Extensions 1→N→G→Q→1 with N=Q₈⋊₂D₅ and Q=C₄

Direct product G=N×Q with N=Q₈⋊₂D₅ and Q=C₄

		d	ρ	Label	ID
C₄×Q₈⋊₂D₅		160		C4xQ8:2D5	320,1245

Semidirect products G=N:Q with N=Q₈⋊₂D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₅⋊₁C₄ = Q₈⋊(C₄×D₅)	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	160		Q8:2D5:1C4	320,430
Q₈⋊₂D₅⋊₂C₄ = Q₈⋊₂D₅⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	160		Q8:2D5:2C4	320,431
Q₈⋊₂D₅⋊₃C₄ = D₅×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	40	4	Q8:2D5:3C4	320,447
Q₈⋊₂D₅⋊₄C₄ = C₄²⋊D₁₀	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5:4C4	320,448
Q₈⋊₂D₅⋊₅C₄ = C₄².₁₂₆D₁₀	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	160		Q8:2D5:5C4	320,1246
Q₈⋊₂D₅⋊₆C₄ = C₂×Q₈⋊₂F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80		Q8:2D5:6C4	320,1121
Q₈⋊₂D₅⋊₇C₄ = (C₂×Q₈)⋊₆F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5:7C4	320,1122
Q₈⋊₂D₅⋊₈C₄ = C₄○D₄⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	40	8	Q8:2D5:8C4	320,1131
Q₈⋊₂D₅⋊₉C₄ = C₄○D₂₀⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8	Q8:2D5:9C4	320,1132
Q₈⋊₂D₅⋊₁₀C₄ = C₄○D₄×F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	40	8	Q8:2D5:10C4	320,1603
Q₈⋊₂D₅⋊₁₁C₄ = D₅.2₊¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	40	8	Q8:2D5:11C4	320,1604

Non-split extensions G=N.Q with N=Q₈⋊₂D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₅.₁C₄ = C₂₀.₇₂C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5.1C4	320,1422
Q₈⋊₂D₅.₂C₄ = C₂×Q₈.F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	160		Q8:2D5.2C4	320,1597
Q₈⋊₂D₅.₃C₄ = Dic₅.₂₀C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5.3C4	320,1598
Q₈⋊₂D₅.₄C₄ = D₅×C₈○D₄	φ: trivial image	80	4	Q8:2D5.4C4	320,1421

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