Extensions 1→N→G→Q→1 with N=C₃xC₄oD₄ and Q=C₁₀

Direct product G=NxQ with N=C₃xC₄oD₄ and Q=C₁₀

		d	ρ	Label	ID
C₄oD₄xC₃₀		240		C4oD4xC30	480,1183

Semidirect products G=N:Q with N=C₃xC₄oD₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄oD₄):₁C₁₀ = C₅xD₄:D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	120	4	(C3xC4oD4):1C10	480,828
(C₃xC₄oD₄):₂C₁₀ = C₅xQ₈.₁₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	240	4	(C3xC4oD4):2C10	480,829
(C₃xC₄oD₄):₃C₁₀ = C₅xS₃xC₄oD₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	120	4	(C3xC4oD4):3C10	480,1160
(C₃xC₄oD₄):₄C₁₀ = C₅xD₄oD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	120	4	(C3xC4oD4):4C10	480,1161
(C₃xC₄oD₄):₅C₁₀ = C₅xQ₈oD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	240	4	(C3xC4oD4):5C10	480,1162
(C₃xC₄oD₄):₆C₁₀ = C₁₅xC₄oD₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	240	2	(C3xC4oD4):6C10	480,940
(C₃xC₄oD₄):₇C₁₀ = C₁₅xC₈:C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	120	4	(C3xC4oD4):7C10	480,941
(C₃xC₄oD₄):₈C₁₀ = C₁₅x2₊¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	120	4	(C3xC4oD4):8C10	480,1184
(C₃xC₄oD₄):₉C₁₀ = C₁₅x2_-¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	240	4	(C3xC4oD4):9C10	480,1185

Non-split extensions G=N.Q with N=C₃xC₄oD₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄oD₄).₁C₁₀ = C₅xQ₈:₃Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	120	4	(C3xC4oD4).1C10	480,156
(C₃xC₄oD₄).₂C₁₀ = C₅xD₄.Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	240	4	(C3xC4oD4).2C10	480,827
(C₃xC₄oD₄).₃C₁₀ = C₅xQ₈.₁₄D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	240	4	(C3xC4oD4).3C10	480,830
(C₃xC₄oD₄).₄C₁₀ = C₁₅xC₄wrC₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	120	2	(C3xC4oD4).4C10	480,207
(C₃xC₄oD₄).₅C₁₀ = C₁₅xC₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄oD₄	240	4	(C3xC4oD4).5C10	480,942
(C₃xC₄oD₄).₆C₁₀ = C₁₅xC₈oD₄	φ: trivial image	240	2	(C3xC4oD4).6C10	480,936

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