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Extensions 1→N→G→Q→1 with N=C2×C28 and Q=Q8

Direct product G=N×Q with N=C2×C28 and Q=Q8
dρLabelID
Q8×C2×C28448Q8xC2xC28448,1299

Semidirect products G=N:Q with N=C2×C28 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C28)⋊1Q8 = (C2×Dic7)⋊Q8φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28):1Q8448,190
(C2×C28)⋊2Q8 = C2×C28⋊Q8φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28):2Q8448,950
(C2×C28)⋊3Q8 = C14.72+ 1+4φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28):3Q8448,953
(C2×C28)⋊4Q8 = C42.88D14φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28):4Q8448,970
(C2×C28)⋊5Q8 = C42.90D14φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28):5Q8448,972
(C2×C28)⋊6Q8 = (C2×C28)⋊Q8φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28):6Q8448,180
(C2×C28)⋊7Q8 = (C2×C4)⋊Dic14φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28):7Q8448,513
(C2×C28)⋊8Q8 = C7×C23.78C23φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28):8Q8448,803
(C2×C28)⋊9Q8 = C7×C23.41C23φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28):9Q8448,1327
(C2×C28)⋊10Q8 = (C2×C28)⋊10Q8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28):10Q8448,463
(C2×C28)⋊11Q8 = C7×C23.67C23φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28):11Q8448,799
(C2×C28)⋊12Q8 = C2×C28⋊2Q8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28):12Q8448,921
(C2×C28)⋊13Q8 = C42.274D14φ: Q8/C4 → C2 ⊆ Aut C2×C28224(C2xC28):13Q8448,923
(C2×C28)⋊14Q8 = C2×C4×Dic14φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28):14Q8448,920
(C2×C28)⋊15Q8 = C14×C4⋊Q8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28):15Q8448,1314
(C2×C28)⋊16Q8 = C7×C23.37C23φ: Q8/C4 → C2 ⊆ Aut C2×C28224(C2xC28):16Q8448,1316

Non-split extensions G=N.Q with N=C2×C28 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C28).1Q8 = C2.(C28⋊Q8)φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).1Q8448,191
(C2×C28).2Q8 = (C2×C4).Dic14φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).2Q8448,194
(C2×C28).3Q8 = C14.(C4⋊Q8)φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).3Q8448,195
(C2×C28).4Q8 = C28.C42φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).4Q8448,86
(C2×C28).5Q8 = C28.(C4⋊C4)φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).5Q8448,87
(C2×C28).6Q8 = C42⋊Dic7φ: Q8/C2 → C22 ⊆ Aut C2×C281124(C2xC28).6Q8448,88
(C2×C28).7Q8 = C28.2C42φ: Q8/C2 → C22 ⊆ Aut C2×C28112(C2xC28).7Q8448,89
(C2×C28).8Q8 = (C2×C28).Q8φ: Q8/C2 → C22 ⊆ Aut C2×C281124(C2xC28).8Q8448,90
(C2×C28).9Q8 = M4(2)⋊Dic7φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).9Q8448,111
(C2×C28).10Q8 = C28.3C42φ: Q8/C2 → C22 ⊆ Aut C2×C28112(C2xC28).10Q8448,112
(C2×C28).11Q8 = (C2×C56)⋊C4φ: Q8/C2 → C22 ⊆ Aut C2×C281124(C2xC28).11Q8448,113
(C2×C28).12Q8 = C23.9D28φ: Q8/C2 → C22 ⊆ Aut C2×C281124(C2xC28).12Q8448,114
(C2×C28).13Q8 = M4(2)⋊4Dic7φ: Q8/C2 → C22 ⊆ Aut C2×C281124(C2xC28).13Q8448,116
(C2×C28).14Q8 = C2×C28.Q8φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).14Q8448,496
(C2×C28).15Q8 = C2×C4.Dic14φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).15Q8448,497
(C2×C28).16Q8 = C4.Dic7⋊C4φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).16Q8448,498
(C2×C28).17Q8 = C28⋊(C4⋊C4)φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).17Q8448,507
(C2×C28).18Q8 = (C4×Dic7)⋊8C4φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).18Q8448,510
(C2×C28).19Q8 = (C4×Dic7)⋊9C4φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).19Q8448,511
(C2×C28).20Q8 = C4⋊(C4⋊Dic7)φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).20Q8448,519
(C2×C28).21Q8 = C28.(C2×Q8)φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).21Q8448,529
(C2×C28).22Q8 = C28.45(C4⋊C4)φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).22Q8448,532
(C2×C28).23Q8 = C42.43D14φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).23Q8448,533
(C2×C28).24Q8 = Dic7⋊4M4(2)φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).24Q8448,652
(C2×C28).25Q8 = C28.439(C2×D4)φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).25Q8448,653
(C2×C28).26Q8 = C23.47D28φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).26Q8448,655
(C2×C28).27Q8 = C2×C28.53D4φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).27Q8448,657
(C2×C28).28Q8 = C23.Dic14φ: Q8/C2 → C22 ⊆ Aut C2×C281124(C2xC28).28Q8448,658
(C2×C28).29Q8 = M4(2).Dic7φ: Q8/C2 → C22 ⊆ Aut C2×C281124(C2xC28).29Q8448,659
(C2×C28).30Q8 = C2×C28.3Q8φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).30Q8448,952
(C2×C28).31Q8 = C28.53D8φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).31Q8448,36
(C2×C28).32Q8 = C28.39SD16φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).32Q8448,37
(C2×C28).33Q8 = C14.(C4×Q8)φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).33Q8448,181
(C2×C28).34Q8 = C4⋊Dic7⋊8C4φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).34Q8448,188
(C2×C28).35Q8 = C14.(C4×D4)φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).35Q8448,189
(C2×C28).36Q8 = C7×C4.9C42φ: Q8/C2 → C22 ⊆ Aut C2×C281124(C2xC28).36Q8448,141
(C2×C28).37Q8 = C7×C22.C42φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).37Q8448,147
(C2×C28).38Q8 = C7×M4(2)⋊4C4φ: Q8/C2 → C22 ⊆ Aut C2×C281124(C2xC28).38Q8448,148
(C2×C28).39Q8 = (C2×C28).54D4φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).39Q8448,518
(C2×C28).40Q8 = (C2×C28).55D4φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).40Q8448,520
(C2×C28).41Q8 = C7×C23.81C23φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).41Q8448,806
(C2×C28).42Q8 = C7×C23.83C23φ: Q8/C2 → C22 ⊆ Aut C2×C28448(C2xC28).42Q8448,808
(C2×C28).43Q8 = C7×M4(2)⋊C4φ: Q8/C2 → C22 ⊆ Aut C2×C28224(C2xC28).43Q8448,836
(C2×C28).44Q8 = C7×M4(2).C4φ: Q8/C2 → C22 ⊆ Aut C2×C281124(C2xC28).44Q8448,838
(C2×C28).45Q8 = C56⋊2C8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).45Q8448,14
(C2×C28).46Q8 = C56⋊1C8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).46Q8448,15
(C2×C28).47Q8 = C7×C8⋊2C8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).47Q8448,138
(C2×C28).48Q8 = C7×C8⋊1C8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).48Q8448,139
(C2×C28).49Q8 = (C2×C42).D7φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).49Q8448,467
(C2×C28).50Q8 = C7×C23.63C23φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).50Q8448,795
(C2×C28).51Q8 = C28.9C42φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).51Q8448,108
(C2×C28).52Q8 = C28⋊4(C4⋊C4)φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).52Q8448,462
(C2×C28).53Q8 = C42⋊8Dic7φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).53Q8448,469
(C2×C28).54Q8 = C42⋊9Dic7φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).54Q8448,470
(C2×C28).55Q8 = C2×C8⋊Dic7φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).55Q8448,638
(C2×C28).56Q8 = C2×C56⋊1C4φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).56Q8448,639
(C2×C28).57Q8 = C2×C28.6Q8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).57Q8448,922
(C2×C28).58Q8 = C28.8C42φ: Q8/C4 → C2 ⊆ Aut C2×C28112(C2xC28).58Q8448,80
(C2×C28).59Q8 = C28⋊7M4(2)φ: Q8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).59Q8448,458
(C2×C28).60Q8 = Dic7⋊C8⋊C2φ: Q8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).60Q8448,636
(C2×C28).61Q8 = C23.22D28φ: Q8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).61Q8448,640
(C2×C28).62Q8 = C2×C56.C4φ: Q8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).62Q8448,641
(C2×C28).63Q8 = (C2×C28)⋊3C8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).63Q8448,81
(C2×C28).64Q8 = (C2×C56)⋊5C4φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).64Q8448,107
(C2×C28).65Q8 = C2×C28⋊C8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).65Q8448,457
(C2×C28).66Q8 = C4×Dic7⋊C4φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).66Q8448,465
(C2×C28).67Q8 = C4×C4⋊Dic7φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).67Q8448,468
(C2×C28).68Q8 = C2×Dic7⋊C8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).68Q8448,633
(C2×C28).69Q8 = C7×C42⋊6C4φ: Q8/C4 → C2 ⊆ Aut C2×C28112(C2xC28).69Q8448,143
(C2×C28).70Q8 = C7×C22.4Q16φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).70Q8448,144
(C2×C28).71Q8 = C7×C42⋊8C4φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).71Q8448,790
(C2×C28).72Q8 = C7×C42⋊9C4φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).72Q8448,792
(C2×C28).73Q8 = C7×C23.65C23φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).73Q8448,797
(C2×C28).74Q8 = C7×C4⋊M4(2)φ: Q8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).74Q8448,831
(C2×C28).75Q8 = C7×C42.6C22φ: Q8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).75Q8448,832
(C2×C28).76Q8 = C14×C4.Q8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).76Q8448,833
(C2×C28).77Q8 = C14×C2.D8φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).77Q8448,834
(C2×C28).78Q8 = C7×C23.25D4φ: Q8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).78Q8448,835
(C2×C28).79Q8 = C14×C8.C4φ: Q8/C4 → C2 ⊆ Aut C2×C28224(C2xC28).79Q8448,837
(C2×C28).80Q8 = C14×C42.C2φ: Q8/C4 → C2 ⊆ Aut C2×C28448(C2xC28).80Q8448,1310
(C2×C28).81Q8 = C7×C22.7C42central extension (φ=1)448(C2xC28).81Q8448,140
(C2×C28).82Q8 = C4⋊C4×C28central extension (φ=1)448(C2xC28).82Q8448,786
(C2×C28).83Q8 = C14×C4⋊C8central extension (φ=1)448(C2xC28).83Q8448,830

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