Extensions 1→N→G→Q→1 with N=C₄oD₁₂ and Q=C₁₀

Direct product G=NxQ with N=C₄oD₁₂ and Q=C₁₀

		d	ρ	Label	ID
C₁₀xC₄oD₁₂		240		C10xC4oD12	480,1153

Semidirect products G=N:Q with N=C₄oD₁₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₁₂:₁C₁₀ = C₅xC₄oD₂₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	240	2	C4oD12:1C10	480,783
C₄oD₁₂:₂C₁₀ = C₅xC₈:D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12:2C10	480,787
C₄oD₁₂:₃C₁₀ = C₅xD₁₂:₆C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12:3C10	480,811
C₄oD₁₂:₄C₁₀ = C₅xQ₈.₁₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12:4C10	480,829
C₄oD₁₂:₅C₁₀ = C₅xD₄:₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12:5C10	480,1156
C₄oD₁₂:₆C₁₀ = C₅xQ₈.₁₅D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12:6C10	480,1159
C₄oD₁₂:₇C₁₀ = C₅xS₃xC₄oD₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12:7C10	480,1160
C₄oD₁₂:₈C₁₀ = C₅xD₄oD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12:8C10	480,1161
C₄oD₁₂:₉C₁₀ = C₅xQ₈oD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12:9C10	480,1162

Non-split extensions G=N.Q with N=C₄oD₁₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₁₂.₁C₁₀ = C₅xC₄²:₄S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	120	2	C4oD12.1C10	480,124
C₄oD₁₂.₂C₁₀ = C₅xD₁₂:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12.2C10	480,144
C₄oD₁₂.₃C₁₀ = C₅xD₁₂.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12.3C10	480,786
C₄oD₁₂.₄C₁₀ = C₅xC₈.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12.4C10	480,788
C₄oD₁₂.₅C₁₀ = C₅xQ₈.₁₁D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12.5C10	480,821
C₄oD₁₂.₆C₁₀ = C₅xC₈oD₁₂	φ: trivial image	240	2	C4oD12.6C10	480,780

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