Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=D₂₀

Direct product G=NxQ with N=C₂xC₆ and Q=D₂₀

		d	ρ	Label	ID
C₂xC₆xD₂₀		240		C2xC6xD20	480,1137

Semidirect products G=N:Q with N=C₂xC₆ and Q=D₂₀

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₆):₁D₂₀ = (C₂xC₆):D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	240	(C2xC6):1D20	480,645
(C₂xC₆):₂D₂₀ = D₃₀:₁₈D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	120	(C2xC6):2D20	480,648
(C₂xC₆):₃D₂₀ = D₃₀:₁₆D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	120	(C2xC6):3D20	480,847
(C₂xC₆):₄D₂₀ = C₃xC₂₀:₇D₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	240	(C2xC6):4D20	480,723
(C₂xC₆):₅D₂₀ = C₆₀:₂₉D₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	240	(C2xC6):5D20	480,895
(C₂xC₆):₆D₂₀ = C₂²xD₆₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	240	(C2xC6):6D20	480,1167
(C₂xC₆):₇D₂₀ = C₃xC₂²:D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	120	(C2xC6):7D20	480,675
(C₂xC₆):₈D₂₀ = (C₂xC₆):₈D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	120	(C2xC6):8D20	480,640
(C₂xC₆):₉D₂₀ = C₂²xC₃:D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240	(C2xC6):9D20	480,1119

Non-split extensions G=N.Q with N=C₂xC₆ and Q=D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁D₂₀ = C₆₀.₉₆D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	120	4	(C2xC6).1D20	480,52
(C₂xC₆).₂D₂₀ = (C₂xC₆).D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	120	4	(C2xC6).2D20	480,71
(C₂xC₆).₃D₂₀ = C₂³.₆D₃₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	120	4	(C2xC6).3D20	480,166
(C₂xC₆).₄D₂₀ = D₆₀:₁₀C₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	120	4	(C2xC6).4D20	480,185
(C₂xC₆).₅D₂₀ = D₂₀:₁₉D₆	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	120	4+	(C2xC6).5D20	480,377
(C₂xC₆).₆D₂₀ = D₂₀.₃₁D₆	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	240	4	(C2xC6).6D20	480,387
(C₂xC₆).₇D₂₀ = C₆₀.₆₃D₄	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	240	4-	(C2xC6).7D20	480,389
(C₂xC₆).₈D₂₀ = C₆.(C₂xD₂₀)	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	240		(C2xC6).8D20	480,613
(C₂xC₆).₉D₂₀ = C₂².D₆₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	240		(C2xC6).9D20	480,851
(C₂xC₆).₁₀D₂₀ = C₈:D₃₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	120	4+	(C2xC6).10D20	480,873
(C₂xC₆).₁₁D₂₀ = C₈.D₃₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₂xC₆	240	4-	(C2xC6).11D20	480,874
(C₂xC₆).₁₂D₂₀ = C₃xD₄₀:₇C₂	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	240	2	(C2xC6).12D20	480,697
(C₂xC₆).₁₃D₂₀ = Dic₃₀:₈C₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).13D20	480,176
(C₂xC₆).₁₄D₂₀ = C₁₂₀:₁₀C₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).14D20	480,177
(C₂xC₆).₁₅D₂₀ = C₁₂₀:₉C₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).15D20	480,178
(C₂xC₆).₁₆D₂₀ = D₆₀:₈C₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).16D20	480,181
(C₂xC₆).₁₇D₂₀ = C₃₀.₂₉C₄²	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).17D20	480,191
(C₂xC₆).₁₈D₂₀ = C₂xC₂₄:D₅	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).18D20	480,867
(C₂xC₆).₁₉D₂₀ = C₂xD₁₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).19D20	480,868
(C₂xC₆).₂₀D₂₀ = C₄₀.₆₉D₆	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	240	2	(C2xC6).20D20	480,869
(C₂xC₆).₂₁D₂₀ = C₂xDic₆₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).21D20	480,870
(C₂xC₆).₂₂D₂₀ = C₂xC₆₀:₅C₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).22D20	480,890
(C₂xC₆).₂₃D₂₀ = C₂xD₃₀:₃C₄	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).23D20	480,892
(C₂xC₆).₂₄D₂₀ = C₃xC₂³.₁D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	120	4	(C2xC6).24D20	480,84
(C₂xC₆).₂₅D₂₀ = C₃xD₂₀:₇C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	120	4	(C2xC6).25D20	480,103
(C₂xC₆).₂₆D₂₀ = C₃xC₂².D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).26D20	480,679
(C₂xC₆).₂₇D₂₀ = C₃xC₈:D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	120	4	(C2xC6).27D20	480,701
(C₂xC₆).₂₈D₂₀ = C₃xC₈.D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240	4	(C2xC6).28D20	480,702
(C₂xC₆).₂₉D₂₀ = C₆.D₄₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).29D20	480,41
(C₂xC₆).₃₀D₂₀ = D₆₀:₁₂C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).30D20	480,44
(C₂xC₆).₃₁D₂₀ = C₆.Dic₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).31D20	480,47
(C₂xC₆).₃₂D₂₀ = Dic₃₀:₁₂C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).32D20	480,50
(C₂xC₆).₃₃D₂₀ = D₆₀:₁₆C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	120	4	(C2xC6).33D20	480,57
(C₂xC₆).₃₄D₂₀ = C₆₀.Q₈	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).34D20	480,63
(C₂xC₆).₃₅D₂₀ = C₆₀.₅Q₈	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).35D20	480,66
(C₂xC₆).₃₆D₂₀ = C₃₀.₂₄C₄²	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).36D20	480,70
(C₂xC₆).₃₇D₂₀ = C₁₅:₉(C₂³:C₄)	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	120	4	(C2xC6).37D20	480,73
(C₂xC₆).₃₈D₂₀ = C₂xC₃:D₄₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).38D20	480,376
(C₂xC₆).₃₉D₂₀ = C₂xC₆.D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).39D20	480,386
(C₂xC₆).₄₀D₂₀ = D₆₀:₃₀C₂²	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	120	4	(C2xC6).40D20	480,388
(C₂xC₆).₄₁D₂₀ = C₂xC₁₅:SD₁₆	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).41D20	480,390
(C₂xC₆).₄₂D₂₀ = C₁₂.D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240	4	(C2xC6).42D20	480,391
(C₂xC₆).₄₃D₂₀ = C₂xC₃:Dic₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).43D20	480,395
(C₂xC₆).₄₄D₂₀ = C₂xD₁₀:Dic₃	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).44D20	480,611
(C₂xC₆).₄₅D₂₀ = C₂xD₃₀:₄C₄	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).45D20	480,616
(C₂xC₆).₄₆D₂₀ = C₂xC₆.Dic₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).46D20	480,621
(C₂xC₆).₄₇D₂₀ = C₆.D₄:D₅	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).47D20	480,622
(C₂xC₆).₄₈D₂₀ = C₃xC₂₀.₄₄D₄	central extension (φ=1)	480		(C2xC6).48D20	480,94
(C₂xC₆).₄₉D₂₀ = C₃xC₄₀:₆C₄	central extension (φ=1)	480		(C2xC6).49D20	480,95
(C₂xC₆).₅₀D₂₀ = C₃xC₄₀:₅C₄	central extension (φ=1)	480		(C2xC6).50D20	480,96
(C₂xC₆).₅₁D₂₀ = C₃xD₂₀:₅C₄	central extension (φ=1)	240		(C2xC6).51D20	480,99
(C₂xC₆).₅₂D₂₀ = C₃xC₁₀.₁₀C₄²	central extension (φ=1)	480		(C2xC6).52D20	480,109
(C₂xC₆).₅₃D₂₀ = C₆xC₄₀:C₂	central extension (φ=1)	240		(C2xC6).53D20	480,695
(C₂xC₆).₅₄D₂₀ = C₆xD₄₀	central extension (φ=1)	240		(C2xC6).54D20	480,696
(C₂xC₆).₅₅D₂₀ = C₆xDic₂₀	central extension (φ=1)	480		(C2xC6).55D20	480,698
(C₂xC₆).₅₆D₂₀ = C₆xC₄:Dic₅	central extension (φ=1)	480		(C2xC6).56D20	480,718
(C₂xC₆).₅₇D₂₀ = C₆xD₁₀:C₄	central extension (φ=1)	240		(C2xC6).57D20	480,720

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=D20

Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=D₂₀