Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=D7xC4:C4 and Q=C2

Direct product G=NxQ with N=D7xC4:C4 and Q=C2
dρLabelID
C2xD7xC4:C4224C2xD7xC4:C4448,954

Semidirect products G=N:Q with N=D7xC4:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7xC4:C4):1C2 = D7xD4:C4φ: C2/C1 → C2 ⊆ Out D7xC4:C4112(D7xC4:C4):1C2448,303
(D7xC4:C4):2C2 = D4:(C4xD7)φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):2C2448,305
(D7xC4:C4):3C2 = D14.D8φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):3C2448,308
(D7xC4:C4):4C2 = D14.SD16φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):4C2448,311
(D7xC4:C4):5C2 = Q8:(C4xD7)φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):5C2448,337
(D7xC4:C4):6C2 = D14.4SD16φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):6C2448,397
(D7xC4:C4):7C2 = D14.5D8φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):7C2448,416
(D7xC4:C4):8C2 = C14.82+ 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):8C2448,957
(D7xC4:C4):9C2 = C14.2- 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):9C2448,960
(D7xC4:C4):10C2 = C14.102+ 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):10C2448,964
(D7xC4:C4):11C2 = C42.91D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):11C2448,976
(D7xC4:C4):12C2 = C42.94D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):12C2448,982
(D7xC4:C4):13C2 = C42.95D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):13C2448,983
(D7xC4:C4):14C2 = C42.108D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):14C2448,999
(D7xC4:C4):15C2 = D28:24D4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):15C2448,1004
(D7xC4:C4):16C2 = C42.113D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):16C2448,1011
(D7xC4:C4):17C2 = C42.126D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):17C2448,1027
(D7xC4:C4):18C2 = D28:10Q8φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):18C2448,1032
(D7xC4:C4):19C2 = C42.132D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):19C2448,1034
(D7xC4:C4):20C2 = D7xC4:D4φ: C2/C1 → C2 ⊆ Out D7xC4:C4112(D7xC4:C4):20C2448,1057
(D7xC4:C4):21C2 = C14.722- 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):21C2448,1061
(D7xC4:C4):22C2 = C14.732- 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):22C2448,1064
(D7xC4:C4):23C2 = C14.432+ 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):23C2448,1067
(D7xC4:C4):24C2 = D7xC22:Q8φ: C2/C1 → C2 ⊆ Out D7xC4:C4112(D7xC4:C4):24C2448,1079
(D7xC4:C4):25C2 = C14.172- 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):25C2448,1082
(D7xC4:C4):26C2 = D28:22D4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):26C2448,1084
(D7xC4:C4):27C2 = C14.1182+ 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):27C2448,1088
(D7xC4:C4):28C2 = C14.522+ 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):28C2448,1089
(D7xC4:C4):29C2 = C14.202- 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):29C2448,1091
(D7xC4:C4):30C2 = C14.212- 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):30C2448,1092
(D7xC4:C4):31C2 = D7xC22.D4φ: C2/C1 → C2 ⊆ Out D7xC4:C4112(D7xC4:C4):31C2448,1105
(D7xC4:C4):32C2 = C14.822- 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):32C2448,1108
(D7xC4:C4):33C2 = C14.832- 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):33C2448,1113
(D7xC4:C4):34C2 = C14.642+ 1+4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):34C2448,1114
(D7xC4:C4):35C2 = D28:7Q8φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):35C2448,1143
(D7xC4:C4):36C2 = C42.150D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):36C2448,1145
(D7xC4:C4):37C2 = C42.151D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):37C2448,1146
(D7xC4:C4):38C2 = C42.152D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):38C2448,1147
(D7xC4:C4):39C2 = C42.153D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):39C2448,1148
(D7xC4:C4):40C2 = D7xC42:2C2φ: C2/C1 → C2 ⊆ Out D7xC4:C4112(D7xC4:C4):40C2448,1156
(D7xC4:C4):41C2 = C42.161D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):41C2448,1160
(D7xC4:C4):42C2 = C42.162D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):42C2448,1161
(D7xC4:C4):43C2 = C42.163D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):43C2448,1162
(D7xC4:C4):44C2 = D28:12D4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):44C2448,1179
(D7xC4:C4):45C2 = D28:9Q8φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4):45C2448,1183
(D7xC4:C4):46C2 = D7xC42:C2φ: trivial image112(D7xC4:C4):46C2448,973
(D7xC4:C4):47C2 = C4xD4xD7φ: trivial image112(D7xC4:C4):47C2448,997

Non-split extensions G=N.Q with N=D7xC4:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7xC4:C4).1C2 = D7xQ8:C4φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).1C2448,335
(D7xC4:C4).2C2 = D14.1SD16φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).2C2448,339
(D7xC4:C4).3C2 = D14.Q16φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).3C2448,343
(D7xC4:C4).4C2 = D7xC4.Q8φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).4C2448,393
(D7xC4:C4).5C2 = C8:(C4xD7)φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).5C2448,395
(D7xC4:C4).6C2 = D14.2SD16φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).6C2448,396
(D7xC4:C4).7C2 = D7xC2.D8φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).7C2448,413
(D7xC4:C4).8C2 = C56:(C2xC4)φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).8C2448,415
(D7xC4:C4).9C2 = D14.2Q16φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).9C2448,418
(D7xC4:C4).10C2 = D7xC42.C2φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).10C2448,1140
(D7xC4:C4).11C2 = C42.148D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).11C2448,1142
(D7xC4:C4).12C2 = D7xC4:Q8φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).12C2448,1176
(D7xC4:C4).13C2 = C42.174D14φ: C2/C1 → C2 ⊆ Out D7xC4:C4224(D7xC4:C4).13C2448,1182
(D7xC4:C4).14C2 = C4xQ8xD7φ: trivial image224(D7xC4:C4).14C2448,1024

׿
x
:
Z
F
o
wr
Q
<