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Extensions 1→N→G→Q→1 with N=C4×C7⋊D4 and Q=C2

Direct product G=N×Q with N=C4×C7⋊D4 and Q=C2
dρLabelID
C2×C4×C7⋊D4224C2xC4xC7:D4448,1241

Semidirect products G=N:Q with N=C4×C7⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C7⋊D4)⋊1C2 = C24.27D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):1C2448,943
(C4×C7⋊D4)⋊2C2 = C24.31D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):2C2448,948
(C4×C7⋊D4)⋊3C2 = C42.102D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):3C2448,991
(C4×C7⋊D4)⋊4C2 = C42.228D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):4C2448,1001
(C4×C7⋊D4)⋊5C2 = C42.229D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):5C2448,1010
(C4×C7⋊D4)⋊6C2 = C14.612+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):6C2448,1110
(C4×C7⋊D4)⋊7C2 = C14.832- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):7C2448,1113
(C4×C7⋊D4)⋊8C2 = C14.842- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):8C2448,1115
(C4×C7⋊D4)⋊9C2 = C14.662+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):9C2448,1116
(C4×C7⋊D4)⋊10C2 = C14.2- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):10C2448,960
(C4×C7⋊D4)⋊11C2 = C14.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):11C2448,967
(C4×C7⋊D4)⋊12C2 = C42.95D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):12C2448,983
(C4×C7⋊D4)⋊13C2 = C42.97D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):13C2448,985
(C4×C7⋊D4)⋊14C2 = Dic14⋊19D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):14C2448,1051
(C4×C7⋊D4)⋊15C2 = Dic14⋊20D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):15C2448,1052
(C4×C7⋊D4)⋊16C2 = D28⋊19D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):16C2448,1062
(C4×C7⋊D4)⋊17C2 = C14.732- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):17C2448,1064
(C4×C7⋊D4)⋊18C2 = D28⋊20D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):18C2448,1065
(C4×C7⋊D4)⋊19C2 = C14.432+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):19C2448,1067
(C4×C7⋊D4)⋊20C2 = C14.452+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):20C2448,1069
(C4×C7⋊D4)⋊21C2 = C14.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):21C2448,1071
(C4×C7⋊D4)⋊22C2 = D28⋊21D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):22C2448,1083
(C4×C7⋊D4)⋊23C2 = D28⋊22D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):23C2448,1084
(C4×C7⋊D4)⋊24C2 = Dic14⋊22D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):24C2448,1086
(C4×C7⋊D4)⋊25C2 = D4×C7⋊D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):25C2448,1254
(C4×C7⋊D4)⋊26C2 = C24.42D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):26C2448,1259
(C4×C7⋊D4)⋊27C2 = C14.452- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):27C2448,1270
(C4×C7⋊D4)⋊28C2 = C14.1042- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):28C2448,1277
(C4×C7⋊D4)⋊29C2 = C14.1452+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):29C2448,1282
(C4×C7⋊D4)⋊30C2 = C14.1072- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):30C2448,1284
(C4×C7⋊D4)⋊31C2 = C14.1482+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):31C2448,1287
(C4×C7⋊D4)⋊32C2 = C42.277D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):32C2448,932
(C4×C7⋊D4)⋊33C2 = C24.24D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):33C2448,939
(C4×C7⋊D4)⋊34C2 = C24.30D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):34C2448,947
(C4×C7⋊D4)⋊35C2 = C14.82+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):35C2448,957
(C4×C7⋊D4)⋊36C2 = C14.62- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):36C2448,968
(C4×C7⋊D4)⋊37C2 = C4×D4⋊2D7φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):37C2448,989
(C4×C7⋊D4)⋊38C2 = C42.104D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):38C2448,993
(C4×C7⋊D4)⋊39C2 = C4×D4×D7φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):39C2448,997
(C4×C7⋊D4)⋊40C2 = C42⋊11D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):40C2448,998
(C4×C7⋊D4)⋊41C2 = C42.108D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):41C2448,999
(C4×C7⋊D4)⋊42C2 = C42⋊12D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):42C2448,1000
(C4×C7⋊D4)⋊43C2 = C42⋊16D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):43C2448,1009
(C4×C7⋊D4)⋊44C2 = C42.113D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):44C2448,1011
(C4×C7⋊D4)⋊45C2 = C42.114D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):45C2448,1012
(C4×C7⋊D4)⋊46C2 = C42⋊17D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):46C2448,1013
(C4×C7⋊D4)⋊47C2 = C42.118D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):47C2448,1017
(C4×C7⋊D4)⋊48C2 = C14.622+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):48C2448,1112
(C4×C7⋊D4)⋊49C2 = C14.642+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):49C2448,1114
(C4×C7⋊D4)⋊50C2 = C14.672+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):50C2448,1117
(C4×C7⋊D4)⋊51C2 = C24.72D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):51C2448,1244
(C4×C7⋊D4)⋊52C2 = C42.93D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):52C2448,981
(C4×C7⋊D4)⋊53C2 = C14.342+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):53C2448,1054
(C4×C7⋊D4)⋊54C2 = C14.402+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):54C2448,1063
(C4×C7⋊D4)⋊55C2 = C14.422+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):55C2448,1066
(C4×C7⋊D4)⋊56C2 = C14.442+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):56C2448,1068
(C4×C7⋊D4)⋊57C2 = C14.532+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):57C2448,1090
(C4×C7⋊D4)⋊58C2 = C14.202- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):58C2448,1091
(C4×C7⋊D4)⋊59C2 = C14.222- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):59C2448,1093
(C4×C7⋊D4)⋊60C2 = (C2×C28)⋊15D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4112(C4xC7:D4):60C2448,1281
(C4×C7⋊D4)⋊61C2 = (C2×C28)⋊17D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4):61C2448,1285
(C4×C7⋊D4)⋊62C2 = C4×C4○D28φ: trivial image224(C4xC7:D4):62C2448,927

Non-split extensions G=N.Q with N=C4×C7⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C7⋊D4).1C2 = D14⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).1C2448,262
(C4×C7⋊D4).2C2 = Dic7⋊M4(2)φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).2C2448,263
(C4×C7⋊D4).3C2 = C14.102+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).3C2448,964
(C4×C7⋊D4).4C2 = C14.52- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).4C2448,966
(C4×C7⋊D4).5C2 = C42.94D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).5C2448,982
(C4×C7⋊D4).6C2 = C42.98D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).6C2448,986
(C4×C7⋊D4).7C2 = Dic14⋊21D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).7C2448,1085
(C4×C7⋊D4).8C2 = C14.1182+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).8C2448,1088
(C4×C7⋊D4).9C2 = C14.212- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).9C2448,1092
(C4×C7⋊D4).10C2 = C14.232- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).10C2448,1094
(C4×C7⋊D4).11C2 = C14.772- 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).11C2448,1095
(C4×C7⋊D4).12C2 = Q8×C7⋊D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).12C2448,1268
(C4×C7⋊D4).13C2 = C7⋊D4⋊C8φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).13C2448,259
(C4×C7⋊D4).14C2 = C7⋊C8⋊26D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).14C2448,264
(C4×C7⋊D4).15C2 = C56⋊32D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).15C2448,645
(C4×C7⋊D4).16C2 = C56⋊D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).16C2448,661
(C4×C7⋊D4).17C2 = C56⋊18D4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).17C2448,662
(C4×C7⋊D4).18C2 = C14.522+ 1+4φ: C2/C1 → C2 ⊆ Out C4×C7⋊D4224(C4xC7:D4).18C2448,1089
(C4×C7⋊D4).19C2 = C8×C7⋊D4φ: trivial image224(C4xC7:D4).19C2448,643

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