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

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

Direct product G=NxQ with N=Dic14:C4 and Q=C2
dρLabelID
C2xDic14:C4112C2xDic14:C4448,461

Semidirect products G=N:Q with N=Dic14:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic14:C4:1C2 = D56:4C4φ: C2/C1 → C2 ⊆ Out Dic14:C41124Dic14:C4:1C2448,251
Dic14:C4:2C2 = C42:4D14φ: C2/C1 → C2 ⊆ Out Dic14:C41124Dic14:C4:2C2448,539
Dic14:C4:3C2 = D7xC4wrC2φ: C2/C1 → C2 ⊆ Out Dic14:C4564Dic14:C4:3C2448,354
Dic14:C4:4C2 = C42:D14φ: C2/C1 → C2 ⊆ Out Dic14:C41124Dic14:C4:4C2448,355
Dic14:C4:5C2 = D4:4D28φ: C2/C1 → C2 ⊆ Out Dic14:C4564+Dic14:C4:5C2448,356
Dic14:C4:6C2 = M4(2).22D14φ: C2/C1 → C2 ⊆ Out Dic14:C41124Dic14:C4:6C2448,357
Dic14:C4:7C2 = C42.196D14φ: C2/C1 → C2 ⊆ Out Dic14:C41124Dic14:C4:7C2448,358
Dic14:C4:8C2 = M4(2):D14φ: C2/C1 → C2 ⊆ Out Dic14:C41124Dic14:C4:8C2448,359
Dic14:C4:9C2 = D4.9D28φ: C2/C1 → C2 ⊆ Out Dic14:C41124-Dic14:C4:9C2448,360
Dic14:C4:10C2 = D4.10D28φ: C2/C1 → C2 ⊆ Out Dic14:C41124Dic14:C4:10C2448,361
Dic14:C4:11C2 = C42:5D14φ: C2/C1 → C2 ⊆ Out Dic14:C41124Dic14:C4:11C2448,595
Dic14:C4:12C2 = D28.14D4φ: C2/C1 → C2 ⊆ Out Dic14:C41124Dic14:C4:12C2448,596
Dic14:C4:13C2 = D28:5D4φ: C2/C1 → C2 ⊆ Out Dic14:C4564Dic14:C4:13C2448,611
Dic14:C4:14C2 = D28.15D4φ: C2/C1 → C2 ⊆ Out Dic14:C41124Dic14:C4:14C2448,629
Dic14:C4:15C2 = D56:11C4φ: trivial image1122Dic14:C4:15C2448,234


׿
x
:
Z
F
o
wr
Q
<