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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=D20

Direct product G=N×Q with N=C2×C6 and Q=D20
dρLabelID
C2×C6×D20240C2xC6xD20480,1137

Semidirect products G=N:Q with N=C2×C6 and Q=D20
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1D20 = (C2×C6)⋊D20φ: D20/C10 → C22 ⊆ Aut C2×C6240(C2xC6):1D20480,645
(C2×C6)⋊2D20 = D30⋊18D4φ: D20/C10 → C22 ⊆ Aut C2×C6120(C2xC6):2D20480,648
(C2×C6)⋊3D20 = D30⋊16D4φ: D20/C10 → C22 ⊆ Aut C2×C6120(C2xC6):3D20480,847
(C2×C6)⋊4D20 = C3×C20⋊7D4φ: D20/C20 → C2 ⊆ Aut C2×C6240(C2xC6):4D20480,723
(C2×C6)⋊5D20 = C60⋊29D4φ: D20/C20 → C2 ⊆ Aut C2×C6240(C2xC6):5D20480,895
(C2×C6)⋊6D20 = C22×D60φ: D20/C20 → C2 ⊆ Aut C2×C6240(C2xC6):6D20480,1167
(C2×C6)⋊7D20 = C3×C22⋊D20φ: D20/D10 → C2 ⊆ Aut C2×C6120(C2xC6):7D20480,675
(C2×C6)⋊8D20 = (C2×C6)⋊8D20φ: D20/D10 → C2 ⊆ Aut C2×C6120(C2xC6):8D20480,640
(C2×C6)⋊9D20 = C22×C3⋊D20φ: D20/D10 → C2 ⊆ Aut C2×C6240(C2xC6):9D20480,1119

Non-split extensions G=N.Q with N=C2×C6 and Q=D20
extensionφ:Q→Aut NdρLabelID
(C2×C6).1D20 = C60.96D4φ: D20/C10 → C22 ⊆ Aut C2×C61204(C2xC6).1D20480,52
(C2×C6).2D20 = (C2×C6).D20φ: D20/C10 → C22 ⊆ Aut C2×C61204(C2xC6).2D20480,71
(C2×C6).3D20 = C23.6D30φ: D20/C10 → C22 ⊆ Aut C2×C61204(C2xC6).3D20480,166
(C2×C6).4D20 = D60⋊10C4φ: D20/C10 → C22 ⊆ Aut C2×C61204(C2xC6).4D20480,185
(C2×C6).5D20 = D20⋊19D6φ: D20/C10 → C22 ⊆ Aut C2×C61204+(C2xC6).5D20480,377
(C2×C6).6D20 = D20.31D6φ: D20/C10 → C22 ⊆ Aut C2×C62404(C2xC6).6D20480,387
(C2×C6).7D20 = C60.63D4φ: D20/C10 → C22 ⊆ Aut C2×C62404-(C2xC6).7D20480,389
(C2×C6).8D20 = C6.(C2×D20)φ: D20/C10 → C22 ⊆ Aut C2×C6240(C2xC6).8D20480,613
(C2×C6).9D20 = C22.D60φ: D20/C10 → C22 ⊆ Aut C2×C6240(C2xC6).9D20480,851
(C2×C6).10D20 = C8⋊D30φ: D20/C10 → C22 ⊆ Aut C2×C61204+(C2xC6).10D20480,873
(C2×C6).11D20 = C8.D30φ: D20/C10 → C22 ⊆ Aut C2×C62404-(C2xC6).11D20480,874
(C2×C6).12D20 = C3×D40⋊7C2φ: D20/C20 → C2 ⊆ Aut C2×C62402(C2xC6).12D20480,697
(C2×C6).13D20 = Dic30⋊8C4φ: D20/C20 → C2 ⊆ Aut C2×C6480(C2xC6).13D20480,176
(C2×C6).14D20 = C120⋊10C4φ: D20/C20 → C2 ⊆ Aut C2×C6480(C2xC6).14D20480,177
(C2×C6).15D20 = C120⋊9C4φ: D20/C20 → C2 ⊆ Aut C2×C6480(C2xC6).15D20480,178
(C2×C6).16D20 = D60⋊8C4φ: D20/C20 → C2 ⊆ Aut C2×C6240(C2xC6).16D20480,181
(C2×C6).17D20 = C30.29C42φ: D20/C20 → C2 ⊆ Aut C2×C6480(C2xC6).17D20480,191
(C2×C6).18D20 = C2×C24⋊D5φ: D20/C20 → C2 ⊆ Aut C2×C6240(C2xC6).18D20480,867
(C2×C6).19D20 = C2×D120φ: D20/C20 → C2 ⊆ Aut C2×C6240(C2xC6).19D20480,868
(C2×C6).20D20 = C40.69D6φ: D20/C20 → C2 ⊆ Aut C2×C62402(C2xC6).20D20480,869
(C2×C6).21D20 = C2×Dic60φ: D20/C20 → C2 ⊆ Aut C2×C6480(C2xC6).21D20480,870
(C2×C6).22D20 = C2×C60⋊5C4φ: D20/C20 → C2 ⊆ Aut C2×C6480(C2xC6).22D20480,890
(C2×C6).23D20 = C2×D30⋊3C4φ: D20/C20 → C2 ⊆ Aut C2×C6240(C2xC6).23D20480,892
(C2×C6).24D20 = C3×C23.1D10φ: D20/D10 → C2 ⊆ Aut C2×C61204(C2xC6).24D20480,84
(C2×C6).25D20 = C3×D20⋊7C4φ: D20/D10 → C2 ⊆ Aut C2×C61204(C2xC6).25D20480,103
(C2×C6).26D20 = C3×C22.D20φ: D20/D10 → C2 ⊆ Aut C2×C6240(C2xC6).26D20480,679
(C2×C6).27D20 = C3×C8⋊D10φ: D20/D10 → C2 ⊆ Aut C2×C61204(C2xC6).27D20480,701
(C2×C6).28D20 = C3×C8.D10φ: D20/D10 → C2 ⊆ Aut C2×C62404(C2xC6).28D20480,702
(C2×C6).29D20 = C6.D40φ: D20/D10 → C2 ⊆ Aut C2×C6240(C2xC6).29D20480,41
(C2×C6).30D20 = D60⋊12C4φ: D20/D10 → C2 ⊆ Aut C2×C6240(C2xC6).30D20480,44
(C2×C6).31D20 = C6.Dic20φ: D20/D10 → C2 ⊆ Aut C2×C6480(C2xC6).31D20480,47
(C2×C6).32D20 = Dic30⋊12C4φ: D20/D10 → C2 ⊆ Aut C2×C6480(C2xC6).32D20480,50
(C2×C6).33D20 = D60⋊16C4φ: D20/D10 → C2 ⊆ Aut C2×C61204(C2xC6).33D20480,57
(C2×C6).34D20 = C60.Q8φ: D20/D10 → C2 ⊆ Aut C2×C6480(C2xC6).34D20480,63
(C2×C6).35D20 = C60.5Q8φ: D20/D10 → C2 ⊆ Aut C2×C6480(C2xC6).35D20480,66
(C2×C6).36D20 = C30.24C42φ: D20/D10 → C2 ⊆ Aut C2×C6480(C2xC6).36D20480,70
(C2×C6).37D20 = C15⋊9(C23⋊C4)φ: D20/D10 → C2 ⊆ Aut C2×C61204(C2xC6).37D20480,73
(C2×C6).38D20 = C2×C3⋊D40φ: D20/D10 → C2 ⊆ Aut C2×C6240(C2xC6).38D20480,376
(C2×C6).39D20 = C2×C6.D20φ: D20/D10 → C2 ⊆ Aut C2×C6240(C2xC6).39D20480,386
(C2×C6).40D20 = D60⋊30C22φ: D20/D10 → C2 ⊆ Aut C2×C61204(C2xC6).40D20480,388
(C2×C6).41D20 = C2×C15⋊SD16φ: D20/D10 → C2 ⊆ Aut C2×C6240(C2xC6).41D20480,390
(C2×C6).42D20 = C12.D20φ: D20/D10 → C2 ⊆ Aut C2×C62404(C2xC6).42D20480,391
(C2×C6).43D20 = C2×C3⋊Dic20φ: D20/D10 → C2 ⊆ Aut C2×C6480(C2xC6).43D20480,395
(C2×C6).44D20 = C2×D10⋊Dic3φ: D20/D10 → C2 ⊆ Aut C2×C6240(C2xC6).44D20480,611
(C2×C6).45D20 = C2×D30⋊4C4φ: D20/D10 → C2 ⊆ Aut C2×C6240(C2xC6).45D20480,616
(C2×C6).46D20 = C2×C6.Dic10φ: D20/D10 → C2 ⊆ Aut C2×C6480(C2xC6).46D20480,621
(C2×C6).47D20 = C6.D4⋊D5φ: D20/D10 → C2 ⊆ Aut C2×C6240(C2xC6).47D20480,622
(C2×C6).48D20 = C3×C20.44D4central extension (φ=1)480(C2xC6).48D20480,94
(C2×C6).49D20 = C3×C40⋊6C4central extension (φ=1)480(C2xC6).49D20480,95
(C2×C6).50D20 = C3×C40⋊5C4central extension (φ=1)480(C2xC6).50D20480,96
(C2×C6).51D20 = C3×D20⋊5C4central extension (φ=1)240(C2xC6).51D20480,99
(C2×C6).52D20 = C3×C10.10C42central extension (φ=1)480(C2xC6).52D20480,109
(C2×C6).53D20 = C6×C40⋊C2central extension (φ=1)240(C2xC6).53D20480,695
(C2×C6).54D20 = C6×D40central extension (φ=1)240(C2xC6).54D20480,696
(C2×C6).55D20 = C6×Dic20central extension (φ=1)480(C2xC6).55D20480,698
(C2×C6).56D20 = C6×C4⋊Dic5central extension (φ=1)480(C2xC6).56D20480,718
(C2×C6).57D20 = C6×D10⋊C4central extension (φ=1)240(C2xC6).57D20480,720

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