Extensions 1→N→G→Q→1 with N=C₃xD₂₀ and Q=C₂

Direct product G=NxQ with N=C₃xD₂₀ and Q=C₂

		d	ρ	Label	ID
C₆xD₂₀		120		C6xD20	240,157

Semidirect products G=N:Q with N=C₃xD₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₂₀):₁C₂ = C₃:D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	4+	(C3xD20):1C2	240,14
(C₃xD₂₀):₂C₂ = D₂₀:₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	4-	(C3xD20):2C2	240,126
(C₃xD₂₀):₃C₂ = S₃xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	60	4+	(C3xD20):3C2	240,137
(C₃xD₂₀):₄C₂ = C₁₅:D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	4	(C3xD20):4C2	240,13
(C₃xD₂₀):₅C₂ = D₂₀:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	4	(C3xD20):5C2	240,127
(C₃xD₂₀):₆C₂ = C₂₀:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	60	4	(C3xD20):6C2	240,138
(C₃xD₂₀):₇C₂ = C₃xD₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	2	(C3xD20):7C2	240,36
(C₃xD₂₀):₈C₂ = C₃xD₄:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	4	(C3xD20):8C2	240,44
(C₃xD₂₀):₉C₂ = C₃xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	60	4	(C3xD20):9C2	240,159
(C₃xD₂₀):₁₀C₂ = C₃xQ₈:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	4	(C3xD20):10C2	240,162
(C₃xD₂₀):₁₁C₂ = C₃xC₄oD₂₀	φ: trivial image	120	2	(C3xD20):11C2	240,158

Non-split extensions G=N.Q with N=C₃xD₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₂₀).₁C₂ = C₆.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	4-	(C3xD20).1C2	240,18
(C₃xD₂₀).₂C₂ = C₃₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	4	(C3xD20).2C2	240,16
(C₃xD₂₀).₃C₂ = C₃xC₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	2	(C3xD20).3C2	240,35
(C₃xD₂₀).₄C₂ = C₃xQ₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₂₀	120	4	(C3xD20).4C2	240,46

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