂.₅C₂² = C₂×Q₆₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₂	128		C32.5C2^2	128,993
C₃₂.₆C₂² = C₄○D₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₂	64	2	C32.6C2^2	128,994
C₃₂.₇C₂² = D₄○C₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₂	64	2	C32.7C2^2	128,990
C₃₂.₈C₂² = M₇(2)	central extension (φ=1)	64	2	C32.8C2^2	128,160

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