Extensions 1→N→G→Q→1 with N=C₂×C₅⋊C₈ and Q=C₄

Direct product G=N×Q with N=C₂×C₅⋊C₈ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×C₅⋊C₈		320		C2xC4xC5:C8	320,1084

Semidirect products G=N:Q with N=C₂×C₅⋊C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊C₈)⋊₁C₄ = C₂²⋊C₄.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₅⋊C₈	80	8-	(C2xC5:C8):1C4	320,205
(C₂×C₅⋊C₈)⋊₂C₄ = M₄(2)⋊₄F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂×C₅⋊C₈	80	8	(C2xC5:C8):2C4	320,240
(C₂×C₅⋊C₈)⋊₃C₄ = D₁₀.₃M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	80		(C2xC5:C8):3C4	320,230
(C₂×C₅⋊C₈)⋊₄C₄ = C₁₀.(C₄⋊C₈)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320		(C2xC5:C8):4C4	320,256
(C₂×C₅⋊C₈)⋊₅C₄ = Dic₅.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	160		(C2xC5:C8):5C4	320,1029
(C₂×C₅⋊C₈)⋊₆C₄ = C₂×C₈⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	80		(C2xC5:C8):6C4	320,1055
(C₂×C₅⋊C₈)⋊₇C₄ = M₄(2)⋊₅F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	80	8	(C2xC5:C8):7C4	320,1066
(C₂×C₅⋊C₈)⋊₈C₄ = C₂×C₁₀.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320		(C2xC5:C8):8C4	320,1087
(C₂×C₅⋊C₈)⋊₉C₄ = C₂×C₈×F₅	φ: trivial image	80		(C2xC5:C8):9C4	320,1054

Non-split extensions G=N.Q with N=C₂×C₅⋊C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊C₈).₁C₄ = C₄₀⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320		(C2xC5:C8).1C4	320,217
(C₂×C₅⋊C₈).₂C₄ = C₂₀.₃₁M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₅⋊C₈	320		(C2xC5:C8).2C4	320,218
(C₂×C₅⋊C₈).₃C₄ = C₈×C₅⋊C₈	φ: trivial image	320		(C2xC5:C8).3C4	320,216

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