Finite Group Databasebeta

← Group #324488

Character table — Group #324488

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444444448888888822444444448888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111111111111111-1-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11
χ91111111111111111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ111111111111111111-1-1-1-11111111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ121111111111111111-1-1-1-11111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-11-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-11-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-11111-1-1-1-1-1-111-11-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111111111-1-1-1-111-1-11-11-1
χ1722222222222-2-2-2-2222-2-2-2-22222-2-2-2-20020000-20022-2-2000000000000000000000000
χ1822222222222-2-2-2-2222-2-2-2-2-2-2-2-222220020000-200-2-222000000000000000000000000
χ1922222222222-2-2-2-22-2-222-2-22222-2-2-2-200-20000200-2-222000000000000000000000000
χ2022222222222-2-2-2-22-2-222-2-2-2-2-2-2222200-2000020022-2-2000000000000000000000000
χ2122222222-2-2-22222-22222-2-20000000022-2-2-2-2-2-2220000000000000000000000000000
χ2222222222-2-2-22222-22222-2-200000000-2-2-22222-2-2-20000000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-200000000222-2-2222-2-20000000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-200000000-2-2222-2-22220000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000000000-200002000000000000002i2i−2i−2i2i2i−2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000000000-20000200000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000000020000-2000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000000000020000-200000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ2922-22-22-2-200022-2-202i−2i2i−2i0022−2−222−2−20002i−2i2-2000i2−i2i2−i200000000i2−i2i2−i22−22−200000000
χ3022-22-22-2-200022-2-202i−2i2i−2i0022−2−222−2−2000−2i2i-22000i2−i2i2−i200000000−i2i2−i2i2−22−2200000000
χ3122-22-22-2-200022-2-202i−2i2i−2i00−2−222−2−2220002i−2i2-2000−i2i2−i2i200000000−i2i2−i2i2−22−2200000000
χ3222-22-22-2-200022-2-202i−2i2i−2i00−2−222−2−222000−2i2i-22000−i2i2−i2i200000000i2−i2i2−i22−22−200000000
χ3322-22-22-2-200022-2-20−2i2i−2i2i0022−2−222−2−20002i−2i-22000−i2i2−i2i200000000i2−i2i2−i2−22−2200000000
χ3422-22-22-2-200022-2-20−2i2i−2i2i0022−2−222−2−2000−2i2i2-2000−i2i2−i2i200000000−i2i2−i2i22−22−200000000
χ3522-22-22-2-200022-2-20−2i2i−2i2i00−2−222−2−2220002i−2i-22000i2−i2i2−i200000000−i2i2−i2i22−22−200000000
χ3622-22-22-2-200022-2-20−2i2i−2i2i00−2−222−2−222000−2i2i2-2000i2−i2i2−i200000000i2−i2i2−i2−22−2200000000
χ3722-22-22-2-2000-2-22202i−2i−2i2i0022−2−2−2−2222-20000002i−2ii2−i2−i2i2000000002−2−22−i2i2i2−i200000000
χ3822-22-22-2-2000-2-22202i−2i−2i2i0022−2−2−2−222-22000000−2i2ii2−i2−i2i200000000−222−2i2−i2−i2i200000000
χ3922-22-22-2-2000-2-22202i−2i−2i2i00−2−22222−2−22-20000002i−2i−i2i2i2−i200000000−222−2i2−i2−i2i200000000
χ4022-22-22-2-2000-2-22202i−2i−2i2i00−2−22222−2−2-22000000−2i2i−i2i2i2−i2000000002−2−22−i2i2i2−i200000000
χ4122-22-22-2-2000-2-2220−2i2i2i−2i0022−2−2−2−2222-2000000−2i2i−i2i2i2−i2000000002−2−22i2−i2−i2i200000000
χ4222-22-22-2-2000-2-2220−2i2i2i−2i0022−2−2−2−222-220000002i−2i−i2i2i2−i200000000−222−2−i2i2i2−i200000000
χ4322-22-22-2-2000-2-2220−2i2i2i−2i00−2−22222−2−22-2000000−2i2ii2−i2−i2i200000000−222−2−i2i2i2−i200000000
χ4422-22-22-2-2000-2-2220−2i2i2i−2i00−2−22222−2−2-220000002i−2ii2−i2−i2i2000000002−2−22i2−i2−i2i200000000
χ452-2-222-2-2222-22-22-2-200002-22i−2i2i−2i2i−2i2i−2i00000000000000000022-2-200000000002i−2i0000
χ462-2-222-2-2222-22-22-2-200002-22i−2i2i−2i2i−2i2i−2i000000000000000000-2-2220000000000−2i2i0000
χ472-2-222-2-2222-22-22-2-200002-2−2i2i−2i2i−2i2i−2i2i00000000000000000022-2-20000000000−2i2i0000
χ482-2-222-2-2222-22-22-2-200002-2−2i2i−2i2i−2i2i−2i2i000000000000000000-2-22200000000002i−2i0000
χ492-2-222-2-2222-2-22-22-20000-222i−2i2i−2i−2i2i−2i2i0000000000000022-2-20000000000002i−2i000000
χ502-2-222-2-2222-2-22-22-20000-222i−2i2i−2i−2i2i−2i2i00000000000000-2-222000000000000−2i2i000000
χ512-2-222-2-2222-2-22-22-20000-22−2i2i−2i2i2i−2i2i−2i0000000000000022-2-2000000000000−2i2i000000
χ522-2-222-2-2222-2-22-22-20000-22−2i2i−2i2i2i−2i2i−2i00000000000000-2-2220000000000002i−2i000000
χ53444-44-4-4-44-440000-4000000000000000000000000000022−2222−2200000000000000000000
χ54444-44-4-4-44-440000-40000000000000000000000000000−2222−222200000000000000000000
χ55444-44-4-4-4-44-400004000000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ56444-44-4-4-4-44-40000400000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ574-444-4-44-40004-4-4400000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ584-444-4-44-40004-4-440000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ594-444-4-44-4000-444-400000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ604-444-4-44-4000-444-40000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ614-4-444-4-44-4-444-44-440000-440000000000000000000000000000000000000000000000
χ624-4-444-4-44-4-44-44-44400004-40000000000000000000000000000000000000000000000
χ634-4-4-4444-44-4-400004000000000000000000000000000022−22−222200000000000000000000
χ644-4-4-4444-44-4-4000040000000000000000000000000000−222222−2200000000000000000000
χ654-4-4-4444-4-4440000-4000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ664-4-4-4444-4-4440000-400000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ6788-8-8-8-888000000000000000000000000000000000000000000000000000000000000
χ688-88-8-88-88000000000000000000000000000000000000000000000000000000000000

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