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

Extensions 1→N→G→Q→1 with N=D4:D7 and Q=C4

Direct product G=NxQ with N=D4:D7 and Q=C4
dρLabelID
C4xD4:D7224C4xD4:D7448,547

Semidirect products G=N:Q with N=D4:D7 and Q=C4
extensionφ:Q→Out NdρLabelID
D4:D7:1C4 = Dic7:4D8φ: C4/C2 → C2 ⊆ Out D4:D7224D4:D7:1C4448,290
D4:D7:2C4 = D4:D7:C4φ: C4/C2 → C2 ⊆ Out D4:D7224D4:D7:2C4448,319
D4:D7:3C4 = M4(2).22D14φ: C4/C2 → C2 ⊆ Out D4:D71124D4:D7:3C4448,357
D4:D7:4C4 = C42.196D14φ: C4/C2 → C2 ⊆ Out D4:D71124D4:D7:4C4448,358
D4:D7:5C4 = C42.48D14φ: C4/C2 → C2 ⊆ Out D4:D7224D4:D7:5C4448,548
D4:D7:6C4 = C56.50D4φ: C4/C2 → C2 ⊆ Out D4:D71124D4:D7:6C4448,679
D4:D7:7C4 = C56.93D4φ: trivial image1124D4:D7:7C4448,678


׿
x
:
Z
F
o
wr
Q
<