Extensions 1→N→G→Q→1 with N=C₅xC₈.C₂² and Q=C₂

Direct product G=NxQ with N=C₅xC₈.C₂² and Q=C₂

		d	ρ	Label	ID
C₁₀xC₈.C₂²		160		C10xC8.C2^2	320,1576

Semidirect products G=N:Q with N=C₅xC₈.C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₈.C₂²):₁C₂ = D₅xC₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	80	8-	(C5xC8.C2^2):1C2	320,1448
(C₅xC₈.C₂²):₂C₂ = D₄₀:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	80	8+	(C5xC8.C2^2):2C2	320,1449
(C₅xC₈.C₂²):₃C₂ = C₄₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	80	8+	(C5xC8.C2^2):3C2	320,1450
(C₅xC₈.C₂²):₄C₂ = D₂₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	160	8-	(C5xC8.C2^2):4C2	320,1451
(C₅xC₈.C₂²):₅C₂ = D₂₀.₃₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	80	8+	(C5xC8.C2^2):5C2	320,829
(C₅xC₈.C₂²):₆C₂ = M₄(2).₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	80	8+	(C5xC8.C2^2):6C2	320,830
(C₅xC₈.C₂²):₇C₂ = D₂₀.₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	80	8-	(C5xC8.C2^2):7C2	320,832
(C₅xC₈.C₂²):₈C₂ = C₅xD₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	80	4	(C5xC8.C2^2):8C2	320,956
(C₅xC₈.C₂²):₉C₂ = C₅xD₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	80	4	(C5xC8.C2^2):9C2	320,957
(C₅xC₈.C₂²):₁₀C₂ = C₅xD₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	80	4	(C5xC8.C2^2):10C2	320,972
(C₅xC₈.C₂²):₁₁C₂ = C₅xD₄oSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	80	4	(C5xC8.C2^2):11C2	320,1579
(C₅xC₈.C₂²):₁₂C₂ = C₅xQ₈oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	160	4	(C5xC8.C2^2):12C2	320,1580
(C₅xC₈.C₂²):₁₃C₂ = C₅xD₈:C₂²	φ: trivial image	80	4	(C5xC8.C2^2):13C2	320,1577

Non-split extensions G=N.Q with N=C₅xC₈.C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₈.C₂²).₁C₂ = M₄(2).₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	160	8-	(C5xC8.C2^2).1C2	320,831
(C₅xC₈.C₂²).₂C₂ = C₅xD₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₈.C₂²	160	4	(C5xC8.C2^2).2C2	320,974

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