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

Extensions 1→N→G→Q→1 with N=C2×Dic7⋊C4 and Q=C2

Direct product G=N×Q with N=C2×Dic7⋊C4 and Q=C2
dρLabelID
C22×Dic7⋊C4448C2^2xDic7:C4448,1236

Semidirect products G=N:Q with N=C2×Dic7⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Dic7⋊C4)⋊1C2 = D14⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):1C2448,201
(C2×Dic7⋊C4)⋊2C2 = D14⋊C4⋊5C4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):2C2448,203
(C2×Dic7⋊C4)⋊3C2 = (C22×D7).9D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):3C2448,209
(C2×Dic7⋊C4)⋊4C2 = (C22×D7).Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):4C2448,210
(C2×Dic7⋊C4)⋊5C2 = (C2×C42)⋊D7φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):5C2448,474
(C2×Dic7⋊C4)⋊6C2 = C24.44D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):6C2448,476
(C2×Dic7⋊C4)⋊7C2 = C24.3D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):7C2448,478
(C2×Dic7⋊C4)⋊8C2 = C24.46D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):8C2448,480
(C2×Dic7⋊C4)⋊9C2 = C24.7D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):9C2448,483
(C2×Dic7⋊C4)⋊10C2 = C24.9D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):10C2448,486
(C2×Dic7⋊C4)⋊11C2 = C24.13D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):11C2448,491
(C2×Dic7⋊C4)⋊12C2 = C24.14D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):12C2448,493
(C2×Dic7⋊C4)⋊13C2 = D14⋊C4⋊6C4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):13C2448,523
(C2×Dic7⋊C4)⋊14C2 = (C2×C28).289D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):14C2448,526
(C2×Dic7⋊C4)⋊15C2 = C24.62D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):15C2448,744
(C2×Dic7⋊C4)⋊16C2 = C2×C42⋊2D7φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):16C2448,931
(C2×Dic7⋊C4)⋊17C2 = C2×C28.48D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):17C2448,1237
(C2×Dic7⋊C4)⋊18C2 = C2×C23.23D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):18C2448,1242
(C2×Dic7⋊C4)⋊19C2 = (C2×Dic7)⋊3D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):19C2448,206
(C2×Dic7⋊C4)⋊20C2 = C24.6D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):20C2448,482
(C2×Dic7⋊C4)⋊21C2 = C2×C22⋊Dic14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):21C2448,934
(C2×Dic7⋊C4)⋊22C2 = C2×D14⋊D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):22C2448,942
(C2×Dic7⋊C4)⋊23C2 = C2×D14.5D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):23C2448,958
(C2×Dic7⋊C4)⋊24C2 = D4⋊5Dic14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):24C2448,992
(C2×Dic7⋊C4)⋊25C2 = C42.104D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):25C2448,993
(C2×Dic7⋊C4)⋊26C2 = C14.802- 1+4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):26C2448,1103
(C2×Dic7⋊C4)⋊27C2 = C14.822- 1+4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):27C2448,1108
(C2×Dic7⋊C4)⋊28C2 = C14.682- 1+4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):28C2448,1050
(C2×Dic7⋊C4)⋊29C2 = C14.352+ 1+4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):29C2448,1055
(C2×Dic7⋊C4)⋊30C2 = C14.572+ 1+4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):30C2448,1098
(C2×Dic7⋊C4)⋊31C2 = D14⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):31C2448,202
(C2×Dic7⋊C4)⋊32C2 = C24.4D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):32C2448,479
(C2×Dic7⋊C4)⋊33C2 = C2×C23.11D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):33C2448,933
(C2×Dic7⋊C4)⋊34C2 = C2×C23.D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):34C2448,935
(C2×Dic7⋊C4)⋊35C2 = C2×Dic7⋊4D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):35C2448,938
(C2×Dic7⋊C4)⋊36C2 = C2×D14.D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):36C2448,941
(C2×Dic7⋊C4)⋊37C2 = C2×D7×C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):37C2448,954
(C2×Dic7⋊C4)⋊38C2 = C42.108D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):38C2448,999
(C2×Dic7⋊C4)⋊39C2 = C42.118D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):39C2448,1017
(C2×Dic7⋊C4)⋊40C2 = C14.342+ 1+4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):40C2448,1054
(C2×Dic7⋊C4)⋊41C2 = C14.522+ 1+4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):41C2448,1089
(C2×Dic7⋊C4)⋊42C2 = (C2×C4).45D28φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):42C2448,528
(C2×Dic7⋊C4)⋊43C2 = C24.20D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):43C2448,756
(C2×Dic7⋊C4)⋊44C2 = C2×D14⋊Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):44C2448,961
(C2×Dic7⋊C4)⋊45C2 = C2×C4⋊C4⋊D7φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):45C2448,965
(C2×Dic7⋊C4)⋊46C2 = C42.96D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):46C2448,984
(C2×Dic7⋊C4)⋊47C2 = C2×C23.18D14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):47C2448,1249
(C2×Dic7⋊C4)⋊48C2 = C2×Dic7⋊D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):48C2448,1255
(C2×Dic7⋊C4)⋊49C2 = C2×D14⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):49C2448,1266
(C2×Dic7⋊C4)⋊50C2 = C14.1042- 1+4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4):50C2448,1277
(C2×Dic7⋊C4)⋊51C2 = C2×C42⋊D7φ: trivial image224(C2xDic7:C4):51C2448,925
(C2×Dic7⋊C4)⋊52C2 = C2×C4×C7⋊D4φ: trivial image224(C2xDic7:C4):52C2448,1241

Non-split extensions G=N.Q with N=C2×Dic7⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Dic7⋊C4).1C2 = (C2×C28)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).1C2448,180
(C2×Dic7⋊C4).2C2 = C14.(C4×Q8)φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).2C2448,181
(C2×Dic7⋊C4).3C2 = C7⋊(C42⋊8C4)φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).3C2448,184
(C2×Dic7⋊C4).4C2 = Dic7⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).4C2448,186
(C2×Dic7⋊C4).5C2 = C4⋊Dic7⋊8C4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).5C2448,188
(C2×Dic7⋊C4).6C2 = C2.(C28⋊Q8)φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).6C2448,191
(C2×Dic7⋊C4).7C2 = (C2×Dic7).Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).7C2448,192
(C2×Dic7⋊C4).8C2 = (C2×C4).Dic14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).8C2448,194
(C2×Dic7⋊C4).9C2 = C28⋊4(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).9C2448,462
(C2×Dic7⋊C4).10C2 = (C2×C42).D7φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).10C2448,467
(C2×Dic7⋊C4).11C2 = C28⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).11C2448,507
(C2×Dic7⋊C4).12C2 = (C4×Dic7)⋊8C4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).12C2448,510
(C2×Dic7⋊C4).13C2 = (C2×C4)⋊Dic14φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).13C2448,513
(C2×Dic7⋊C4).14C2 = (C2×C28).287D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).14C2448,514
(C2×Dic7⋊C4).15C2 = (C2×C28).54D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).15C2448,518
(C2×Dic7⋊C4).16C2 = C2×C28.6Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).16C2448,922
(C2×Dic7⋊C4).17C2 = C14.(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).17C2448,189
(C2×Dic7⋊C4).18C2 = (C2×Dic7)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).18C2448,190
(C2×Dic7⋊C4).19C2 = (C2×C28).28D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).19C2448,193
(C2×Dic7⋊C4).20C2 = C14.(C4⋊Q8)φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).20C2448,195
(C2×Dic7⋊C4).21C2 = C2×C28⋊Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).21C2448,950
(C2×Dic7⋊C4).22C2 = C2×C28.3Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).22C2448,952
(C2×Dic7⋊C4).23C2 = C14.752- 1+4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4).23C2448,1076
(C2×Dic7⋊C4).24C2 = (C2×Dic7)⋊C8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4224(C2xDic7:C4).24C2448,26
(C2×Dic7⋊C4).25C2 = Dic7⋊C42φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).25C2448,183
(C2×Dic7⋊C4).26C2 = C4⋊Dic7⋊7C4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).26C2448,187
(C2×Dic7⋊C4).27C2 = Dic7⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).27C2448,506
(C2×Dic7⋊C4).28C2 = C2×Dic7⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).28C2448,949
(C2×Dic7⋊C4).29C2 = C2×Dic7.Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).29C2448,951
(C2×Dic7⋊C4).30C2 = C22.23(Q8×D7)φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).30C2448,512
(C2×Dic7⋊C4).31C2 = (C2×C28).288D4φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).31C2448,516
(C2×Dic7⋊C4).32C2 = (C2×C4).44D28φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).32C2448,517
(C2×Dic7⋊C4).33C2 = C14.C22≀C2φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).33C2448,763
(C2×Dic7⋊C4).34C2 = C2×Dic7⋊Q8φ: C2/C1 → C2 ⊆ Out C2×Dic7⋊C4448(C2xDic7:C4).34C2448,1263
(C2×Dic7⋊C4).35C2 = C4×Dic7⋊C4φ: trivial image448(C2xDic7:C4).35C2448,465
(C2×Dic7⋊C4).36C2 = C2×C4×Dic14φ: trivial image448(C2xDic7:C4).36C2448,920

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁