Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂xC₈

Direct product G=NxQ with N=C₂₀ and Q=C₂xC₈

		d	ρ	Label	ID
C₂xC₄xC₄₀		320		C2xC4xC40	320,903

Semidirect products G=N:Q with N=C₂₀ and Q=C₂xC₈

extension	φ:Q→Aut N	d	Label	ID
C₂₀:₁(C₂xC₈) = D₂₀:₂C₈	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	160	C20:1(C2xC8)	320,1040
C₂₀:₂(C₂xC₈) = D₄xC₅:C₈	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	160	C20:2(C2xC8)	320,1110
C₂₀:₃(C₂xC₈) = C₄².₁₁F₅	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	160	C20:3(C2xC8)	320,1017
C₂₀:₄(C₂xC₈) = C₄xD₅:C₈	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	160	C20:4(C2xC8)	320,1013
C₂₀:₅(C₂xC₈) = D₅xC₄:C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	160	C20:5(C2xC8)	320,459
C₂₀:₆(C₂xC₈) = D₂₀:₅C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	160	C20:6(C2xC8)	320,461
C₂₀:₇(C₂xC₈) = D₄xC₅:₂C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	160	C20:7(C2xC8)	320,637
C₂₀:₈(C₂xC₈) = C₂xC₂₀:C₈	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	320	C20:8(C2xC8)	320,1085
C₂₀:₉(C₂xC₈) = C₂xC₄xC₅:C₈	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	320	C20:9(C2xC8)	320,1084
C₂₀:₁₀(C₂xC₈) = C₈xD₂₀	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160	C20:10(C2xC8)	320,313
C₂₀:₁₁(C₂xC₈) = D₅xC₄xC₈	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160	C20:11(C2xC8)	320,311
C₂₀:₁₂(C₂xC₈) = D₄xC₄₀	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160	C20:12(C2xC8)	320,935
C₂₀:₁₃(C₂xC₈) = C₂xC₂₀:₃C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320	C20:13(C2xC8)	320,550
C₂₀:₁₄(C₂xC₈) = C₂xC₄xC₅:₂C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320	C20:14(C2xC8)	320,547
C₂₀:₁₅(C₂xC₈) = C₁₀xC₄:C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320	C20:15(C2xC8)	320,923

Non-split extensions G=N.Q with N=C₂₀ and Q=C₂xC₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁(C₂xC₈) = D₂₀:C₈	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	160		C20.1(C2xC8)	320,209
C₂₀.₂(C₂xC₈) = Dic₁₀:₁C₈	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	320		C20.2(C2xC8)	320,210
C₂₀.₃(C₂xC₈) = D₂₀.C₈	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	160	8	C20.3(C2xC8)	320,236
C₂₀.₄(C₂xC₈) = Dic₅.₂₃D₈	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	160		C20.4(C2xC8)	320,262
C₂₀.₅(C₂xC₈) = Dic₅.₁₂Q₁₆	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	320		C20.5(C2xC8)	320,268
C₂₀.₆(C₂xC₈) = D₄.(C₅:C₈)	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	160	8	C20.6(C2xC8)	320,270
C₂₀.₇(C₂xC₈) = Dic₁₀:C₈	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	320		C20.7(C2xC8)	320,1041
C₂₀.₈(C₂xC₈) = Dic₁₀.C₈	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	160	8	C20.8(C2xC8)	320,1063
C₂₀.₉(C₂xC₈) = Q₈xC₅:C₈	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	320		C20.9(C2xC8)	320,1124
C₂₀.₁₀(C₂xC₈) = C₅:C₁₆.C₂²	φ: C₂xC₈/C₂ → C₂xC₄ ⊆ Aut C₂₀	160	8	C20.10(C2xC8)	320,1129
C₂₀.₁₁(C₂xC₈) = C₄².₉F₅	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	80	4	C20.11(C2xC8)	320,199
C₂₀.₁₂(C₂xC₈) = C₂₀.₂₆M₄(2)	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	320		C20.12(C2xC8)	320,221
C₂₀.₁₃(C₂xC₈) = Dic₅.₁₃D₈	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	320		C20.13(C2xC8)	320,222
C₂₀.₁₄(C₂xC₈) = C₄².₁₂F₅	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	160		C20.14(C2xC8)	320,1018
C₂₀.₁₅(C₂xC₈) = D₅:M₅(2)	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	80	4	C20.15(C2xC8)	320,1053
C₂₀.₁₆(C₂xC₈) = D₅:C₃₂	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	160	4	C20.16(C2xC8)	320,179
C₂₀.₁₇(C₂xC₈) = C₈₀.C₄	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	160	4	C20.17(C2xC8)	320,180
C₂₀.₁₈(C₂xC₈) = C₄xC₅:C₁₆	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	320		C20.18(C2xC8)	320,195
C₂₀.₁₉(C₂xC₈) = C₄².₄F₅	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	320		C20.19(C2xC8)	320,197
C₂₀.₂₀(C₂xC₈) = C₈xC₅:C₈	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	320		C20.20(C2xC8)	320,216
C₂₀.₂₁(C₂xC₈) = C₄₀:C₈	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	320		C20.21(C2xC8)	320,217
C₂₀.₂₂(C₂xC₈) = C₄².₆F₅	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	160		C20.22(C2xC8)	320,1016
C₂₀.₂₃(C₂xC₈) = C₂xD₅:C₁₆	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	160		C20.23(C2xC8)	320,1051
C₂₀.₂₄(C₂xC₈) = C₂xC₈.F₅	φ: C₂xC₈/C₄ → C₄ ⊆ Aut C₂₀	160		C20.24(C2xC8)	320,1052
C₂₀.₂₅(C₂xC₈) = C₂₀.₅₃D₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	320		C20.25(C2xC8)	320,37
C₂₀.₂₆(C₂xC₈) = C₂₀.₃₉SD₁₆	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	320		C20.26(C2xC8)	320,38
C₂₀.₂₇(C₂xC₈) = D₂₀:₄C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	160		C20.27(C2xC8)	320,41
C₂₀.₂₈(C₂xC₈) = Dic₁₀:₄C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	320		C20.28(C2xC8)	320,42
C₂₀.₂₉(C₂xC₈) = C₄₀.₉Q₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	80	4	C20.29(C2xC8)	320,69
C₂₀.₃₀(C₂xC₈) = D₂₀.₄C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	160	4	C20.30(C2xC8)	320,73
C₂₀.₃₁(C₂xC₈) = C₂₀.₅₇D₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	160		C20.31(C2xC8)	320,92
C₂₀.₃₂(C₂xC₈) = C₂₀.₂₆Q₁₆	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	320		C20.32(C2xC8)	320,93
C₂₀.₃₃(C₂xC₈) = C₄₀.₉₂D₄	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	160	4	C20.33(C2xC8)	320,119
C₂₀.₃₄(C₂xC₈) = Dic₁₀:₅C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	320		C20.34(C2xC8)	320,457
C₂₀.₃₅(C₂xC₈) = C₄².₂₀₀D₁₀	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	160		C20.35(C2xC8)	320,460
C₂₀.₃₆(C₂xC₈) = D₅xM₅(2)	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	80	4	C20.36(C2xC8)	320,533
C₂₀.₃₇(C₂xC₈) = D₂₀.₅C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	160	4	C20.37(C2xC8)	320,534
C₂₀.₃₈(C₂xC₈) = Q₈xC₅:₂C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	320		C20.38(C2xC8)	320,650
C₂₀.₃₉(C₂xC₈) = C₄₀.₇₀C₂³	φ: C₂xC₈/C₄ → C₂² ⊆ Aut C₂₀	160	4	C20.39(C2xC8)	320,767
C₂₀.₄₀(C₂xC₈) = C₄₀:₂C₈	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	320		C20.40(C2xC8)	320,219
C₂₀.₄₁(C₂xC₈) = C₄₀:₁C₈	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	320		C20.41(C2xC8)	320,220
C₂₀.₄₂(C₂xC₈) = C₄₀.₁C₈	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	80	4	C20.42(C2xC8)	320,227
C₂₀.₄₃(C₂xC₈) = C₂xC₂₀.C₈	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	160		C20.43(C2xC8)	320,1081
C₂₀.₄₄(C₂xC₈) = Dic₅.₁₂M₄(2)	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	160		C20.44(C2xC8)	320,1086
C₂₀.₄₅(C₂xC₈) = C₂xC₅:C₃₂	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	320		C20.45(C2xC8)	320,214
C₂₀.₄₆(C₂xC₈) = C₅:M₆(2)	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	160	4	C20.46(C2xC8)	320,215
C₂₀.₄₇(C₂xC₈) = Dic₅:C₁₆	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	320		C20.47(C2xC8)	320,223
C₂₀.₄₈(C₂xC₈) = C₄₀.C₈	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	320		C20.48(C2xC8)	320,224
C₂₀.₄₉(C₂xC₈) = C₂²xC₅:C₁₆	φ: C₂xC₈/C₂² → C₄ ⊆ Aut C₂₀	320		C20.49(C2xC8)	320,1080
C₂₀.₅₀(C₂xC₈) = Dic₁₀:₃C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	320		C20.50(C2xC8)	320,14
C₂₀.₅₁(C₂xC₈) = D₂₀:₃C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160		C20.51(C2xC8)	320,17
C₂₀.₅₂(C₂xC₈) = D₂₀.₃C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160	2	C20.52(C2xC8)	320,66
C₂₀.₅₃(C₂xC₈) = C₈xDic₁₀	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	320		C20.53(C2xC8)	320,305
C₂₀.₅₄(C₂xC₈) = D₂₀.₆C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160	2	C20.54(C2xC8)	320,528
C₂₀.₅₅(C₂xC₈) = D₅xC₃₂	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160	2	C20.55(C2xC8)	320,4
C₂₀.₅₆(C₂xC₈) = C₃₂:D₅	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160	2	C20.56(C2xC8)	320,5
C₂₀.₅₇(C₂xC₈) = C₈xC₅:₂C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	320		C20.57(C2xC8)	320,11
C₂₀.₅₈(C₂xC₈) = C₄².₂₇₉D₁₀	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	320		C20.58(C2xC8)	320,12
C₂₀.₅₉(C₂xC₈) = C₁₆xDic₅	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	320		C20.59(C2xC8)	320,58
C₂₀.₆₀(C₂xC₈) = C₈₀:₁₇C₄	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	320		C20.60(C2xC8)	320,60
C₂₀.₆₁(C₂xC₈) = C₄².₂₈₂D₁₀	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160		C20.61(C2xC8)	320,312
C₂₀.₆₂(C₂xC₈) = D₅xC₂xC₁₆	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160		C20.62(C2xC8)	320,526
C₂₀.₆₃(C₂xC₈) = C₂xC₈₀:C₂	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160		C20.63(C2xC8)	320,527
C₂₀.₆₄(C₂xC₈) = C₅xD₄:C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160		C20.64(C2xC8)	320,130
C₂₀.₆₅(C₂xC₈) = C₅xQ₈:C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	320		C20.65(C2xC8)	320,131
C₂₀.₆₆(C₂xC₈) = C₅xD₄.C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160	2	C20.66(C2xC8)	320,155
C₂₀.₆₇(C₂xC₈) = Q₈xC₄₀	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	320		C20.67(C2xC8)	320,946
C₂₀.₆₈(C₂xC₈) = C₅xD₄oC₁₆	φ: C₂xC₈/C₈ → C₂ ⊆ Aut C₂₀	160	2	C20.68(C2xC8)	320,1005
C₂₀.₆₉(C₂xC₈) = C₄₀:₆C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320		C20.69(C2xC8)	320,15
C₂₀.₇₀(C₂xC₈) = C₄₀:₅C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320		C20.70(C2xC8)	320,16
C₂₀.₇₁(C₂xC₈) = C₄₀.₇C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	80	2	C20.71(C2xC8)	320,21
C₂₀.₇₂(C₂xC₈) = C₄².₆Dic₅	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	160		C20.72(C2xC8)	320,552
C₂₀.₇₃(C₂xC₈) = C₄₀:₈C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320		C20.73(C2xC8)	320,13
C₂₀.₇₄(C₂xC₈) = C₄xC₅:₂C₁₆	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320		C20.74(C2xC8)	320,18
C₂₀.₇₅(C₂xC₈) = C₄₀.₁₀C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320		C20.75(C2xC8)	320,19
C₂₀.₇₆(C₂xC₈) = C₂xC₅:₂C₃₂	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320		C20.76(C2xC8)	320,56
C₂₀.₇₇(C₂xC₈) = C₈₀.₉C₄	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	160	2	C20.77(C2xC8)	320,57
C₂₀.₇₈(C₂xC₈) = C₂²xC₅:₂C₁₆	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320		C20.78(C2xC8)	320,723
C₂₀.₇₉(C₂xC₈) = C₂xC₂₀.₄C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	160		C20.79(C2xC8)	320,724
C₂₀.₈₀(C₂xC₈) = C₅xC₈:₂C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320		C20.80(C2xC8)	320,139
C₂₀.₈₁(C₂xC₈) = C₅xC₈:₁C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	320		C20.81(C2xC8)	320,140
C₂₀.₈₂(C₂xC₈) = C₅xC₈.C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	80	2	C20.82(C2xC8)	320,169
C₂₀.₈₃(C₂xC₈) = C₅xC₄².₁₂C₄	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	160		C20.83(C2xC8)	320,932
C₂₀.₈₄(C₂xC₈) = C₁₀xM₅(2)	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Aut C₂₀	160		C20.84(C2xC8)	320,1004
C₂₀.₈₅(C₂xC₈) = C₅xC₈:C₈	central extension (φ=1)	320		C20.85(C2xC8)	320,127
C₂₀.₈₆(C₂xC₈) = C₅xC₁₆:₅C₄	central extension (φ=1)	320		C20.86(C2xC8)	320,151
C₂₀.₈₇(C₂xC₈) = C₅xM₆(2)	central extension (φ=1)	160	2	C20.87(C2xC8)	320,175

Extensions 1→N→G→Q→1 with N=C20 and Q=C2xC8

Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂xC₈