Extensions 1→N→G→Q→1 with N=D₄ and Q=D₃₀

Direct product G=NxQ with N=D₄ and Q=D₃₀

		d	ρ	Label	ID
C₂xD₄xD₁₅		120		C2xD4xD15	480,1169

Semidirect products G=N:Q with N=D₄ and Q=D₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁D₃₀ = D₈xD₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Out D₄	120	4+	D4:1D30	480,875
D₄:₂D₃₀ = D₈:D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Out D₄	120	4	D4:2D30	480,876
D₄:₃D₃₀ = C₂xD₄:D₁₅	φ: D₃₀/C₃₀ → C₂ ⊆ Out D₄	240		D4:3D30	480,896
D₄:₄D₃₀ = D₄:D₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Out D₄	120	4+	D4:4D30	480,914
D₄:₅D₃₀ = C₂xD₄:₂D₁₅	φ: trivial image	240		D4:5D30	480,1170
D₄:₆D₃₀ = D₄:₆D₃₀	φ: trivial image	120	4	D4:6D30	480,1171
D₄:₇D₃₀ = C₄oD₄xD₁₅	φ: trivial image	120	4	D4:7D30	480,1175
D₄:₈D₃₀ = D₄:₈D₃₀	φ: trivial image	120	4+	D4:8D30	480,1176

Non-split extensions G=N.Q with N=D₄ and Q=D₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁D₃₀ = D₈:₃D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Out D₄	240	4-	D4.1D30	480,877
D₄.₂D₃₀ = SD₁₆xD₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Out D₄	120	4	D4.2D30	480,878
D₄.₃D₃₀ = Q₈:₃D₃₀	φ: D₃₀/D₁₅ → C₂ ⊆ Out D₄	120	4+	D4.3D30	480,879
D₄.₄D₃₀ = SD₁₆:D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Out D₄	240	4-	D4.4D30	480,880
D₄.₅D₃₀ = D₄.₅D₃₀	φ: D₃₀/D₁₅ → C₂ ⊆ Out D₄	240	4	D4.5D30	480,881
D₄.₆D₃₀ = D₄.D₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Out D₄	120	4	D4.6D30	480,897
D₄.₇D₃₀ = C₂xD₄.D₁₅	φ: D₃₀/C₃₀ → C₂ ⊆ Out D₄	240		D4.7D30	480,898
D₄.₈D₃₀ = D₄.₈D₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Out D₄	240	4	D4.8D30	480,915
D₄.₉D₃₀ = D₄.₉D₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Out D₄	240	4-	D4.9D30	480,916
D₄.₁₀D₃₀ = D₄.₁₀D₃₀	φ: trivial image	240	4-	D4.10D30	480,1177

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