Extensions 1→N→G→Q→1 with N=D₃₀ and Q=C₄

Direct product G=NxQ with N=D₃₀ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xD₁₅		120		C2xC4xD15	240,176

Semidirect products G=N:Q with N=D₃₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀:₁C₄ = D₆:F₅	φ: C₄/C₁ → C₄ ⊆ Out D₃₀	60	8+	D30:1C4	240,96
D₃₀:₂C₄ = C₂xS₃xF₅	φ: C₄/C₁ → C₄ ⊆ Out D₃₀	30	8+	D30:2C4	240,195
D₃₀:₃C₄ = D₃₀:₃C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₀	120		D30:3C4	240,75
D₃₀:₄C₄ = D₃₀:₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₀	120		D30:4C4	240,28
D₃₀:₅C₄ = C₂xD₃₀.C₂	φ: C₄/C₂ → C₂ ⊆ Out D₃₀	120		D30:5C4	240,144

Non-split extensions G=N.Q with N=D₃₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀.₁C₄ = D₁₅:C₈	φ: C₄/C₁ → C₄ ⊆ Out D₃₀	120	8+	D30.1C4	240,99
D₃₀.₂C₄ = Dic₃.F₅	φ: C₄/C₁ → C₄ ⊆ Out D₃₀	120	8+	D30.2C4	240,101
D₃₀.₃C₄ = C₄₀:S₃	φ: C₄/C₂ → C₂ ⊆ Out D₃₀	120	2	D30.3C4	240,66
D₃₀.₄C₄ = D₁₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Out D₃₀	120	4	D30.4C4	240,9
D₃₀.₅C₄ = D₃₀.₅C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₀	120	4	D30.5C4	240,12
D₃₀.₆C₄ = C₈xD₁₅	φ: trivial image	120	2	D30.6C4	240,65

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