Finite Group Databasebeta

← Group #260294

Character table — Group #260294

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422444444444888888888888888844444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111-1-11-1-1-1-111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111
χ71111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111
χ81111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-111-1-1-1-1
χ9111111111111-1-1-1-11111-1-111111-1-11-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1111-1-111-1-1
χ10111111111111-1-1-1-11111-1-111111-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111111-1-111
χ11111111111111-1-1-1-11111-1-111111-1-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-111
χ12111111111111-1-1-1-11111-1-111111-1-11-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-11-1-111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-111
χ172222222222-2-2222222-2-2-2-22222-222-2-2-2-2-2-2220000000000000000000000000000000000
χ182222222222-2-2222222-2-2-2-2-2-2-2-2-222-222-222-2-20000000000000000000000000000000000
χ192222222222-2-2-2-2-2-222-2-2222222-2-2-2-2222-2-2-2-20000000000000000000000000000000000
χ202222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2222220000000000000000000000000000000000
χ2122222222-2-2222222-2-222220000-2-2-2-200-20000222200000000000000000000-200-2000000
χ2222222222-2-2222222-2-222220000-2-2-2-200-20000-2-2-2-2000000000000000000002002000000
χ2322222222-2-222-2-2-2-2-2-222-2-20000-222-2002000022-2-200000000000000000000200-2000000
χ2422222222-2-222-2-2-2-2-2-222-2-20000-222-20020000-2-22200000000000000000000-2002000000
χ2522222222-2-2-2-22222-2-2-2-2-2-200002-2-220020000000000000000000000002-20002-20000000
χ2622222222-2-2-2-22222-2-2-2-2-2-200002-2-22002000000000000000000000000-22000-220000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2220000222200-20000000000000000000000002-2000-220000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2220000222200-2000000000000000000000000-220002-20000000
χ2922-2-2-22-22002-22i2i−2i−2i002-22i−2i0000000000000002i−2i2-222−2−2i2i2−i2−i2i2i2−i2−i222−2−200000000000000
χ3022-2-2-22-22002-22i2i−2i−2i002-22i−2i0000000000000002i−2i2-2−2−222−i2−i2i2i2−i2−i2i2i2−2−22200000000000000
χ3122-2-2-22-22002-22i2i−2i−2i002-22i−2i000000000000000−2i2i-2222−2−2i2i2−i2−i2−i2−i2i2i2−2−22200000000000000
χ3222-2-2-22-22002-22i2i−2i−2i002-22i−2i000000000000000−2i2i-22−2−222−i2−i2i2i2i2i2−i2−i222−2−200000000000000
χ3322-2-2-22-22002-2−2i−2i2i2i002-2−2i2i0000000000000002i−2i-2222−2−2−i2−i2i2i2i2i2−i2−i2−2−22200000000000000
χ3422-2-2-22-22002-2−2i−2i2i2i002-2−2i2i0000000000000002i−2i-22−2−222i2i2−i2−i2−i2−i2i2i222−2−200000000000000
χ3522-2-2-22-22002-2−2i−2i2i2i002-2−2i2i000000000000000−2i2i2-222−2−2−i2−i2i2i2−i2−i2i2i222−2−200000000000000
χ3622-2-2-22-22002-2−2i−2i2i2i002-2−2i2i000000000000000−2i2i2-2−2−222i2i2−i2−i2i2i2−i2−i2−2−22200000000000000
χ372-2-2222-2-22-22200002-2-2-2002i2i−2i−2i-20020002i−2i0000002i−2i2i−2i000000000000002-20000000000
χ382-2-2222-2-22-22200002-2-2-2002i2i−2i−2i-20020002i−2i000000−2i2i−2i2i00000000000000-220000000000
χ392-2-2222-2-22-22200002-2-2-200−2i−2i2i2i-2002000−2i2i0000002i−2i2i−2i00000000000000-220000000000
χ402-2-2222-2-22-22200002-2-2-200−2i−2i2i2i-2002000−2i2i000000−2i2i−2i2i000000000000002-20000000000
χ412-2-2222-2-22-2-2-200002-222002i2i−2i−2i200-2000−2i2i00000000002-22-200000000000000002i−2i0000
χ422-2-2222-2-22-2-2-200002-222002i2i−2i−2i200-2000−2i2i0000000000-22-220000000000000000−2i2i0000
χ432-2-2222-2-22-2-2-200002-22200−2i−2i2i2i200-20002i−2i00000000002-22-20000000000000000−2i2i0000
χ442-2-2222-2-22-2-2-200002-22200−2i−2i2i2i200-20002i−2i0000000000-22-2200000000000000002i−2i0000
χ452-2-22-2-22222002-22-2-2-200002i−2i2i−2i02-20000002i−2i000000000000i2−i2i2−i2i2−i2i2−i200000000002−22−2
χ462-2-22-2-22222002-22-2-2-200002i−2i2i−2i02-20000002i−2i000000000000−i2i2−i2i2−i2i2−i2i20000000000−22−22
χ472-2-22-2-22222002-22-2-2-20000−2i2i−2i2i02-2000000−2i2i000000000000i2−i2i2−i2i2−i2i2−i20000000000−22−22
χ482-2-22-2-22222002-22-2-2-20000−2i2i−2i2i02-2000000−2i2i000000000000−i2i2−i2i2−i2i2−i2i200000000002−22−2
χ492-2-22-2-2222200-22-22-2-200002i−2i2i−2i0-22000000−2i2i000000000000i2−i2i2−i2−i2i2−i2i200000000002−2−22
χ502-2-22-2-2222200-22-22-2-200002i−2i2i−2i0-22000000−2i2i000000000000−i2i2−i2i2i2−i2i2−i20000000000−222−2
χ512-2-22-2-2222200-22-22-2-20000−2i2i−2i2i0-220000002i−2i000000000000i2−i2i2−i2−i2i2−i2i20000000000−222−2
χ522-2-22-2-2222200-22-22-2-20000−2i2i−2i2i0-220000002i−2i000000000000−i2i2−i2i2i2−i2i2−i200000000002−2−22
χ534444-4-4-4-44-4000000-4400004-4-44000000000000000000000000000000000000000000000
χ544444-4-4-4-44-4000000-440000-444-4000000000000000000000000000000000000000000000
χ554444-4-4-4-4-440000004-40000000000004-4000000000000000000000000000000000000000
χ564444-4-4-4-4-440000004-4000000000000-44000000000000000000000000000000000000000
χ5744-4-4-44-4400-444i4i−4i−4i00-44−4i4i0000000000000000000000000000000000000000000000000
χ5844-4-4-44-4400-44−4i−4i4i4i00-444i−4i0000000000000000000000000000000000000000000000000
χ594-44-44-4-4400004i−4i−4i4i0000000000000000000000000000000002-2-22−2i2i2i−2i00000000000000
χ604-44-44-4-4400004i−4i−4i4i000000000000000000000000000000000-222-22i−2i−2i2i00000000000000
χ614-44-44-4-440000−4i4i4i−4i0000000000000000000000000000000002-2-222i−2i−2i2i00000000000000
χ624-44-44-4-440000−4i4i4i−4i000000000000000000000000000000000-222-2−2i2i2i−2i00000000000000
χ634-44-4-444-4004-4000000-440000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ644-44-4-444-4004-4000000-44000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ654-44-4-444-400-440000004-400000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ664-44-4-444-400-440000004-40000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ674-4-4444-4-4-44440000-44-4-4000000400-400000000000000000000000000000000000000000
χ684-4-4444-4-4-44-4-40000-4444000000-400400000000000000000000000000000000000000000
χ694-4-44-4-444-4-4004-44-444000000000-44000000000000000000000000000000000000000000
χ704-4-44-4-444-4-400-44-44440000000004-4000000000000000000000000000000000000000000
χ7188-8-88-88-8000000000000000000000000000000000000000000000000000000000000000

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