Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₂xC₁₀

Direct product G=NxQ with N=D₁₂ and Q=C₂xC₁₀

		d	ρ	Label	ID
C₂xC₁₀xD₁₂		240		C2xC10xD12	480,1152

Semidirect products G=N:Q with N=D₁₂ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂:₁(C₂xC₁₀) = C₅xS₃xD₈	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12:1(C2xC10)	480,789
D₁₂:₂(C₂xC₁₀) = C₅xQ₈:₃D₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12:2(C2xC10)	480,793
D₁₂:₃(C₂xC₁₀) = C₁₀xD₂₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:3(C2xC10)	480,782
D₁₂:₄(C₂xC₁₀) = C₅xC₈:D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:4(C2xC10)	480,787
D₁₂:₅(C₂xC₁₀) = C₁₀xD₄:S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:5(C2xC10)	480,810
D₁₂:₆(C₂xC₁₀) = C₅xD₁₂:₆C₂²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:6(C2xC10)	480,811
D₁₂:₇(C₂xC₁₀) = S₃xD₄xC₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120		D12:7(C2xC10)	480,1154
D₁₂:₈(C₂xC₁₀) = C₅xD₄:₆D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:8(C2xC10)	480,1156
D₁₂:₉(C₂xC₁₀) = C₁₀xQ₈:₃S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:9(C2xC10)	480,1158
D₁₂:₁₀(C₂xC₁₀) = C₅xS₃xC₄oD₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:10(C2xC10)	480,1160
D₁₂:₁₁(C₂xC₁₀) = C₅xD₄oD₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:11(C2xC10)	480,1161
D₁₂:₁₂(C₂xC₁₀) = C₁₀xC₄oD₁₂	φ: trivial image	240		D12:12(C2xC10)	480,1153

Non-split extensions G=N.Q with N=D₁₂ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁(C₂xC₁₀) = C₅xD₈:S₃	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12.1(C2xC10)	480,790
D₁₂.₂(C₂xC₁₀) = C₅xS₃xSD₁₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12.2(C2xC10)	480,792
D₁₂.₃(C₂xC₁₀) = C₅xQ₈.₇D₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out D₁₂	240	4	D12.3(C2xC10)	480,795
D₁₂.₄(C₂xC₁₀) = C₅xQ₁₆:S₃	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out D₁₂	240	4	D12.4(C2xC10)	480,797
D₁₂.₅(C₂xC₁₀) = C₅xD₂₄:C₂	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out D₁₂	240	4	D12.5(C2xC10)	480,798
D₁₂.₆(C₂xC₁₀) = C₁₀xC₂₄:C₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12.6(C2xC10)	480,781
D₁₂.₇(C₂xC₁₀) = C₅xC₄oD₂₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	2	D12.7(C2xC10)	480,783
D₁₂.₈(C₂xC₁₀) = C₅xC₈.D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.8(C2xC10)	480,788
D₁₂.₉(C₂xC₁₀) = C₁₀xQ₈:₂S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12.9(C2xC10)	480,820
D₁₂.₁₀(C₂xC₁₀) = C₅xQ₈.₁₁D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.10(C2xC10)	480,821
D₁₂.₁₁(C₂xC₁₀) = C₅xD₄:D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12.11(C2xC10)	480,828
D₁₂.₁₂(C₂xC₁₀) = C₅xQ₈.₁₃D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.12(C2xC10)	480,829
D₁₂.₁₃(C₂xC₁₀) = C₅xQ₈.₁₅D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.13(C2xC10)	480,1159
D₁₂.₁₄(C₂xC₁₀) = C₅xQ₈oD₁₂	φ: trivial image	240	4	D12.14(C2xC10)	480,1162

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