Finite Group Databasebeta

← Group #262874

Character table — Group #262874

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222244444444444444888888888888888888888816161616161616161616161616161616
order12222222444444442244448888888844444444448888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-11111-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ172222222222-2-2-222-22222-2-20000000022-2-222-2-2-2-20000000000000000000000000000
χ182222222222-2-2-222-22222-2-200000000-2-222-2-2-222-20000000000000000000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-20000000022-2-2-2-222220000000000000000000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-200000000-2-222222-2-220000000000000000000000000000
χ2122222222-2-2222-2-2222-2-2-2-22222-2-2-2-2000000-2002-2-200002200000000000000000000
χ2222222222-2-2222-2-2222-2-2-2-2-2-2-2-22222000000-2002220000-2-200000000000000000000
χ2322222222-2-2222-2-22-2-222-2-22222-2-2-2-2000000200-2220000-2-200000000000000000000
χ2422222222-2-2222-2-22-2-222-2-2-2-2-2-22222000000200-2-2-200002200000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200000000000000200-2002i2i−2i−2i002i2i−2i−2i0000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200000000000000200-200−2i−2i2i2i00−2i−2i2i2i0000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200000000000000-2002002i2i−2i−2i00−2i−2i2i2i0000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200000000000000-200200−2i−2i2i2i002i2i−2i−2i0000000000000000
χ2922-22-22-2-222000-2-202-22-20022−2−222−2−22-2002-200002−22−22−22−22−22−20000000000000000
χ3022-22-22-2-222000-2-202-22-20022−2−222−2−2-2200-2200002−2−22−222−2−22−220000000000000000
χ3122-22-22-2-222000-2-202-22-200−2−222−2−2222-2002-20000−22−22−22−22−22−220000000000000000
χ3222-22-22-2-222000-2-202-22-200−2−222−2−222-2200-220000−222−22−2−222−22−20000000000000000
χ3322-22-22-2-222000-2-20-22-220022−2−222−2−22-200-220000−222−22−2−22−22−220000000000000000
χ3422-22-22-2-222000-2-20-22-220022−2−222−2−2-22002-20000−22−22−22−222−22−20000000000000000
χ3522-22-22-2-222000-2-20-22-2200−2−222−2−2222-200-2200002−2−22−222−22−22−20000000000000000
χ3622-22-22-2-222000-2-20-22-2200−2−222−2−222-22002-200002−22−22−22−2−22−220000000000000000
χ3722-22-22-2-2-2-20002202-2-220022−2−2−2−222002i−2i0002i−2i0−22i2−i2−i2i22−2i2−i2−i2i20000000000000000
χ3822-22-22-2-2-2-20002202-2-220022−2−2−2−22200−2i2i000−2i2i0−22−i2i2i2−i22−2−i2i2i2−i20000000000000000
χ3922-22-22-2-2-2-20002202-2-2200−2−22222−2−2002i−2i0002i−2i02−2−i2i2i2−i2−22−i2i2i2−i20000000000000000
χ4022-22-22-2-2-2-20002202-2-2200−2−22222−2−200−2i2i000−2i2i02−2i2−i2−i2i2−22i2−i2−i2i20000000000000000
χ4122-22-22-2-2-2-2000220-222-20022−2−2−2−222002i−2i000−2i2i02−2i2−i2−i2i2−22−i2i2i2−i20000000000000000
χ4222-22-22-2-2-2-2000220-222-20022−2−2−2−22200−2i2i0002i−2i02−2−i2i2i2−i2−22i2−i2−i2i20000000000000000
χ4322-22-22-2-2-2-2000220-222-200−2−22222−2−2002i−2i000−2i2i0−22−i2i2i2−i22−2i2−i2−i2i20000000000000000
χ4422-22-22-2-2-2-2000220-222-200−2−22222−2−200−2i2i0002i−2i0−22i2−i2−i2i22−2−i2i2i2−i20000000000000000
χ452-2-2-2-22222-2-22-22-2200002-22-22-22-22-20000000000000000000000002-2002-200000000
χ462-2-2-2-22222-2-22-22-2200002-22-22-22-22-2000000000000000000000000-2200-2200000000
χ472-2-2-2-22222-2-22-22-2200002-2-22-22-22-220000000000000000000000002-200-2200000000
χ482-2-2-2-22222-2-22-22-2200002-2-22-22-22-22000000000000000000000000-22002-200000000
χ492-2-2-2-2222-22-22-2-2220000-222-22-2-22-2200000000000000000000002-2002-20000000000
χ502-2-2-2-2222-22-22-2-2220000-222-22-2-22-220000000000000000000000-2200-220000000000
χ512-2-2-2-2222-22-22-2-2220000-22-22-222-22-200000000000000000000002-200-220000000000
χ522-2-2-2-2222-22-22-2-2220000-22-22-222-22-20000000000000000000000-22002-20000000000
χ53444-4-4-4-44004-4-4004000000000000000000000000000000000000000000000000002i2−2i2
χ54444-4-4-4-44004-4-400400000000000000000000000000000000000000000000000000−2i22i2
χ55444-4-4-4-4400-44400-40000000000000000000000000000000000000000000000002i2−2i200
χ56444-4-4-4-4400-44400-4000000000000000000000000000000000000000000000000−2i22i200
χ574-44-444-4-44-4000-44000000022−22−222222−22−222200000000000000000000000000000000000000
χ584-44-444-4-44-4000-440000000−222222−22−222222−2200000000000000000000000000000000000000
χ594-44-444-4-4-440004-4000000022−22−2222−222222−2200000000000000000000000000000000000000
χ604-44-444-4-4-440004-40000000−222222−2222−22−222200000000000000000000000000000000000000
χ614-4-444-4-440044-400-4000000000000000000000000000000000000000000002i2−2i2000000
χ624-4-444-4-440044-400-400000000000000000000000000000000000000000000−2i22i2000000
χ634-4-444-4-4400-4-44004000000000000000000000000000000000000000000000022−220000
χ644-4-444-4-4400-4-440040000000000000000000000000000000000000000000000−22220000
χ654-4-4-4-44444-44-444-4-40000-440000000000000000000000000000000000000000000000
χ664-4-4-4-4444-444-44-44-400004-40000000000000000000000000000000000000000000000
χ6788-8-88-88-8000000000000000000000000000000000000000000000000000000000000
χ688-888-8-88-8000000000000000000000000000000000000000000000000000000000000

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