Extensions 1→N→G→Q→1 with N=C4×Dic14 and Q=C2

Direct product G=N×Q with N=C4×Dic14 and Q=C2
dρLabelID
C2×C4×Dic14448C2xC4xDic14448,920

Semidirect products G=N:Q with N=C4×Dic14 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×Dic14)⋊1C2 = C4×C56⋊C2φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):1C2448,225
(C4×Dic14)⋊2C2 = C42.16D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):2C2448,244
(C4×Dic14)⋊3C2 = C42.274D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):3C2448,923
(C4×Dic14)⋊4C2 = C42.277D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):4C2448,932
(C4×Dic14)⋊5C2 = C42.87D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):5C2448,969
(C4×Dic14)⋊6C2 = C42.88D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):6C2448,970
(C4×Dic14)⋊7C2 = C42.89D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):7C2448,971
(C4×Dic14)⋊8C2 = C42.91D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):8C2448,976
(C4×Dic14)⋊9C2 = C42.93D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):9C2448,981
(C4×Dic14)⋊10C2 = C42.96D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):10C2448,984
(C4×Dic14)⋊11C2 = C42.98D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):11C2448,986
(C4×Dic14)⋊12C2 = C42.99D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):12C2448,987
(C4×Dic14)⋊13C2 = C42.159D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):13C2448,1154
(C4×Dic14)⋊14C2 = C42.160D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):14C2448,1155
(C4×Dic14)⋊15C2 = C42.162D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):15C2448,1161
(C4×Dic14)⋊16C2 = C42.164D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):16C2448,1163
(C4×Dic14)⋊17C2 = C42.36D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):17C2448,379
(C4×Dic14)⋊18C2 = Dic148D4φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):18C2448,382
(C4×Dic14)⋊19C2 = C4×D4.D7φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):19C2448,551
(C4×Dic14)⋊20C2 = C42.51D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):20C2448,552
(C4×Dic14)⋊21C2 = C42.61D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):21C2448,588
(C4×Dic14)⋊22C2 = Dic149D4φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):22C2448,609
(C4×Dic14)⋊23C2 = C4×D42D7φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):23C2448,989
(C4×Dic14)⋊24C2 = D4×Dic14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):24C2448,990
(C4×Dic14)⋊25C2 = C42.102D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):25C2448,991
(C4×Dic14)⋊26C2 = D45Dic14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):26C2448,992
(C4×Dic14)⋊27C2 = C42.105D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):27C2448,994
(C4×Dic14)⋊28C2 = C42.106D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):28C2448,995
(C4×Dic14)⋊29C2 = D46Dic14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):29C2448,996
(C4×Dic14)⋊30C2 = C42.108D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):30C2448,999
(C4×Dic14)⋊31C2 = Dic1423D4φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):31C2448,1005
(C4×Dic14)⋊32C2 = Dic1424D4φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):32C2448,1006
(C4×Dic14)⋊33C2 = C42.229D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):33C2448,1010
(C4×Dic14)⋊34C2 = C42.114D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):34C2448,1012
(C4×Dic14)⋊35C2 = C42.115D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):35C2448,1014
(C4×Dic14)⋊36C2 = C42.122D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):36C2448,1021
(C4×Dic14)⋊37C2 = C4×Q8×D7φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):37C2448,1024
(C4×Dic14)⋊38C2 = C42.125D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):38C2448,1025
(C4×Dic14)⋊39C2 = C42.232D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):39C2448,1031
(C4×Dic14)⋊40C2 = C42.134D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):40C2448,1036
(C4×Dic14)⋊41C2 = C42.135D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):41C2448,1037
(C4×Dic14)⋊42C2 = C42.136D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):42C2448,1038
(C4×Dic14)⋊43C2 = C42.137D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):43C2448,1122
(C4×Dic14)⋊44C2 = C42.139D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):44C2448,1124
(C4×Dic14)⋊45C2 = Dic1410D4φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):45C2448,1130
(C4×Dic14)⋊46C2 = C42.143D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):46C2448,1134
(C4×Dic14)⋊47C2 = D287Q8φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):47C2448,1143
(C4×Dic14)⋊48C2 = C42.152D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):48C2448,1147
(C4×Dic14)⋊49C2 = C42.154D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):49C2448,1149
(C4×Dic14)⋊50C2 = C42.166D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):50C2448,1166
(C4×Dic14)⋊51C2 = Dic1411D4φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):51C2448,1171
(C4×Dic14)⋊52C2 = D288Q8φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):52C2448,1180
(C4×Dic14)⋊53C2 = D289Q8φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):53C2448,1183
(C4×Dic14)⋊54C2 = C42.177D14φ: C2/C1C2 ⊆ Out C4×Dic14224(C4xDic14):54C2448,1185
(C4×Dic14)⋊55C2 = C4×C4○D28φ: trivial image224(C4xDic14):55C2448,927

Non-split extensions G=N.Q with N=C4×Dic14 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×Dic14).1C2 = C4.8Dic28φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).1C2448,13
(C4×Dic14).2C2 = C5611Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).2C2448,213
(C4×Dic14).3C2 = C4×Dic28φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).3C2448,232
(C4×Dic14).4C2 = C56⋊Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).4C2448,235
(C4×Dic14).5C2 = Dic28⋊C4φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).5C2448,250
(C4×Dic14).6C2 = Dic142C8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).6C2448,41
(C4×Dic14).7C2 = C42.27D14φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).7C2448,362
(C4×Dic14).8C2 = Dic14.3Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).8C2448,363
(C4×Dic14).9C2 = Dic14⋊C8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).9C2448,364
(C4×Dic14).10C2 = C28.M4(2)φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).10C2448,365
(C4×Dic14).11C2 = C4⋊Dic28φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).11C2448,383
(C4×Dic14).12C2 = C28.7Q16φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).12C2448,384
(C4×Dic14).13C2 = Dic144Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).13C2448,385
(C4×Dic14).14C2 = C4×C7⋊Q16φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).14C2448,563
(C4×Dic14).15C2 = C42.59D14φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).15C2448,564
(C4×Dic14).16C2 = Dic14.4Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).16C2448,597
(C4×Dic14).17C2 = C28⋊Q16φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).17C2448,624
(C4×Dic14).18C2 = Dic145Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).18C2448,625
(C4×Dic14).19C2 = Dic146Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).19C2448,628
(C4×Dic14).20C2 = Q8×Dic14φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).20C2448,1019
(C4×Dic14).21C2 = Dic1410Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).21C2448,1020
(C4×Dic14).22C2 = Q85Dic14φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).22C2448,1022
(C4×Dic14).23C2 = Q86Dic14φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).23C2448,1023
(C4×Dic14).24C2 = Dic147Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).24C2448,1138
(C4×Dic14).25C2 = Dic148Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).25C2448,1174
(C4×Dic14).26C2 = Dic149Q8φ: C2/C1C2 ⊆ Out C4×Dic14448(C4xDic14).26C2448,1175
(C4×Dic14).27C2 = C8×Dic14φ: trivial image448(C4xDic14).27C2448,212

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