Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₃xQ₈

Direct product G=NxQ with N=C₂xC₁₀ and Q=C₃xQ₈

		d	ρ	Label	ID
Q₈xC₂xC₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):(C₃xQ₈) = A₄xDic₁₀	φ: C₃xQ₈/C₄ → C₆ ⊆ Aut C₂xC₁₀	120	6-	(C2xC10):(C3xQ8)	480,1035
(C₂xC₁₀):₂(C₃xQ₈) = C₃xDic₅.₁₄D₄	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₂xC₁₀	240		(C2xC10):2(C3xQ8)	480,671
(C₂xC₁₀):₃(C₃xQ₈) = C₅xQ₈xA₄	φ: C₃xQ₈/Q₈ → C₃ ⊆ Aut C₂xC₁₀	120	6	(C2xC10):3(C3xQ8)	480,1129
(C₂xC₁₀):₄(C₃xQ₈) = C₁₅xC₂²:Q₈	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10):4(C3xQ8)	480,927
(C₂xC₁₀):₅(C₃xQ₈) = C₃xC₂₀.₄₈D₄	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10):5(C3xQ8)	480,717
(C₂xC₁₀):₆(C₃xQ₈) = C₂xC₆xDic₁₀	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10):6(C3xQ8)	480,1135

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).(C₃xQ₈) = C₃xC₂₀.₅₃D₄	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₂xC₁₀	240	4	(C2xC10).(C3xQ8)	480,100
(C₂xC₁₀).₂(C₃xQ₈) = C₁₅xC₈.C₄	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240	2	(C2xC10).2(C3xQ8)	480,211
(C₂xC₁₀).₃(C₃xQ₈) = C₃xC₄₀.₆C₄	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240	2	(C2xC10).3(C3xQ8)	480,97
(C₂xC₁₀).₄(C₃xQ₈) = C₃xC₁₀.₁₀C₄²	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).4(C3xQ8)	480,109
(C₂xC₁₀).₅(C₃xQ₈) = C₆xC₁₀.D₄	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).5(C3xQ8)	480,716
(C₂xC₁₀).₆(C₃xQ₈) = C₆xC₄:Dic₅	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).6(C3xQ8)	480,718
(C₂xC₁₀).₇(C₃xQ₈) = C₁₅xC₂.C₄²	central extension (φ=1)	480		(C2xC10).7(C3xQ8)	480,198
(C₂xC₁₀).₈(C₃xQ₈) = C₄:C₄xC₃₀	central extension (φ=1)	480		(C2xC10).8(C3xQ8)	480,921

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