In this page we list all the maximal quotients
of the group G. For each maximal quotient, we provide
a link to the web page of a group isomorphic to it,
an element of the group G that generates the kernel of
the quotient map, a table describing
the inflation map, and generators of the kernel of the inflation.
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Maximal quotient group Q number
1
|
|
The kernel of the quotient map is generated by:
g4
|
|
Q is isomorphic to the
Group of order 8 number 2
|
Generator of the cohomology of Q Image under
inflation |
z
z
|
y
y
|
x
zy
|
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The kernel of the inflation to G of the cohomology of Q is generated by:
zy +
x
,
yx
|