Extensions 1→N→G→Q→1 with N=C₆xD₄ and Q=C₁₀

Direct product G=NxQ with N=C₆xD₄ and Q=C₁₀

		d	ρ	Label	ID
D₄xC₂xC₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=C₆xD₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₄):₁C₁₀ = C₁₀xD₄:S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):1C10	480,810
(C₆xD₄):₂C₁₀ = C₅xD₁₂:₆C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4):2C10	480,811
(C₆xD₄):₃C₁₀ = C₅xD₆:₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):3C10	480,817
(C₆xD₄):₄C₁₀ = C₅xC₁₂:₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):4C10	480,819
(C₆xD₄):₅C₁₀ = S₃xD₄xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120		(C6xD4):5C10	480,1154
(C₆xD₄):₆C₁₀ = C₁₀xD₄:₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):6C10	480,1155
(C₆xD₄):₇C₁₀ = C₅xD₄:₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4):7C10	480,1156
(C₆xD₄):₈C₁₀ = C₅xC₂³:₂D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120		(C6xD4):8C10	480,816
(C₆xD₄):₉C₁₀ = C₅xC₂³.₁₄D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):9C10	480,818
(C₆xD₄):₁₀C₁₀ = C₁₅xC₂²wrC₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120		(C6xD4):10C10	480,925
(C₆xD₄):₁₁C₁₀ = C₁₅xC₄:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):11C10	480,926
(C₆xD₄):₁₂C₁₀ = C₁₅xC₄:₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):12C10	480,932
(C₆xD₄):₁₃C₁₀ = D₈xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):13C10	480,937
(C₆xD₄):₁₄C₁₀ = C₁₅xC₈:C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4):14C10	480,941
(C₆xD₄):₁₅C₁₀ = C₁₅x2₊¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4):15C10	480,1184
(C₆xD₄):₁₆C₁₀ = C₄oD₄xC₃₀	φ: trivial image	240		(C6xD4):16C10	480,1183

Non-split extensions G=N.Q with N=C₆xD₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₄).₁C₁₀ = C₅xD₄:Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).1C10	480,151
(C₆xD₄).₂C₁₀ = C₅xC₁₂.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4).2C10	480,152
(C₆xD₄).₃C₁₀ = C₁₀xD₄.S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).3C10	480,812
(C₆xD₄).₄C₁₀ = C₅xD₄xDic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).4C10	480,813
(C₆xD₄).₅C₁₀ = C₅xC₂³.₁₂D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).5C10	480,815
(C₆xD₄).₆C₁₀ = C₅xC₂³.₇D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4).6C10	480,153
(C₆xD₄).₇C₁₀ = C₁₅xC₂³:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4).7C10	480,202
(C₆xD₄).₈C₁₀ = C₁₅xC₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4).8C10	480,203
(C₆xD₄).₉C₁₀ = C₁₅xD₄:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).9C10	480,205
(C₆xD₄).₁₀C₁₀ = C₅xC₂³.₂₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).10C10	480,814
(C₆xD₄).₁₁C₁₀ = C₁₅xC₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).11C10	480,928
(C₆xD₄).₁₂C₁₀ = C₁₅xC₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).12C10	480,929
(C₆xD₄).₁₃C₁₀ = SD₁₆xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).13C10	480,938
(C₆xD₄).₁₄C₁₀ = D₄xC₆₀	φ: trivial image	240		(C6xD4).14C10	480,923

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