Extensions 1→N→G→Q→1 with N=C₂²wrC₂ and Q=D₅

Direct product G=NxQ with N=C₂²wrC₂ and Q=D₅

		d	ρ	Label	ID
D₅xC₂²wrC₂		40		D5xC2^2wrC2	320,1260

Semidirect products G=N:Q with N=C₂²wrC₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²wrC₂:₁D₅ = C₂⁴:₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²wrC₂	40	4	C2^2wrC2:1D5	320,659
C₂²wrC₂:₂D₅ = C₂⁴:₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²wrC₂	80		C2^2wrC2:2D5	320,1261
C₂²wrC₂:₃D₅ = C₂⁴:₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²wrC₂	80		C2^2wrC2:3D5	320,1262
C₂²wrC₂:₄D₅ = C₂⁴.₃₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²wrC₂	80		C2^2wrC2:4D5	320,1263
C₂²wrC₂:₅D₅ = C₂⁴.₃₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²wrC₂	80		C2^2wrC2:5D5	320,1264
C₂²wrC₂:₆D₅ = C₂⁴.₃₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²wrC₂	80		C2^2wrC2:6D5	320,1265
C₂²wrC₂:₇D₅ = C₂⁴:₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²wrC₂	80		C2^2wrC2:7D5	320,1266
C₂²wrC₂:₈D₅ = C₂⁴.₃₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²wrC₂	80		C2^2wrC2:8D5	320,1267
C₂²wrC₂:₉D₅ = C₂⁴.₅₆D₁₀	φ: trivial image	80		C2^2wrC2:9D5	320,1258

Non-split extensions G=N.Q with N=C₂²wrC₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²wrC₂.₁D₅ = C₂⁴:₂Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²wrC₂	40	4	C2^2wrC2.1D5	320,94
C₂²wrC₂.₂D₅ = C₂⁴.₃₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²wrC₂	80		C2^2wrC2.2D5	320,1259

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