Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂xC₄

Direct product G=NxQ with N=C₂₀ and Q=C₂xC₄

		d	ρ	Label	ID
C₂xC₄xC₂₀		160		C2xC4xC20	160,175

Semidirect products G=N:Q with N=C₂₀ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀:(C₂xC₄) = D₄xF₅	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₂₀	20	8+	C20:(C2xC4)	160,207
C₂₀:₂(C₂xC₄) = C₂xC₄:F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	40		C20:2(C2xC4)	160,204
C₂₀:₃(C₂xC₄) = C₂xC₄xF₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	40		C20:3(C2xC4)	160,203
C₂₀:₄(C₂xC₄) = D₅xC₄:C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	80		C20:4(C2xC4)	160,112
C₂₀:₅(C₂xC₄) = D₂₀:₈C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	80		C20:5(C2xC4)	160,114
C₂₀:₆(C₂xC₄) = D₄xDic₅	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	80		C20:6(C2xC4)	160,155
C₂₀:₇(C₂xC₄) = C₄xD₂₀	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80		C20:7(C2xC4)	160,94
C₂₀:₈(C₂xC₄) = D₅xC₄²	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80		C20:8(C2xC4)	160,92
C₂₀:₉(C₂xC₄) = D₄xC₂₀	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80		C20:9(C2xC4)	160,179
C₂₀:₁₀(C₂xC₄) = C₂xC₄:Dic₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20:10(C2xC4)	160,146
C₂₀:₁₁(C₂xC₄) = C₂xC₄xDic₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20:11(C2xC4)	160,143
C₂₀:₁₂(C₂xC₄) = C₁₀xC₄:C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20:12(C2xC4)	160,177

Non-split extensions G=N.Q with N=C₂₀ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁(C₂xC₄) = D₂₀:C₄	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₂₀	40	8+	C20.1(C2xC4)	160,82
C₂₀.₂(C₂xC₄) = D₄:F₅	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₂₀	40	8-	C20.2(C2xC4)	160,83
C₂₀.₃(C₂xC₄) = Q₈:F₅	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₂₀	40	8-	C20.3(C2xC4)	160,84
C₂₀.₄(C₂xC₄) = Q₈:₂F₅	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₂₀	40	8+	C20.4(C2xC4)	160,85
C₂₀.₅(C₂xC₄) = D₄.F₅	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₂₀	80	8-	C20.5(C2xC4)	160,206
C₂₀.₆(C₂xC₄) = Q₈.F₅	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₂₀	80	8+	C20.6(C2xC4)	160,208
C₂₀.₇(C₂xC₄) = Q₈xF₅	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₂₀	40	8-	C20.7(C2xC4)	160,209
C₂₀.₈(C₂xC₄) = C₄₀:C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	40	4	C20.8(C2xC4)	160,68
C₂₀.₉(C₂xC₄) = D₅.D₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	40	4	C20.9(C2xC4)	160,69
C₂₀.₁₀(C₂xC₄) = C₄₀.C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	80	4	C20.10(C2xC4)	160,70
C₂₀.₁₁(C₂xC₄) = D₁₀.Q₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	80	4	C20.11(C2xC4)	160,71
C₂₀.₁₂(C₂xC₄) = C₂xC₄.F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	80		C20.12(C2xC4)	160,201
C₂₀.₁₃(C₂xC₄) = D₅:C₁₆	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	80	4	C20.13(C2xC4)	160,64
C₂₀.₁₄(C₂xC₄) = C₈.F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	80	4	C20.14(C2xC4)	160,65
C₂₀.₁₅(C₂xC₄) = C₈xF₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	40	4	C20.15(C2xC4)	160,66
C₂₀.₁₆(C₂xC₄) = C₈:F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	40	4	C20.16(C2xC4)	160,67
C₂₀.₁₇(C₂xC₄) = C₂xC₅:C₁₆	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	160		C20.17(C2xC4)	160,72
C₂₀.₁₈(C₂xC₄) = C₂₀.C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	80	4	C20.18(C2xC4)	160,73
C₂₀.₁₉(C₂xC₄) = C₂xD₅:C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	80		C20.19(C2xC4)	160,200
C₂₀.₂₀(C₂xC₄) = D₅:M₄(2)	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	40	4	C20.20(C2xC4)	160,202
C₂₀.₂₁(C₂xC₄) = D₁₀.C₂³	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₂₀	40	4	C20.21(C2xC4)	160,205
C₂₀.₂₂(C₂xC₄) = C₁₀.D₈	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	160		C20.22(C2xC4)	160,14
C₂₀.₂₃(C₂xC₄) = C₂₀.Q₈	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	160		C20.23(C2xC4)	160,15
C₂₀.₂₄(C₂xC₄) = D₂₀:₆C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	80		C20.24(C2xC4)	160,16
C₂₀.₂₅(C₂xC₄) = C₁₀.Q₁₆	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	160		C20.25(C2xC4)	160,17
C₂₀.₂₆(C₂xC₄) = C₂₀.₅₃D₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	80	4	C20.26(C2xC4)	160,29
C₂₀.₂₇(C₂xC₄) = D₂₀:₇C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	40	4	C20.27(C2xC4)	160,32
C₂₀.₂₈(C₂xC₄) = D₄:Dic₅	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	80		C20.28(C2xC4)	160,39
C₂₀.₂₉(C₂xC₄) = Q₈:Dic₅	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	160		C20.29(C2xC4)	160,42
C₂₀.₃₀(C₂xC₄) = D₄:₂Dic₅	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	40	4	C20.30(C2xC4)	160,44
C₂₀.₃₁(C₂xC₄) = Dic₅:₃Q₈	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	160		C20.31(C2xC4)	160,108
C₂₀.₃₂(C₂xC₄) = C₄:C₄:₇D₅	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	80		C20.32(C2xC4)	160,113
C₂₀.₃₃(C₂xC₄) = D₅xM₄(2)	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	40	4	C20.33(C2xC4)	160,127
C₂₀.₃₄(C₂xC₄) = D₂₀.₂C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	80	4	C20.34(C2xC4)	160,128
C₂₀.₃₅(C₂xC₄) = Q₈xDic₅	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	160		C20.35(C2xC4)	160,166
C₂₀.₃₆(C₂xC₄) = D₄.Dic₅	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₂₀	80	4	C20.36(C2xC4)	160,169
C₂₀.₃₇(C₂xC₄) = D₂₀:₄C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	40	2	C20.37(C2xC4)	160,12
C₂₀.₃₈(C₂xC₄) = C₂₀.₄₄D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	160		C20.38(C2xC4)	160,23
C₂₀.₃₉(C₂xC₄) = D₂₀:₅C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80		C20.39(C2xC4)	160,28
C₂₀.₄₀(C₂xC₄) = C₄xDic₁₀	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	160		C20.40(C2xC4)	160,89
C₂₀.₄₁(C₂xC₄) = D₂₀.₃C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80	2	C20.41(C2xC4)	160,122
C₂₀.₄₂(C₂xC₄) = D₅xC₁₆	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80	2	C20.42(C2xC4)	160,4
C₂₀.₄₃(C₂xC₄) = C₈₀:C₂	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80	2	C20.43(C2xC4)	160,5
C₂₀.₄₄(C₂xC₄) = C₄xC₅:₂C₈	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	160		C20.44(C2xC4)	160,9
C₂₀.₄₅(C₂xC₄) = C₄².D₅	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	160		C20.45(C2xC4)	160,10
C₂₀.₄₆(C₂xC₄) = C₄²:D₅	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80		C20.46(C2xC4)	160,93
C₂₀.₄₇(C₂xC₄) = D₅xC₂xC₈	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80		C20.47(C2xC4)	160,120
C₂₀.₄₈(C₂xC₄) = C₂xC₈:D₅	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80		C20.48(C2xC4)	160,121
C₂₀.₄₉(C₂xC₄) = C₅xD₄:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80		C20.49(C2xC4)	160,52
C₂₀.₅₀(C₂xC₄) = C₅xQ₈:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	160		C20.50(C2xC4)	160,53
C₂₀.₅₁(C₂xC₄) = C₅xC₄wrC₂	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	40	2	C20.51(C2xC4)	160,54
C₂₀.₅₂(C₂xC₄) = Q₈xC₂₀	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	160		C20.52(C2xC4)	160,180
C₂₀.₅₃(C₂xC₄) = C₅xC₈oD₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂₀	80	2	C20.53(C2xC4)	160,192
C₂₀.₅₄(C₂xC₄) = C₄₀:₆C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20.54(C2xC4)	160,24
C₂₀.₅₅(C₂xC₄) = C₄₀:₅C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20.55(C2xC4)	160,25
C₂₀.₅₆(C₂xC₄) = C₄₀.₆C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	80	2	C20.56(C2xC4)	160,26
C₂₀.₅₇(C₂xC₄) = C₂xC₄.Dic₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	80		C20.57(C2xC4)	160,142
C₂₀.₅₈(C₂xC₄) = C₂³.₂₁D₁₀	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	80		C20.58(C2xC4)	160,147
C₂₀.₅₉(C₂xC₄) = C₂xC₅:₂C₁₆	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20.59(C2xC4)	160,18
C₂₀.₆₀(C₂xC₄) = C₂₀.₄C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	80	2	C20.60(C2xC4)	160,19
C₂₀.₆₁(C₂xC₄) = C₈xDic₅	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20.61(C2xC4)	160,20
C₂₀.₆₂(C₂xC₄) = C₄₀:₈C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20.62(C2xC4)	160,22
C₂₀.₆₃(C₂xC₄) = C₂²xC₅:₂C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20.63(C2xC4)	160,141
C₂₀.₆₄(C₂xC₄) = C₅xC₄.Q₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20.64(C2xC4)	160,56
C₂₀.₆₅(C₂xC₄) = C₅xC₂.D₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	160		C20.65(C2xC4)	160,57
C₂₀.₆₆(C₂xC₄) = C₅xC₈.C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	80	2	C20.66(C2xC4)	160,58
C₂₀.₆₇(C₂xC₄) = C₅xC₄²:C₂	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	80		C20.67(C2xC4)	160,178
C₂₀.₆₈(C₂xC₄) = C₁₀xM₄(2)	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂₀	80		C20.68(C2xC4)	160,191
C₂₀.₆₉(C₂xC₄) = C₅xC₈:C₄	central extension (φ=1)	160		C20.69(C2xC4)	160,47
C₂₀.₇₀(C₂xC₄) = C₅xM₅(2)	central extension (φ=1)	80	2	C20.70(C2xC4)	160,60

Extensions 1→N→G→Q→1 with N=C20 and Q=C2xC4

Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂xC₄