Extensions 1→N→G→Q→1 with N=C₅xC₂²wrC₂ and Q=C₂

Direct product G=NxQ with N=C₅xC₂²wrC₂ and Q=C₂

		d	ρ	Label	ID
C₁₀xC₂²wrC₂		80		C10xC2^2wrC2	320,1523

Semidirect products G=N:Q with N=C₅xC₂²wrC₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₂²wrC₂):₁C₂ = C₂⁴:₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	40	4	(C5xC2^2wrC2):1C2	320,659
(C₅xC₂²wrC₂):₂C₂ = C₂⁴.₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):2C2	320,1258
(C₅xC₂²wrC₂):₃C₂ = D₅xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	40		(C5xC2^2wrC2):3C2	320,1260
(C₅xC₂²wrC₂):₄C₂ = C₂⁴:₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):4C2	320,1261
(C₅xC₂²wrC₂):₅C₂ = C₂⁴:₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):5C2	320,1262
(C₅xC₂²wrC₂):₆C₂ = C₂⁴.₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):6C2	320,1263
(C₅xC₂²wrC₂):₇C₂ = C₂⁴.₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):7C2	320,1264
(C₅xC₂²wrC₂):₈C₂ = C₂⁴.₃₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):8C2	320,1265
(C₅xC₂²wrC₂):₉C₂ = C₂⁴:₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):9C2	320,1266
(C₅xC₂²wrC₂):₁₀C₂ = C₂⁴.₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):10C2	320,1267
(C₅xC₂²wrC₂):₁₁C₂ = C₅xC₂wrC₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	40	4	(C5xC2^2wrC2):11C2	320,958
(C₅xC₂²wrC₂):₁₂C₂ = C₅xC₂³:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):12C2	320,1536
(C₅xC₂²wrC₂):₁₃C₂ = C₅xC₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):13C2	320,1537
(C₅xC₂²wrC₂):₁₄C₂ = C₅xC₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):14C2	320,1540
(C₅xC₂²wrC₂):₁₅C₂ = C₅xD₄²	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):15C2	320,1547
(C₅xC₂²wrC₂):₁₆C₂ = C₅xD₄:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):16C2	320,1548
(C₅xC₂²wrC₂):₁₇C₂ = C₅xC₂².₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):17C2	320,1562
(C₅xC₂²wrC₂):₁₈C₂ = C₅xC₂⁴:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2):18C2	320,1563
(C₅xC₂²wrC₂):₁₉C₂ = C₅xC₂².₁₉C₂⁴	φ: trivial image	80		(C5xC2^2wrC2):19C2	320,1527

Non-split extensions G=N.Q with N=C₅xC₂²wrC₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₂²wrC₂).₁C₂ = C₂⁴:₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	40	4	(C5xC2^2wrC2).1C2	320,94
(C₅xC₂²wrC₂).₂C₂ = C₂⁴.₃₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2).2C2	320,1259
(C₅xC₂²wrC₂).₃C₂ = C₅xC₂wrC₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	40	4	(C5xC2^2wrC2).3C2	320,156
(C₅xC₂²wrC₂).₄C₂ = C₅xC₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₂²wrC₂	80		(C5xC2^2wrC2).4C2	320,1553

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