Extensions 1→N→G→Q→1 with N=C₂xC₃:D₄ and Q=C₁₀

Direct product G=NxQ with N=C₂xC₃:D₄ and Q=C₁₀

		d	ρ	Label	ID
C₂xC₁₀xC₃:D₄		240		C2xC10xC3:D4	480,1164

Semidirect products G=N:Q with N=C₂xC₃:D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:D₄):₁C₁₀ = C₅xD₆:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120		(C2xC3:D4):1C10	480,761
(C₂xC₃:D₄):₂C₁₀ = C₅xDic₃:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):2C10	480,763
(C₂xC₃:D₄):₃C₁₀ = C₅xC₁₂:₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):3C10	480,809
(C₂xC₃:D₄):₄C₁₀ = C₅xC₂³:₂D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120		(C2xC3:D4):4C10	480,816
(C₂xC₃:D₄):₅C₁₀ = C₅xD₆:₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):5C10	480,817
(C₂xC₃:D₄):₆C₁₀ = C₅xC₂³.₁₄D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):6C10	480,818
(C₂xC₃:D₄):₇C₁₀ = C₅xC₁₂:₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):7C10	480,819
(C₂xC₃:D₄):₈C₁₀ = C₅xC₂⁴:₄S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120		(C2xC3:D4):8C10	480,832
(C₂xC₃:D₄):₉C₁₀ = S₃xD₄xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120		(C2xC3:D4):9C10	480,1154
(C₂xC₃:D₄):₁₀C₁₀ = C₁₀xD₄:₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):10C10	480,1155
(C₂xC₃:D₄):₁₁C₁₀ = C₅xD₄:₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120	4	(C2xC3:D4):11C10	480,1156
(C₂xC₃:D₄):₁₂C₁₀ = C₁₀xC₄oD₁₂	φ: trivial image	240		(C2xC3:D4):12C10	480,1153

Non-split extensions G=N.Q with N=C₂xC₃:D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:D₄).₁C₁₀ = C₅xC₂³.₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120	4	(C2xC3:D4).1C10	480,125
(C₂xC₃:D₄).₂C₁₀ = C₅xDic₃:₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4).2C10	480,760
(C₂xC₃:D₄).₃C₁₀ = C₅xC₂³.₉D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4).3C10	480,762
(C₂xC₃:D₄).₄C₁₀ = C₅xC₂³.₁₁D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4).4C10	480,764
(C₂xC₃:D₄).₅C₁₀ = C₅xC₂³.₂₁D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4).5C10	480,765
(C₂xC₃:D₄).₆C₁₀ = C₅xC₂³.₂₈D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4).6C10	480,808
(C₂xC₃:D₄).₇C₁₀ = C₂₀xC₃:D₄	φ: trivial image	240		(C2xC3:D4).7C10	480,807

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