Group order: 32 Group number: 8 Group description: C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) Cohomology generators Degree 1: a, b Degree 2: c, d Degree 3: e Degree 5: f, g Degree 6: h Degree 8: p Cohomology relations 1: f^2 2: c*h+e*f 3: c*f 4: b*h+c*g 5: b*e+c*d 6: a*h 7: a*g 8: a*f+b*f 9: a*e+c^2 10: a*c 11: a*b 12: a^2 13: h^3 14: f*h^2 15: e*h^2 16: e*f*h 17: e^2*h 18: e^2*f 19: e^3 20: d*f*h+e*f*g 21: d*e*h+e^2*g+f*h 22: d^2*h+d*e*f+d*e*g+f*g 23: c*g^2+d*f*g+h^2 24: c*e*g+d*e*f 25: c*e^2 26: c^2*g 27: c^2*e 28: c^2*d+b*f 29: c^3 30: b*c*g+e*f 31: b*c*d+c*e 32: b*c^2 33: b^2*g+d*f 34: b^2*c+c^2 35: b^3+a*d 36: c*d^2*g+d^3*f+e^2*g 37: c*d^2*e+c*d*g+d^2*f+e*h 38: c*d^3+d*e^2+d*h+e*f+e*g 39: c^2*d^2 40: b^2*d^2+c*d^2+b*f+e^2 41: b^3*d 42: b^4 43: d^3*e*f+d*h^2+e*g*h 44: d^3*e^2+d^2*e*f+c^2*p+h^2 45: d^4*f+d*g*h+e*f*g+e*g^2 46: d^4*e+b*c*p+e^2*g+g*h 47: d^5+b*d^2*g+b^2*p+f*g+g^2 48: d^3*e^2*g+d^2*e*f*g+g*h^2 49: d^4*e*g+e^2*g^2+e*f*p+g^2*h 50: d^5*g+b*d^2*g^2+d*f*p+f*g^2+g^3 51: d^5*e+d*e^2*g+c*e*p+d*g*h 52: d^5*e^2+e^2*g^2+f*g*h 53: d^7+b*d^4*g+d^4*e^2+c*d^2*p+d^2*f*g+d^2*g^2+e^2*p+e*g*h 54: b*d^6+b*d*g^2+d*g*h+e*f*g+e*g^2 55: d^7*e+d^2*e*g^2+c*d*g*p+d^2*f*p+d*f*g^2+e*h*p+g*h^2 56: d^8+d^3*g^2+b*g^3+d*h*p+e*f*p+e*g*p 57: d^8*e+d^3*e*g^2+d^2*f*g^2+d*g*h^2+f*h*p 58: d^10+f*g^3+g^4 Steenrod squares Sq^1(c)=0 Sq^1(d)=b*b*b+d*b Sq^1(e)=c*b*b Sq^2(e)=e*d+f Sq^1(f)=