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

Direct product G=N×Q with N=C₅⋊D₄ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×C₅⋊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 = S₃×D₄×D₅	φ: D₆/S₃ → C₂ ⊆ Out C₅⋊D₄	60	8+	C5:D4:1D6	480,1097
C₅⋊D₄⋊₂D₆ = D₅×D₄⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Out C₅⋊D₄	120	8-	C5:D4:2D6	480,1098
C₅⋊D₄⋊₃D₆ = S₃×D₄⋊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 = C₂×C₃₀.C₂³	φ: D₆/C₆ → C₂ ⊆ Out C₅⋊D₄	240		C5:D4:10D6	480,1114
C₅⋊D₄⋊₁₁D₆ = C₂×D₁₀⋊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 = S₃×C₄○D₂₀	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 = C₂×Dic₅.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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