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

Extensions 1→N→G→Q→1 with N=C2 and Q=C7xD8

Direct product G=NxQ with N=C2 and Q=C7xD8
dρLabelID
C14xD8112C14xD8224,167


Non-split extensions G=N.Q with N=C2 and Q=C7xD8
extensionφ:Q→Aut NdρLabelID
C2.1(C7xD8) = C7xD4:C4central extension (φ=1)112C2.1(C7xD8)224,51
C2.2(C7xD8) = C7xC2.D8central extension (φ=1)224C2.2(C7xD8)224,56
C2.3(C7xD8) = C7xD16central stem extension (φ=1)1122C2.3(C7xD8)224,60
C2.4(C7xD8) = C7xSD32central stem extension (φ=1)1122C2.4(C7xD8)224,61
C2.5(C7xD8) = C7xQ32central stem extension (φ=1)2242C2.5(C7xD8)224,62

׿
x
:
Z
F
o
wr
Q
<