Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₆xD₅

Direct product G=NxQ with N=Q₈ and Q=C₆xD₅

		d	ρ	Label	ID
C₆xQ₈xD₅		240		C6xQ8xD5	480,1142

Semidirect products G=N:Q with N=Q₈ and Q=C₆xD₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:(C₆xD₅) = C₂xD₅xSL₂(F₃)	φ: C₆xD₅/D₁₀ → C₃ ⊆ Out Q₈	80		Q8:(C6xD5)	480,1039
Q₈:₂(C₆xD₅) = C₃xD₅xSD₁₆	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Out Q₈	120	4	Q8:2(C6xD5)	480,706
Q₈:₃(C₆xD₅) = C₃xD₄₀:C₂	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Out Q₈	120	4	Q8:3(C6xD5)	480,707
Q₈:₄(C₆xD₅) = C₆xQ₈:D₅	φ: C₆xD₅/C₃₀ → C₂ ⊆ Out Q₈	240		Q8:4(C6xD5)	480,734
Q₈:₅(C₆xD₅) = C₃xD₄:D₁₀	φ: C₆xD₅/C₃₀ → C₂ ⊆ Out Q₈	120	4	Q8:5(C6xD5)	480,742
Q₈:₆(C₆xD₅) = C₆xQ₈:₂D₅	φ: trivial image	240		Q8:6(C6xD5)	480,1143
Q₈:₇(C₆xD₅) = C₃xD₅xC₄oD₄	φ: trivial image	120	4	Q8:7(C6xD5)	480,1145
Q₈:₈(C₆xD₅) = C₃xD₄:₈D₁₀	φ: trivial image	120	4	Q8:8(C6xD5)	480,1146

Non-split extensions G=N.Q with N=Q₈ and Q=C₆xD₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₆xD₅) = C₂xDic₅.A₄	φ: C₆xD₅/D₁₀ → C₃ ⊆ Out Q₈	160		Q8.1(C6xD5)	480,1038
Q₈.₂(C₆xD₅) = SL₂(F₃).₁₁D₁₀	φ: C₆xD₅/D₁₀ → C₃ ⊆ Out Q₈	80	4	Q8.2(C6xD5)	480,1040
Q₈.₃(C₆xD₅) = Dic₁₀.A₄	φ: C₆xD₅/D₁₀ → C₃ ⊆ Out Q₈	120	4+	Q8.3(C6xD5)	480,1041
Q₈.₄(C₆xD₅) = D₅xC₄.A₄	φ: C₆xD₅/D₁₀ → C₃ ⊆ Out Q₈	80	4	Q8.4(C6xD5)	480,1042
Q₈.₅(C₆xD₅) = D₂₀.A₄	φ: C₆xD₅/D₁₀ → C₃ ⊆ Out Q₈	80	4-	Q8.5(C6xD5)	480,1043
Q₈.₆(C₆xD₅) = C₃xSD₁₆:D₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Out Q₈	240	4	Q8.6(C6xD5)	480,708
Q₈.₇(C₆xD₅) = C₃xSD₁₆:₃D₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Out Q₈	240	4	Q8.7(C6xD5)	480,709
Q₈.₈(C₆xD₅) = C₃xD₅xQ₁₆	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Out Q₈	240	4	Q8.8(C6xD5)	480,710
Q₈.₉(C₆xD₅) = C₃xQ₁₆:D₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Out Q₈	240	4	Q8.9(C6xD5)	480,711
Q₈.₁₀(C₆xD₅) = C₃xQ₈.D₁₀	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Out Q₈	240	4	Q8.10(C6xD5)	480,712
Q₈.₁₁(C₆xD₅) = C₃xC₂₀.C₂³	φ: C₆xD₅/C₃₀ → C₂ ⊆ Out Q₈	240	4	Q8.11(C6xD5)	480,735
Q₈.₁₂(C₆xD₅) = C₆xC₅:Q₁₆	φ: C₆xD₅/C₃₀ → C₂ ⊆ Out Q₈	480		Q8.12(C6xD5)	480,736
Q₈.₁₃(C₆xD₅) = C₃xD₄.₈D₁₀	φ: C₆xD₅/C₃₀ → C₂ ⊆ Out Q₈	240	4	Q8.13(C6xD5)	480,743
Q₈.₁₄(C₆xD₅) = C₃xD₄.₉D₁₀	φ: C₆xD₅/C₃₀ → C₂ ⊆ Out Q₈	240	4	Q8.14(C6xD5)	480,744
Q₈.₁₅(C₆xD₅) = C₃xQ₈.₁₀D₁₀	φ: trivial image	240	4	Q8.15(C6xD5)	480,1144
Q₈.₁₆(C₆xD₅) = C₃xD₄.₁₀D₁₀	φ: trivial image	240	4	Q8.16(C6xD5)	480,1147

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