| Inflations |
| Maximal quotient group Q number 1 | |||
| The kernel of the quotient map is generated by: g5 | |||
| Q is isomorphic to the Group of order 32 number 42 |
Generator of the cohomology of Q  Image under
inflation | |||
|
z
y +
x
| |||
|
y
z
| |||
|
x
z +
x +
w
| |||
|
w
y +
x +
w
| |||
|
v
w2
v +
wu +
s
|
| The kernel of the inflation to G of the cohomology of Q is generated by: | |||
| zy + y2 + yw + x2 + xw |
| Maximal quotient group Q number 2 | |||
| The kernel of the quotient map is generated by: g6 | |||
| Q is isomorphic to the Group of order 32 number 8 |
|
Generator of the cohomology of Q Image under
inflation | |||
|
z
y +
x
| |||
|
y
w
| |||
|
x
z
| |||
|
w
x
| |||
|
v
v
|
| The kernel of the inflation to G of the cohomology of Q is generated by: zy + zx + yw , yxw |
| Maximal quotient group Q number 3 | |||
| The kernel of the quotient map is generated by: g5 g6 | |||
| Q is isomorphic to the Group of order 32 number 42 |
|
Generator of the cohomology of Q Image under
inflation | |||
|
z
z +
y
| |||
|
y
x
| |||
|
x
x +
w
| |||
|
w
z
| |||
|
v
z2
v +
zwv +
zu +
ywv +
xwv +
v2
+
s
|
| The kernel of the inflation to G of the cohomology of Q is generated by: zy + yw |