Extensions 1→N→G→Q→1 with N=C5×D4 and Q=D4

Direct product G=N×Q with N=C5×D4 and Q=D4
dρLabelID
C5×D4280C5xD4^2320,1547

Semidirect products G=N:Q with N=C5×D4 and Q=D4
extensionφ:Q→Out NdρLabelID
(C5×D4)⋊1D4 = D4⋊D20φ: D4/C2C22 ⊆ Out C5×D480(C5xD4):1D4320,400
(C5×D4)⋊2D4 = D43D20φ: D4/C2C22 ⊆ Out C5×D4160(C5xD4):2D4320,408
(C5×D4)⋊3D4 = D44D20φ: D4/C2C22 ⊆ Out C5×D4404+(C5xD4):3D4320,449
(C5×D4)⋊4D4 = Dic5⋊D8φ: D4/C2C22 ⊆ Out C5×D4160(C5xD4):4D4320,777
(C5×D4)⋊5D4 = D20⋊D4φ: D4/C2C22 ⊆ Out C5×D480(C5xD4):5D4320,783
(C5×D4)⋊6D4 = Dic10⋊D4φ: D4/C2C22 ⊆ Out C5×D4160(C5xD4):6D4320,785
(C5×D4)⋊7D4 = D2018D4φ: D4/C2C22 ⊆ Out C5×D4408+(C5xD4):7D4320,825
(C5×D4)⋊8D4 = C207D8φ: D4/C4C2 ⊆ Out C5×D4160(C5xD4):8D4320,642
(C5×D4)⋊9D4 = D4×D20φ: D4/C4C2 ⊆ Out C5×D480(C5xD4):9D4320,1221
(C5×D4)⋊10D4 = D45D20φ: D4/C4C2 ⊆ Out C5×D480(C5xD4):10D4320,1226
(C5×D4)⋊11D4 = D46D20φ: D4/C4C2 ⊆ Out C5×D4160(C5xD4):11D4320,1227
(C5×D4)⋊12D4 = C5×C4⋊D8φ: D4/C4C2 ⊆ Out C5×D4160(C5xD4):12D4320,960
(C5×D4)⋊13D4 = (C2×C10)⋊8D8φ: D4/C22C2 ⊆ Out C5×D480(C5xD4):13D4320,844
(C5×D4)⋊14D4 = (C5×D4)⋊14D4φ: D4/C22C2 ⊆ Out C5×D4160(C5xD4):14D4320,865
(C5×D4)⋊15D4 = 2+ 1+4⋊D5φ: D4/C22C2 ⊆ Out C5×D4408+(C5xD4):15D4320,868
(C5×D4)⋊16D4 = D4×C5⋊D4φ: D4/C22C2 ⊆ Out C5×D480(C5xD4):16D4320,1473
(C5×D4)⋊17D4 = C24.42D10φ: D4/C22C2 ⊆ Out C5×D480(C5xD4):17D4320,1478
(C5×D4)⋊18D4 = C10.1042- 1+4φ: D4/C22C2 ⊆ Out C5×D4160(C5xD4):18D4320,1496
(C5×D4)⋊19D4 = C10.1452+ 1+4φ: D4/C22C2 ⊆ Out C5×D480(C5xD4):19D4320,1501
(C5×D4)⋊20D4 = C5×C22⋊D8φ: D4/C22C2 ⊆ Out C5×D480(C5xD4):20D4320,948
(C5×D4)⋊21D4 = C5×D4⋊D4φ: D4/C22C2 ⊆ Out C5×D4160(C5xD4):21D4320,950
(C5×D4)⋊22D4 = C5×D44D4φ: D4/C22C2 ⊆ Out C5×D4404(C5xD4):22D4320,954
(C5×D4)⋊23D4 = C5×D45D4φ: trivial image80(C5xD4):23D4320,1548
(C5×D4)⋊24D4 = C5×D46D4φ: trivial image160(C5xD4):24D4320,1549

Non-split extensions G=N.Q with N=C5×D4 and Q=D4
extensionφ:Q→Out NdρLabelID
(C5×D4).1D4 = D20.8D4φ: D4/C2C22 ⊆ Out C5×D480(C5xD4).1D4320,403
(C5×D4).2D4 = D4.D20φ: D4/C2C22 ⊆ Out C5×D4160(C5xD4).2D4320,410
(C5×D4).3D4 = M4(2)⋊D10φ: D4/C2C22 ⊆ Out C5×D4804(C5xD4).3D4320,452
(C5×D4).4D4 = D4.9D20φ: D4/C2C22 ⊆ Out C5×D4804-(C5xD4).4D4320,453
(C5×D4).5D4 = D4.10D20φ: D4/C2C22 ⊆ Out C5×D4804(C5xD4).5D4320,454
(C5×D4).6D4 = (C2×D8).D5φ: D4/C2C22 ⊆ Out C5×D4160(C5xD4).6D4320,780
(C5×D4).7D4 = Dic53SD16φ: D4/C2C22 ⊆ Out C5×D4160(C5xD4).7D4320,789
(C5×D4).8D4 = (C5×D4).D4φ: D4/C2C22 ⊆ Out C5×D4160(C5xD4).8D4320,792
(C5×D4).9D4 = D106SD16φ: D4/C2C22 ⊆ Out C5×D480(C5xD4).9D4320,796
(C5×D4).10D4 = Dic10.16D4φ: D4/C2C22 ⊆ Out C5×D4160(C5xD4).10D4320,800
(C5×D4).11D4 = M4(2).D10φ: D4/C2C22 ⊆ Out C5×D4808+(C5xD4).11D4320,826
(C5×D4).12D4 = M4(2).13D10φ: D4/C2C22 ⊆ Out C5×D4808-(C5xD4).12D4320,827
(C5×D4).13D4 = D20.38D4φ: D4/C2C22 ⊆ Out C5×D4808-(C5xD4).13D4320,828
(C5×D4).14D4 = D20.39D4φ: D4/C2C22 ⊆ Out C5×D4808+(C5xD4).14D4320,829
(C5×D4).15D4 = M4(2).15D10φ: D4/C2C22 ⊆ Out C5×D4808+(C5xD4).15D4320,830
(C5×D4).16D4 = M4(2).16D10φ: D4/C2C22 ⊆ Out C5×D41608-(C5xD4).16D4320,831
(C5×D4).17D4 = D20.40D4φ: D4/C2C22 ⊆ Out C5×D4808-(C5xD4).17D4320,832
(C5×D4).18D4 = D4.1D20φ: D4/C4C2 ⊆ Out C5×D4160(C5xD4).18D4320,643
(C5×D4).19D4 = D4.2D20φ: D4/C4C2 ⊆ Out C5×D4160(C5xD4).19D4320,646
(C5×D4).20D4 = D4.3D20φ: D4/C4C2 ⊆ Out C5×D4804(C5xD4).20D4320,768
(C5×D4).21D4 = D4.4D20φ: D4/C4C2 ⊆ Out C5×D4804+(C5xD4).21D4320,769
(C5×D4).22D4 = D4.5D20φ: D4/C4C2 ⊆ Out C5×D41604-(C5xD4).22D4320,770
(C5×D4).23D4 = D4.11D20φ: D4/C4C2 ⊆ Out C5×D4804(C5xD4).23D4320,1423
(C5×D4).24D4 = D4.12D20φ: D4/C4C2 ⊆ Out C5×D4804+(C5xD4).24D4320,1424
(C5×D4).25D4 = D4.13D20φ: D4/C4C2 ⊆ Out C5×D41604-(C5xD4).25D4320,1425
(C5×D4).26D4 = C5×D4.D4φ: D4/C4C2 ⊆ Out C5×D4160(C5xD4).26D4320,962
(C5×D4).27D4 = C5×D4.2D4φ: D4/C4C2 ⊆ Out C5×D4160(C5xD4).27D4320,964
(C5×D4).28D4 = C5×D4.3D4φ: D4/C4C2 ⊆ Out C5×D4804(C5xD4).28D4320,972
(C5×D4).29D4 = C5×D4.4D4φ: D4/C4C2 ⊆ Out C5×D4804(C5xD4).29D4320,973
(C5×D4).30D4 = C5×D4.5D4φ: D4/C4C2 ⊆ Out C5×D41604(C5xD4).30D4320,974
(C5×D4).31D4 = (C5×D4).31D4φ: D4/C22C2 ⊆ Out C5×D480(C5xD4).31D4320,845
(C5×D4).32D4 = (C5×D4).32D4φ: D4/C22C2 ⊆ Out C5×D4160(C5xD4).32D4320,866
(C5×D4).33D4 = 2+ 1+4.D5φ: D4/C22C2 ⊆ Out C5×D4808-(C5xD4).33D4320,869
(C5×D4).34D4 = 2- 1+42D5φ: D4/C22C2 ⊆ Out C5×D4808+(C5xD4).34D4320,872
(C5×D4).35D4 = 2- 1+4.2D5φ: D4/C22C2 ⊆ Out C5×D4808-(C5xD4).35D4320,873
(C5×D4).36D4 = D20.32C23φ: D4/C22C2 ⊆ Out C5×D4808+(C5xD4).36D4320,1507
(C5×D4).37D4 = D20.33C23φ: D4/C22C2 ⊆ Out C5×D4808-(C5xD4).37D4320,1508
(C5×D4).38D4 = D20.34C23φ: D4/C22C2 ⊆ Out C5×D4808+(C5xD4).38D4320,1509
(C5×D4).39D4 = D20.35C23φ: D4/C22C2 ⊆ Out C5×D41608-(C5xD4).39D4320,1510
(C5×D4).40D4 = C5×C22⋊SD16φ: D4/C22C2 ⊆ Out C5×D480(C5xD4).40D4320,951
(C5×D4).41D4 = C5×D4.7D4φ: D4/C22C2 ⊆ Out C5×D4160(C5xD4).41D4320,953
(C5×D4).42D4 = C5×D4.8D4φ: D4/C22C2 ⊆ Out C5×D4804(C5xD4).42D4320,955
(C5×D4).43D4 = C5×D4.9D4φ: D4/C22C2 ⊆ Out C5×D4804(C5xD4).43D4320,956
(C5×D4).44D4 = C5×D4.10D4φ: D4/C22C2 ⊆ Out C5×D4804(C5xD4).44D4320,957
(C5×D4).45D4 = C5×D4○D8φ: trivial image804(C5xD4).45D4320,1578
(C5×D4).46D4 = C5×D4○SD16φ: trivial image804(C5xD4).46D4320,1579
(C5×D4).47D4 = C5×Q8○D8φ: trivial image1604(C5xD4).47D4320,1580

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