Finite Group Databasebeta

← Group #336754

Character table — Group #336754

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1111111-1
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ10111111111111111111-1-1-1-111111111-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-11
χ11111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111111-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-111-1-1-111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-111-111
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-111
χ172222222222-2-2-222-2-2-20000222222-2-200-2-2000000-2-200000000000020000000000
χ182222222222-2-2-222-2-2-200002222-2-2220022000000-2-2000000000000-20000000000
χ192222222222-2-2-222-2-2-20000-2-2-2-222-2-2002200000022000000000000-20000000000
χ202222222222-2-2-222-2-2-20000-2-2-2-2-2-22200-2-20000002200000000000020000000000
χ2122222222-2-2222-2-22-2-2222200000000220022-2-2-2-200000000000000000-20000000
χ2222222222-2-2222-2-22-2-2222200000000-2-200-2-222-2-20000000000000000020000000
χ2322222222-2-2222-2-22-2-2-2-2-2-2000000002200-2-2222200000000000000000-20000000
χ2422222222-2-2222-2-22-2-2-2-2-2-200000000-2-20022-2-2220000000000000000020000000
χ252-222-2-2-222-20002-2000i2i2−i2−i22i2i−2i−2i002-2002i−2i0000i2−i2000000i2i2−i2−i222−2−20000002−2000
χ262-222-2-2-222-20002-2000i2i2−i2−i22i2i−2i−2i00-2200−2i2i0000i2−i2000000−i2−i2i2i222−2−2000000−22000
χ272-222-2-2-222-20002-2000i2i2−i2−i2−2i−2i2i2i002-200−2i2i0000i2−i2000000i2i2−i2−i2−2−222000000−22000
χ282-222-2-2-222-20002-2000i2i2−i2−i2−2i−2i2i2i00-22002i−2i0000i2−i2000000−i2−i2i2i2−2−2220000002−2000
χ292-222-2-2-222-20002-2000−i2−i2i2i22i2i−2i−2i002-2002i−2i0000−i2i2000000−i2−i2i2i2−2−222000000−22000
χ302-222-2-2-222-20002-2000−i2−i2i2i22i2i−2i−2i00-2200−2i2i0000−i2i2000000i2i2−i2−i2−2−2220000002−2000
χ312-222-2-2-222-20002-2000−i2−i2i2i2−2i−2i2i2i002-200−2i2i0000−i2i2000000−i2−i2i2i222−2−20000002−2000
χ322-222-2-2-222-20002-2000−i2−i2i2i2−2i−2i2i2i00-22002i−2i0000−i2i2000000i2i2−i2−i222−2−2000000−22000
χ332-22-2-222-2-2-2-22222-22-200000000000000000000000022-2-22i−2i2i−2i000002i−2i00000000
χ342-22-2-222-2-2-2-22222-22-200000000000000000000000022-2-2−2i2i−2i2i00000−2i2i00000000
χ352-22-2-222-2-2-2-22222-22-2000000000000000000000000-2-2222i−2i2i−2i00000−2i2i00000000
χ362-22-2-222-2-2-2-22222-22-2000000000000000000000000-2-222−2i2i−2i2i000002i−2i00000000
χ372-2-2-22-2220022-200-2002-22-22−22−200002i−2i002i−2i00002−2i2−i2i2−i200002−22−20000i2−i200000
χ382-2-2-22-2220022-200-2002-22-22−22−20000−2i2i00−2i2i00002−2−i2i2−i2i200002−22−20000−i2i200000
χ392-2-2-22-2220022-200-2002-22-2−22−2200002i−2i002i−2i0000−22−i2i2−i2i20000−22−220000−i2i200000
χ402-2-2-22-2220022-200-2002-22-2−22−220000−2i2i00−2i2i0000−22i2−i2i2−i20000−22−220000i2−i200000
χ412-2-2-22-2220022-200-200-22-222−22−200002i−2i00−2i2i00002−2−i2i2−i2i20000−22−220000i2−i200000
χ422-2-2-22-2220022-200-200-22-222−22−20000−2i2i002i−2i00002−2i2−i2i2−i20000−22−220000−i2i200000
χ432-2-2-22-2220022-200-200-22-22−22−2200002i−2i00−2i2i0000−22i2−i2i2−i200002−22−20000−i2i200000
χ442-2-2-22-2220022-200-200-22-22−22−220000−2i2i002i−2i0000−22−i2i2−i2i200002−22−20000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-44-4000-44000000000004-40000000000000000000000000000000000000
χ47444-44-4-4-44-4000-4400000000000-440000000000000000000000000000000000000
χ48444-44-4-4-4-440004-4000000000000000000000000000000022−22−2222000000000000000
χ49444-44-4-4-4-440004-40000000000000000000000000000000−222222−22000000000000000
χ5044-44-4-44-4004-4400-4000000000000000000004-4000000000000000000000000000
χ5144-44-4-44-4004-4400-400000000000000000000-44000000000000000000000000000
χ5244-44-4-44-400-44-4004000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5344-44-4-44-400-44-400400000000000000000000000000−2i22i22i2−2i20000000000000000000
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
χ584-444-4-4-44-44000-440002i22i2−2i2−2i20000000000000000−2i22i20000000000000000000000000
χ594-444-4-4-44-44000-44000−2i2−2i22i22i200000000000000002i2−2i20000000000000000000000000
χ604-44-4-444-4444-4-4-4-444-400000000000000000000000000000000000000000000000
χ614-44-4-444-444-444-4-4-4-4400000000000000000000000000000000000000000000000
χ624-44-4-444-4-4-44-4-4444-4400000000000000000000000000000000000000000000000
χ634-4-4-44-44400-4-4400400000022−2222−2200000000000000−222200000000000000000000000
χ644-4-4-44-44400-4-44004000000−2222−22220000000000000022−2200000000000000000000000
χ658-8-8888-8-8000000000000000000000000000000000000000000000000000000000

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