Extensions 1→N→G→Q→1 with N=C₅xDic₆ and Q=C₂

Direct product G=NxQ with N=C₅xDic₆ and Q=C₂

		d	ρ	Label	ID
C₁₀xDic₆		240		C10xDic6	240,165

Semidirect products G=N:Q with N=C₅xDic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xDic₆):₁C₂ = Dic₆:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	120	4+	(C5xDic6):1C2	240,21
(C₅xDic₆):₂C₂ = D₅xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	120	4-	(C5xDic6):2C2	240,125
(C₅xDic₆):₃C₂ = C₁₂.₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	120	4+	(C5xDic6):3C2	240,134
(C₅xDic₆):₄C₂ = C₃₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	120	4	(C5xDic6):4C2	240,16
(C₅xDic₆):₅C₂ = D₂₀:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	120	4	(C5xDic6):5C2	240,127
(C₅xDic₆):₆C₂ = D₁₅:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	120	4	(C5xDic6):6C2	240,131
(C₅xDic₆):₇C₂ = C₅xC₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	120	2	(C5xDic6):7C2	240,51
(C₅xDic₆):₈C₂ = C₅xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	120	4	(C5xDic6):8C2	240,61
(C₅xDic₆):₉C₂ = C₅xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	120	4	(C5xDic6):9C2	240,170
(C₅xDic₆):₁₀C₂ = C₅xS₃xQ₈	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	120	4	(C5xDic6):10C2	240,171
(C₅xDic₆):₁₁C₂ = C₅xC₄oD₁₂	φ: trivial image	120	2	(C5xDic6):11C2	240,168

Non-split extensions G=N.Q with N=C₅xDic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xDic₆).₁C₂ = C₅:Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	240	4-	(C5xDic6).1C2	240,24
(C₅xDic₆).₂C₂ = C₁₅:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	240	4	(C5xDic6).2C2	240,22
(C₅xDic₆).₃C₂ = C₅xDic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	240	2	(C5xDic6).3C2	240,53
(C₅xDic₆).₄C₂ = C₅xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₆	240	4	(C5xDic6).4C2	240,63

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