Finite Group Databasebeta

← Group #335819

Character table — Group #335819

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1111111-1
χ71111111111111111111111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11
χ9111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-111
χ172222222222-22-2-2-22-2-200002222220022-2-20000-2-2000000000000000-2000000000
χ182222222222-22-2-2-22-2-200002222-2-200-2-2220000-2-20000000000000002000000000
χ192222222222-22-2-2-22-2-20000-2-2-2-22200-2-222000022000000000000000-2000000000
χ202222222222-22-2-2-22-2-20000-2-2-2-2-2-20022-2-20000220000000000000002000000000
χ2122222222-2-22-2222-2-2-22222000000220000-2-2-2-200-2-200000000000020000000000
χ2222222222-2-22-2222-2-2-22222000000-2-20000222200-2-2000000000000-20000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-2000000220000-2-2220022000000000000-20000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-2000000-2-2000022-2-2002200000000000020000000000
χ252-22-22-22-200-2022-200022-2-2i2i2−i2−i2000000002i−2i2i−2ii2−i200000022−2−2i2i2−i2−i20000002−2000
χ262-22-22-22-200-2022-200022-2-2i2i2−i2−i200000000−2i2i−2i2ii2−i2000000−2−222i2i2−i2−i2000000−22000
χ272-22-22-22-200-2022-200022-2-2−i2−i2i2i2000000002i−2i2i−2i−i2i2000000−2−222−i2−i2i2i2000000−22000
χ282-22-22-22-200-2022-200022-2-2−i2−i2i2i200000000−2i2i−2i2i−i2i200000022−2−2−i2−i2i2i20000002−2000
χ292-22-22-22-200-2022-2000-2-222i2i2−i2−i2000000002i−2i−2i2ii2−i200000022−2−2−i2−i2i2i2000000−22000
χ302-22-22-22-200-2022-2000-2-222i2i2−i2−i200000000−2i2i2i−2ii2−i2000000−2−222−i2−i2i2i20000002−2000
χ312-22-22-22-200-2022-2000-2-222−i2−i2i2i2000000002i−2i−2i2i−i2i2000000−2−222i2i2−i2−i20000002−2000
χ322-22-22-22-200-2022-2000-2-222−i2−i2i2i200000000−2i2i2i−2i−i2i200000022−2−2i2i2−i2−i2000000−22000
χ332-22-2-22-222-202000-2002−22−22i−2i2i−2i2-2002i−2i000000002−2i2i2−i2−i20000i2−i2i2−i200002−200000
χ342-22-2-22-222-202000-2002−22−22i−2i2i−2i-2200−2i2i000000002−2−i2−i2i2i20000i2−i2i2−i20000−2200000
χ352-22-2-22-222-202000-2002−22−2−2i2i−2i2i2-200−2i2i000000002−2−i2−i2i2i20000−i2i2−i2i200002−200000
χ362-22-2-22-222-202000-2002−22−2−2i2i−2i2i-22002i−2i000000002−2i2i2−i2−i20000−i2i2−i2i20000−2200000
χ372-22-2-22-222-202000-200−22−222i−2i2i−2i2-2002i−2i00000000−22−i2−i2i2i20000−i2i2−i2i20000−2200000
χ382-22-2-22-222-202000-200−22−222i−2i2i−2i-2200−2i2i00000000−22i2i2−i2−i20000−i2i2−i2i200002−200000
χ392-22-2-22-222-202000-200−22−22−2i2i−2i2i2-200−2i2i00000000−22i2i2−i2−i20000i2−i2i2−i20000−2200000
χ402-22-2-22-222-202000-200−22−22−2i2i−2i2i-22002i−2i00000000−22−i2−i2i2i20000i2−i2i2−i200002−200000
χ412-2-22-222-222-2-22-22-2-220000000000000000000000002-22-22i−2i2i−2i0000002i−2i0000000
χ422-2-22-222-222-2-22-22-2-220000000000000000000000002-22-2−2i2i−2i2i000000−2i2i0000000
χ432-2-22-222-222-2-22-22-2-22000000000000000000000000-22-222i−2i2i−2i000000−2i2i0000000
χ442-2-22-222-222-2-22-22-2-22000000000000000000000000-22-22−2i2i−2i2i0000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-4000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ474444-4-4-4-4000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ484444-4-4-4-40000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ494444-4-4-4-40000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ5044-4-444-4-44-40-40004000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5144-4-444-4-44-40-4000400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5244-4-444-4-4-4404000-400000000000000004-40000000000000000000000000000000
χ5344-4-444-4-4-4404000-40000000000000000-440000000000000000000000000000000
χ5444-4-4-4-44400404-4-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5544-4-4-4-44400404-4-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5644-4-4-4-44400-40-44400000000000004-400000000000000000000000000000000000
χ5744-4-4-4-44400-40-4440000000000000-4400000000000000000000000000000000000
χ584-44-44-44-40040-4-4400000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ594-44-44-44-40040-4-440000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ604-44-4-44-44-440-400040022−2222−22000000000000000000−222200000000000000000000000
χ614-44-4-44-44-440-4000400−2222−222200000000000000000022−2200000000000000000000000
χ624-4-44-444-4444-4-44-4-44-400000000000000000000000000000000000000000000000
χ634-4-44-444-4-4-444-44-44-4400000000000000000000000000000000000000000000000
χ644-4-44-444-4-4-4-444-4444-400000000000000000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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