Extensions 1→N→G→Q→1 with N=Dic₃₀ and Q=C₂

Direct product G=N×Q with N=Dic₃₀ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₃₀		240		C2xDic30	240,175

Semidirect products G=N:Q with N=Dic₃₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₀⋊₁C₂ = C₂₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	120	2	Dic30:1C2	240,67
Dic₃₀⋊₂C₂ = D₄.D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	120	4-	Dic30:2C2	240,77
Dic₃₀⋊₃C₂ = D₄⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	120	4-	Dic30:3C2	240,180
Dic₃₀⋊₄C₂ = Q₈×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	120	4-	Dic30:4C2	240,181
Dic₃₀⋊₅C₂ = C₆.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	120	4-	Dic30:5C2	240,18
Dic₃₀⋊₆C₂ = D₂₀⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	120	4-	Dic30:6C2	240,126
Dic₃₀⋊₇C₂ = S₃×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	120	4-	Dic30:7C2	240,128
Dic₃₀⋊₈C₂ = D₁₂.D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	120	4-	Dic30:8C2	240,20
Dic₃₀⋊₉C₂ = D₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	120	4-	Dic30:9C2	240,125
Dic₃₀⋊₁₀C₂ = D₁₂⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	120	4-	Dic30:10C2	240,133
Dic₃₀⋊₁₁C₂ = D₆₀⋊₁₁C₂	φ: trivial image	120	2	Dic30:11C2	240,178

Non-split extensions G=N.Q with N=Dic₃₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₀.₁C₂ = Dic₆₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	240	2-	Dic30.1C2	240,69
Dic₃₀.₂C₂ = C₁₅⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	240	4-	Dic30.2C2	240,79
Dic₃₀.₃C₂ = C₃⋊Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	240	4-	Dic30.3C2	240,23
Dic₃₀.₄C₂ = C₅⋊Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₀	240	4-	Dic30.4C2	240,24

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