Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂²xC₆

Direct product G=NxQ with N=C₂₀ and Q=C₂²xC₆

		d	ρ	Label	ID
C₂³xC₆₀		480		C2^3xC60	480,1180

Semidirect products G=N:Q with N=C₂₀ and Q=C₂²xC₆

extension	φ:Q→Aut N	d	Label	ID
C₂₀:(C₂²xC₆) = C₆xD₄xD₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	120	C20:(C2^2xC6)	480,1139
C₂₀:₂(C₂²xC₆) = C₂xC₆xD₂₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	C20:2(C2^2xC6)	480,1137
C₂₀:₃(C₂²xC₆) = D₅xC₂²xC₁₂	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	C20:3(C2^2xC6)	480,1136
C₂₀:₄(C₂²xC₆) = D₄xC₂xC₃₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	C20:4(C2^2xC6)	480,1181

Non-split extensions G=N.Q with N=C₂₀ and Q=C₂²xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁(C₂²xC₆) = C₃xD₅xD₈	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	120	4	C20.1(C2^2xC6)	480,703
C₂₀.₂(C₂²xC₆) = C₃xD₈:D₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	120	4	C20.2(C2^2xC6)	480,704
C₂₀.₃(C₂²xC₆) = C₃xD₈:₃D₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.3(C2^2xC6)	480,705
C₂₀.₄(C₂²xC₆) = C₃xD₅xSD₁₆	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	120	4	C20.4(C2^2xC6)	480,706
C₂₀.₅(C₂²xC₆) = C₃xD₄₀:C₂	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	120	4	C20.5(C2^2xC6)	480,707
C₂₀.₆(C₂²xC₆) = C₃xSD₁₆:D₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.6(C2^2xC6)	480,708
C₂₀.₇(C₂²xC₆) = C₃xSD₁₆:₃D₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.7(C2^2xC6)	480,709
C₂₀.₈(C₂²xC₆) = C₃xD₅xQ₁₆	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.8(C2^2xC6)	480,710
C₂₀.₉(C₂²xC₆) = C₃xQ₁₆:D₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.9(C2^2xC6)	480,711
C₂₀.₁₀(C₂²xC₆) = C₃xQ₈.D₁₀	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.10(C2^2xC6)	480,712
C₂₀.₁₁(C₂²xC₆) = C₆xD₄:D₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240		C20.11(C2^2xC6)	480,724
C₂₀.₁₂(C₂²xC₆) = C₃xD₄.D₁₀	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	120	4	C20.12(C2^2xC6)	480,725
C₂₀.₁₃(C₂²xC₆) = C₆xD₄.D₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240		C20.13(C2^2xC6)	480,726
C₂₀.₁₄(C₂²xC₆) = C₆xQ₈:D₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240		C20.14(C2^2xC6)	480,734
C₂₀.₁₅(C₂²xC₆) = C₃xC₂₀.C₂³	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.15(C2^2xC6)	480,735
C₂₀.₁₆(C₂²xC₆) = C₆xC₅:Q₁₆	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	480		C20.16(C2^2xC6)	480,736
C₂₀.₁₇(C₂²xC₆) = C₃xD₄:D₁₀	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	120	4	C20.17(C2^2xC6)	480,742
C₂₀.₁₈(C₂²xC₆) = C₃xD₄.₈D₁₀	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.18(C2^2xC6)	480,743
C₂₀.₁₉(C₂²xC₆) = C₃xD₄.₉D₁₀	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.19(C2^2xC6)	480,744
C₂₀.₂₀(C₂²xC₆) = C₆xD₄:₂D₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240		C20.20(C2^2xC6)	480,1140
C₂₀.₂₁(C₂²xC₆) = C₃xD₄:₆D₁₀	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	120	4	C20.21(C2^2xC6)	480,1141
C₂₀.₂₂(C₂²xC₆) = C₆xQ₈xD₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240		C20.22(C2^2xC6)	480,1142
C₂₀.₂₃(C₂²xC₆) = C₆xQ₈:₂D₅	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240		C20.23(C2^2xC6)	480,1143
C₂₀.₂₄(C₂²xC₆) = C₃xQ₈.₁₀D₁₀	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.24(C2^2xC6)	480,1144
C₂₀.₂₅(C₂²xC₆) = C₃xD₄:₈D₁₀	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	120	4	C20.25(C2^2xC6)	480,1146
C₂₀.₂₆(C₂²xC₆) = C₃xD₄.₁₀D₁₀	φ: C₂²xC₆/C₆ → C₂² ⊆ Aut C₂₀	240	4	C20.26(C2^2xC6)	480,1147
C₂₀.₂₇(C₂²xC₆) = C₆xC₄₀:C₂	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240		C20.27(C2^2xC6)	480,695
C₂₀.₂₈(C₂²xC₆) = C₆xD₄₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240		C20.28(C2^2xC6)	480,696
C₂₀.₂₉(C₂²xC₆) = C₃xD₄₀:₇C₂	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	2	C20.29(C2^2xC6)	480,697
C₂₀.₃₀(C₂²xC₆) = C₆xDic₂₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	480		C20.30(C2^2xC6)	480,698
C₂₀.₃₁(C₂²xC₆) = C₃xC₈:D₁₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	120	4	C20.31(C2^2xC6)	480,701
C₂₀.₃₂(C₂²xC₆) = C₃xC₈.D₁₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	4	C20.32(C2^2xC6)	480,702
C₂₀.₃₃(C₂²xC₆) = C₂xC₆xDic₁₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	480		C20.33(C2^2xC6)	480,1135
C₂₀.₃₄(C₂²xC₆) = D₅xC₂xC₂₄	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240		C20.34(C2^2xC6)	480,692
C₂₀.₃₅(C₂²xC₆) = C₆xC₈:D₅	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240		C20.35(C2^2xC6)	480,693
C₂₀.₃₆(C₂²xC₆) = C₃xD₂₀.₃C₄	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	2	C20.36(C2^2xC6)	480,694
C₂₀.₃₇(C₂²xC₆) = C₃xD₅xM₄(2)	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	120	4	C20.37(C2^2xC6)	480,699
C₂₀.₃₈(C₂²xC₆) = C₃xD₂₀.₂C₄	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	4	C20.38(C2^2xC6)	480,700
C₂₀.₃₉(C₂²xC₆) = C₂xC₆xC₅:₂C₈	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	480		C20.39(C2^2xC6)	480,713
C₂₀.₄₀(C₂²xC₆) = C₆xC₄.Dic₅	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240		C20.40(C2^2xC6)	480,714
C₂₀.₄₁(C₂²xC₆) = C₃xD₄.Dic₅	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	4	C20.41(C2^2xC6)	480,741
C₂₀.₄₂(C₂²xC₆) = C₆xC₄oD₂₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240		C20.42(C2^2xC6)	480,1138
C₂₀.₄₃(C₂²xC₆) = C₃xD₅xC₄oD₄	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	120	4	C20.43(C2^2xC6)	480,1145
C₂₀.₄₄(C₂²xC₆) = D₈xC₃₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240		C20.44(C2^2xC6)	480,937
C₂₀.₄₅(C₂²xC₆) = SD₁₆xC₃₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240		C20.45(C2^2xC6)	480,938
C₂₀.₄₆(C₂²xC₆) = Q₁₆xC₃₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	480		C20.46(C2^2xC6)	480,939
C₂₀.₄₇(C₂²xC₆) = C₁₅xC₄oD₈	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	2	C20.47(C2^2xC6)	480,940
C₂₀.₄₈(C₂²xC₆) = C₁₅xC₈:C₂²	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	120	4	C20.48(C2^2xC6)	480,941
C₂₀.₄₉(C₂²xC₆) = C₁₅xC₈.C₂²	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	4	C20.49(C2^2xC6)	480,942
C₂₀.₅₀(C₂²xC₆) = Q₈xC₂xC₃₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	480		C20.50(C2^2xC6)	480,1182
C₂₀.₅₁(C₂²xC₆) = C₄oD₄xC₃₀	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240		C20.51(C2^2xC6)	480,1183
C₂₀.₅₂(C₂²xC₆) = C₁₅x2₊¹⁺⁴	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	120	4	C20.52(C2^2xC6)	480,1184
C₂₀.₅₃(C₂²xC₆) = C₁₅x2_-¹⁺⁴	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂₀	240	4	C20.53(C2^2xC6)	480,1185
C₂₀.₅₄(C₂²xC₆) = M₄(2)xC₃₀	central extension (φ=1)	240		C20.54(C2^2xC6)	480,935
C₂₀.₅₅(C₂²xC₆) = C₁₅xC₈oD₄	central extension (φ=1)	240	2	C20.55(C2^2xC6)	480,936

Extensions 1→N→G→Q→1 with N=C20 and Q=C22xC6

Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂²xC₆