Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=D₁₀

Direct product G=N×Q with N=C₃⋊D₄ and Q=D₁₀

		d	ρ	Label	ID
C₂×D₅×C₃⋊D₄		120		C2xD5xC3:D4	480,1122

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁D₁₀ = S₃×D₄×D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊D₄	60	8+	C3:D4:1D10	480,1097
C₃⋊D₄⋊₂D₁₀ = D₅×D₄⋊₂S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊D₄	120	8-	C3:D4:2D10	480,1098
C₃⋊D₄⋊₃D₁₀ = S₃×D₄⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊D₄	120	8-	C3:D4:3D10	480,1099
C₃⋊D₄⋊₄D₁₀ = D₃₀.C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊D₄	120	8+	C3:D4:4D10	480,1100
C₃⋊D₄⋊₅D₁₀ = D₂₀⋊₁₃D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊D₄	120	8-	C3:D4:5D10	480,1101
C₃⋊D₄⋊₆D₁₀ = D₂₀⋊₁₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊D₄	120	8+	C3:D4:6D10	480,1102
C₃⋊D₄⋊₇D₁₀ = D₁₂⋊₁₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊D₄	120	8+	C3:D4:7D10	480,1103
C₃⋊D₄⋊₈D₁₀ = D₂₀⋊₂₄D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	120	4	C3:D4:8D10	480,1092
C₃⋊D₄⋊₉D₁₀ = D₂₀⋊₂₉D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	120	4+	C3:D4:9D10	480,1095
C₃⋊D₄⋊₁₀D₁₀ = C₂×C₃₀.C₂³	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	240		C3:D4:10D10	480,1114
C₃⋊D₄⋊₁₁D₁₀ = C₂×D₁₀⋊D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	120		C3:D4:11D10	480,1124
C₃⋊D₄⋊₁₂D₁₀ = D₅×C₄○D₁₂	φ: trivial image	120	4	C3:D4:12D10	480,1090
C₃⋊D₄⋊₁₃D₁₀ = D₂₀⋊₂₅D₆	φ: trivial image	120	4	C3:D4:13D10	480,1093
C₃⋊D₄⋊₁₄D₁₀ = C₂×Dic₃.D₁₀	φ: trivial image	240		C3:D4:14D10	480,1116
C₃⋊D₄⋊₁₅D₁₀ = C₁₅⋊2₊¹⁺⁴	φ: trivial image	120	4	C3:D4:15D10	480,1125

Non-split extensions G=N.Q with N=C₃⋊D₄ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄.₁D₁₀ = C₁₅⋊2_-¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊D₄	240	8-	C3:D4.1D10	480,1096
C₃⋊D₄.₂D₁₀ = D₂₀.₃₉D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	240	4-	C3:D4.2D10	480,1077
C₃⋊D₄.₃D₁₀ = C₃₀.C₂⁴	φ: trivial image	240	4	C3:D4.3D10	480,1080

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