Extensions 1→N→G→Q→1 with N=C₄oD₁₂ and Q=D₅

Direct product G=NxQ with N=C₄oD₁₂ and Q=D₅

		d	ρ	Label	ID
D₅xC₄oD₁₂		120	4	D5xC4oD12	480,1090

Semidirect products G=N:Q with N=C₄oD₁₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₁₂:₁D₅ = C₂₀.₆₀D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12:1D5	480,379
C₄oD₁₂:₂D₅ = D₂₀.₃₄D₆	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12:2D5	480,373
C₄oD₁₂:₃D₅ = C₆₀.₃₆D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12:3D5	480,374
C₄oD₁₂:₄D₅ = C₆₀.₃₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4+	C4oD12:4D5	480,381
C₄oD₁₂:₅D₅ = D₂₀.₃₉D₆	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4-	C4oD12:5D5	480,1077
C₄oD₁₂:₆D₅ = C₃₀.C₂⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12:6D5	480,1080
C₄oD₁₂:₇D₅ = D₂₀:₂₄D₆	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12:7D5	480,1092
C₄oD₁₂:₈D₅ = D₂₀:₂₅D₆	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12:8D5	480,1093
C₄oD₁₂:₉D₅ = D₂₀:₂₉D₆	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4+	C4oD12:9D5	480,1095

Non-split extensions G=N.Q with N=C₄oD₁₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₁₂.₁D₅ = C₆₀.₉₉D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12.1D5	480,55
C₄oD₁₂.₂D₅ = C₆₀.₉₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	120	4	C4oD12.2D5	480,54
C₄oD₁₂.₃D₅ = D₁₂.Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12.3D5	480,364
C₄oD₁₂.₄D₅ = D₁₂.₃₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4	C4oD12.4D5	480,385
C₄oD₁₂.₅D₅ = D₁₂.₃₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₁₂	240	4-	C4oD12.5D5	480,398
C₄oD₁₂.₆D₅ = D₁₂.₂Dic₅	φ: trivial image	240	4	C4oD12.6D5	480,362

׿

x

:

Z

F

o

wr

Q

<