Finite Group Databasebeta

← Group #335113

Character table — Group #335113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ9111111111111111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-111
χ11111111111111111111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-11
χ17222222222-2-222-2-22-2-20000222200000022-2-2-2-200-2-200000000000020000000000
χ18222222222-2-222-2-22-2-200002222000000-2-2222200-2-2000000000000-20000000000
χ19222222222-2-222-2-22-2-20000-2-2-2-200000022-2-2220022000000000000-20000000000
χ20222222222-2-222-2-22-2-20000-2-2-2-2000000-2-222-2-2002200000000000020000000000
χ2122222222-222-2-222-2-2-22222000022-2-222000000-2-2000000000000000-2000000000
χ2222222222-222-2-222-2-2-222220000-2-222-2-2000000-2-20000000000000002000000000
χ2322222222-222-2-222-2-2-2-2-2-2-200002222-2-200000022000000000000000-2000000000
χ2422222222-222-2-222-2-2-2-2-2-2-20000-2-2-2-222000000220000000000000002000000000
χ252-22-22-2-222002-200-20022−2−22i2i−2i−2i000000002i−2i2-22−200i2i2−i2−i20000i2i2−i2−i200002−200000
χ262-22-22-2-222002-200-20022−2−22i2i−2i−2i00000000−2i2i-222−200−i2−i2i2i20000i2i2−i2−i20000−2200000
χ272-22-22-2-222002-200-20022−2−2−2i−2i2i2i000000002i−2i-222−200i2i2−i2−i20000−i2−i2i2i20000−2200000
χ282-22-22-2-222002-200-20022−2−2−2i−2i2i2i00000000−2i2i2-22−200−i2−i2i2i20000−i2−i2i2i200002−200000
χ292-22-22-2-222002-200-200−2−2222i2i−2i−2i000000002i−2i2-2−2200−i2−i2i2i20000−i2−i2i2i20000−2200000
χ302-22-22-2-222002-200-200−2−2222i2i−2i−2i00000000−2i2i-22−2200i2i2−i2−i20000−i2−i2i2i200002−200000
χ312-22-22-2-222002-200-200−2−222−2i−2i2i2i000000002i−2i-22−2200−i2−i2i2i20000i2i2−i2−i200002−200000
χ322-22-22-2-222002-200-200−2−222−2i−2i2i2i00000000−2i2i2-2−2200i2i2−i2−i20000i2i2−i2−i20000−2200000
χ332-2-22-22-22-22222-2-2-22-20000000000000000000000002i−2i2i−2i2i2i−2i−2i0000002-20000000
χ342-2-22-22-22-22222-2-2-22-20000000000000000000000002i−2i2i−2i−2i−2i2i2i000000-220000000
χ352-2-22-22-22-22222-2-2-22-2000000000000000000000000−2i2i−2i2i2i2i−2i−2i000000-220000000
χ362-2-22-22-22-22222-2-2-22-2000000000000000000000000−2i2i−2i2i−2i−2i2i2i0000002-20000000
χ372-2-2-2222-202-2002-20002-22-2i2−i2i2−i22-2002-200000000i2−i20000i2−i2i2−i2i2−i2i2−i2000000i2−i2000
χ382-2-2-2222-202-2002-20002-22-2i2−i2i2−i2-2200-2200000000i2−i20000−i2i2−i2i2i2−i2i2−i2000000−i2i2000
χ392-2-2-2222-202-2002-20002-22-2−i2i2−i2i22-2002-200000000−i2i20000−i2i2−i2i2−i2i2−i2i2000000−i2i2000
χ402-2-2-2222-202-2002-20002-22-2−i2i2−i2i2-2200-2200000000−i2i20000i2−i2i2−i2−i2i2−i2i2000000i2−i2000
χ412-2-2-2222-202-2002-2000-22-22i2−i2i2−i22-200-2200000000i2−i20000−i2i2−i2i2−i2i2−i2i2000000i2−i2000
χ422-2-2-2222-202-2002-2000-22-22i2−i2i2−i2-22002-200000000i2−i20000i2−i2i2−i2−i2i2−i2i2000000−i2i2000
χ432-2-2-2222-202-2002-2000-22-22−i2i2−i2i22-200-2200000000−i2i20000i2−i2i2−i2i2−i2i2−i2000000−i2i2000
χ442-2-2-2222-202-2002-2000-22-22−i2i2−i2i2-22002-200000000−i2i20000−i2i2−i2i2i2−i2i2−i2000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-404-400-44000000000000000000000000000000022−22−2222000000000000000
χ47444-4-44-4-404-400-440000000000000000000000000000000−222222−22000000000000000
χ48444-4-44-4-40-44004-400000000000004-400000000000000000000000000000000000
χ49444-4-44-4-40-44004-40000000000000-4400000000000000000000000000000000000
χ5044-444-4-4-4000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ5144-444-4-4-4000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ5244-444-4-4-40000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ5344-444-4-4-40000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ5444-4-4-4-444400-4400-400000000000000004i−4i0000000000000000000000000000000
χ5544-4-4-4-444400-4400-40000000000000000−4i4i0000000000000000000000000000000
χ5644-4-4-4-444-4004-40040000000000000000000000000022−22−22220000000000000000000
χ5744-4-4-4-444-4004-400400000000000000000000000000−222222−220000000000000000000
χ584-44-44-4-44-400-44004002222−22−220000000000000000−22220000000000000000000000000
χ594-44-44-4-44-400-4400400−22−222222000000000000000022−220000000000000000000000000
χ604-4-44-44-44444-4-4-4-44-4400000000000000000000000000000000000000000000000
χ614-4-44-44-444-4-4-4-44444-400000000000000000000000000000000000000000000000
χ624-4-44-44-44-4-4-44444-4-4400000000000000000000000000000000000000000000000
χ634-4-4-4444-40-4400-4400000002i2−2i22i2−2i200000000000000−2i22i200000000000000000000000
χ644-4-4-4444-40-4400-440000000−2i22i2−2i22i2000000000000002i2−2i200000000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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