Extensions 1→N→G→Q→1 with N=Dic₁₅ and Q=C₄

Direct product G=N×Q with N=Dic₁₅ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₁₅		240		C4xDic15	240,72

Semidirect products G=N:Q with N=Dic₁₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₅⋊₁C₄ = Dic₃×F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₁₅	60	8-	Dic15:1C4	240,95
Dic₁₅⋊₂C₄ = Dic₃⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₁₅	60	8-	Dic15:2C4	240,97
Dic₁₅⋊₃C₄ = C₃₀.₄Q₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₅	240		Dic15:3C4	240,73
Dic₁₅⋊₄C₄ = Dic₃×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₅	240		Dic15:4C4	240,25
Dic₁₅⋊₅C₄ = Dic₁₅⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₅	240		Dic15:5C4	240,30

Non-split extensions G=N.Q with N=Dic₁₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₅.₁C₄ = S₃×C₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out Dic₁₅	120	8-	Dic15.1C4	240,98
Dic₁₅.₂C₄ = D₆.F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₁₅	120	8-	Dic15.2C4	240,100
Dic₁₅.₃C₄ = C₄₀⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₅	120	2	Dic15.3C4	240,66
Dic₁₅.₄C₄ = D₁₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₅	120	4	Dic15.4C4	240,9
Dic₁₅.₅C₄ = D₃₀.₅C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₅	120	4	Dic15.5C4	240,12
Dic₁₅.₆C₄ = C₈×D₁₅	φ: trivial image	120	2	Dic15.6C4	240,65

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