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

Direct product G=NxQ with N=C2xC6 and Q=D20
dρLabelID
C2xC6xD20240C2xC6xD20480,1137

Semidirect products G=N:Q with N=C2xC6 and Q=D20
extensionφ:Q→Aut NdρLabelID
(C2xC6):1D20 = (C2xC6):D20φ: D20/C10C22 ⊆ Aut C2xC6240(C2xC6):1D20480,645
(C2xC6):2D20 = D30:18D4φ: D20/C10C22 ⊆ Aut C2xC6120(C2xC6):2D20480,648
(C2xC6):3D20 = D30:16D4φ: D20/C10C22 ⊆ Aut C2xC6120(C2xC6):3D20480,847
(C2xC6):4D20 = C3xC20:7D4φ: D20/C20C2 ⊆ Aut C2xC6240(C2xC6):4D20480,723
(C2xC6):5D20 = C60:29D4φ: D20/C20C2 ⊆ Aut C2xC6240(C2xC6):5D20480,895
(C2xC6):6D20 = C22xD60φ: D20/C20C2 ⊆ Aut C2xC6240(C2xC6):6D20480,1167
(C2xC6):7D20 = C3xC22:D20φ: D20/D10C2 ⊆ Aut C2xC6120(C2xC6):7D20480,675
(C2xC6):8D20 = (C2xC6):8D20φ: D20/D10C2 ⊆ Aut C2xC6120(C2xC6):8D20480,640
(C2xC6):9D20 = C22xC3:D20φ: D20/D10C2 ⊆ Aut C2xC6240(C2xC6):9D20480,1119

Non-split extensions G=N.Q with N=C2xC6 and Q=D20
extensionφ:Q→Aut NdρLabelID
(C2xC6).1D20 = C60.96D4φ: D20/C10C22 ⊆ Aut C2xC61204(C2xC6).1D20480,52
(C2xC6).2D20 = (C2xC6).D20φ: D20/C10C22 ⊆ Aut C2xC61204(C2xC6).2D20480,71
(C2xC6).3D20 = C23.6D30φ: D20/C10C22 ⊆ Aut C2xC61204(C2xC6).3D20480,166
(C2xC6).4D20 = D60:10C4φ: D20/C10C22 ⊆ Aut C2xC61204(C2xC6).4D20480,185
(C2xC6).5D20 = D20:19D6φ: D20/C10C22 ⊆ Aut C2xC61204+(C2xC6).5D20480,377
(C2xC6).6D20 = D20.31D6φ: D20/C10C22 ⊆ Aut C2xC62404(C2xC6).6D20480,387
(C2xC6).7D20 = C60.63D4φ: D20/C10C22 ⊆ Aut C2xC62404-(C2xC6).7D20480,389
(C2xC6).8D20 = C6.(C2xD20)φ: D20/C10C22 ⊆ Aut C2xC6240(C2xC6).8D20480,613
(C2xC6).9D20 = C22.D60φ: D20/C10C22 ⊆ Aut C2xC6240(C2xC6).9D20480,851
(C2xC6).10D20 = C8:D30φ: D20/C10C22 ⊆ Aut C2xC61204+(C2xC6).10D20480,873
(C2xC6).11D20 = C8.D30φ: D20/C10C22 ⊆ Aut C2xC62404-(C2xC6).11D20480,874
(C2xC6).12D20 = C3xD40:7C2φ: D20/C20C2 ⊆ Aut C2xC62402(C2xC6).12D20480,697
(C2xC6).13D20 = Dic30:8C4φ: D20/C20C2 ⊆ Aut C2xC6480(C2xC6).13D20480,176
(C2xC6).14D20 = C120:10C4φ: D20/C20C2 ⊆ Aut C2xC6480(C2xC6).14D20480,177
(C2xC6).15D20 = C120:9C4φ: D20/C20C2 ⊆ Aut C2xC6480(C2xC6).15D20480,178
(C2xC6).16D20 = D60:8C4φ: D20/C20C2 ⊆ Aut C2xC6240(C2xC6).16D20480,181
(C2xC6).17D20 = C30.29C42φ: D20/C20C2 ⊆ Aut C2xC6480(C2xC6).17D20480,191
(C2xC6).18D20 = C2xC24:D5φ: D20/C20C2 ⊆ Aut C2xC6240(C2xC6).18D20480,867
(C2xC6).19D20 = C2xD120φ: D20/C20C2 ⊆ Aut C2xC6240(C2xC6).19D20480,868
(C2xC6).20D20 = C40.69D6φ: D20/C20C2 ⊆ Aut C2xC62402(C2xC6).20D20480,869
(C2xC6).21D20 = C2xDic60φ: D20/C20C2 ⊆ Aut C2xC6480(C2xC6).21D20480,870
(C2xC6).22D20 = C2xC60:5C4φ: D20/C20C2 ⊆ Aut C2xC6480(C2xC6).22D20480,890
(C2xC6).23D20 = C2xD30:3C4φ: D20/C20C2 ⊆ Aut C2xC6240(C2xC6).23D20480,892
(C2xC6).24D20 = C3xC23.1D10φ: D20/D10C2 ⊆ Aut C2xC61204(C2xC6).24D20480,84
(C2xC6).25D20 = C3xD20:7C4φ: D20/D10C2 ⊆ Aut C2xC61204(C2xC6).25D20480,103
(C2xC6).26D20 = C3xC22.D20φ: D20/D10C2 ⊆ Aut C2xC6240(C2xC6).26D20480,679
(C2xC6).27D20 = C3xC8:D10φ: D20/D10C2 ⊆ Aut C2xC61204(C2xC6).27D20480,701
(C2xC6).28D20 = C3xC8.D10φ: D20/D10C2 ⊆ Aut C2xC62404(C2xC6).28D20480,702
(C2xC6).29D20 = C6.D40φ: D20/D10C2 ⊆ Aut C2xC6240(C2xC6).29D20480,41
(C2xC6).30D20 = D60:12C4φ: D20/D10C2 ⊆ Aut C2xC6240(C2xC6).30D20480,44
(C2xC6).31D20 = C6.Dic20φ: D20/D10C2 ⊆ Aut C2xC6480(C2xC6).31D20480,47
(C2xC6).32D20 = Dic30:12C4φ: D20/D10C2 ⊆ Aut C2xC6480(C2xC6).32D20480,50
(C2xC6).33D20 = D60:16C4φ: D20/D10C2 ⊆ Aut C2xC61204(C2xC6).33D20480,57
(C2xC6).34D20 = C60.Q8φ: D20/D10C2 ⊆ Aut C2xC6480(C2xC6).34D20480,63
(C2xC6).35D20 = C60.5Q8φ: D20/D10C2 ⊆ Aut C2xC6480(C2xC6).35D20480,66
(C2xC6).36D20 = C30.24C42φ: D20/D10C2 ⊆ Aut C2xC6480(C2xC6).36D20480,70
(C2xC6).37D20 = C15:9(C23:C4)φ: D20/D10C2 ⊆ Aut C2xC61204(C2xC6).37D20480,73
(C2xC6).38D20 = C2xC3:D40φ: D20/D10C2 ⊆ Aut C2xC6240(C2xC6).38D20480,376
(C2xC6).39D20 = C2xC6.D20φ: D20/D10C2 ⊆ Aut C2xC6240(C2xC6).39D20480,386
(C2xC6).40D20 = D60:30C22φ: D20/D10C2 ⊆ Aut C2xC61204(C2xC6).40D20480,388
(C2xC6).41D20 = C2xC15:SD16φ: D20/D10C2 ⊆ Aut C2xC6240(C2xC6).41D20480,390
(C2xC6).42D20 = C12.D20φ: D20/D10C2 ⊆ Aut C2xC62404(C2xC6).42D20480,391
(C2xC6).43D20 = C2xC3:Dic20φ: D20/D10C2 ⊆ Aut C2xC6480(C2xC6).43D20480,395
(C2xC6).44D20 = C2xD10:Dic3φ: D20/D10C2 ⊆ Aut C2xC6240(C2xC6).44D20480,611
(C2xC6).45D20 = C2xD30:4C4φ: D20/D10C2 ⊆ Aut C2xC6240(C2xC6).45D20480,616
(C2xC6).46D20 = C2xC6.Dic10φ: D20/D10C2 ⊆ Aut C2xC6480(C2xC6).46D20480,621
(C2xC6).47D20 = C6.D4:D5φ: D20/D10C2 ⊆ Aut C2xC6240(C2xC6).47D20480,622
(C2xC6).48D20 = C3xC20.44D4central extension (φ=1)480(C2xC6).48D20480,94
(C2xC6).49D20 = C3xC40:6C4central extension (φ=1)480(C2xC6).49D20480,95
(C2xC6).50D20 = C3xC40:5C4central extension (φ=1)480(C2xC6).50D20480,96
(C2xC6).51D20 = C3xD20:5C4central extension (φ=1)240(C2xC6).51D20480,99
(C2xC6).52D20 = C3xC10.10C42central extension (φ=1)480(C2xC6).52D20480,109
(C2xC6).53D20 = C6xC40:C2central extension (φ=1)240(C2xC6).53D20480,695
(C2xC6).54D20 = C6xD40central extension (φ=1)240(C2xC6).54D20480,696
(C2xC6).55D20 = C6xDic20central extension (φ=1)480(C2xC6).55D20480,698
(C2xC6).56D20 = C6xC4:Dic5central extension (φ=1)480(C2xC6).56D20480,718
(C2xC6).57D20 = C6xD10:C4central extension (φ=1)240(C2xC6).57D20480,720

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