Extensions 1→N→G→Q→1 with N=D₅ and Q=C₈○D₄

Direct product G=N×Q with N=D₅ and Q=C₈○D₄

		d	ρ	Label	ID
D₅×C₈○D₄		80	4	D5xC8oD4	320,1421

Semidirect products G=N:Q with N=D₅ and Q=C₈○D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₈○D₄) = Dic₅.₂₁C₂⁴	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Out D₅	80	8	D5:(C8oD4)	320,1601

Non-split extensions G=N.Q with N=D₅ and Q=C₈○D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₈○D₄) = C₂₀.₁₂C₄²	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Out D₅	80	4	D5.1(C8oD4)	320,1056
D₅.₂(C₈○D₄) = M₄(2)⋊₅F₅	φ: C₈○D₄/M₄(2) → C₂ ⊆ Out D₅	80	8	D5.2(C8oD4)	320,1066

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Extensions 1→N→G→Q→1 with N=D5 and Q=C8○D4