Extensions 1→N→G→Q→1 with N=C₂×C₃₂ and Q=C₂

Direct product G=N×Q with N=C₂×C₃₂ and Q=C₂

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

Semidirect products G=N:Q with N=C₂×C₃₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₃₂)⋊₁C₂ = C₂²⋊C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64		(C2xC32):1C2	128,131
(C₂×C₃₂)⋊₂C₂ = D₄.C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64	2	(C2xC32):2C2	128,133
(C₂×C₃₂)⋊₃C₂ = D₁₆⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64		(C2xC32):3C2	128,147
(C₂×C₃₂)⋊₄C₂ = D₁₆.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64	2	(C2xC32):4C2	128,149
(C₂×C₃₂)⋊₅C₂ = C₂×D₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64		(C2xC32):5C2	128,991
(C₂×C₃₂)⋊₆C₂ = C₄○D₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64	2	(C2xC32):6C2	128,994
(C₂×C₃₂)⋊₇C₂ = C₂×SD₆₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64		(C2xC32):7C2	128,992
(C₂×C₃₂)⋊₈C₂ = C₂×M₆(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64		(C2xC32):8C2	128,989
(C₂×C₃₂)⋊₉C₂ = D₄○C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64	2	(C2xC32):9C2	128,990

Non-split extensions G=N.Q with N=C₂×C₃₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₃₂).₁C₂ = Q₃₂⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	128		(C2xC32).1C2	128,148
(C₂×C₃₂).₂C₂ = C₄⋊C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	128		(C2xC32).2C2	128,153
(C₂×C₃₂).₃C₂ = C₃₂⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	128		(C2xC32).3C2	128,155
(C₂×C₃₂).₄C₂ = C₂×Q₆₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	128		(C2xC32).4C2	128,993
(C₂×C₃₂).₅C₂ = C₃₂.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64	2	(C2xC32).5C2	128,157
(C₂×C₃₂).₆C₂ = C₃₂⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	128		(C2xC32).6C2	128,156
(C₂×C₃₂).₇C₂ = C₃₂⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	128		(C2xC32).7C2	128,129
(C₂×C₃₂).₈C₂ = M₇(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₃₂	64	2	(C2xC32).8C2	128,160

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