Extensions 1→N→G→Q→1 with N=C₃xDic₁₀ and Q=C₂

Direct product G=NxQ with N=C₃xDic₁₀ and Q=C₂

		d	ρ	Label	ID
C₆xDic₁₀		240		C6xDic10	240,155

Semidirect products G=N:Q with N=C₃xDic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₁₀):₁C₂ = C₁₅:SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	120	4+	(C3xDic10):1C2	240,19
(C₃xDic₁₀):₂C₂ = S₃xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	120	4-	(C3xDic10):2C2	240,128
(C₃xDic₁₀):₃C₂ = D₆₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	120	4+	(C3xDic10):3C2	240,130
(C₃xDic₁₀):₄C₂ = C₂₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	120	4	(C3xDic10):4C2	240,17
(C₃xDic₁₀):₅C₂ = D₁₂:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	120	4	(C3xDic10):5C2	240,129
(C₃xDic₁₀):₆C₂ = D₁₅:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	120	4	(C3xDic10):6C2	240,131
(C₃xDic₁₀):₇C₂ = C₃xC₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	120	2	(C3xDic10):7C2	240,35
(C₃xDic₁₀):₈C₂ = C₃xD₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	120	4	(C3xDic10):8C2	240,45
(C₃xDic₁₀):₉C₂ = C₃xD₄:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	120	4	(C3xDic10):9C2	240,160
(C₃xDic₁₀):₁₀C₂ = C₃xQ₈xD₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	120	4	(C3xDic10):10C2	240,161
(C₃xDic₁₀):₁₁C₂ = C₃xC₄oD₂₀	φ: trivial image	120	2	(C3xDic10):11C2	240,158

Non-split extensions G=N.Q with N=C₃xDic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₁₀).₁C₂ = C₃:Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	240	4-	(C3xDic10).1C2	240,23
(C₃xDic₁₀).₂C₂ = C₁₅:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	240	4	(C3xDic10).2C2	240,22
(C₃xDic₁₀).₃C₂ = C₃xDic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	240	2	(C3xDic10).3C2	240,37
(C₃xDic₁₀).₄C₂ = C₃xC₅:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₀	240	4	(C3xDic10).4C2	240,47

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