Finite Group Databasebeta

← Group #150760

Character table — Group #150760

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222444444488888888888888888161616161616161616323232323232
order12222244444444422244444488888888488888888444444
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111-1-111111111-1iiii−i−i−i−i-1-1ii−i−i
χ61111111111111111-1-1-1-111-1-111111111-1−i−i−i−iiiii-1-1−i−iii
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1-111-1-111-1-11-11-11-1
χ10111111-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-111-1-1111-1-11-11
χ11111111-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111-111-1-111-1-1-11-11-11
χ12111111-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111-1-1-111-1-111-111-11-1
χ13111111-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-11ii−i−i−i−iii-11i−i−ii
χ14111111-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-11−i−iiiii−i−i-11−iii−i
χ15111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111ii−i−i−i−iii1-1−iii−i
χ16111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111−i−iiiii−i−i1-1i−i−ii
χ17222222222-2-2-2-222222-2-2-2-2-2-200000000200000000000000
χ18222222222-2-2-2-2222-2-222-2-22200000000-200000000000000
χ19222222-2-2-2222222-22222-2-2-2-200000000-200000000000000
χ20222222-2-2-2222222-2-2-2-2-2-2-22200000000200000000000000
χ212-2-222-20002i2i−2i−2i2-202-22i−2i0000000000000i2−i22−2i2−i22−2000000
χ222-2-222-20002i2i−2i−2i2-202-22i−2i0000000000000−i2i2−22−i2i2−22000000
χ232-2-222-20002i2i−2i−2i2-20-22−2i2i00000000000002−2−i2i2−22i2−i2000000
χ242-2-222-20002i2i−2i−2i2-20-22−2i2i0000000000000−22i2−i22−2−i2i2000000
χ252-2-222-2000−2i−2i2i2i2-202-2−2i2i0000000000000i2−i2−22i2−i2−22000000
χ262-2-222-2000−2i−2i2i2i2-202-2−2i2i0000000000000−i2i22−2−i2i22−2000000
χ272-2-222-2000−2i−2i2i2i2-20-222i−2i00000000000002−2i2−i2−22−i2i2000000
χ282-2-222-2000−2i−2i2i2i2-20-222i−2i0000000000000−22−i2i22−2i2−i2000000
χ294444444440000-4-4-40000000000000000000000000000000
χ30444444-4-4-40000-4-440000000000000000000000000000000
χ314444-4-444-400000000000000022-2-222-2-2000000000000000
χ324444-4-444-4000000000000000-2-222-2-222000000000000000
χ334444-4-4-4-4400000000000000022-2-2-2-222000000000000000
χ344444-4-4-4-44000000000000000-2-22222-2-2000000000000000
χ354-44-4004i−4i02i−2i2i−2i00000002-2000022−22002i2−2i2000000000000000
χ364-44-4004i−4i02i−2i2i−2i00000002-20000−222200−2i22i2000000000000000
χ374-44-4004i−4i0−2i2i−2i2i0000000-220022−22002i2−2i200000000000000000
χ384-44-4004i−4i0−2i2i−2i2i0000000-2200−222200−2i22i200000000000000000
χ394-44-400−4i4i02i−2i2i−2i0000000-220022−2200−2i22i200000000000000000
χ404-44-400−4i4i02i−2i2i−2i0000000-2200−2222002i2−2i200000000000000000
χ414-44-400−4i4i0−2i2i−2i2i00000002-2000022−2200−2i22i2000000000000000
χ424-44-400−4i4i0−2i2i−2i2i00000002-20000−2222002i2−2i2000000000000000
χ434-4-444-40000000-4400000004i−4i00000000000000000000000
χ444-4-444-40000000-440000000−4i4i00000000000000000000000
χ4588-8-8000004-4-440000000000000000000000000000000000
χ4688-8-800000-444-40000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).