Extensions 1→N→G→Q→1 with N=Dic₃₀ and Q=C₄

Direct product G=N×Q with N=Dic₃₀ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₃₀		480		C4xDic30	480,833

Semidirect products G=N:Q with N=Dic₃₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₀⋊₁C₄ = Dic₆⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₃₀	120	8-	Dic30:1C4	480,229
Dic₃₀⋊₂C₄ = D₁₂⋊₄F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₃₀	120	8-	Dic30:2C4	480,231
Dic₃₀⋊₃C₄ = Dic₆⋊₅F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₃₀	120	8-	Dic30:3C4	480,984
Dic₃₀⋊₄C₄ = Dic₃₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out Dic₃₀	120	8-	Dic30:4C4	480,230
Dic₃₀⋊₅C₄ = D₁₂⋊₂F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₃₀	120	8-	Dic30:5C4	480,232
Dic₃₀⋊₆C₄ = F₅×Dic₆	φ: C₄/C₁ → C₄ ⊆ Out Dic₃₀	120	8-	Dic30:6C4	480,982
Dic₃₀⋊₇C₄ = D₆₀⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	120	2	Dic30:7C4	480,165
Dic₃₀⋊₈C₄ = Dic₃₀⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30:8C4	480,176
Dic₃₀⋊₉C₄ = Dic₃₀⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30:9C4	480,170
Dic₃₀⋊₁₀C₄ = D₆₀⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:10C4	480,185
Dic₃₀⋊₁₁C₄ = Dic₁₅⋊₁₀Q₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30:11C4	480,852
Dic₃₀⋊₁₂C₄ = Dic₃₀⋊₁₂C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30:12C4	480,50
Dic₃₀⋊₁₃C₄ = D₆₀⋊₁₃C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:13C4	480,56
Dic₃₀⋊₁₄C₄ = Dic₃₀⋊₁₄C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30:14C4	480,416
Dic₃₀⋊₁₅C₄ = Dic₃₀⋊₁₅C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30:15C4	480,51
Dic₃₀⋊₁₆C₄ = D₆₀⋊₁₆C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	120	4	Dic30:16C4	480,57
Dic₃₀⋊₁₇C₄ = Dic₃₀⋊₁₇C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	480		Dic30:17C4	480,409

Non-split extensions G=N.Q with N=Dic₃₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₀.₁C₄ = D₁₂.F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₃₀	240	8-	Dic30.1C4	480,989
Dic₃₀.₂C₄ = D₁₂.₂F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₃₀	240	8-	Dic30.2C4	480,987
Dic₃₀.₃C₄ = D₆₀.₃C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.3C4	480,872
Dic₃₀.₄C₄ = D₆₀.₄C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.4C4	480,367
Dic₃₀.₅C₄ = D₆₀.₅C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₀	240	4	Dic30.5C4	480,366
Dic₃₀.₆C₄ = D₆₀.₆C₄	φ: trivial image	240	2	Dic30.6C4	480,866

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