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Extensions 1→N→G→Q→1 with N=C2xC28 and Q=Q8

Direct product G=NxQ with N=C2xC28 and Q=Q8
dρLabelID
Q8xC2xC28448Q8xC2xC28448,1299

Semidirect products G=N:Q with N=C2xC28 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2xC28):1Q8 = (C2xDic7):Q8φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28):1Q8448,190
(C2xC28):2Q8 = C2xC28:Q8φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28):2Q8448,950
(C2xC28):3Q8 = C14.72+ 1+4φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28):3Q8448,953
(C2xC28):4Q8 = C42.88D14φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28):4Q8448,970
(C2xC28):5Q8 = C42.90D14φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28):5Q8448,972
(C2xC28):6Q8 = (C2xC28):Q8φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28):6Q8448,180
(C2xC28):7Q8 = (C2xC4):Dic14φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28):7Q8448,513
(C2xC28):8Q8 = C7xC23.78C23φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28):8Q8448,803
(C2xC28):9Q8 = C7xC23.41C23φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28):9Q8448,1327
(C2xC28):10Q8 = (C2xC28):10Q8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28):10Q8448,463
(C2xC28):11Q8 = C7xC23.67C23φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28):11Q8448,799
(C2xC28):12Q8 = C2xC28:2Q8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28):12Q8448,921
(C2xC28):13Q8 = C42.274D14φ: Q8/C4 → C2 ⊆ Aut C2xC28224(C2xC28):13Q8448,923
(C2xC28):14Q8 = C2xC4xDic14φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28):14Q8448,920
(C2xC28):15Q8 = C14xC4:Q8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28):15Q8448,1314
(C2xC28):16Q8 = C7xC23.37C23φ: Q8/C4 → C2 ⊆ Aut C2xC28224(C2xC28):16Q8448,1316

Non-split extensions G=N.Q with N=C2xC28 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2xC28).1Q8 = C2.(C28:Q8)φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).1Q8448,191
(C2xC28).2Q8 = (C2xC4).Dic14φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).2Q8448,194
(C2xC28).3Q8 = C14.(C4:Q8)φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).3Q8448,195
(C2xC28).4Q8 = C28.C42φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).4Q8448,86
(C2xC28).5Q8 = C28.(C4:C4)φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).5Q8448,87
(C2xC28).6Q8 = C42:Dic7φ: Q8/C2 → C22 ⊆ Aut C2xC281124(C2xC28).6Q8448,88
(C2xC28).7Q8 = C28.2C42φ: Q8/C2 → C22 ⊆ Aut C2xC28112(C2xC28).7Q8448,89
(C2xC28).8Q8 = (C2xC28).Q8φ: Q8/C2 → C22 ⊆ Aut C2xC281124(C2xC28).8Q8448,90
(C2xC28).9Q8 = M4(2):Dic7φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).9Q8448,111
(C2xC28).10Q8 = C28.3C42φ: Q8/C2 → C22 ⊆ Aut C2xC28112(C2xC28).10Q8448,112
(C2xC28).11Q8 = (C2xC56):C4φ: Q8/C2 → C22 ⊆ Aut C2xC281124(C2xC28).11Q8448,113
(C2xC28).12Q8 = C23.9D28φ: Q8/C2 → C22 ⊆ Aut C2xC281124(C2xC28).12Q8448,114
(C2xC28).13Q8 = M4(2):4Dic7φ: Q8/C2 → C22 ⊆ Aut C2xC281124(C2xC28).13Q8448,116
(C2xC28).14Q8 = C2xC28.Q8φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).14Q8448,496
(C2xC28).15Q8 = C2xC4.Dic14φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).15Q8448,497
(C2xC28).16Q8 = C4.Dic7:C4φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).16Q8448,498
(C2xC28).17Q8 = C28:(C4:C4)φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).17Q8448,507
(C2xC28).18Q8 = (C4xDic7):8C4φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).18Q8448,510
(C2xC28).19Q8 = (C4xDic7):9C4φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).19Q8448,511
(C2xC28).20Q8 = C4:(C4:Dic7)φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).20Q8448,519
(C2xC28).21Q8 = C28.(C2xQ8)φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).21Q8448,529
(C2xC28).22Q8 = C28.45(C4:C4)φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).22Q8448,532
(C2xC28).23Q8 = C42.43D14φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).23Q8448,533
(C2xC28).24Q8 = Dic7:4M4(2)φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).24Q8448,652
(C2xC28).25Q8 = C28.439(C2xD4)φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).25Q8448,653
(C2xC28).26Q8 = C23.47D28φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).26Q8448,655
(C2xC28).27Q8 = C2xC28.53D4φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).27Q8448,657
(C2xC28).28Q8 = C23.Dic14φ: Q8/C2 → C22 ⊆ Aut C2xC281124(C2xC28).28Q8448,658
(C2xC28).29Q8 = M4(2).Dic7φ: Q8/C2 → C22 ⊆ Aut C2xC281124(C2xC28).29Q8448,659
(C2xC28).30Q8 = C2xC28.3Q8φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).30Q8448,952
(C2xC28).31Q8 = C28.53D8φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).31Q8448,36
(C2xC28).32Q8 = C28.39SD16φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).32Q8448,37
(C2xC28).33Q8 = C14.(C4xQ8)φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).33Q8448,181
(C2xC28).34Q8 = C4:Dic7:8C4φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).34Q8448,188
(C2xC28).35Q8 = C14.(C4xD4)φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).35Q8448,189
(C2xC28).36Q8 = C7xC4.9C42φ: Q8/C2 → C22 ⊆ Aut C2xC281124(C2xC28).36Q8448,141
(C2xC28).37Q8 = C7xC22.C42φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).37Q8448,147
(C2xC28).38Q8 = C7xM4(2):4C4φ: Q8/C2 → C22 ⊆ Aut C2xC281124(C2xC28).38Q8448,148
(C2xC28).39Q8 = (C2xC28).54D4φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).39Q8448,518
(C2xC28).40Q8 = (C2xC28).55D4φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).40Q8448,520
(C2xC28).41Q8 = C7xC23.81C23φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).41Q8448,806
(C2xC28).42Q8 = C7xC23.83C23φ: Q8/C2 → C22 ⊆ Aut C2xC28448(C2xC28).42Q8448,808
(C2xC28).43Q8 = C7xM4(2):C4φ: Q8/C2 → C22 ⊆ Aut C2xC28224(C2xC28).43Q8448,836
(C2xC28).44Q8 = C7xM4(2).C4φ: Q8/C2 → C22 ⊆ Aut C2xC281124(C2xC28).44Q8448,838
(C2xC28).45Q8 = C56:2C8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).45Q8448,14
(C2xC28).46Q8 = C56:1C8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).46Q8448,15
(C2xC28).47Q8 = C7xC8:2C8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).47Q8448,138
(C2xC28).48Q8 = C7xC8:1C8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).48Q8448,139
(C2xC28).49Q8 = (C2xC42).D7φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).49Q8448,467
(C2xC28).50Q8 = C7xC23.63C23φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).50Q8448,795
(C2xC28).51Q8 = C28.9C42φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).51Q8448,108
(C2xC28).52Q8 = C28:4(C4:C4)φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).52Q8448,462
(C2xC28).53Q8 = C42:8Dic7φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).53Q8448,469
(C2xC28).54Q8 = C42:9Dic7φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).54Q8448,470
(C2xC28).55Q8 = C2xC8:Dic7φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).55Q8448,638
(C2xC28).56Q8 = C2xC56:1C4φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).56Q8448,639
(C2xC28).57Q8 = C2xC28.6Q8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).57Q8448,922
(C2xC28).58Q8 = C28.8C42φ: Q8/C4 → C2 ⊆ Aut C2xC28112(C2xC28).58Q8448,80
(C2xC28).59Q8 = C28:7M4(2)φ: Q8/C4 → C2 ⊆ Aut C2xC28224(C2xC28).59Q8448,458
(C2xC28).60Q8 = Dic7:C8:C2φ: Q8/C4 → C2 ⊆ Aut C2xC28224(C2xC28).60Q8448,636
(C2xC28).61Q8 = C23.22D28φ: Q8/C4 → C2 ⊆ Aut C2xC28224(C2xC28).61Q8448,640
(C2xC28).62Q8 = C2xC56.C4φ: Q8/C4 → C2 ⊆ Aut C2xC28224(C2xC28).62Q8448,641
(C2xC28).63Q8 = (C2xC28):3C8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).63Q8448,81
(C2xC28).64Q8 = (C2xC56):5C4φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).64Q8448,107
(C2xC28).65Q8 = C2xC28:C8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).65Q8448,457
(C2xC28).66Q8 = C4xDic7:C4φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).66Q8448,465
(C2xC28).67Q8 = C4xC4:Dic7φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).67Q8448,468
(C2xC28).68Q8 = C2xDic7:C8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).68Q8448,633
(C2xC28).69Q8 = C7xC42:6C4φ: Q8/C4 → C2 ⊆ Aut C2xC28112(C2xC28).69Q8448,143
(C2xC28).70Q8 = C7xC22.4Q16φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).70Q8448,144
(C2xC28).71Q8 = C7xC42:8C4φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).71Q8448,790
(C2xC28).72Q8 = C7xC42:9C4φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).72Q8448,792
(C2xC28).73Q8 = C7xC23.65C23φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).73Q8448,797
(C2xC28).74Q8 = C7xC4:M4(2)φ: Q8/C4 → C2 ⊆ Aut C2xC28224(C2xC28).74Q8448,831
(C2xC28).75Q8 = C7xC42.6C22φ: Q8/C4 → C2 ⊆ Aut C2xC28224(C2xC28).75Q8448,832
(C2xC28).76Q8 = C14xC4.Q8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).76Q8448,833
(C2xC28).77Q8 = C14xC2.D8φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).77Q8448,834
(C2xC28).78Q8 = C7xC23.25D4φ: Q8/C4 → C2 ⊆ Aut C2xC28224(C2xC28).78Q8448,835
(C2xC28).79Q8 = C14xC8.C4φ: Q8/C4 → C2 ⊆ Aut C2xC28224(C2xC28).79Q8448,837
(C2xC28).80Q8 = C14xC42.C2φ: Q8/C4 → C2 ⊆ Aut C2xC28448(C2xC28).80Q8448,1310
(C2xC28).81Q8 = C7xC22.7C42central extension (φ=1)448(C2xC28).81Q8448,140
(C2xC28).82Q8 = C4:C4xC28central extension (φ=1)448(C2xC28).82Q8448,786
(C2xC28).83Q8 = C14xC4:C8central extension (φ=1)448(C2xC28).83Q8448,830

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