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Extensions 1→N→G→Q→1 with N=C2×D20 and Q=C4

Direct product G=N×Q with N=C2×D20 and Q=C4
dρLabelID
C2×C4×D20160C2xC4xD20320,1145

Semidirect products G=N:Q with N=C2×D20 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×D20)⋊1C4 = (C2×D20)⋊C4φ: C4/C1 → C4 ⊆ Out C2×D2080(C2xD20):1C4320,9
(C2×D20)⋊2C4 = C22.2D40φ: C4/C1 → C4 ⊆ Out C2×D2080(C2xD20):2C4320,28
(C2×D20)⋊3C4 = C42⋊F5φ: C4/C1 → C4 ⊆ Out C2×D20404+(C2xD20):3C4320,191
(C2×D20)⋊4C4 = C23.2D20φ: C4/C1 → C4 ⊆ Out C2×D20408+(C2xD20):4C4320,32
(C2×D20)⋊5C4 = D10.1D8φ: C4/C1 → C4 ⊆ Out C2×D2080(C2xD20):5C4320,206
(C2×D20)⋊6C4 = D5×C23⋊C4φ: C4/C1 → C4 ⊆ Out C2×D20408+(C2xD20):6C4320,370
(C2×D20)⋊7C4 = (C2×F5)⋊D4φ: C4/C1 → C4 ⊆ Out C2×D2040(C2xD20):7C4320,1117
(C2×D20)⋊8C4 = C2×D20⋊C4φ: C4/C1 → C4 ⊆ Out C2×D2080(C2xD20):8C4320,1104
(C2×D20)⋊9C4 = (D4×C10)⋊C4φ: C4/C1 → C4 ⊆ Out C2×D20408+(C2xD20):9C4320,1105
(C2×D20)⋊10C4 = C2.(D4×F5)φ: C4/C1 → C4 ⊆ Out C2×D2080(C2xD20):10C4320,1118
(C2×D20)⋊11C4 = C2×Q8⋊2F5φ: C4/C1 → C4 ⊆ Out C2×D2080(C2xD20):11C4320,1121
(C2×D20)⋊12C4 = (C2×Q8)⋊6F5φ: C4/C1 → C4 ⊆ Out C2×D20808+(C2xD20):12C4320,1122
(C2×D20)⋊13C4 = (C2×Q8)⋊7F5φ: C4/C1 → C4 ⊆ Out C2×D20808+(C2xD20):13C4320,1123
(C2×D20)⋊14C4 = C2×D4×F5φ: C4/C1 → C4 ⊆ Out C2×D2040(C2xD20):14C4320,1595
(C2×D20)⋊15C4 = D10.C24φ: C4/C1 → C4 ⊆ Out C2×D20408+(C2xD20):15C4320,1596
(C2×D20)⋊16C4 = (C2×C4)⋊9D20φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20):16C4320,292
(C2×D20)⋊17C4 = C2×D20⋊4C4φ: C4/C2 → C2 ⊆ Out C2×D2080(C2xD20):17C4320,554
(C2×D20)⋊18C4 = (C2×C4)⋊6D20φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20):18C4320,566
(C2×D20)⋊19C4 = C2×D20⋊5C4φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20):19C4320,739
(C2×D20)⋊20C4 = C2×D10.D4φ: C4/C2 → C2 ⊆ Out C2×D2080(C2xD20):20C4320,1082
(C2×D20)⋊21C4 = C2×D20⋊6C4φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20):21C4320,592
(C2×D20)⋊22C4 = (C2×D20)⋊22C4φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20):22C4320,615
(C2×D20)⋊23C4 = C4⋊C4⋊36D10φ: C4/C2 → C2 ⊆ Out C2×D2080(C2xD20):23C4320,628
(C2×D20)⋊24C4 = C42⋊4D10φ: C4/C2 → C2 ⊆ Out C2×D20804(C2xD20):24C4320,632
(C2×D20)⋊25C4 = (C2×D20)⋊25C4φ: C4/C2 → C2 ⊆ Out C2×D20804(C2xD20):25C4320,633
(C2×D20)⋊26C4 = C23.48D20φ: C4/C2 → C2 ⊆ Out C2×D2080(C2xD20):26C4320,758
(C2×D20)⋊27C4 = C2×D20⋊7C4φ: C4/C2 → C2 ⊆ Out C2×D2080(C2xD20):27C4320,765
(C2×D20)⋊28C4 = C23.20D20φ: C4/C2 → C2 ⊆ Out C2×D20804(C2xD20):28C4320,766
(C2×D20)⋊29C4 = C2×D20⋊8C4φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20):29C4320,1175
(C2×D20)⋊30C4 = C42⋊7D10φ: C4/C2 → C2 ⊆ Out C2×D2080(C2xD20):30C4320,1193

Non-split extensions G=N.Q with N=C2×D20 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×D20).1C4 = C42.D10φ: C4/C1 → C4 ⊆ Out C2×D20160(C2xD20).1C4320,22
(C2×D20).2C4 = C4.D40φ: C4/C1 → C4 ⊆ Out C2×D20160(C2xD20).2C4320,43
(C2×D20).3C4 = C42.2F5φ: C4/C1 → C4 ⊆ Out C2×D20804(C2xD20).3C4320,194
(C2×D20).4C4 = (C2×C4).D20φ: C4/C1 → C4 ⊆ Out C2×D20808+(C2xD20).4C4320,35
(C2×D20).5C4 = Dic5.SD16φ: C4/C1 → C4 ⊆ Out C2×D20160(C2xD20).5C4320,263
(C2×D20).6C4 = (C2×Q8).F5φ: C4/C1 → C4 ⊆ Out C2×D20160(C2xD20).6C4320,265
(C2×D20).7C4 = M4(2).21D10φ: C4/C1 → C4 ⊆ Out C2×D20808+(C2xD20).7C4320,378
(C2×D20).8C4 = D10⋊2M4(2)φ: C4/C1 → C4 ⊆ Out C2×D20160(C2xD20).8C4320,1042
(C2×D20).9C4 = (C2×Q8).5F5φ: C4/C1 → C4 ⊆ Out C2×D20160(C2xD20).9C4320,1125
(C2×D20).10C4 = D20⋊C8φ: C4/C1 → C4 ⊆ Out C2×D20160(C2xD20).10C4320,209
(C2×D20).11C4 = D20⋊2C8φ: C4/C1 → C4 ⊆ Out C2×D20160(C2xD20).11C4320,1040
(C2×D20).12C4 = C20⋊M4(2)φ: C4/C1 → C4 ⊆ Out C2×D20160(C2xD20).12C4320,1043
(C2×D20).13C4 = D5⋊(C4.D4)φ: C4/C1 → C4 ⊆ Out C2×D20408+(C2xD20).13C4320,1116
(C2×D20).14C4 = C2×Q8.F5φ: C4/C1 → C4 ⊆ Out C2×D20160(C2xD20).14C4320,1597
(C2×D20).15C4 = Dic5.20C24φ: C4/C1 → C4 ⊆ Out C2×D20808+(C2xD20).15C4320,1598
(C2×D20).16C4 = D20⋊3C8φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).16C4320,17
(C2×D20).17C4 = C8⋊6D20φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).17C4320,315
(C2×D20).18C4 = C8⋊9D20φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).18C4320,333
(C2×D20).19C4 = C22⋊C8⋊D5φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).19C4320,354
(C2×D20).20C4 = D10⋊5M4(2)φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).20C4320,463
(C2×D20).21C4 = (C22×C8)⋊D5φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).21C4320,737
(C2×D20).22C4 = (C4×D5).D4φ: C4/C2 → C2 ⊆ Out C2×D20804(C2xD20).22C4320,1099
(C2×D20).23C4 = D20⋊4C8φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).23C4320,41
(C2×D20).24C4 = D20⋊5C8φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).24C4320,461
(C2×D20).25C4 = C20⋊6M4(2)φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).25C4320,465
(C2×D20).26C4 = C4.89(C2×D20)φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).26C4320,756
(C2×D20).27C4 = C2×C20.46D4φ: C4/C2 → C2 ⊆ Out C2×D2080(C2xD20).27C4320,757
(C2×D20).28C4 = C2×D20.2C4φ: C4/C2 → C2 ⊆ Out C2×D20160(C2xD20).28C4320,1416
(C2×D20).29C4 = C40.47C23φ: C4/C2 → C2 ⊆ Out C2×D20804(C2xD20).29C4320,1417
(C2×D20).30C4 = C8×D20φ: trivial image160(C2xD20).30C4320,313
(C2×D20).31C4 = C2×D20.3C4φ: trivial image160(C2xD20).31C4320,1410

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