Finite Group Databasebeta

← Group #308413

Character table — Group #308413

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-111111111111111-1-11-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111
χ51111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1111-111-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1-1111111-1-1-1
χ91111111111111111-1-1-1-1111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11
χ101111111111111111-1-1-1-1111111-1-111-1-111111111-1-1-1-1111111-1-1-11-1-1-1-111-1-111-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111111-1-1-111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1111-1-1-1-11111-1
χ17222222222-2-2222-2-22222-2-20000-2-200220000-2-200000022000000-2000000000000
χ18222222222-2-2222-2-22222-2-20000-2-200-2-2000022000000-2-20000002000000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-20000220022000022000000-2-2000000-2000000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-200002200-2-20000-2-2000000220000002000000000000
χ2122222222-222-2-2-2220000-2-22222002200-2-2-2-200-2-20000000000000200000000000
χ2222222222-222-2-2-2220000-2-2222200-2-200222200-2-20000000000000-200000000000
χ2322222222-222-2-2-2220000-2-2-2-2-2-2002200-2-22200220000000000000-200000000000
χ2422222222-222-2-2-2220000-2-2-2-2-2-200-2-20022-2-200220000000000000200000000000
χ252-222-22-2-2222-22-2-2-222-2-22-200002-200000000000000000000002-20000002-200000
χ262-222-22-2-2222-22-2-2-222-2-22-200002-20000000000000000000000-22000000-2200000
χ272-222-22-2-2222-22-2-2-2-2-2222-20000-2200000000000000000000002-2000000-2200000
χ282-222-22-2-2222-22-2-2-2-2-2222-20000-220000000000000000000000-220000002-200000
χ292-222-22-2-22-2-2-22-22222-2-2-220000-222i−2i002i−2i000000000000000000002i−2i000000000
χ302-222-22-2-22-2-2-22-22222-2-2-220000-22−2i2i00−2i2i00000000000000000000−2i2i000000000
χ312-222-22-2-22-2-2-22-222-2-222-2200002-22i−2i002i−2i00000000000000000000−2i2i000000000
χ322-222-22-2-22-2-2-22-222-2-222-2200002-2−2i2i00−2i2i000000000000000000002i−2i000000000
χ332-222-22-2-2-2-2-22-222200002-20000002i−2i00−2i2i00000022-2-20000000000002i−2i0000000
χ342-222-22-2-2-2-2-22-222200002-20000002i−2i00−2i2i000000-2-222000000000000−2i2i0000000
χ352-222-22-2-2-2-2-22-222200002-2000000−2i2i002i−2i00000022-2-2000000000000−2i2i0000000
χ362-222-22-2-2-2-2-22-222200002-2000000−2i2i002i−2i000000-2-2220000000000002i−2i0000000
χ372-22-2-2-222-200-222002-22-20022−2−200002-20000002−22−22−22-222−2−200000000002−2000
χ382-22-2-2-222-200-222002-22-20022−2−20000-220000002−22−22−2-22−2−2220000000000−22000
χ392-22-2-2-222-200-222002-22-200−2−22200002-2000000−22−22−222-2−2−2220000000000−22000
χ402-22-2-2-222-200-222002-22-200−2−2220000-22000000−22−22−22-2222−2−200000000002−2000
χ412-22-2-2-222-200-22200-22-220022−2−200002-20000002−2−22−22-22−2−22200000000002−2000
χ422-22-2-2-222-200-22200-22-220022−2−20000-220000002−2−22−222-222−2−20000000000−22000
χ432-22-2-2-222-200-22200-22-2200−2−22200002-2000000−222−22−2-2222−2−20000000000−22000
χ442-22-2-2-222-200-22200-22-2200−2−2220000-22000000−222−22−22-2−2−22200000000002−2000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-4400-4-440000000000000000000000000022−22−2222000000000000000000000
χ47444-44-4-4-4400-4-4400000000000000000000000000−222222−22000000000000000000000
χ48444-44-4-4-4-40044-4004-4-44000000000000000000000000000000000000000000000
χ49444-44-4-4-4-40044-400-444-4000000000000000000000000000000000000000000000
χ5044-4-4-44-4404-40004-400000000000000000000000000000022−2222−22000000000000000
χ5144-4-4-44-4404-40004-4000000000000000000000000000000−2222−2222000000000000000
χ5244-4-4-44-440-44000-440000004-44-4000000000000000000000000000000000000000
χ5344-4-4-44-440-44000-44000000-44-44000000000000000000000000000000000000000
χ544-444-44-4-4-4444-44-4-40000-440000000000000000000000000000000000000000000
χ554-44-4-4-4444004-4-4000000002222−22−22000000000000−22220000000000000000000000000
χ564-44-4-4-4444004-4-400000000−22−22222200000000000022−220000000000000000000000000
χ574-4-444-4-440000000000000022−22−2222000000000022−22000000002-2-22000000000000000
χ584-4-444-4-440000000000000022−22−22220000000000−222200000000-222-2000000000000000
χ594-4-444-4-4400000000000000−222222−22000000000022−2200000000-222-2000000000000000
χ604-4-444-4-4400000000000000−222222−220000000000−2222000000002-2-22000000000000000
χ614-4-4-4444-404-4000-440000000000000000004i−4i00000000000000000000000000000
χ624-4-4-4444-404-4000-44000000000000000000−4i4i00000000000000000000000000000
χ634-4-4-4444-40-440004-400000000000000000000000000000000000000000000002i2−2i20
χ644-4-4-4444-40-440004-40000000000000000000000000000000000000000000000−2i22i20
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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