Extensions 1→N→G→Q→1 with N=C2xC4:Dic7 and Q=C2

Direct product G=NxQ with N=C2xC4:Dic7 and Q=C2
dρLabelID
C22xC4:Dic7448C2^2xC4:Dic7448,1238

Semidirect products G=N:Q with N=C2xC4:Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC4:Dic7):1C2 = D14:C4:C4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):1C2448,202
(C2xC4:Dic7):2C2 = C2.(C4xD28)φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):2C2448,204
(C2xC4:Dic7):3C2 = (C2xC4).21D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):3C2448,208
(C2xC4:Dic7):4C2 = (C2xC28).33D4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):4C2448,211
(C2xC4:Dic7):5C2 = C23.38D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):5C2448,269
(C2xC4:Dic7):6C2 = C22.D56φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):6C2448,270
(C2xC4:Dic7):7C2 = (C2xC4):6D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):7C2448,473
(C2xC4:Dic7):8C2 = C24.6D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):8C2448,482
(C2xC4:Dic7):9C2 = C24.7D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):9C2448,483
(C2xC4:Dic7):10C2 = C24.47D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):10C2448,484
(C2xC4:Dic7):11C2 = C24.8D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):11C2448,485
(C2xC4:Dic7):12C2 = C24.10D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):12C2448,487
(C2xC4:Dic7):13C2 = C23.16D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):13C2448,495
(C2xC4:Dic7):14C2 = (C2xC4).45D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):14C2448,528
(C2xC4:Dic7):15C2 = C2xC2.D56φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):15C2448,646
(C2xC4:Dic7):16C2 = C23.27D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):16C2448,746
(C2xC4:Dic7):17C2 = C2xC22:Dic14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):17C2448,934
(C2xC4:Dic7):18C2 = C2xC23.D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):18C2448,935
(C2xC4:Dic7):19C2 = C2xD14.D4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):19C2448,941
(C2xC4:Dic7):20C2 = C2xC22.D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):20C2448,945
(C2xC4:Dic7):21C2 = C2xD14:2Q8φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):21C2448,962
(C2xC4:Dic7):22C2 = C2xC4:C4:D7φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):22C2448,965
(C2xC4:Dic7):23C2 = C42.105D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):23C2448,994
(C2xC4:Dic7):24C2 = D4:6Dic14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):24C2448,996
(C2xC4:Dic7):25C2 = D4:6D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):25C2448,1008
(C2xC4:Dic7):26C2 = C42.119D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):26C2448,1018
(C2xC4:Dic7):27C2 = C14.852- 1+4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):27C2448,1118
(C2xC4:Dic7):28C2 = C2xC28.48D4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):28C2448,1237
(C2xC4:Dic7):29C2 = C2xC28:7D4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):29C2448,1243
(C2xC4:Dic7):30C2 = C4:(D14:C4)φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):30C2448,521
(C2xC4:Dic7):31C2 = (C2xC14).D8φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):31C2448,567
(C2xC4:Dic7):32C2 = C4:D4.D7φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):32C2448,568
(C2xC4:Dic7):33C2 = C23.49D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):33C2448,667
(C2xC4:Dic7):34C2 = C2xD4:Dic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):34C2448,748
(C2xC4:Dic7):35C2 = C24.19D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):35C2448,755
(C2xC4:Dic7):36C2 = C4oD4:Dic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):36C2448,766
(C2xC4:Dic7):37C2 = C2xD7xC4:C4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):37C2448,954
(C2xC4:Dic7):38C2 = C2xC4:C4:7D7φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):38C2448,955
(C2xC4:Dic7):39C2 = C42.91D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):39C2448,976
(C2xC4:Dic7):40C2 = C14.732- 1+4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):40C2448,1064
(C2xC4:Dic7):41C2 = C14.1152+ 1+4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):41C2448,1071
(C2xC4:Dic7):42C2 = C14.1182+ 1+4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):42C2448,1088
(C2xC4:Dic7):43C2 = C14.772- 1+4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):43C2448,1095
(C2xC4:Dic7):44C2 = C2xD4xDic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):44C2448,1248
(C2xC4:Dic7):45C2 = C2xC28:2D4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):45C2448,1253
(C2xC4:Dic7):46C2 = C2xD14:3Q8φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):46C2448,1266
(C2xC4:Dic7):47C2 = C14.1062- 1+4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):47C2448,1280
(C2xC4:Dic7):48C2 = C14.1082- 1+4φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7):48C2448,1286
(C2xC4:Dic7):49C2 = C2xC4xD28φ: trivial image224(C2xC4:Dic7):49C2448,926
(C2xC4:Dic7):50C2 = C2xC23.21D14φ: trivial image224(C2xC4:Dic7):50C2448,1239

Non-split extensions G=N.Q with N=C2xC4:Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC4:Dic7).1C2 = C28.9C42φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).1C2448,108
(C2xC4:Dic7).2C2 = C14.(C4xQ8)φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).2C2448,181
(C2xC4:Dic7).3C2 = C4:Dic7:7C4φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).3C2448,187
(C2xC4:Dic7).4C2 = C4:Dic7:8C4φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).4C2448,188
(C2xC4:Dic7).5C2 = C14.(C4xD4)φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).5C2448,189
(C2xC4:Dic7).6C2 = (C2xDic7):Q8φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).6C2448,190
(C2xC4:Dic7).7C2 = C2.(C28:Q8)φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).7C2448,191
(C2xC4:Dic7).8C2 = (C2xC28).28D4φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).8C2448,193
(C2xC4:Dic7).9C2 = (C2xC4).Dic14φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).9C2448,194
(C2xC4:Dic7).10C2 = C14.(C4:Q8)φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).10C2448,195
(C2xC4:Dic7).11C2 = C23.34D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7).11C2448,255
(C2xC4:Dic7).12C2 = C23.35D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7).12C2448,256
(C2xC4:Dic7).13C2 = C28:4(C4:C4)φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).13C2448,462
(C2xC4:Dic7).14C2 = (C2xC28):10Q8φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).14C2448,463
(C2xC4:Dic7).15C2 = C42:8Dic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).15C2448,469
(C2xC4:Dic7).16C2 = C42:9Dic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).16C2448,470
(C2xC4:Dic7).17C2 = C4:C4:5Dic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).17C2448,515
(C2xC4:Dic7).18C2 = (C2xC4).44D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).18C2448,517
(C2xC4:Dic7).19C2 = (C2xC28).54D4φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).19C2448,518
(C2xC4:Dic7).20C2 = (C2xC28).55D4φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).20C2448,520
(C2xC4:Dic7).21C2 = C2xC28.44D4φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).21C2448,637
(C2xC4:Dic7).22C2 = C2xC8:Dic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).22C2448,638
(C2xC4:Dic7).23C2 = C2xC56:1C4φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).23C2448,639
(C2xC4:Dic7).24C2 = C2xC28:2Q8φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).24C2448,921
(C2xC4:Dic7).25C2 = C2xC28.6Q8φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).25C2448,922
(C2xC4:Dic7).26C2 = C2xDic7.Q8φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).26C2448,951
(C2xC4:Dic7).27C2 = C28.C42φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).27C2448,86
(C2xC4:Dic7).28C2 = M4(2):Dic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7).28C2448,111
(C2xC4:Dic7).29C2 = C2xC28.Q8φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).29C2448,496
(C2xC4:Dic7).30C2 = C2xC4.Dic14φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).30C2448,497
(C2xC4:Dic7).31C2 = C28:(C4:C4)φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).31C2448,507
(C2xC4:Dic7).32C2 = C4:C4xDic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).32C2448,509
(C2xC4:Dic7).33C2 = (C4xDic7):8C4φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).33C2448,510
(C2xC4:Dic7).34C2 = (C4xDic7):9C4φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).34C2448,511
(C2xC4:Dic7).35C2 = C4:(C4:Dic7)φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).35C2448,519
(C2xC4:Dic7).36C2 = C28.(C2xQ8)φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7).36C2448,529
(C2xC4:Dic7).37C2 = C22:Q8.D7φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7).37C2448,577
(C2xC4:Dic7).38C2 = (C2xC14).Q16φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7).38C2448,578
(C2xC4:Dic7).39C2 = C23.47D28φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7).39C2448,655
(C2xC4:Dic7).40C2 = C2xQ8:Dic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).40C2448,758
(C2xC4:Dic7).41C2 = (Q8xC14):7C4φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).41C2448,764
(C2xC4:Dic7).42C2 = C2xC28:Q8φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).42C2448,950
(C2xC4:Dic7).43C2 = C2xC28.3Q8φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).43C2448,952
(C2xC4:Dic7).44C2 = C42.90D14φ: C2/C1C2 ⊆ Out C2xC4:Dic7224(C2xC4:Dic7).44C2448,972
(C2xC4:Dic7).45C2 = C2xQ8xDic7φ: C2/C1C2 ⊆ Out C2xC4:Dic7448(C2xC4:Dic7).45C2448,1264
(C2xC4:Dic7).46C2 = C4xC4:Dic7φ: trivial image448(C2xC4:Dic7).46C2448,468
(C2xC4:Dic7).47C2 = C2xC4xDic14φ: trivial image448(C2xC4:Dic7).47C2448,920

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