Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂xC₆

Direct product G=NxQ with N=C₂₀ and Q=C₂xC₆

		d	ρ	Label	ID
C₂²xC₆₀		240		C2^2xC60	240,185

Semidirect products G=N:Q with N=C₂₀ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀:(C₂xC₆) = C₃xD₄xD₅	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂₀	60	4	C20:(C2xC6)	240,159
C₂₀:₂(C₂xC₆) = C₆xD₂₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120		C20:2(C2xC6)	240,157
C₂₀:₃(C₂xC₆) = D₅xC₂xC₁₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120		C20:3(C2xC6)	240,156
C₂₀:₄(C₂xC₆) = D₄xC₃₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120		C20:4(C2xC6)	240,186

Non-split extensions G=N.Q with N=C₂₀ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁(C₂xC₆) = C₃xD₄:D₅	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂₀	120	4	C20.1(C2xC6)	240,44
C₂₀.₂(C₂xC₆) = C₃xD₄.D₅	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂₀	120	4	C20.2(C2xC6)	240,45
C₂₀.₃(C₂xC₆) = C₃xQ₈:D₅	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂₀	120	4	C20.3(C2xC6)	240,46
C₂₀.₄(C₂xC₆) = C₃xC₅:Q₁₆	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂₀	240	4	C20.4(C2xC6)	240,47
C₂₀.₅(C₂xC₆) = C₃xD₄:₂D₅	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂₀	120	4	C20.5(C2xC6)	240,160
C₂₀.₆(C₂xC₆) = C₃xQ₈xD₅	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂₀	120	4	C20.6(C2xC6)	240,161
C₂₀.₇(C₂xC₆) = C₃xQ₈:₂D₅	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₂₀	120	4	C20.7(C2xC6)	240,162
C₂₀.₈(C₂xC₆) = C₃xC₄₀:C₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.8(C2xC6)	240,35
C₂₀.₉(C₂xC₆) = C₃xD₄₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.9(C2xC6)	240,36
C₂₀.₁₀(C₂xC₆) = C₃xDic₂₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	240	2	C20.10(C2xC6)	240,37
C₂₀.₁₁(C₂xC₆) = C₆xDic₁₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	240		C20.11(C2xC6)	240,155
C₂₀.₁₂(C₂xC₆) = C₃xC₄oD₂₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.12(C2xC6)	240,158
C₂₀.₁₃(C₂xC₆) = D₅xC₂₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.13(C2xC6)	240,33
C₂₀.₁₄(C₂xC₆) = C₃xC₈:D₅	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.14(C2xC6)	240,34
C₂₀.₁₅(C₂xC₆) = C₆xC₅:₂C₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	240		C20.15(C2xC6)	240,38
C₂₀.₁₆(C₂xC₆) = C₃xC₄.Dic₅	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.16(C2xC6)	240,39
C₂₀.₁₇(C₂xC₆) = C₁₅xD₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.17(C2xC6)	240,86
C₂₀.₁₈(C₂xC₆) = C₁₅xSD₁₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.18(C2xC6)	240,87
C₂₀.₁₉(C₂xC₆) = C₁₅xQ₁₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	240	2	C20.19(C2xC6)	240,88
C₂₀.₂₀(C₂xC₆) = Q₈xC₃₀	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	240		C20.20(C2xC6)	240,187
C₂₀.₂₁(C₂xC₆) = C₁₅xC₄oD₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.21(C2xC6)	240,188
C₂₀.₂₂(C₂xC₆) = C₁₅xM₄(2)	central extension (φ=1)	120	2	C20.22(C2xC6)	240,85

Extensions 1→N→G→Q→1 with N=C20 and Q=C2xC6

Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂xC₆