Finite Group Databasebeta

← Group #328476

Character table — Group #328476

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444444444448888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-111111-1-1-1-11111-1-111-1-111-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ1011111111111-1-1-1-111111-1-1-1-11111-1-111-1-111-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ1111111111111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-111-1-1-1111111-1-1-1-111-1-111-1-1-1-111-11
χ1211111111111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-11111-1-11-1
χ1311111111111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-11
χ1411111111111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1111-1
χ1511111111111-1-1-1-111111-1-1-1-111-1-111-1-111-1-111-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1
χ1611111111111-1-1-1-111111-1-1-1-111-1-111-1-111-1-111-1-1-111-1-1-1-11111-1-11111-1-111-1-1-11
χ17222222222222222-2-2-22-222-2-2-2-22222-2-2-2-20000-200000000000000000000000000
χ18222222222222222-2-2-22-222-2-2-2-2-2-2-2-222220000-200000000000000000000000000
χ1922222222222-2-2-2-2-2-2-22-2-2-222-2-222-2-2-2-2220000200000000000000000000000000
χ2022222222222-2-2-2-2-2-2-22-2-2-222-2-2-2-22222-2-20000200000000000000000000000000
χ2122222222-2-2-22222222-22-2-222-2-2000000002222-2-2-2-2-20000000000000000000000
χ2222222222-2-2-22222222-22-2-222-2-200000000-2-2-2-2-222220000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2-2-22200000000000020000000000002-22-20000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-2220000000000002000000000000-22-220000000000
χ2522222222-2-2-2-2-2-2-2222-2222-2-2-2-20000000022-2-22-2-2220000000000000000000000
χ2622222222-2-2-2-2-2-2-2222-2222-2-2-2-200000000-2-222222-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000-20000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000-2000000000000-222-20000000000
χ292222-2-2-2-222-222-2-2000-202-200002-22-2000000000000022−2−222−2−200002−22−2000000
χ302222-2-2-2-222-222-2-2000-202-200002-22-20000000000000−2−222−2−2220000−22−22000000
χ312222-2-2-2-222-222-2-2000-202-20000-22-22000000000000022−2−222−2−20000−22−22000000
χ322222-2-2-2-222-222-2-2000-202-20000-22-220000000000000−2−222−2−22200002−22−2000000
χ332222-2-2-2-222-2-2-222000-20-2200002-2-22000000000000022−2−2−2−22200002−2−22000000
χ342222-2-2-2-222-2-2-222000-20-2200002-2-220000000000000−2−22222−2−20000−222−2000000
χ352222-2-2-2-222-2-2-222000-20-220000-222-2000000000000022−2−2−2−2220000−222−2000000
χ362222-2-2-2-222-2-2-222000-20-220000-222-20000000000000−2−22222−2−200002−2−22000000
χ372-2-2222-2-20002-22-22-2-202002-20000000000000002i−2i2i−2i2−22−22−22−200000000i2−i2i2−i200
χ382-2-2222-2-20002-22-22-2-202002-20000000000000002i−2i2i−2i−22−22−22−2200000000−i2i2−i2i200
χ392-2-2222-2-20002-22-22-2-202002-2000000000000000−2i2i−2i2i2−22−22−22−200000000−i2i2−i2i200
χ402-2-2222-2-20002-22-22-2-202002-2000000000000000−2i2i−2i2i−22−22−22−2200000000i2−i2i2−i200
χ412-2-2222-2-2000-22-222-2-20200-220000000000000002i−2i−2i2i2−22−2−22−2200000000i2−i2−i2i200
χ422-2-2222-2-2000-22-222-2-20200-220000000000000002i−2i−2i2i−22−222−22−200000000−i2i2i2−i200
χ432-2-2222-2-2000-22-222-2-20200-22000000000000000−2i2i2i−2i2−22−2−22−2200000000−i2i2i2−i200
χ442-2-2222-2-2000-22-222-2-20200-22000000000000000−2i2i2i−2i−22−222−22−200000000i2−i2−i2i200
χ454444-4-4-4-4-4-4444-4-400040-440000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-44-4-444000404-40000000000000000000000000000000000000000000
χ4744-4-44-44-4000000044-40-400000000000000004-4000000000000000000000000000
χ4844-4-44-44-4000000044-40-40000000000000000-44000000000000000000000000000
χ4944-4-44-44-40000000-4-4404000000000000004i−4i00000000000000000000000000000
χ5044-4-44-44-40000000-4-440400000000000000−4i4i00000000000000000000000000000
χ514-44-44-4-444-4400004-44-4-400004-4000000000000000000000000000000000000000
χ524-44-44-4-444-440000-44-4-440000-44000000000000000000000000000000000000000
χ534-44-44-4-44-44-400004-444-40000-44000000000000000000000000000000000000000
χ544-44-44-4-44-44-40000-44-44400004-4000000000000000000000000000000000000000
χ554-44-4-444-44-4-400000004000000000004i−4i000000000000000000000000000000000
χ564-44-4-444-44-4-40000000400000000000−4i4i000000000000000000000000000000000
χ574-44-4-444-4-4440000000-400000000000004-40000000000000000000000000000000
χ584-44-4-444-4-4440000000-40000000000000-440000000000000000000000000000000
χ594-4-4444-4-40004-44-4-4440-400-4400000000000000000000000000000000000000000
χ604-4-4444-4-4000-44-44-4440-4004-400000000000000000000000000000000000000000
χ614-4-44-4-4440004-4-4400000000000000000000000000002-2-222-2-2200000000000000
χ624-4-44-4-4440004-4-440000000000000000000000000000-222-2-222-200000000000000
χ634-4-44-4-444000-444-400000000000000000000000000002-2-22-222-200000000000000
χ644-4-44-4-444000-444-40000000000000000000000000000-222-22-2-2200000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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