Inflations

Maximal quotient group Q number 1

The kernel of the quotient map is generated by: g6

Q is isomorphic to the Group of order 32 number 35

Generator of the cohomology of Q Image under inflation

z y

y z

x y + x

w y2

v yv + u

The kernel of the inflation to G of the cohomology of Q is generated by: zy + y2 + w , yw

Maximal quotient group Q number 2

The kernel of the quotient map is generated by: g4 g5

Q is isomorphic to the Group of order 32 number 26

Generator of the cohomology of Q Image under inflation

z z + y + x

y y + x

x z + y

w yw + yv + t

The kernel of the inflation to G of the cohomology of Q is generated by:
z2 + zx + y2 + yx + x2		x3

Maximal quotient group Q number 3

The kernel of the quotient map is generated by: g4 g5 g6

Q is isomorphic to the Group of order 32 number 26

Generator of the cohomology of Q Image under inflation

z z + y + x

y y + x

x y

w yw + yv + u + t

The kernel of the inflation to G of the cohomology of Q is generated by:
z2 + zx + y2 + yx + x2		x3