Finite Group Databasebeta

← Group #274207

Character table — Group #274207

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222444444444444444444444444888888888888888881616161616161616161616163232
order12222222444444442244444444444444888888884444488888888888844448888888844
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
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ91111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ101111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11
χ111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-11
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-11
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1111111-1-1-1-111-1-111-1-111-1-1-11
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1
χ172222222222-2-22-2-2222222222-2-2-2-2-2-2-2-20000000022-2-2-200000000000000000000000000
χ182222222222-2-22-2-222222-2-2-2-22222-2-2-2-200000000-2-222-200000000000000000000000000
χ192222222222-2-22-2-22-2-2-2-22222-2-2-2-2-2-22200000000-2-222200000000000000000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-2-2-22222-2-2220000000022-2-2200000000000000000000000000
χ2122222222-2-222-222-222-2-200000000-2-2-2-22222-2-2-2-200002-2-2220000000000000000000000
χ2222222222-2-222-222-222-2-200000000-2-2-2-2-2-2-2-222220000222-2-20000000000000000000000
χ2322222222-2-222-222-2-2-22200000000-2-222222222220000-2-2-2-2-20000000000000000000000
χ2422222222-2-222-222-2-2-22200000000-2-222-2-2-2-2-2-2-2-20000-222220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2000000002222000000000000-200002i2i−2i−2i2i2i−2i−2i00000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2000000002222000000000000-20000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2220000000022-2-2000000000000200002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2220000000022-2-200000000000020000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292222-2-2-2-22200-200-22-22-222-2-20000000022−2−222−2−22-20002−22−22−22−22−22−200000000000000
χ302222-2-2-2-22200-200-22-22-222-2-200000000−2−222−2−2222-2000−22−22−22−22−22−2200000000000000
χ312222-2-2-2-22200-200-22-22-2-2-2220000000022−2−222−2−2-220002−22−2−22−22−22−2200000000000000
χ322222-2-2-2-22200-200-22-22-2-2-22200000000−2−222−2−222-22000−22−222−22−22−22−200000000000000
χ332222-2-2-2-22200-200-2-22-2222-2-20000000022−2−2−2−222-220002−2−222−22−2−22−2200000000000000
χ342222-2-2-2-22200-200-2-22-2222-2-200000000−2−22222−2−2-22000−222−2−22−222−22−200000000000000
χ352222-2-2-2-22200-200-2-22-22-2-2220000000022−2−2−2−2222-20002−2−22−22−222−22−200000000000000
χ362222-2-2-2-22200-200-2-22-22-2-22200000000−2−22222−2−22-2000−222−22−22−2−22−2200000000000000
χ372222-2-2-2-2-2-20020022-2-2200002i2i−2i−2i000022−2−2−2−222002i−2i0−222−2i2−i2−i2i2i2−i2−i2i200000000000000
χ382222-2-2-2-2-2-20020022-2-2200002i2i−2i−2i0000−2−22222−2−2002i−2i02−2−22−i2i2i2−i2−i2i2i2−i200000000000000
χ392222-2-2-2-2-2-20020022-2-220000−2i−2i2i2i000022−2−2−2−22200−2i2i0−222−2−i2i2i2−i2−i2i2i2−i200000000000000
χ402222-2-2-2-2-2-20020022-2-220000−2i−2i2i2i0000−2−22222−2−200−2i2i02−2−22i2−i2−i2i2i2−i2−i2i200000000000000
χ412222-2-2-2-2-2-2002002-222-200002i2i−2i−2i000022−2−222−2−200−2i2i0−22−22i2−i2−i2i2−i2i2i2−i200000000000000
χ422222-2-2-2-2-2-2002002-222-200002i2i−2i−2i0000−2−222−2−22200−2i2i02−22−2−i2i2i2−i2i2−i2−i2i200000000000000
χ432222-2-2-2-2-2-2002002-222-20000−2i−2i2i2i000022−2−222−2−2002i−2i0−22−22−i2i2i2−i2i2−i2−i2i200000000000000
χ442222-2-2-2-2-2-2002002-222-20000−2i−2i2i2i0000−2−222−2−222002i−2i02−22−2i2−i2−i2i2−i2i2i2−i200000000000000
χ4522-2-2-22-222-22-222-2-200002i−2i2i−2i2i−2i2i−2i2-2000000000000000000000000000002-200002i−2i0000
χ4622-2-2-22-222-22-222-2-200002i−2i2i−2i2i−2i2i−2i2-200000000000000000000000000000-220000−2i2i0000
χ4722-2-2-22-222-22-222-2-20000−2i2i−2i2i−2i2i−2i2i2-2000000000000000000000000000002-20000−2i2i0000
χ4822-2-2-22-222-22-222-2-20000−2i2i−2i2i−2i2i−2i2i2-200000000000000000000000000000-2200002i−2i0000
χ4922-2-2-22-222-2-222-22-200002i−2i2i−2i−2i2i−2i2i-220000000000000000000000000002-200002i−2i000000
χ5022-2-2-22-222-2-222-22-200002i−2i2i−2i−2i2i−2i2i-22000000000000000000000000000-220000−2i2i000000
χ5122-2-2-22-222-2-222-22-20000−2i2i−2i2i2i−2i2i−2i-220000000000000000000000000002-20000−2i2i000000
χ5222-2-2-22-222-2-222-22-20000−2i2i−2i2i2i−2i2i−2i-22000000000000000000000000000-2200002i−2i000000
χ5344-4-44-44-44-400-400400004i−4i−4i4i00000000000000000000000000000000000000000000000
χ5444-4-44-44-44-400-40040000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ5544-4-44-44-4-4400400-4000000004-4-440000000000000000000000000000000000000000000
χ5644-4-44-44-4-4400400-400000000-444-40000000000000000000000000000000000000000000
χ5744-4-4-44-44-444-4-44-44000000000000-4400000000000000000000000000000000000000000
χ5844-4-4-44-44-44-44-4-4440000000000004-400000000000000000000000000000000000000000
χ594-44-44-4-44004-40-440000000000000000000004i−4i4i−4i0000000000000000000000000000000
χ604-44-44-4-44004-40-44000000000000000000000−4i4i−4i4i0000000000000000000000000000000
χ614-44-44-4-4400-4404-4000000000000000004i−4i4i−4i00000000000000000000000000000000000
χ624-44-44-4-4400-4404-400000000000000000−4i4i−4i4i00000000000000000000000000000000000
χ634-44-4-444-400000000000000000000004-42i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000
χ644-44-4-444-400000000000000000000004-4−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000
χ654-44-4-444-40000000000000000000000-442i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000
χ664-44-4-444-40000000000000000000000-44−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000
χ674-4-44-4-44400440-4-400000000000000000000000000000000000000000000002i2−2i200000000
χ684-4-44-4-44400440-4-40000000000000000000000000000000000000000000000−2i22i200000000
χ694-4-44-4-44400-4-4044000000000000000000000000000000000000000000000000000022−2200
χ704-4-44-4-44400-4-40440000000000000000000000000000000000000000000000000000−222200
χ718-8-8888-8-8000000000000000000000000000000000000000000000000000000000000000

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