Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₂xA₄

Direct product G=NxQ with N=C₂xC₁₀ and Q=C₂xA₄

		d	ρ	Label	ID
A₄xC₂²xC₁₀		120		A4xC2^2xC10	480,1208

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=C₂xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):(C₂xA₄) = D₅xC₂²:A₄	φ: C₂xA₄/C₂² → C₆ ⊆ Aut C₂xC₁₀	60		(C2xC10):(C2xA4)	480,1203
(C₂xC₁₀):₂(C₂xA₄) = C₁₀xC₂²:A₄	φ: C₂xA₄/C₂³ → C₃ ⊆ Aut C₂xC₁₀	60		(C2xC10):2(C2xA4)	480,1209
(C₂xC₁₀):₃(C₂xA₄) = C₅xD₄xA₄	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₂xC₁₀	60	6	(C2xC10):3(C2xA4)	480,1127
(C₂xC₁₀):₄(C₂xA₄) = A₄xC₅:D₄	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₂xC₁₀	60	6	(C2xC10):4(C2xA4)	480,1045
(C₂xC₁₀):₅(C₂xA₄) = C₂²xD₅xA₄	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₂xC₁₀	60		(C2xC10):5(C2xA4)	480,1202

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=C₂xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).₁(C₂xA₄) = C₂₀:₄D₄:C₃	φ: C₂xA₄/C₂² → C₆ ⊆ Aut C₂xC₁₀	60	6+	(C2xC10).1(C2xA4)	480,262
(C₂xC₁₀).₂(C₂xA₄) = (C₄xC₂₀):C₆	φ: C₂xA₄/C₂² → C₆ ⊆ Aut C₂xC₁₀	80	6	(C2xC10).2(C2xA4)	480,263
(C₂xC₁₀).₃(C₂xA₄) = D₅xC₄²:C₃	φ: C₂xA₄/C₂² → C₆ ⊆ Aut C₂xC₁₀	60	6	(C2xC10).3(C2xA4)	480,264
(C₂xC₁₀).₄(C₂xA₄) = (C₂²xD₅):A₄	φ: C₂xA₄/C₂² → C₆ ⊆ Aut C₂xC₁₀	40	6	(C2xC10).4(C2xA4)	480,268
(C₂xC₁₀).₅(C₂xA₄) = C₁₀xC₄²:C₃	φ: C₂xA₄/C₂³ → C₃ ⊆ Aut C₂xC₁₀	60	3	(C2xC10).5(C2xA4)	480,654
(C₂xC₁₀).₆(C₂xA₄) = C₅xC₂⁴:C₆	φ: C₂xA₄/C₂³ → C₃ ⊆ Aut C₂xC₁₀	40	6	(C2xC10).6(C2xA4)	480,656
(C₂xC₁₀).₇(C₂xA₄) = C₅xC₄²:C₆	φ: C₂xA₄/C₂³ → C₃ ⊆ Aut C₂xC₁₀	80	6	(C2xC10).7(C2xA4)	480,657
(C₂xC₁₀).₈(C₂xA₄) = C₅xC₂³.A₄	φ: C₂xA₄/C₂³ → C₃ ⊆ Aut C₂xC₁₀	60	6	(C2xC10).8(C2xA4)	480,658
(C₂xC₁₀).₉(C₂xA₄) = C₅xD₄.A₄	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).9(C2xA4)	480,1132
(C₂xC₁₀).₁₀(C₂xA₄) = Dic₅xSL₂(F₃)	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).10(C2xA4)	480,266
(C₂xC₁₀).₁₁(C₂xA₄) = C₂xDic₅.A₄	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).11(C2xA4)	480,1038
(C₂xC₁₀).₁₂(C₂xA₄) = C₂xD₅xSL₂(F₃)	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).12(C2xA4)	480,1039
(C₂xC₁₀).₁₃(C₂xA₄) = SL₂(F₃).₁₁D₁₀	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).13(C2xA4)	480,1040
(C₂xC₁₀).₁₄(C₂xA₄) = C₂xA₄xDic₅	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₂xC₁₀	120		(C2xC10).14(C2xA4)	480,1044
(C₂xC₁₀).₁₅(C₂xA₄) = C₂₀xSL₂(F₃)	central extension (φ=1)	160		(C2xC10).15(C2xA4)	480,655
(C₂xC₁₀).₁₆(C₂xA₄) = A₄xC₂xC₂₀	central extension (φ=1)	120		(C2xC10).16(C2xA4)	480,1126
(C₂xC₁₀).₁₇(C₂xA₄) = C₂xC₁₀xSL₂(F₃)	central extension (φ=1)	160		(C2xC10).17(C2xA4)	480,1128
(C₂xC₁₀).₁₈(C₂xA₄) = C₁₀xC₄.A₄	central extension (φ=1)	160		(C2xC10).18(C2xA4)	480,1130

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