Extensions 1→N→G→Q→1 with N=C₁₅:Q₈ and Q=C₄

Direct product G=NxQ with N=C₁₅:Q₈ and Q=C₄

		d	ρ	Label	ID
C₄xC₁₅:Q₈		480		C4xC15:Q8	480,543

Semidirect products G=N:Q with N=C₁₅:Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅:Q₈:₁C₄ = F₅xDic₆	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:Q₈	120	8-	C15:Q8:1C4	480,982
C₁₅:Q₈:₂C₄ = Dic₆:₅F₅	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:Q₈	120	8-	C15:Q8:2C4	480,984
C₁₅:Q₈:₃C₄ = Dic₅:₅Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:Q₈	480		C15:Q8:3C4	480,399
C₁₅:Q₈:₄C₄ = Dic₃:₅Dic₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:Q₈	480		C15:Q8:4C4	480,400
C₁₅:Q₈:₅C₄ = Dic₁₅:₅Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:Q₈	480		C15:Q8:5C4	480,401

Non-split extensions G=N.Q with N=C₁₅:Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅:Q₈.₁C₄ = C₅:C₈.D₆	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:Q₈	240	8	C15:Q8.1C4	480,1003
C₁₅:Q₈.₂C₄ = D₁₅:C₈:C₂	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:Q₈	240	8	C15:Q8.2C4	480,1005
C₁₅:Q₈.₃C₄ = C₄₀.₃₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:Q₈	240	4	C15:Q8.3C4	480,342
C₁₅:Q₈.₄C₄ = C₄₀.₅₅D₆	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:Q₈	240	4	C15:Q8.4C4	480,343
C₁₅:Q₈.₅C₄ = C₄₀.₃₅D₆	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:Q₈	240	4	C15:Q8.5C4	480,344
C₁₅:Q₈.₆C₄ = C₄₀.₅₄D₆	φ: trivial image	240	4	C15:Q8.6C4	480,341

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