Extensions 1→N→G→Q→1 with N=C₂⁴:₂D₅ and Q=C₂

Direct product G=NxQ with N=C₂⁴:₂D₅ and Q=C₂

		d	ρ	Label	ID
C₂xC₂⁴:₂D₅		80		C2xC2^4:2D5	320,1512

Semidirect products G=N:Q with N=C₂⁴:₂D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴:₂D₅:₁C₂ = C₂⁴:₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	40	4	C2^4:2D5:1C2	320,659
C₂⁴:₂D₅:₂C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:2C2	320,1162
C₂⁴:₂D₅:₃C₂ = C₂⁴.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:3C2	320,1166
C₂⁴:₂D₅:₄C₂ = C₂⁴.₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:4C2	320,1258
C₂⁴:₂D₅:₅C₂ = D₅xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	40		C2^4:2D5:5C2	320,1260
C₂⁴:₂D₅:₆C₂ = C₂⁴:₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:6C2	320,1261
C₂⁴:₂D₅:₇C₂ = C₂⁴.₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:7C2	320,1264
C₂⁴:₂D₅:₈C₂ = C₂⁴.₃₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:8C2	320,1265
C₂⁴:₂D₅:₉C₂ = C₂⁴:₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:9C2	320,1266
C₂⁴:₂D₅:₁₀C₂ = C₂⁴.₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:10C2	320,1267
C₂⁴:₂D₅:₁₁C₂ = D₄xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:11C2	320,1473
C₂⁴:₂D₅:₁₂C₂ = C₂⁴:₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:12C2	320,1476
C₂⁴:₂D₅:₁₃C₂ = C₂⁴.₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:13C2	320,1477
C₂⁴:₂D₅:₁₄C₂ = C₂⁴.₄₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5:14C2	320,1478
C₂⁴:₂D₅:₁₅C₂ = C₂⁴.₇₂D₁₀	φ: trivial image	80		C2^4:2D5:15C2	320,1463

Non-split extensions G=N.Q with N=C₂⁴:₂D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴:₂D₅.₁C₂ = C₂⁴.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	80		C2^4:2D5.1C2	320,1167
C₂⁴:₂D₅.₂C₂ = C₂⁴:₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴:₂D₅	40	4	C2^4:2D5.2C2	320,272

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