Extensions 1→N→G→Q→1 with N=C₅:D₄ and Q=D₆

Direct product G=NxQ with N=C₅:D₄ and Q=D₆

		d	ρ	Label	ID
C₂xS₃xC₅:D₄		120		C2xS3xC5:D4	480,1123

Semidirect products G=N:Q with N=C₅:D₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:D₄:₁D₆ = S₃xD₄xD₅	φ: D₆/S₃ → C₂ ⊆ Out C₅:D₄	60	8+	C5:D4:1D6	480,1097
C₅:D₄:₂D₆ = D₅xD₄:₂S₃	φ: D₆/S₃ → C₂ ⊆ Out C₅:D₄	120	8-	C5:D4:2D6	480,1098
C₅:D₄:₃D₆ = S₃xD₄:₂D₅	φ: D₆/S₃ → C₂ ⊆ Out C₅:D₄	120	8-	C5:D4:3D6	480,1099
C₅:D₄:₄D₆ = D₃₀.C₂³	φ: D₆/S₃ → C₂ ⊆ Out C₅:D₄	120	8+	C5:D4:4D6	480,1100
C₅:D₄:₅D₆ = D₂₀:₁₃D₆	φ: D₆/S₃ → C₂ ⊆ Out C₅:D₄	120	8-	C5:D4:5D6	480,1101
C₅:D₄:₆D₆ = D₂₀:₁₄D₆	φ: D₆/S₃ → C₂ ⊆ Out C₅:D₄	120	8+	C5:D4:6D6	480,1102
C₅:D₄:₇D₆ = D₁₂:₁₄D₁₀	φ: D₆/S₃ → C₂ ⊆ Out C₅:D₄	120	8+	C5:D4:7D6	480,1103
C₅:D₄:₈D₆ = D₂₀:₂₄D₆	φ: D₆/C₆ → C₂ ⊆ Out C₅:D₄	120	4	C5:D4:8D6	480,1092
C₅:D₄:₉D₆ = D₂₀:₂₉D₆	φ: D₆/C₆ → C₂ ⊆ Out C₅:D₄	120	4+	C5:D4:9D6	480,1095
C₅:D₄:₁₀D₆ = C₂xC₃₀.C₂³	φ: D₆/C₆ → C₂ ⊆ Out C₅:D₄	240		C5:D4:10D6	480,1114
C₅:D₄:₁₁D₆ = C₂xD₁₀:D₆	φ: D₆/C₆ → C₂ ⊆ Out C₅:D₄	120		C5:D4:11D6	480,1124
C₅:D₄:₁₂D₆ = C₁₅:2₊¹⁺⁴	φ: D₆/C₆ → C₂ ⊆ Out C₅:D₄	120	4	C5:D4:12D6	480,1125
C₅:D₄:₁₃D₆ = S₃xC₄oD₂₀	φ: trivial image	120	4	C5:D4:13D6	480,1091
C₅:D₄:₁₄D₆ = D₂₀:₂₆D₆	φ: trivial image	120	4	C5:D4:14D6	480,1094
C₅:D₄:₁₅D₆ = C₂xDic₅.D₆	φ: trivial image	240		C5:D4:15D6	480,1113

Non-split extensions G=N.Q with N=C₅:D₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:D₄.₁D₆ = C₁₅:2_-¹⁺⁴	φ: D₆/S₃ → C₂ ⊆ Out C₅:D₄	240	8-	C5:D4.1D6	480,1096
C₅:D₄.₂D₆ = D₂₀.₃₉D₆	φ: D₆/C₆ → C₂ ⊆ Out C₅:D₄	240	4-	C5:D4.2D6	480,1077
C₅:D₄.₃D₆ = D₂₀.₃₈D₆	φ: trivial image	240	4	C5:D4.3D6	480,1076

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