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

Extensions 1→N→G→Q→1 with N=D4.4D4 and Q=C2

Direct product G=NxQ with N=D4.4D4 and Q=C2
dρLabelID
C2xD4.4D432C2xD4.4D4128,1797

Semidirect products G=N:Q with N=D4.4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.4D4:1C2 = Q16.10D4φ: C2/C1 → C2 ⊆ Out D4.4D4324+D4.4D4:1C2128,924
D4.4D4:2C2 = Q16.D4φ: C2/C1 → C2 ⊆ Out D4.4D4324D4.4D4:2C2128,925
D4.4D4:3C2 = D4.3D8φ: C2/C1 → C2 ⊆ Out D4.4D4324+D4.4D4:3C2128,953
D4.4D4:4C2 = M4(2).37D4φ: C2/C1 → C2 ⊆ Out D4.4D4168+D4.4D4:4C2128,1800
D4.4D4:5C2 = D8:11D4φ: C2/C1 → C2 ⊆ Out D4.4D4168+D4.4D4:5C2128,2020
D4.4D4:6C2 = D8oSD16φ: C2/C1 → C2 ⊆ Out D4.4D4324D4.4D4:6C2128,2022
D4.4D4:7C2 = D8oD8φ: C2/C1 → C2 ⊆ Out D4.4D4164+D4.4D4:7C2128,2024
D4.4D4:8C2 = M4(2).10C23φ: trivial image324D4.4D4:8C2128,1799

Non-split extensions G=N.Q with N=D4.4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.4D4.C2 = D4.5D8φ: C2/C1 → C2 ⊆ Out D4.4D4324D4.4D4.C2128,955

׿
x
:
Z
F
o
wr
Q
<