Extensions 1→N→G→Q→1 with N=D₂₀ and Q=C₂xC₆

Direct product G=NxQ with N=D₂₀ and Q=C₂xC₆

		d	ρ	Label	ID
C₂xC₆xD₂₀		240		C2xC6xD20	480,1137

Semidirect products G=N:Q with N=D₂₀ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀:₁(C₂xC₆) = C₃xD₅xD₈	φ: C₂xC₆/C₃ → C₂² ⊆ Out D₂₀	120	4	D20:1(C2xC6)	480,703
D₂₀:₂(C₂xC₆) = C₃xD₄₀:C₂	φ: C₂xC₆/C₃ → C₂² ⊆ Out D₂₀	120	4	D20:2(C2xC6)	480,707
D₂₀:₃(C₂xC₆) = C₆xD₄₀	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	240		D20:3(C2xC6)	480,696
D₂₀:₄(C₂xC₆) = C₃xC₈:D₁₀	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:4(C2xC6)	480,701
D₂₀:₅(C₂xC₆) = C₆xD₄:D₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	240		D20:5(C2xC6)	480,724
D₂₀:₆(C₂xC₆) = C₃xD₄.D₁₀	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:6(C2xC6)	480,725
D₂₀:₇(C₂xC₆) = C₆xD₄xD₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	120		D20:7(C2xC6)	480,1139
D₂₀:₈(C₂xC₆) = C₃xD₄:₆D₁₀	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:8(C2xC6)	480,1141
D₂₀:₉(C₂xC₆) = C₆xQ₈:₂D₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	240		D20:9(C2xC6)	480,1143
D₂₀:₁₀(C₂xC₆) = C₃xD₅xC₄oD₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:10(C2xC6)	480,1145
D₂₀:₁₁(C₂xC₆) = C₆xC₄oD₂₀	φ: trivial image	240		D20:11(C2xC6)	480,1138
D₂₀:₁₂(C₂xC₆) = C₃xD₄:₈D₁₀	φ: trivial image	120	4	D20:12(C2xC6)	480,1146

Non-split extensions G=N.Q with N=D₂₀ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₁(C₂xC₆) = C₃xD₈:D₅	φ: C₂xC₆/C₃ → C₂² ⊆ Out D₂₀	120	4	D20.1(C2xC6)	480,704
D₂₀.₂(C₂xC₆) = C₃xD₅xSD₁₆	φ: C₂xC₆/C₃ → C₂² ⊆ Out D₂₀	120	4	D20.2(C2xC6)	480,706
D₂₀.₃(C₂xC₆) = C₃xSD₁₆:₃D₅	φ: C₂xC₆/C₃ → C₂² ⊆ Out D₂₀	240	4	D20.3(C2xC6)	480,709
D₂₀.₄(C₂xC₆) = C₃xQ₁₆:D₅	φ: C₂xC₆/C₃ → C₂² ⊆ Out D₂₀	240	4	D20.4(C2xC6)	480,711
D₂₀.₅(C₂xC₆) = C₃xQ₈.D₁₀	φ: C₂xC₆/C₃ → C₂² ⊆ Out D₂₀	240	4	D20.5(C2xC6)	480,712
D₂₀.₆(C₂xC₆) = C₆xC₄₀:C₂	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	240		D20.6(C2xC6)	480,695
D₂₀.₇(C₂xC₆) = C₃xD₄₀:₇C₂	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	240	2	D20.7(C2xC6)	480,697
D₂₀.₈(C₂xC₆) = C₃xC₈.D₁₀	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	240	4	D20.8(C2xC6)	480,702
D₂₀.₉(C₂xC₆) = C₆xQ₈:D₅	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	240		D20.9(C2xC6)	480,734
D₂₀.₁₀(C₂xC₆) = C₃xC₂₀.C₂³	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	240	4	D20.10(C2xC6)	480,735
D₂₀.₁₁(C₂xC₆) = C₃xD₄:D₁₀	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20.11(C2xC6)	480,742
D₂₀.₁₂(C₂xC₆) = C₃xD₄.₈D₁₀	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	240	4	D20.12(C2xC6)	480,743
D₂₀.₁₃(C₂xC₆) = C₃xQ₈.₁₀D₁₀	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₂₀	240	4	D20.13(C2xC6)	480,1144
D₂₀.₁₄(C₂xC₆) = C₃xD₄.₁₀D₁₀	φ: trivial image	240	4	D20.14(C2xC6)	480,1147

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