Extensions 1→N→G→Q→1 with N=C₄×F₅ and Q=C₄

Direct product G=N×Q with N=C₄×F₅ and Q=C₄

		d	ρ	Label	ID
C₄²×F₅		80		C4^2xF5	320,1023

Semidirect products G=N:Q with N=C₄×F₅ and Q=C₄

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

Non-split extensions G=N.Q with N=C₄×F₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×F₅).₁C₄ = C₁₆⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₄×F₅	80	4	(C4xF5).1C4	320,183
(C₄×F₅).₂C₄ = C₁₆⋊₄F₅	φ: C₄/C₁ → C₄ ⊆ Out C₄×F₅	80	4	(C4xF5).2C4	320,184
(C₄×F₅).₃C₄ = M₄(2)×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄×F₅	40	8	(C4xF5).3C4	320,1064
(C₄×F₅).₄C₄ = C₁₆⋊₇F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄×F₅	80	4	(C4xF5).4C4	320,182
(C₄×F₅).₅C₄ = C₂×C₈⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄×F₅	80		(C4xF5).5C4	320,1055
(C₄×F₅).₆C₄ = C₁₆×F₅	φ: trivial image	80	4	(C4xF5).6C4	320,181
(C₄×F₅).₇C₄ = C₂×C₈×F₅	φ: trivial image	80		(C4xF5).7C4	320,1054

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