Finite Group Databasebeta

← Group #335105

Character table — Group #335105

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888822448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-11111-1-11-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ61111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-111-1-11-1-1
χ9111111111111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1111111-1
χ11111111111111111111-1-1-1-11111-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-11-1
χ17222222222-222-2-22-2-2-20000222200220000-2-22200-2-2000000000000000-20000000
χ18222222222-222-2-22-2-2-20000222200-2-2000022-2-200-2-200000000000000020000000
χ19222222222-222-2-22-2-2-20000-2-2-2-20022000022-2-20022000000000000000-20000000
χ20222222222-222-2-22-2-2-20000-2-2-2-200-2-20000-2-222002200000000000000020000000
χ2122222222-22-2-222-22-2-2222200002200-2-2220000-2-20000000000000000-200000000
χ2222222222-22-2-222-22-2-222220000-2-20022-2-20000-2-20000000000000000200000000
χ2322222222-22-2-222-22-2-2-2-2-2-20000220022-2-20000220000000000000000-200000000
χ2422222222-22-2-222-22-2-2-2-2-2-20000-2-200-2-2220000220000000000000000200000000
χ252-22-22-2-22-2-22222-2-22-20000000000000000000000002i2i−2i−2i2i2i−2i−2i00002-2000000000
χ262-22-22-2-22-2-22222-2-22-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000-22000000000
χ272-22-22-2-22-2-22222-2-22-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000-22000000000
χ282-22-22-2-22-2-22222-2-22-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i00002-2000000000
χ292-2-2222-2-2202-200-200022−2−22i2i−2i−2i002-20000002i−2i2−2000000i2−i2i2−i2i2i2−i2−i20000002−2000
χ302-2-2222-2-2202-200-200022−2−22i2i−2i−2i00-22000000−2i2i2−2000000−i2i2−i2i2i2i2−i2−i2000000−22000
χ312-2-2222-2-2202-200-200022−2−2−2i−2i2i2i002-2000000−2i2i2−2000000−i2i2−i2i2−i2−i2i2i20000002−2000
χ322-2-2222-2-2202-200-200022−2−2−2i−2i2i2i00-220000002i−2i2−2000000i2−i2i2−i2−i2−i2i2i2000000−22000
χ332-2-2222-2-2202-200-2000−2−2222i2i−2i−2i002-20000002i−2i−22000000−i2i2−i2i2−i2−i2i2i2000000−22000
χ342-2-2222-2-2202-200-2000−2−2222i2i−2i−2i00-22000000−2i2i−22000000i2−i2i2−i2−i2−i2i2i20000002−2000
χ352-2-2222-2-2202-200-2000−2−222−2i−2i2i2i002-2000000−2i2i−22000000i2−i2i2−i2i2i2−i2−i2000000−22000
χ362-2-2222-2-2202-200-2000−2−222−2i−2i2i2i00-220000002i−2i−22000000−i2i2−i2i2i2i2−i2−i20000002−2000
χ372-2-2-2-22220-2002-202002-22-22−22−22-200002-20000002−22−22−200002−22−200002−200000
χ382-2-2-2-22220-2002-202002-22-22−22−2-220000-220000002−2−22−2200002−22−20000−2200000
χ392-2-2-2-22220-2002-202002-22-2−22−222-200002-2000000−22−22−220000−22−220000−2200000
χ402-2-2-2-22220-2002-202002-22-2−22−22-220000-22000000−222−22−20000−22−2200002−200000
χ412-2-2-2-22220-2002-20200-22-222−22−22-20000-220000002−2−22−220000−22−2200002−200000
χ422-2-2-2-22220-2002-20200-22-222−22−2-2200002-20000002−22−22−20000−22−220000−2200000
χ432-2-2-2-22220-2002-20200-22-22−22−222-20000-22000000−222−22−200002−22−20000−2200000
χ442-2-2-2-22220-2002-20200-22-22−22−22-2200002-2000000−22−22−2200002−22−200002−200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-4000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ47444-4-44-4-4000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ48444-4-44-4-40000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ49444-4-44-4-40000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ5044-44-4-4-4404004-40-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5144-44-4-4-4404004-40-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5244-44-4-4-440-400-4404000000000000004-4000000000000000000000000000000000
χ5344-44-4-4-440-400-440400000000000000-44000000000000000000000000000000000
χ5444-4-44-44-440-4400-400000000000000000004i−4i00000000000000000000000000000
χ5544-4-44-44-440-4400-40000000000000000000−4i4i00000000000000000000000000000
χ5644-4-44-44-4-404-4004000000000000000000000000000000022−22−2222000000000000000
χ5744-4-44-44-4-404-40040000000000000000000000000000000−222222−22000000000000000
χ584-44-44-4-4444-4-4-4-4444-400000000000000000000000000000000000000000000000
χ594-44-44-4-444-4-4-4444-4-4400000000000000000000000000000000000000000000000
χ604-44-44-4-44-4444-4-4-44-4400000000000000000000000000000000000000000000000
χ614-4-4444-4-4-40-440040002222−22−220000000000000000−22220000000000000000000000000
χ624-4-4444-4-4-40-44004000−22−222222000000000000000022−220000000000000000000000000
χ634-4-4-4-44440400-440-400000022−2222−2200000000000000−222200000000000000000000000
χ644-4-4-4-44440400-440-4000000−2222−22220000000000000022−2200000000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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