Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

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

Direct product G=N×Q with N=C7×C4⋊D4 and Q=C2
dρLabelID
C14×C4⋊D4224C14xC4:D4448,1305

Semidirect products G=N:Q with N=C7×C4⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4⋊D4)⋊1C2 = D28⋊16D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):1C2448,570
(C7×C4⋊D4)⋊2C2 = D28⋊17D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):2C2448,571
(C7×C4⋊D4)⋊3C2 = C7⋊C8⋊22D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):3C2448,572
(C7×C4⋊D4)⋊4C2 = C4⋊D4⋊D7φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):4C2448,573
(C7×C4⋊D4)⋊5C2 = C28⋊(C4○D4)φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):5C2448,1049
(C7×C4⋊D4)⋊6C2 = C14.682- 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):6C2448,1050
(C7×C4⋊D4)⋊7C2 = Dic14⋊19D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):7C2448,1051
(C7×C4⋊D4)⋊8C2 = Dic14⋊20D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):8C2448,1052
(C7×C4⋊D4)⋊9C2 = C14.342+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):9C2448,1054
(C7×C4⋊D4)⋊10C2 = D7×C4⋊D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):10C2448,1057
(C7×C4⋊D4)⋊11C2 = C14.372+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):11C2448,1058
(C7×C4⋊D4)⋊12C2 = C4⋊C4⋊21D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):12C2448,1059
(C7×C4⋊D4)⋊13C2 = C14.382+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):13C2448,1060
(C7×C4⋊D4)⋊14C2 = C14.722- 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):14C2448,1061
(C7×C4⋊D4)⋊15C2 = D28⋊19D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):15C2448,1062
(C7×C4⋊D4)⋊16C2 = C14.402+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):16C2448,1063
(C7×C4⋊D4)⋊17C2 = C14.732- 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):17C2448,1064
(C7×C4⋊D4)⋊18C2 = D28⋊20D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):18C2448,1065
(C7×C4⋊D4)⋊19C2 = C14.422+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):19C2448,1066
(C7×C4⋊D4)⋊20C2 = C14.432+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):20C2448,1067
(C7×C4⋊D4)⋊21C2 = C14.442+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):21C2448,1068
(C7×C4⋊D4)⋊22C2 = C14.452+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):22C2448,1069
(C7×C4⋊D4)⋊23C2 = C14.462+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):23C2448,1070
(C7×C4⋊D4)⋊24C2 = C14.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):24C2448,1071
(C7×C4⋊D4)⋊25C2 = C14.472+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):25C2448,1072
(C7×C4⋊D4)⋊26C2 = C14.482+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):26C2448,1073
(C7×C4⋊D4)⋊27C2 = C14.492+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):27C2448,1074
(C7×C4⋊D4)⋊28C2 = C7×C22⋊D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):28C2448,855
(C7×C4⋊D4)⋊29C2 = C7×D4⋊D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):29C2448,857
(C7×C4⋊D4)⋊30C2 = C7×C8⋊7D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):30C2448,874
(C7×C4⋊D4)⋊31C2 = C7×C8⋊2D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):31C2448,877
(C7×C4⋊D4)⋊32C2 = C7×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):32C2448,1317
(C7×C4⋊D4)⋊33C2 = C7×C22.29C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):33C2448,1318
(C7×C4⋊D4)⋊34C2 = C7×C22.31C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):34C2448,1320
(C7×C4⋊D4)⋊35C2 = C7×C22.32C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):35C2448,1321
(C7×C4⋊D4)⋊36C2 = C7×C22.34C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):36C2448,1323
(C7×C4⋊D4)⋊37C2 = C7×D42φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):37C2448,1328
(C7×C4⋊D4)⋊38C2 = C7×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):38C2448,1329
(C7×C4⋊D4)⋊39C2 = C7×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):39C2448,1330
(C7×C4⋊D4)⋊40C2 = C7×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):40C2448,1331
(C7×C4⋊D4)⋊41C2 = C7×Q8⋊6D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):41C2448,1333
(C7×C4⋊D4)⋊42C2 = C7×C22.47C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):42C2448,1336
(C7×C4⋊D4)⋊43C2 = C7×C22.49C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):43C2448,1338
(C7×C4⋊D4)⋊44C2 = C7×C22.54C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4):44C2448,1343
(C7×C4⋊D4)⋊45C2 = C7×C22.56C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4):45C2448,1345
(C7×C4⋊D4)⋊46C2 = C7×C22.19C24φ: trivial image112(C7xC4:D4):46C2448,1308
(C7×C4⋊D4)⋊47C2 = C7×C22.26C24φ: trivial image224(C7xC4:D4):47C2448,1315

Non-split extensions G=N.Q with N=C7×C4⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4⋊D4).1C2 = (C2×C14).D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).1C2448,567
(C7×C4⋊D4).2C2 = C4⋊D4.D7φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).2C2448,568
(C7×C4⋊D4).3C2 = (C2×D4).D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).3C2448,569
(C7×C4⋊D4).4C2 = Dic14⋊17D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).4C2448,574
(C7×C4⋊D4).5C2 = C7⋊C8⋊23D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).5C2448,575
(C7×C4⋊D4).6C2 = C7⋊C8⋊5D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).6C2448,576
(C7×C4⋊D4).7C2 = C4⋊C4.178D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).7C2448,1053
(C7×C4⋊D4).8C2 = C14.352+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).8C2448,1055
(C7×C4⋊D4).9C2 = C14.712- 1+4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).9C2448,1056
(C7×C4⋊D4).10C2 = (D4×C14)⋊C4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4).10C2448,94
(C7×C4⋊D4).11C2 = C7×C22.SD16φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4112(C7xC4:D4).11C2448,131
(C7×C4⋊D4).12C2 = C7×Q8⋊D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).12C2448,856
(C7×C4⋊D4).13C2 = C7×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).13C2448,873
(C7×C4⋊D4).14C2 = C7×C8⋊D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).14C2448,876
(C7×C4⋊D4).15C2 = C7×C22.D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).15C2448,888
(C7×C4⋊D4).16C2 = C7×C23.46D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).16C2448,889
(C7×C4⋊D4).17C2 = C7×C23.19D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).17C2448,890
(C7×C4⋊D4).18C2 = C7×C22.33C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).18C2448,1322
(C7×C4⋊D4).19C2 = C7×C22.36C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊D4224(C7xC4:D4).19C2448,1325
(C7×C4⋊D4).20C2 = C7×C23.36C23φ: trivial image224(C7xC4:D4).20C2448,1312

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁