Extensions 1→N→G→Q→1 with N=C₃:D₄ and Q=C₂xC₁₀

Direct product G=NxQ with N=C₃:D₄ and Q=C₂xC₁₀

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

Semidirect products G=N:Q with N=C₃:D₄ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:D₄:₁(C₂xC₁₀) = S₃xD₄xC₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₃:D₄	120		C3:D4:1(C2xC10)	480,1154
C₃:D₄:₂(C₂xC₁₀) = C₁₀xD₄:₂S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₃:D₄	240		C3:D4:2(C2xC10)	480,1155
C₃:D₄:₃(C₂xC₁₀) = C₅xD₄:₆D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₃:D₄	120	4	C3:D4:3(C2xC10)	480,1156
C₃:D₄:₄(C₂xC₁₀) = C₅xS₃xC₄oD₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₃:D₄	120	4	C3:D4:4(C2xC10)	480,1160
C₃:D₄:₅(C₂xC₁₀) = C₅xD₄oD₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₃:D₄	120	4	C3:D4:5(C2xC10)	480,1161
C₃:D₄:₆(C₂xC₁₀) = C₁₀xC₄oD₁₂	φ: trivial image	240		C3:D4:6(C2xC10)	480,1153

Non-split extensions G=N.Q with N=C₃:D₄ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:D₄.(C₂xC₁₀) = C₅xQ₈oD₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₃:D₄	240	4	C3:D4.(C2xC10)	480,1162
C₃:D₄.₂(C₂xC₁₀) = C₅xQ₈.₁₅D₆	φ: trivial image	240	4	C3:D4.2(C2xC10)	480,1159

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