Extensions 1→N→G→Q→1 with N=C₃×Dic₁₀ and Q=C₂

Direct product G=N×Q with N=C₃×Dic₁₀ and Q=C₂

		d	ρ	Label	ID
C₆×Dic₁₀		240		C6xDic10	240,155

Semidirect products G=N:Q with N=C₃×Dic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₀)⋊₁C₂ = C₁₅⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	120	4+	(C3xDic10):1C2	240,19
(C₃×Dic₁₀)⋊₂C₂ = S₃×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	120	4-	(C3xDic10):2C2	240,128
(C₃×Dic₁₀)⋊₃C₂ = D₆₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	120	4+	(C3xDic10):3C2	240,130
(C₃×Dic₁₀)⋊₄C₂ = C₂₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	120	4	(C3xDic10):4C2	240,17
(C₃×Dic₁₀)⋊₅C₂ = D₁₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	120	4	(C3xDic10):5C2	240,129
(C₃×Dic₁₀)⋊₆C₂ = D₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	120	4	(C3xDic10):6C2	240,131
(C₃×Dic₁₀)⋊₇C₂ = C₃×C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	120	2	(C3xDic10):7C2	240,35
(C₃×Dic₁₀)⋊₈C₂ = C₃×D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	120	4	(C3xDic10):8C2	240,45
(C₃×Dic₁₀)⋊₉C₂ = C₃×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	120	4	(C3xDic10):9C2	240,160
(C₃×Dic₁₀)⋊₁₀C₂ = C₃×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	120	4	(C3xDic10):10C2	240,161
(C₃×Dic₁₀)⋊₁₁C₂ = C₃×C₄○D₂₀	φ: trivial image	120	2	(C3xDic10):11C2	240,158

Non-split extensions G=N.Q with N=C₃×Dic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₀).₁C₂ = C₃⋊Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	240	4-	(C3xDic10).1C2	240,23
(C₃×Dic₁₀).₂C₂ = C₁₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	240	4	(C3xDic10).2C2	240,22
(C₃×Dic₁₀).₃C₂ = C₃×Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	240	2	(C3xDic10).3C2	240,37
(C₃×Dic₁₀).₄C₂ = C₃×C₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₀	240	4	(C3xDic10).4C2	240,47

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