Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₂xC₄

Direct product G=NxQ with N=C₂xC₁₀ and Q=C₂xC₄

		d	ρ	Label	ID
C₂³xC₂₀		160		C2^3xC20	160,228

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):(C₂xC₄) = D₄xF₅	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₂xC₁₀	20	8+	(C2xC10):(C2xC4)	160,207
(C₂xC₁₀):₂(C₂xC₄) = C₂xC₂²:F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	40		(C2xC10):2(C2xC4)	160,212
(C₂xC₁₀):₃(C₂xC₄) = C₂³xF₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	40		(C2xC10):3(C2xC4)	160,236
(C₂xC₁₀):₄(C₂xC₄) = D₅xC₂²:C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂xC₁₀	40		(C2xC10):4(C2xC4)	160,101
(C₂xC₁₀):₅(C₂xC₄) = Dic₅:₄D₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂xC₁₀	80		(C2xC10):5(C2xC4)	160,102
(C₂xC₁₀):₆(C₂xC₄) = D₄xDic₅	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂xC₁₀	80		(C2xC10):6(C2xC4)	160,155
(C₂xC₁₀):₇(C₂xC₄) = D₄xC₂₀	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10):7(C2xC4)	160,179
(C₂xC₁₀):₈(C₂xC₄) = C₄xC₅:D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10):8(C2xC4)	160,149
(C₂xC₁₀):₉(C₂xC₄) = D₅xC₂²xC₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10):9(C2xC4)	160,214
(C₂xC₁₀):₁₀(C₂xC₄) = C₁₀xC₂²:C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10):10(C2xC4)	160,176
(C₂xC₁₀):₁₁(C₂xC₄) = C₂xC₂³.D₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10):11(C2xC4)	160,173
(C₂xC₁₀):₁₂(C₂xC₄) = C₂³xDic₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10):12(C2xC4)	160,226

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).(C₂xC₄) = D₄.F₅	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₂xC₁₀	80	8-	(C2xC10).(C2xC4)	160,206
(C₂xC₁₀).₂(C₂xC₄) = D₁₀.D₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	40	4+	(C2xC10).2(C2xC4)	160,74
(C₂xC₁₀).₃(C₂xC₄) = C₄xC₅:C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	160		(C2xC10).3(C2xC4)	160,75
(C₂xC₁₀).₄(C₂xC₄) = C₂₀:C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	160		(C2xC10).4(C2xC4)	160,76
(C₂xC₁₀).₅(C₂xC₄) = C₁₀.C₄²	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	160		(C2xC10).5(C2xC4)	160,77
(C₂xC₁₀).₆(C₂xC₄) = D₁₀:C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).6(C2xC4)	160,78
(C₂xC₁₀).₇(C₂xC₄) = Dic₅:C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	160		(C2xC10).7(C2xC4)	160,79
(C₂xC₁₀).₈(C₂xC₄) = Dic₅.D₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	80	4-	(C2xC10).8(C2xC4)	160,80
(C₂xC₁₀).₉(C₂xC₄) = D₁₀.₃Q₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	40		(C2xC10).9(C2xC4)	160,81
(C₂xC₁₀).₁₀(C₂xC₄) = C₂³:F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	40	4	(C2xC10).10(C2xC4)	160,86
(C₂xC₁₀).₁₁(C₂xC₄) = C₂³.₂F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).11(C2xC4)	160,87
(C₂xC₁₀).₁₂(C₂xC₄) = C₂³.F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	40	4	(C2xC10).12(C2xC4)	160,88
(C₂xC₁₀).₁₃(C₂xC₄) = C₂xD₅:C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).13(C2xC4)	160,200
(C₂xC₁₀).₁₄(C₂xC₄) = C₂xC₄.F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).14(C2xC4)	160,201
(C₂xC₁₀).₁₅(C₂xC₄) = D₅:M₄(2)	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	40	4	(C2xC10).15(C2xC4)	160,202
(C₂xC₁₀).₁₆(C₂xC₄) = C₂xC₄xF₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	40		(C2xC10).16(C2xC4)	160,203
(C₂xC₁₀).₁₇(C₂xC₄) = C₂xC₄:F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	40		(C2xC10).17(C2xC4)	160,204
(C₂xC₁₀).₁₈(C₂xC₄) = D₁₀.C₂³	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	40	4	(C2xC10).18(C2xC4)	160,205
(C₂xC₁₀).₁₉(C₂xC₄) = C₂²xC₅:C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	160		(C2xC10).19(C2xC4)	160,210
(C₂xC₁₀).₂₀(C₂xC₄) = C₂xC₂².F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10).20(C2xC4)	160,211
(C₂xC₁₀).₂₁(C₂xC₄) = C₂³.₁D₁₀	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂xC₁₀	40	4	(C2xC10).21(C2xC4)	160,13
(C₂xC₁₀).₂₂(C₂xC₄) = C₂₀.₄₆D₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂xC₁₀	40	4+	(C2xC10).22(C2xC4)	160,30
(C₂xC₁₀).₂₃(C₂xC₄) = C₄.₁₂D₂₀	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂xC₁₀	80	4-	(C2xC10).23(C2xC4)	160,31
(C₂xC₁₀).₂₄(C₂xC₄) = C₂³.₁₁D₁₀	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂xC₁₀	80		(C2xC10).24(C2xC4)	160,98
(C₂xC₁₀).₂₅(C₂xC₄) = D₅xM₄(2)	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂xC₁₀	40	4	(C2xC10).25(C2xC4)	160,127
(C₂xC₁₀).₂₆(C₂xC₄) = D₂₀.₂C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂xC₁₀	80	4	(C2xC10).26(C2xC4)	160,128
(C₂xC₁₀).₂₇(C₂xC₄) = D₄.Dic₅	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂xC₁₀	80	4	(C2xC10).27(C2xC4)	160,169
(C₂xC₁₀).₂₈(C₂xC₄) = C₅xC₈oD₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	80	2	(C2xC10).28(C2xC4)	160,192
(C₂xC₁₀).₂₉(C₂xC₄) = C₈xDic₅	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).29(C2xC4)	160,20
(C₂xC₁₀).₃₀(C₂xC₄) = C₂₀.₈Q₈	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).30(C2xC4)	160,21
(C₂xC₁₀).₃₁(C₂xC₄) = C₄₀:₈C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).31(C2xC4)	160,22
(C₂xC₁₀).₃₂(C₂xC₄) = D₁₀:₁C₈	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).32(C2xC4)	160,27
(C₂xC₁₀).₃₃(C₂xC₄) = C₁₀.₁₀C₄²	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).33(C2xC4)	160,38
(C₂xC₁₀).₃₄(C₂xC₄) = D₅xC₂xC₈	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).34(C2xC4)	160,120
(C₂xC₁₀).₃₅(C₂xC₄) = C₂xC₈:D₅	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).35(C2xC4)	160,121
(C₂xC₁₀).₃₆(C₂xC₄) = D₂₀.₃C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	80	2	(C2xC10).36(C2xC4)	160,122
(C₂xC₁₀).₃₇(C₂xC₄) = C₂xC₁₀.D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).37(C2xC4)	160,144
(C₂xC₁₀).₃₈(C₂xC₄) = C₂xD₁₀:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).38(C2xC4)	160,148
(C₂xC₁₀).₃₉(C₂xC₄) = C₅xC₂³:C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	40	4	(C2xC10).39(C2xC4)	160,49
(C₂xC₁₀).₄₀(C₂xC₄) = C₅xC₄.D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	40	4	(C2xC10).40(C2xC4)	160,50
(C₂xC₁₀).₄₁(C₂xC₄) = C₅xC₄.₁₀D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).41(C2xC4)	160,51
(C₂xC₁₀).₄₂(C₂xC₄) = C₅xC₄²:C₂	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).42(C2xC4)	160,178
(C₂xC₁₀).₄₃(C₂xC₄) = C₁₀xM₄(2)	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).43(C2xC4)	160,191
(C₂xC₁₀).₄₄(C₂xC₄) = C₄xC₅:₂C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).44(C2xC4)	160,9
(C₂xC₁₀).₄₅(C₂xC₄) = C₄².D₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).45(C2xC4)	160,10
(C₂xC₁₀).₄₆(C₂xC₄) = C₂₀:₃C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).46(C2xC4)	160,11
(C₂xC₁₀).₄₇(C₂xC₄) = C₂₀.₅₅D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).47(C2xC4)	160,37
(C₂xC₁₀).₄₈(C₂xC₄) = C₂₀.D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	40	4	(C2xC10).48(C2xC4)	160,40
(C₂xC₁₀).₄₉(C₂xC₄) = C₂³:Dic₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	40	4	(C2xC10).49(C2xC4)	160,41
(C₂xC₁₀).₅₀(C₂xC₄) = C₂₀.₁₀D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).50(C2xC4)	160,43
(C₂xC₁₀).₅₁(C₂xC₄) = C₂²xC₅:₂C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).51(C2xC4)	160,141
(C₂xC₁₀).₅₂(C₂xC₄) = C₂xC₄.Dic₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).52(C2xC4)	160,142
(C₂xC₁₀).₅₃(C₂xC₄) = C₂xC₄xDic₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).53(C2xC4)	160,143
(C₂xC₁₀).₅₄(C₂xC₄) = C₂xC₄:Dic₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).54(C2xC4)	160,146
(C₂xC₁₀).₅₅(C₂xC₄) = C₂³.₂₁D₁₀	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).55(C2xC4)	160,147
(C₂xC₁₀).₅₆(C₂xC₄) = C₅xC₂.C₄²	central extension (φ=1)	160		(C2xC10).56(C2xC4)	160,45
(C₂xC₁₀).₅₇(C₂xC₄) = C₅xC₈:C₄	central extension (φ=1)	160		(C2xC10).57(C2xC4)	160,47
(C₂xC₁₀).₅₈(C₂xC₄) = C₅xC₂²:C₈	central extension (φ=1)	80		(C2xC10).58(C2xC4)	160,48
(C₂xC₁₀).₅₉(C₂xC₄) = C₅xC₄:C₈	central extension (φ=1)	160		(C2xC10).59(C2xC4)	160,55
(C₂xC₁₀).₆₀(C₂xC₄) = C₁₀xC₄:C₄	central extension (φ=1)	160		(C2xC10).60(C2xC4)	160,177

Extensions 1→N→G→Q→1 with N=C2xC10 and Q=C2xC4

Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₂xC₄