Extensions 1→N→G→Q→1 with N=Q₈:₂D₅ and Q=C₆

Direct product G=NxQ with N=Q₈:₂D₅ and Q=C₆

		d	ρ	Label	ID
C₆xQ₈:₂D₅		240		C6xQ8:2D5	480,1143

Semidirect products G=N:Q with N=Q₈:₂D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₂D₅:C₆ = SL₂(F₃).₁₁D₁₀	φ: C₆/C₁ → C₆ ⊆ Out Q₈:₂D₅	80	4	Q8:2D5:C6	480,1040
Q₈:₂D₅:₂C₆ = C₂xDic₅.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈:₂D₅	160		Q8:2D5:2C6	480,1038
Q₈:₂D₅:₃C₆ = D₅xC₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈:₂D₅	80	4	Q8:2D5:3C6	480,1042
Q₈:₂D₅:₄C₆ = C₃xD₄₀:C₂	φ: C₆/C₃ → C₂ ⊆ Out Q₈:₂D₅	120	4	Q8:2D5:4C6	480,707
Q₈:₂D₅:₅C₆ = C₃xSD₁₆:₃D₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈:₂D₅	240	4	Q8:2D5:5C6	480,709
Q₈:₂D₅:₆C₆ = C₃xQ₈.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out Q₈:₂D₅	240	4	Q8:2D5:6C6	480,712
Q₈:₂D₅:₇C₆ = C₃xQ₈.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out Q₈:₂D₅	240	4	Q8:2D5:7C6	480,1144
Q₈:₂D₅:₈C₆ = C₃xD₄:₈D₁₀	φ: C₆/C₃ → C₂ ⊆ Out Q₈:₂D₅	120	4	Q8:2D5:8C6	480,1146
Q₈:₂D₅:₉C₆ = C₃xD₅xC₄oD₄	φ: trivial image	120	4	Q8:2D5:9C6	480,1145

Non-split extensions G=N.Q with N=Q₈:₂D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₂D₅.₁C₆ = Dic₁₀.A₄	φ: C₆/C₁ → C₆ ⊆ Out Q₈:₂D₅	120	4+	Q8:2D5.1C6	480,1041
Q₈:₂D₅.₂C₆ = SL₂(F₃).F₅	φ: C₆/C₁ → C₆ ⊆ Out Q₈:₂D₅	160	8+	Q8:2D5.2C6	480,964
Q₈:₂D₅.₃C₆ = C₃xQ₁₆:D₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈:₂D₅	240	4	Q8:2D5.3C6	480,711
Q₈:₂D₅.₄C₆ = C₃xQ₈:₂F₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈:₂D₅	120	8	Q8:2D5.4C6	480,290
Q₈:₂D₅.₅C₆ = C₃xQ₈.F₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈:₂D₅	240	8	Q8:2D5.5C6	480,1055

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