Finite Group Databasebeta

← Group #262879

Character table — Group #262879

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222244444444444444888888888888888888888816161616161616161616161616161616
order12222222444444444444448888888824444444448888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-1
χ91111111111111111-1-111-1-111111111-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-111-1-111111111-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ111111111111111111-1-111-1-111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ121111111111111111-1-111-1-111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222-2-2222-2-222-2-2-2-22222-2-2-2-22000000-200-2-200002200000000000000000000
χ18222222222-2-2222-2-222-2-2-2-2-2-2-2-222222000000-200220000-2-200000000000000000000
χ19222222222-2-2222-2-2-2-2-2-2222222-2-2-2-2-2000000200220000-2-200000000000000000000
χ20222222222-2-2222-2-2-2-2-2-222-2-2-2-22222-2000000200-2-200002200000000000000000000
χ2122222222-222-2-2-22222-2-22200000000-222-2-222-2-2-20000000000000000000000000000
χ2222222222-222-2-2-22222-2-22200000000-2-2-222-2-2-2220000000000000000000000000000
χ2322222222-222-2-2-222-2-2-2-2-2-200000000222-2-2-2-22220000000000000000000000000000
χ2422222222-222-2-2-222-2-2-2-2-2-2000000002-2-222222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-200000000-2000000200002i2i−2i−2i002i2i−2i−2i0000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-200000000-200000020000−2i−2i2i2i00−2i−2i2i2i0000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000002000000-200002i2i−2i−2i00−2i−2i2i2i0000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000000002000000-20000−2i−2i2i2i002i2i−2i−2i0000000000000000
χ2922-22-2-2-2202-20002-22i−2i002i−2i22−2−222−2−20002i−2i0002-2i2−i2i2−i2i2−i2i2−i22−22−20000000000000000
χ3022-22-2-2-2202-20002-22i−2i002i−2i22−2−222−2−2000−2i2i000-22i2−i2−i2i2−i2i2i2−i2−22−220000000000000000
χ3122-22-2-2-2202-20002-22i−2i002i−2i−2−222−2−2220002i−2i0002-2−i2i2−i2i2−i2i2−i2i2−22−220000000000000000
χ3222-22-2-2-2202-20002-22i−2i002i−2i−2−222−2−222000−2i2i000-22−i2i2i2−i2i2−i2−i2i22−22−20000000000000000
χ3322-22-2-2-2202-20002-2−2i2i00−2i2i22−2−222−2−20002i−2i000-22−i2i2i2−i2i2−i2−i2i2−22−220000000000000000
χ3422-22-2-2-2202-20002-2−2i2i00−2i2i22−2−222−2−2000−2i2i0002-2−i2i2−i2i2−i2i2−i2i22−22−20000000000000000
χ3522-22-2-2-2202-20002-2−2i2i00−2i2i−2−222−2−2220002i−2i000-22i2−i2−i2i2−i2i2i2−i22−22−20000000000000000
χ3622-22-2-2-2202-20002-2−2i2i00−2i2i−2−222−2−222000−2i2i0002-2i2−i2i2−i2i2−i2i2−i2−22−220000000000000000
χ3722-22-2-2-220-22000-222i−2i00−2i2i22−2−2−2−22202-2002i−2i000−i2i22−2−22i2−i2−i2i2i2−i20000000000000000
χ3822-22-2-2-220-22000-222i−2i00−2i2i22−2−2−2−2220-2200−2i2i000−i2i2−222−2i2−i2i2−i2−i2i20000000000000000
χ3922-22-2-2-220-22000-222i−2i00−2i2i−2−22222−2−202-2002i−2i000i2−i2−222−2−i2i2i2−i2−i2i20000000000000000
χ4022-22-2-2-220-22000-222i−2i00−2i2i−2−22222−2−20-2200−2i2i000i2−i22−2−22−i2i2−i2i2i2−i20000000000000000
χ4122-22-2-2-220-22000-22−2i2i002i−2i22−2−2−2−22202-200−2i2i000i2−i22−2−22−i2i2i2−i2−i2i20000000000000000
χ4222-22-2-2-220-22000-22−2i2i002i−2i22−2−2−2−2220-22002i−2i000i2−i2−222−2−i2i2−i2i2i2−i20000000000000000
χ4322-22-2-2-220-22000-22−2i2i002i−2i−2−22222−2−202-200−2i2i000−i2i2−222−2i2−i2−i2i2i2−i20000000000000000
χ4422-22-2-2-220-22000-22−2i2i002i−2i−2−22222−2−20-22002i−2i000−i2i22−2−22i2−i2i2−i2−i2i20000000000000000
χ452-2-2-2-2222-22-22-22-22002-2002-22-22-22-200000000000000000000002-22-2000000000000
χ462-2-2-2-2222-22-22-22-22002-2002-22-22-22-20000000000000000000000-22-22000000000000
χ472-2-2-2-2222-22-22-22-22002-200-22-22-22-2200000000000000000000002-2-22000000000000
χ482-2-2-2-2222-22-22-22-22002-200-22-22-22-220000000000000000000000-222-2000000000000
χ492-2-2-2-2222-2-222-222-200-22002-22-2-22-22000000000000000000000000002-22-200000000
χ502-2-2-2-2222-2-222-222-200-22002-22-2-22-2200000000000000000000000000-22-2200000000
χ512-2-2-2-2222-2-222-222-200-2200-22-222-22-2000000000000000000000000002-2-2200000000
χ522-2-2-2-2222-2-222-222-200-2200-22-222-22-200000000000000000000000000-222-200000000
χ53444-4-44-4-4400-4-44000000000000000000000000000000000000000000000000000022−22
χ54444-4-44-4-4400-4-440000000000000000000000000000000000000000000000000000−2222
χ55444-4-44-4-4-40044-40000000000000000000000000000000000000000000000000022−2200
χ56444-4-44-4-4-40044-400000000000000000000000000000000000000000000000000−222200
χ574-44-44-4-44044000-4-400000022−22−222222−22−222200000000000000000000000000000000000000
χ584-44-44-4-44044000-4-4000000−222222−22−222222−2200000000000000000000000000000000000000
χ594-44-44-4-440-4-40004400000022−22−2222−222222−2200000000000000000000000000000000000000
χ604-44-44-4-440-4-400044000000−222222−2222−22−222200000000000000000000000000000000000000
χ614-4-4444-4-44004-4-4000000000000000000000000000000000000000000000022−22000000
χ624-4-4444-4-44004-4-40000000000000000000000000000000000000000000000−2222000000
χ634-4-4444-4-4-400-4440000000000000000000000000000000000000000000000002i2−2i20000
χ644-4-4444-4-4-400-444000000000000000000000000000000000000000000000000−2i22i20000
χ654-4-4-4-444444-4-44-4-4400-44000000000000000000000000000000000000000000000000
χ664-4-4-4-44444-44-44-44-4004-4000000000000000000000000000000000000000000000000
χ6788-8-88-88-8000000000000000000000000000000000000000000000000000000000000
χ688-888-8-88-8000000000000000000000000000000000000000000000000000000000000

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