Extensions 1→N→G→Q→1 with N=C₄×C₈ and Q=C₁₀

Direct product G=N×Q with N=C₄×C₈ and Q=C₁₀

		d	ρ	Label	ID
C₂×C₄×C₄₀		320		C2xC4xC40	320,903

Semidirect products G=N:Q with N=C₄×C₈ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈)⋊₁C₁₀ = C₅×D₄⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):1C10	320,130
(C₄×C₈)⋊₂C₁₀ = C₅×C₄².₁₂C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):2C10	320,932
(C₄×C₈)⋊₃C₁₀ = C₅×C₄².₇C₂²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):3C10	320,934
(C₄×C₈)⋊₄C₁₀ = D₄×C₄₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):4C10	320,935
(C₄×C₈)⋊₅C₁₀ = C₅×C₄.₄D₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):5C10	320,987
(C₄×C₈)⋊₆C₁₀ = C₅×C₄².₇₈C₂²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):6C10	320,989
(C₄×C₈)⋊₇C₁₀ = D₈×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):7C10	320,938
(C₄×C₈)⋊₈C₁₀ = C₅×C₈⋊₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):8C10	320,994
(C₄×C₈)⋊₉C₁₀ = C₅×C₈.₁₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):9C10	320,996
(C₄×C₈)⋊₁₀C₁₀ = C₅×C₈○D₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	80	2	(C4xC8):10C10	320,944
(C₄×C₈)⋊₁₁C₁₀ = SD₁₆×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):11C10	320,939
(C₄×C₈)⋊₁₂C₁₀ = C₅×C₈⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):12C10	320,993
(C₄×C₈)⋊₁₃C₁₀ = M₄(2)×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):13C10	320,905
(C₄×C₈)⋊₁₄C₁₀ = C₅×C₈○₂M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):14C10	320,906
(C₄×C₈)⋊₁₅C₁₀ = C₅×C₈⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	160		(C4xC8):15C10	320,937

Non-split extensions G=N.Q with N=C₄×C₈ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈).₁C₁₀ = C₅×Q₈⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).1C10	320,131
(C₄×C₈).₂C₁₀ = C₅×C₄⋊C₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).2C10	320,168
(C₄×C₈).₃C₁₀ = Q₈×C₄₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).3C10	320,946
(C₄×C₈).₄C₁₀ = C₅×C₄.SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).4C10	320,988
(C₄×C₈).₅C₁₀ = C₅×C₈⋊₁C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).5C10	320,140
(C₄×C₈).₆C₁₀ = Q₁₆×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).6C10	320,940
(C₄×C₈).₇C₁₀ = C₅×C₄⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).7C10	320,995
(C₄×C₈).₈C₁₀ = C₅×C₈⋊₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).8C10	320,1001
(C₄×C₈).₉C₁₀ = C₅×C₈.₅Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).9C10	320,1000
(C₄×C₈).₁₀C₁₀ = C₅×C₈.C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	80	2	(C4xC8).10C10	320,169
(C₄×C₈).₁₁C₁₀ = C₅×C₈⋊₂C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).11C10	320,139
(C₄×C₈).₁₂C₁₀ = C₅×C₈⋊₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).12C10	320,999
(C₄×C₈).₁₃C₁₀ = C₅×C₈⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).13C10	320,127
(C₄×C₈).₁₄C₁₀ = C₅×C₁₆⋊₅C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).14C10	320,151
(C₄×C₈).₁₅C₁₀ = C₅×C₈⋊₄Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₈	320		(C4xC8).15C10	320,947

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