Finite Group Databasebeta

← Group #340489

Character table — Group #340489

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-111-1-111111111-1-1-1-11111-11-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111-11-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111111-11
χ9111111111111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-11111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11
χ17222222222-2-2222-2-2-2-200002222220000-2-200-2-2-2-20000000000000020000000000
χ18222222222-2-2222-2-2-2-200002222-2-20000220022-2-200000000000000-20000000000
χ19222222222-2-2222-2-2-2-20000-2-2-2-22200002200-2-22200000000000000-20000000000
χ20222222222-2-2222-2-2-2-20000-2-2-2-2-2-20000-2-20022220000000000000020000000000
χ2122222222-222-2-2-222-2-2222200000022-2-200-2-200000000-2-20000000002000000000
χ2222222222-222-2-2-222-2-22222000000-2-222002200000000-2-2000000000-2000000000
χ2322222222-222-2-2-222-2-2-2-2-2-2000000222200-2-20000000022000000000-2000000000
χ2422222222-222-2-2-222-2-2-2-2-2-2000000-2-2-2-2002200000000220000000002000000000
χ252-222-22-2-2-200-222000022−2−222-2-20000002i−2i002i−2i0000002−2i2i2−i2−i222−2−20000i2−i200000
χ262-222-22-2-2-200-222000022−2−222-2-2000000−2i2i00−2i2i0000002−2−i2−i2i2i222−2−20000−i2i200000
χ272-222-22-2-2-200-222000022−2−2-2-2220000002i−2i00−2i2i0000002−2−i2−i2i2i2−2−2220000i2−i200000
χ282-222-22-2-2-200-222000022−2−2-2-222000000−2i2i002i−2i0000002−2i2i2−i2−i2−2−2220000−i2i200000
χ292-222-22-2-2-200-2220000−2−22222-2-20000002i−2i002i−2i000000−22−i2−i2i2i2−2−2220000−i2i200000
χ302-222-22-2-2-200-2220000−2−22222-2-2000000−2i2i00−2i2i000000−22i2i2−i2−i2−2−2220000i2−i200000
χ312-222-22-2-2-200-2220000−2−222-2-2220000002i−2i00−2i2i000000−22i2i2−i2−i222−2−20000−i2i200000
χ322-222-22-2-2-200-2220000−2−222-2-222000000−2i2i002i−2i000000−22−i2−i2i2i222−2−20000i2−i200000
χ332-22-22-2-22-2222-22-2-2-2200000000000000000000002i2i−2i−2i002i−2i2i−2i0000002-20000000
χ342-22-22-2-22-2222-22-2-2-2200000000000000000000002i2i−2i−2i00−2i2i−2i2i000000-220000000
χ352-22-22-2-22-2222-22-2-2-220000000000000000000000−2i−2i2i2i002i−2i2i−2i000000-220000000
χ362-22-22-2-22-2222-22-2-2-220000000000000000000000−2i−2i2i2i00−2i2i−2i2i0000002-20000000
χ372-2-2-2222-202-20002-2002i−2i2i−2ii2−i2i2−i200002i−2i002-200i2−i2i2−i2i2−i20000002−22−20000002−2000
χ382-2-2-2222-202-20002-2002i−2i2i−2ii2−i2i2−i20000−2i2i00-2200i2−i2−i2i2−i2i20000002−22−2000000−22000
χ392-2-2-2222-202-20002-2002i−2i2i−2i−i2i2−i2i200002i−2i002-200−i2i2−i2i2−i2i2000000−22−22000000−22000
χ402-2-2-2222-202-20002-2002i−2i2i−2i−i2i2−i2i20000−2i2i00-2200−i2i2i2−i2i2−i2000000−22−220000002−2000
χ412-2-2-2222-202-20002-200−2i2i−2i2ii2−i2i2−i200002i−2i00-2200i2−i2−i2i2−i2i2000000−22−220000002−2000
χ422-2-2-2222-202-20002-200−2i2i−2i2ii2−i2i2−i20000−2i2i002-200i2−i2i2−i2i2−i2000000−22−22000000−22000
χ432-2-2-2222-202-20002-200−2i2i−2i2i−i2i2−i2i200002i−2i00-2200−i2i2i2−i2i2−i20000002−22−2000000−22000
χ442-2-2-2222-202-20002-200−2i2i−2i2i−i2i2−i2i20000−2i2i002-200−i2i2−i2i2−i2i20000002−22−20000002−2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-4400-4-440000000000000000000000000000000022−22−2222000000000000000
χ47444-4-4-44-4400-4-4400000000000000000000000000000000−222222−22000000000000000
χ48444-4-4-44-4-40044-40000000000004-40000000000000000000000000000000000000
χ49444-4-4-44-4-40044-4000000000000-440000000000000000000000000000000000000
χ5044-444-4-4-404-4000-4400000000000000000000000022−22−2222000000000000000000000
χ5144-444-4-4-404-4000-44000000000000000000000000−222222−22000000000000000000000
χ5244-444-4-4-40-440004-40000000000004-400000000000000000000000000000000000
χ5344-444-4-4-40-440004-4000000000000-4400000000000000000000000000000000000
χ5444-4-4-44-4400000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ5544-4-4-44-4400000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ5644-4-4-44-440000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ5744-4-4-44-440000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ584-444-44-4-44004-4-400002222−22−220000000000000000000000−22220000000000000000000
χ594-444-44-4-44004-4-40000−22−222222000000000000000000000022−220000000000000000000
χ604-44-44-4-44444-44-4-4-44-400000000000000000000000000000000000000000000000
χ614-44-44-4-444-4-4-44-444-4400000000000000000000000000000000000000000000000
χ624-44-44-4-44-4-4-44-44444-400000000000000000000000000000000000000000000000
χ634-4-4-4444-40-44000-440000002i2−2i22i2−2i2000000000000−2i22i20000000000000000000000000
χ644-4-4-4444-40-44000-44000000−2i22i2−2i22i20000000000002i2−2i20000000000000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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