Extensions 1→N→G→Q→1 with N=C₂⁴xC₄ and Q=C₂

Direct product G=NxQ with N=C₂⁴xC₄ and Q=C₂

		d	ρ	Label	ID
C₂⁵xC₄		128		C2^5xC4	128,2319

Semidirect products G=N:Q with N=C₂⁴xC₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴xC₄):₁C₂ = C₂xC₂³.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4):1C2	128,1019
(C₂⁴xC₄):₂C₂ = C₄xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	32		(C2^4xC4):2C2	128,1031
(C₂⁴xC₄):₃C₂ = C₂⁴.₁₆₆D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	32		(C2^4xC4):3C2	128,1581
(C₂⁴xC₄):₄C₂ = C₂³xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4):4C2	128,2151
(C₂⁴xC₄):₅C₂ = D₄xC₂²xC₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4):5C2	128,2154
(C₂⁴xC₄):₆C₂ = C₂²xC₂².D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4):6C2	128,2166
(C₂⁴xC₄):₇C₂ = C₂⁴:₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	32		(C2^4xC4):7C2	128,1579
(C₂⁴xC₄):₈C₂ = C₂²xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4):8C2	128,2164
(C₂⁴xC₄):₉C₂ = C₂xC₂².₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	32		(C2^4xC4):9C2	128,2167
(C₂⁴xC₄):₁₀C₂ = D₄xC₂⁴	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4):10C2	128,2320
(C₂⁴xC₄):₁₁C₂ = C₂³xC₄oD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4):11C2	128,2322

Non-split extensions G=N.Q with N=C₂⁴xC₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴xC₄).₁C₂ = C₂⁴.₁₇Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4).1C2	128,165
(C₂⁴xC₄).₂C₂ = C₂⁴:₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	32		(C2^4xC4).2C2	128,511
(C₂⁴xC₄).₃C₂ = C₂²xC₂.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	128		(C2^4xC4).3C2	128,998
(C₂⁴xC₄).₄C₂ = C₂xC₄xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4).4C2	128,1000
(C₂⁴xC₄).₅C₂ = C₂xC₂³.₃₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4).5C2	128,1011
(C₂⁴xC₄).₆C₂ = C₂xC₂³.₈Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4).6C2	128,1018
(C₂⁴xC₄).₇C₂ = C₂²xC₂²:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4).7C2	128,1608
(C₂⁴xC₄).₈C₂ = C₂³xC₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	128		(C2^4xC4).8C2	128,2152
(C₂⁴xC₄).₉C₂ = C₂xC₂³.₇Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4).9C2	128,1010
(C₂⁴xC₄).₁₀C₂ = C₂⁵.₈₅C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	32		(C2^4xC4).10C2	128,1012
(C₂⁴xC₄).₁₁C₂ = C₂⁴:₈Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	32		(C2^4xC4).11C2	128,1580
(C₂⁴xC₄).₁₂C₂ = C₂xC₂⁴.₄C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	32		(C2^4xC4).12C2	128,1609
(C₂⁴xC₄).₁₃C₂ = C₂²xC₄²:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4).13C2	128,2153
(C₂⁴xC₄).₁₄C₂ = C₂²xC₂²:Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4).14C2	128,2165
(C₂⁴xC₄).₁₅C₂ = C₂³xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	64		(C2^4xC4).15C2	128,2302
(C₂⁴xC₄).₁₆C₂ = Q₈xC₂⁴	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴xC₄	128		(C2^4xC4).16C2	128,2321

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