Extensions 1→N→G→Q→1 with N=C₄xF₅ and Q=C₄

Direct product G=NxQ with N=C₄xF₅ and Q=C₄

		d	ρ	Label	ID
C₄²xF₅		80		C4^2xF5	320,1023

Semidirect products G=N:Q with N=C₄xF₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xF₅):₁C₄ = C₄²:₃F₅	φ: C₄/C₁ → C₄ ⊆ Out C₄xF₅	80	4	(C4xF5):1C4	320,201
(C₄xF₅):₂C₄ = C₂₀.₂₄C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₄xF₅	80	4	(C4xF5):2C4	320,233
(C₄xF₅):₃C₄ = C₂₀.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄xF₅	80		(C4xF5):3C4	320,213
(C₄xF₅):₄C₄ = M₄(2):₃F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xF₅	40	8	(C4xF5):4C4	320,238
(C₄xF₅):₅C₄ = C₄:C₄xF₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xF₅	80		(C4xF5):5C4	320,1048
(C₄xF₅):₆C₄ = C₄²:₄F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xF₅	80		(C4xF5):6C4	320,1024

Non-split extensions G=N.Q with N=C₄xF₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xF₅).₁C₄ = C₁₆:F₅	φ: C₄/C₁ → C₄ ⊆ Out C₄xF₅	80	4	(C4xF5).1C4	320,183
(C₄xF₅).₂C₄ = C₁₆:₄F₅	φ: C₄/C₁ → C₄ ⊆ Out C₄xF₅	80	4	(C4xF5).2C4	320,184
(C₄xF₅).₃C₄ = M₄(2)xF₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xF₅	40	8	(C4xF5).3C4	320,1064
(C₄xF₅).₄C₄ = C₁₆:₇F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xF₅	80	4	(C4xF5).4C4	320,182
(C₄xF₅).₅C₄ = C₂xC₈:F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄xF₅	80		(C4xF5).5C4	320,1055
(C₄xF₅).₆C₄ = C₁₆xF₅	φ: trivial image	80	4	(C4xF5).6C4	320,181
(C₄xF₅).₇C₄ = C₂xC₈xF₅	φ: trivial image	80		(C4xF5).7C4	320,1054

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