Extensions 1→N→G→Q→1 with N=C₃xC₄:C₄ and Q=C₁₀

Direct product G=NxQ with N=C₃xC₄:C₄ and Q=C₁₀

		d	ρ	Label	ID
C₄:C₄xC₃₀		480		C4:C4xC30	480,921

Semidirect products G=N:Q with N=C₃xC₄:C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄:C₄):₁C₁₀ = C₅xC₆.D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):1C10	480,128
(C₃xC₄:C₄):₂C₁₀ = C₅xS₃xC₄:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):2C10	480,770
(C₃xC₄:C₄):₃C₁₀ = C₅xC₄:C₄:₇S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):3C10	480,771
(C₃xC₄:C₄):₄C₁₀ = C₅xDic₃:₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):4C10	480,772
(C₃xC₄:C₄):₅C₁₀ = C₅xD₆.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):5C10	480,773
(C₃xC₄:C₄):₆C₁₀ = C₅xC₁₂:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):6C10	480,774
(C₃xC₄:C₄):₇C₁₀ = C₅xD₆:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):7C10	480,775
(C₃xC₄:C₄):₈C₁₀ = C₅xC₄.D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):8C10	480,776
(C₃xC₄:C₄):₉C₁₀ = C₅xC₄:C₄:S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):9C10	480,777
(C₃xC₄:C₄):₁₀C₁₀ = C₁₅xD₄:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):10C10	480,205
(C₃xC₄:C₄):₁₁C₁₀ = C₁₅xC₄:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):11C10	480,926
(C₃xC₄:C₄):₁₂C₁₀ = C₁₅xC₂²:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):12C10	480,927
(C₃xC₄:C₄):₁₃C₁₀ = C₁₅xC₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):13C10	480,928
(C₃xC₄:C₄):₁₄C₁₀ = C₁₅xC₄²:₂C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	240		(C3xC4:C4):14C10	480,931
(C₃xC₄:C₄):₁₅C₁₀ = C₁₅xC₄²:C₂	φ: trivial image	240		(C3xC4:C4):15C10	480,922
(C₃xC₄:C₄):₁₆C₁₀ = D₄xC₆₀	φ: trivial image	240		(C3xC4:C4):16C10	480,923

Non-split extensions G=N.Q with N=C₃xC₄:C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄:C₄).₁C₁₀ = C₅xC₆.Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).1C10	480,126
(C₃xC₄:C₄).₂C₁₀ = C₅xC₁₂.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).2C10	480,127
(C₃xC₄:C₄).₃C₁₀ = C₅xC₆.SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).3C10	480,129
(C₃xC₄:C₄).₄C₁₀ = C₅xDic₆:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).4C10	480,766
(C₃xC₄:C₄).₅C₁₀ = C₅xC₁₂:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).5C10	480,767
(C₃xC₄:C₄).₆C₁₀ = C₅xDic₃.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).6C10	480,768
(C₃xC₄:C₄).₇C₁₀ = C₅xC₄.Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).7C10	480,769
(C₃xC₄:C₄).₈C₁₀ = C₁₅xQ₈:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).8C10	480,206
(C₃xC₄:C₄).₉C₁₀ = C₁₅xC₄.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).9C10	480,209
(C₃xC₄:C₄).₁₀C₁₀ = C₁₅xC₂.D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).10C10	480,210
(C₃xC₄:C₄).₁₁C₁₀ = C₁₅xC₄².C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).11C10	480,930
(C₃xC₄:C₄).₁₂C₁₀ = C₁₅xC₄:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃xC₄:C₄	480		(C3xC4:C4).12C10	480,933
(C₃xC₄:C₄).₁₃C₁₀ = Q₈xC₆₀	φ: trivial image	480		(C3xC4:C4).13C10	480,924

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