# Extensions 1→N→G→Q→1 with N=C22×C20 and Q=C4

Direct product G=N×Q with N=C22×C20 and Q=C4
dρLabelID
C22×C4×C20320C2^2xC4xC20320,1513

Semidirect products G=N:Q with N=C22×C20 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C20)⋊1C4 = C24.D10φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):1C4320,84
(C22×C20)⋊2C4 = (C22×C20)⋊C4φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20):2C4320,97
(C22×C20)⋊3C4 = C5×C23.9D4φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):3C4320,147
(C22×C20)⋊4C4 = C5×C23.D4φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20):4C4320,157
(C22×C20)⋊5C4 = (C22×C4)⋊F5φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20):5C4320,254
(C22×C20)⋊6C4 = C22⋊F5⋊C4φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):6C4320,255
(C22×C20)⋊7C4 = C2×D10.D4φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):7C4320,1082
(C22×C20)⋊8C4 = (D4×C10)⋊22C4φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20):8C4320,867
(C22×C20)⋊9C4 = C23⋊F55C2φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20):9C4320,1083
(C22×C20)⋊10C4 = C2×D10.3Q8φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):10C4320,1100
(C22×C20)⋊11C4 = (C22×C4)⋊7F5φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):11C4320,1102
(C22×C20)⋊12C4 = D106(C4⋊C4)φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):12C4320,1103
(C22×C20)⋊13C4 = C22×C4⋊F5φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):13C4320,1591
(C22×C20)⋊14C4 = C2×D10.C23φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):14C4320,1592
(C22×C20)⋊15C4 = C4×C22⋊F5φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):15C4320,1101
(C22×C20)⋊16C4 = C22×C4×F5φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):16C4320,1590
(C22×C20)⋊17C4 = C2×C23⋊Dic5φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):17C4320,846
(C22×C20)⋊18C4 = C10×C23⋊C4φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20):18C4320,910
(C22×C20)⋊19C4 = C5×C23.C23φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20):19C4320,911
(C22×C20)⋊20C4 = C2×C10.10C42φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20):20C4320,835
(C22×C20)⋊21C4 = C24.63D10φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20):21C4320,838
(C22×C20)⋊22C4 = C10×C2.C42φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20):22C4320,876
(C22×C20)⋊23C4 = C22⋊C4×C20φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20):23C4320,878
(C22×C20)⋊24C4 = C5×C23.34D4φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20):24C4320,882
(C22×C20)⋊25C4 = C24.64D10φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20):25C4320,839
(C22×C20)⋊26C4 = C22×C4⋊Dic5φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20):26C4320,1457
(C22×C20)⋊27C4 = C2×C23.21D10φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20):27C4320,1458
(C22×C20)⋊28C4 = C4×C23.D5φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20):28C4320,836
(C22×C20)⋊29C4 = C22×C4×Dic5φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20):29C4320,1454
(C22×C20)⋊30C4 = C5×C23.7Q8φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20):30C4320,881
(C22×C20)⋊31C4 = C4⋊C4×C2×C10φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20):31C4320,1515
(C22×C20)⋊32C4 = C10×C42⋊C2φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20):32C4320,1516

Non-split extensions G=N.Q with N=C22×C20 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C20).1C4 = C24.Dic5φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20).1C4320,83
(C22×C20).2C4 = (C2×C20)⋊C8φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).2C4320,86
(C22×C20).3C4 = (C2×C20).Q8φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).3C4320,88
(C22×C20).4C4 = C5×C23⋊C8φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20).4C4320,128
(C22×C20).5C4 = C5×C22.M4(2)φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).5C4320,129
(C22×C20).6C4 = C5×C22.C42φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).6C4320,148
(C22×C20).7C4 = (C22×C4).F5φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).7C4320,252
(C22×C20).8C4 = C5⋊(C23⋊C8)φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20).8C4320,253
(C22×C20).9C4 = C22.F5⋊C4φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).9C4320,257
(C22×C20).10C4 = (C2×C20)⋊1C8φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).10C4320,251
(C22×C20).11C4 = C2×Dic5.D4φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).11C4320,1098
(C22×C20).12C4 = C40.D4φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20).12C4320,111
(C22×C20).13C4 = (D4×C10).29C4φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20).13C4320,864
(C22×C20).14C4 = C20.29M4(2)φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20).14C4320,250
(C22×C20).15C4 = (C4×D5).D4φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20).15C4320,1099
(C22×C20).16C4 = C10.(C4⋊C8)φ: C4/C1C4 ⊆ Aut C22×C20320(C2^2xC20).16C4320,256
(C22×C20).17C4 = C2×C10.C42φ: C4/C1C4 ⊆ Aut C22×C20320(C2^2xC20).17C4320,1087
(C22×C20).18C4 = C2×D10⋊C8φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).18C4320,1089
(C22×C20).19C4 = C2×Dic5⋊C8φ: C4/C1C4 ⊆ Aut C22×C20320(C2^2xC20).19C4320,1090
(C22×C20).20C4 = D109M4(2)φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20).20C4320,1093
(C22×C20).21C4 = Dic5.13M4(2)φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).21C4320,1095
(C22×C20).22C4 = C2×C20⋊C8φ: C4/C1C4 ⊆ Aut C22×C20320(C2^2xC20).22C4320,1085
(C22×C20).23C4 = D1010M4(2)φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20).23C4320,1094
(C22×C20).24C4 = C208M4(2)φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).24C4320,1096
(C22×C20).25C4 = C20.30M4(2)φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).25C4320,1097
(C22×C20).26C4 = C22×C4.F5φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).26C4320,1588
(C22×C20).27C4 = C2×C20.C8φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).27C4320,1081
(C22×C20).28C4 = Dic5.12M4(2)φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).28C4320,1086
(C22×C20).29C4 = C2×D5⋊M4(2)φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20).29C4320,1589
(C22×C20).30C4 = C10.6M5(2)φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).30C4320,249
(C22×C20).31C4 = C22×C5⋊C16φ: C4/C1C4 ⊆ Aut C22×C20320(C2^2xC20).31C4320,1080
(C22×C20).32C4 = C2×C4×C5⋊C8φ: C4/C1C4 ⊆ Aut C22×C20320(C2^2xC20).32C4320,1084
(C22×C20).33C4 = C4×C22.F5φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).33C4320,1088
(C22×C20).34C4 = D10.11M4(2)φ: C4/C1C4 ⊆ Aut C22×C2080(C2^2xC20).34C4320,1091
(C22×C20).35C4 = C20.34M4(2)φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).35C4320,1092
(C22×C20).36C4 = C22×D5⋊C8φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).36C4320,1587
(C22×C20).37C4 = C5×C23.C8φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20).37C4320,154
(C22×C20).38C4 = C2×C20.10D4φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).38C4320,853
(C22×C20).39C4 = C10×C4.10D4φ: C4/C1C4 ⊆ Aut C22×C20160(C2^2xC20).39C4320,913
(C22×C20).40C4 = C5×M4(2).8C22φ: C4/C1C4 ⊆ Aut C22×C20804(C2^2xC20).40C4320,914
(C22×C20).41C4 = (C2×C20)⋊8C8φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20).41C4320,82
(C22×C20).42C4 = C5×C22.7C42φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20).42C4320,141
(C22×C20).43C4 = C5×C22⋊C16φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).43C4320,153
(C22×C20).44C4 = C2×C42.D5φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20).44C4320,548
(C22×C20).45C4 = C10×C8⋊C4φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20).45C4320,904
(C22×C20).46C4 = M4(2)×C20φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).46C4320,905
(C22×C20).47C4 = C10×C22⋊C8φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).47C4320,907
(C22×C20).48C4 = C5×C24.4C4φ: C4/C2C2 ⊆ Aut C22×C2080(C2^2xC20).48C4320,908
(C22×C20).49C4 = C10×C4⋊C8φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20).49C4320,923
(C22×C20).50C4 = C2×C203C8φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20).50C4320,550
(C22×C20).51C4 = C2013M4(2)φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).51C4320,551
(C22×C20).52C4 = C42.7Dic5φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).52C4320,553
(C22×C20).53C4 = C24.4Dic5φ: C4/C2C2 ⊆ Aut C22×C2080(C2^2xC20).53C4320,834
(C22×C20).54C4 = C42.6Dic5φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).54C4320,552
(C22×C20).55C4 = C2×C20.4C8φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).55C4320,724
(C22×C20).56C4 = C22×C4.Dic5φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).56C4320,1453
(C22×C20).57C4 = C40.91D4φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).57C4320,107
(C22×C20).58C4 = C2×C4×C52C8φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20).58C4320,547
(C22×C20).59C4 = C4×C4.Dic5φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).59C4320,549
(C22×C20).60C4 = C22×C52C16φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20).60C4320,723
(C22×C20).61C4 = C2×C20.55D4φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).61C4320,833
(C22×C20).62C4 = C23×C52C8φ: C4/C2C2 ⊆ Aut C22×C20320(C2^2xC20).62C4320,1452
(C22×C20).63C4 = C5×C4⋊M4(2)φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).63C4320,924
(C22×C20).64C4 = C5×C42.12C4φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).64C4320,932
(C22×C20).65C4 = C5×C42.6C4φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).65C4320,933
(C22×C20).66C4 = C10×M5(2)φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).66C4320,1004
(C22×C20).67C4 = M4(2)×C2×C10φ: C4/C2C2 ⊆ Aut C22×C20160(C2^2xC20).67C4320,1568

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