Extensions 1→N→G→Q→1 with N=C₁₀xDic₃ and Q=C₂

Direct product G=NxQ with N=C₁₀xDic₃ and Q=C₂

		d	ρ	Label	ID
Dic₃xC₂xC₁₀		240		Dic3xC2xC10	240,173

Semidirect products G=N:Q with N=C₁₀xDic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀xDic₃):₁C₂ = D₁₀:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	120		(C10xDic3):1C2	240,26
(C₁₀xDic₃):₂C₂ = D₃₀:₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	120		(C10xDic3):2C2	240,28
(C₁₀xDic₃):₃C₂ = C₂xD₅xDic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	120		(C10xDic3):3C2	240,139
(C₁₀xDic₃):₄C₂ = Dic₅.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	120	4	(C10xDic3):4C2	240,140
(C₁₀xDic₃):₅C₂ = C₂xD₃₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	120		(C10xDic3):5C2	240,144
(C₁₀xDic₃):₆C₂ = C₂xC₃:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	120		(C10xDic3):6C2	240,146
(C₁₀xDic₃):₇C₂ = C₅xD₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	120		(C10xDic3):7C2	240,59
(C₁₀xDic₃):₈C₂ = C₅xC₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	120		(C10xDic3):8C2	240,64
(C₁₀xDic₃):₉C₂ = C₅xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	120	4	(C10xDic3):9C2	240,170
(C₁₀xDic₃):₁₀C₂ = C₁₀xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	120		(C10xDic3):10C2	240,174
(C₁₀xDic₃):₁₁C₂ = S₃xC₂xC₂₀	φ: trivial image	120		(C10xDic3):11C2	240,166

Non-split extensions G=N.Q with N=C₁₀xDic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀xDic₃).₁C₂ = Dic₃xDic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	240		(C10xDic3).1C2	240,25
(C₁₀xDic₃).₂C₂ = C₃₀.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	240		(C10xDic3).2C2	240,29
(C₁₀xDic₃).₃C₂ = Dic₁₅:₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	240		(C10xDic3).3C2	240,30
(C₁₀xDic₃).₄C₂ = C₆.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	240		(C10xDic3).4C2	240,31
(C₁₀xDic₃).₅C₂ = C₂xC₁₅:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	240		(C10xDic3).5C2	240,148
(C₁₀xDic₃).₆C₂ = C₅xDic₃:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	240		(C10xDic3).6C2	240,57
(C₁₀xDic₃).₇C₂ = C₅xC₄:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	240		(C10xDic3).7C2	240,58
(C₁₀xDic₃).₈C₂ = C₁₀xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xDic₃	240		(C10xDic3).8C2	240,165
(C₁₀xDic₃).₉C₂ = Dic₃xC₂₀	φ: trivial image	240		(C10xDic3).9C2	240,56

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