Finite Group Databasebeta

← Group #267201

Character table — Group #267201

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222444444444444444444444444888888888888888881616161616161616161616163232
order12222222444444442222224444444444888888884444488888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ611111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11
χ711111111111111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-11
χ811111111111111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-11-1
χ91111111111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ101111111111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1
χ121111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-11
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11111-1-1111111-1-1-1-111-1-111-1-111-1-1-11
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11111-1-1111111-1-1-1-1-1-111-1-111-1-1111-1
χ172222222222-2-22-2-22222222-2-2-2-222-2-2-2-200000000-222-2-200000000000000000000000000
χ182222222222-2-22-2-222222-2-2-2-2-2-2-2-2-2-222000000002-2-22200000000000000000000000000
χ192222222222-2-22-2-22-2-2-2-222222222-2-2-2-200000000-2-2-22200000000000000000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-22222-2-2-2-22200000000222-2-200000000000000000000000000
χ2122222222-2-222-222-20000220000-2-2-2-2-2-22222-2-2-2-220000-2-2220000000000000000000000
χ2222222222-2-222-222-20000220000-2-2-2-2-2-2-2-2-2-222222000022-2-20000000000000000000000
χ2322222222-2-222-222-20000-2-2000022-2-22222222222-20000-2-2-2-20000000000000000000000
χ2422222222-2-222-222-20000-2-2000022-2-222-2-2-2-2-2-2-2-2-2000022220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-20000220000-2-2222200000000-2000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ2622222222-2-2-2-2-2-2-2-20000220000-2-2222200000000-200000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-200002222-2-2000000002000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-200002222-2-200000000200000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ29222-22-2-2-22200-200-222-2-22-200002-2000022−2−222−2−202-2002−22−22−22−22−22−200000000000000
χ30222-22-2-2-22200-200-222-2-22-200002-20000−2−222−2−22202-200−22−22−22−22−22−2200000000000000
χ31222-22-2-2-22200-200-222-2-2-220000-22000022−2−2−2−2220-22002−2−222−22−2−22−2200000000000000
χ32222-22-2-2-22200-200-222-2-2-220000-220000−2−22222−2−20-2200−222−2−22−222−22−200000000000000
χ33222-22-2-2-22200-200-2-2-2222-200002-2000022−2−222−2−20-22002−22−2−22−22−22−2200000000000000
χ34222-22-2-2-22200-200-2-2-2222-200002-20000−2−222−2−2220-2200−22−222−22−22−22−200000000000000
χ35222-22-2-2-22200-200-2-2-222-220000-22000022−2−2−2−22202-2002−2−22−22−222−22−200000000000000
χ36222-22-2-2-22200-200-2-2-222-220000-220000−2−22222−2−202-200−222−22−22−2−22−2200000000000000
χ37222-22-2-2-2-2-200200200002-22i2i−2i−2i-22000022−2−2−2−2220002i−2i−222−2i2−i2−i2i2i2−i2−i2i200000000000000
χ38222-22-2-2-2-2-200200200002-22i2i−2i−2i-220000−2−22222−2−20002i−2i2−2−22−i2i2i2−i2−i2i2i2−i200000000000000
χ39222-22-2-2-2-2-200200200002-2−2i−2i2i2i-22000022−2−2−2−222000−2i2i−222−2−i2i2i2−i2−i2i2i2−i200000000000000
χ40222-22-2-2-2-2-200200200002-2−2i−2i2i2i-220000−2−22222−2−2000−2i2i2−2−22i2−i2−i2i2i2−i2−i2i200000000000000
χ41222-22-2-2-2-2-20020020000-222i2i−2i−2i2-2000022−2−222−2−2000−2i2i−22−22i2−i2−i2i2−i2i2i2−i200000000000000
χ42222-22-2-2-2-2-20020020000-222i2i−2i−2i2-20000−2−222−2−222000−2i2i2−22−2−i2i2i2−i2i2−i2−i2i200000000000000
χ43222-22-2-2-2-2-20020020000-22−2i−2i2i2i2-2000022−2−222−2−20002i−2i−22−22−i2i2i2−i2i2−i2−i2i200000000000000
χ44222-22-2-2-2-2-20020020000-22−2i−2i2i2i2-20000−2−222−2−2220002i−2i2−22−2i2−i2−i2i2−i2i2i2−i200000000000000
χ452-2-2-222-222-22-2-22-222-22-2002-22-2002-2000000000000000000000000000002-200002-20000
χ462-2-2-222-222-22-2-22-222-22-2002-22-2002-200000000000000000000000000000-220000-220000
χ472-2-2-222-222-22-2-22-22-22-2200-22-22002-2000000000000000000000000000002-20000-220000
χ482-2-2-222-222-22-2-22-22-22-2200-22-22002-200000000000000000000000000000-2200002-20000
χ492-2-2-222-222-2-22-2-2222-22-200-22-2200-220000000000000000000000000002-200002-2000000
χ502-2-2-222-222-2-22-2-2222-22-200-22-2200-22000000000000000000000000000-220000-22000000
χ512-2-2-222-222-2-22-2-222-22-22002-22-200-220000000000000000000000000002-20000-22000000
χ522-2-2-222-222-2-22-2-222-22-22002-22-200-22000000000000000000000000000-2200002-2000000
χ5344-44-44-4-4004-40-440000000000000000000004-44-40000000000000000000000000000000
χ5444-44-44-4-4004-40-44000000000000000000000-44-440000000000000000000000000000000
χ5544-44-44-4-400-4404-4000000000000000004-44-400000000000000000000000000000000000
χ5644-44-44-4-400-4404-400000000000000000-44-4400000000000000000000000000000000000
χ5744-4-4-4-44400000000000000000000004-422−22−222222−22−22220000000000000000000000000000000
χ5844-4-4-4-44400000000000000000000004-4−222222−22−222222−220000000000000000000000000000000
χ5944-4-4-4-4440000000000000000000000-4422−22−2222−222222−220000000000000000000000000000000
χ6044-4-4-4-4440000000000000000000000-44−222222−2222−22−22220000000000000000000000000000000
χ614-44-4-444-400440-4-4000000000000000000000000000000000000000000000022−2200000000
χ624-44-4-444-400440-4-40000000000000000000000000000000000000000000000−222200000000
χ634-44-4-444-400-4-404400000000000000000000000000000000000000000000000000002i2−2i200
χ644-44-4-444-400-4-40440000000000000000000000000000000000000000000000000000−2i22i200
χ654-4-444-44-44-400400-44-4-44000000000000000000000000000000000000000000000000000
χ664-4-444-44-44-400400-4-444-4000000000000000000000000000000000000000000000000000
χ674-4-444-44-4-4400-40040000004i−4i−4i4i000000000000000000000000000000000000000000000
χ684-4-444-44-4-4400-4004000000−4i4i4i−4i000000000000000000000000000000000000000000000
χ694-4-4-444-44-444-444-4-4000000000000-4400000000000000000000000000000000000000000
χ704-4-4-444-44-44-444-44-40000000000004-400000000000000000000000000000000000000000
χ718-888-8-8-88000000000000000000000000000000000000000000000000000000000000000

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