Finite Group Databasebeta

← Group #335676

Character table — Group #335676

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111-11-1-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-111111-1-1-111-1-1-1-1-1
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
χ51111111111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ9111111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-11-1-1
χ11111111111111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-11-1
χ17222222222-2-22-222-2-2-222220000222200-2-2000000-2-20000000000000-2000000000
χ18222222222-2-22-222-2-2-222220000-2-2-2-20022000000-2-200000000000002000000000
χ19222222222-2-22-222-2-2-2-2-2-2-2000022-2-200-2-20000002200000000000002000000000
χ20222222222-2-22-222-2-2-2-2-2-2-20000-2-2220022000000220000000000000-2000000000
χ2122222222-222-22-2-22-2-20000222200002200-2-2-2-2-2-20000000000000020000000000
χ2222222222-222-22-2-22-2-2000022220000-2-2002222-2-200000000000000-20000000000
χ2322222222-222-22-2-22-2-20000-2-2-2-200002200-2-2222200000000000000-20000000000
χ2422222222-222-22-2-22-2-20000-2-2-2-20000-2-20022-2-2220000000000000020000000000
χ2522-222-2-2-220020-2-200022-2-222−2−22-22-2000000002−200000022−2−222−2−20000002−2000
χ2622-222-2-2-220020-2-200022-2-222−2−2-22-22000000002−2000000−2−22222−2−2000000−22000
χ2722-222-2-2-220020-2-200022-2-2−2−2222-22-200000000−22000000−2−222−2−222000000−22000
χ2822-222-2-2-220020-2-200022-2-2−2−222-22-2200000000−2200000022−2−2−2−2220000002−2000
χ2922-222-2-2-220020-2-2000-2-22222−2−22-2-22000000002−200000022−2−2−2−222000000−22000
χ3022-222-2-2-220020-2-2000-2-22222−2−2-222-2000000002−2000000−2−222−2−2220000002−2000
χ3122-222-2-2-220020-2-2000-2-222−2−2222-2-2200000000−22000000−2−22222−2−20000002−2000
χ3222-222-2-2-220020-2-2000-2-222−2−222-222-200000000−2200000022−2−222−2−2000000−22000
χ332-2-22-222-2-2222-2-22-2-2200000000000000000000000022-2-22i−2i2i−2i0000002i−2i0000000
χ342-2-22-222-2-2222-2-22-2-2200000000000000000000000022-2-2−2i2i−2i2i000000−2i2i0000000
χ352-2-22-222-2-2222-2-22-2-22000000000000000000000000-2-2222i−2i2i−2i000000−2i2i0000000
χ362-2-22-222-2-2222-2-22-2-22000000000000000000000000-2-222−2i2i−2i2i0000002i−2i0000000
χ372-2-2-22-22202-20-2002002−22−22-22-2000000002-22-2002−22−22−200002−22−200002−200000
χ382-2-2-22-22202-20-2002002−22−22-22-200000000-22-22002−2−22−2200002−22−20000−2200000
χ392-2-2-22-22202-20-2002002−22−2-22-22000000002-2-22002−22−22−20000−22−220000−2200000
χ402-2-2-22-22202-20-2002002−22−2-22-2200000000-222-2002−2−22−220000−22−2200002−200000
χ412-2-2-22-22202-20-200200−22−222-22-2000000002-22-200−22−22−220000−22−220000−2200000
χ422-2-2-22-22202-20-200200−22−222-22-200000000-22-2200−222−22−20000−22−2200002−200000
χ432-2-2-22-22202-20-200200−22−22-22-22000000002-2-2200−22−22−2200002−22−200002−200000
χ442-2-2-22-22202-20-200200−22−22-22-2200000000-222-200−222−22−200002−22−20000−2200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-404-40400-40000000000000000000000000022−22−22220000000000000000000
χ47444-4-4-44-404-40400-400000000000000000000000000−222222−220000000000000000000
χ48444-4-4-44-40-440-4004000000000000004i−4i000000000000000000000000000000000
χ49444-4-4-44-40-440-400400000000000000−4i4i000000000000000000000000000000000
χ5044-444-4-4-4-400-404400000002222−22−22000000000000−22220000000000000000000000000
χ5144-444-4-4-4-400-40440000000−22−22222200000000000022−220000000000000000000000000
χ524-444-4-4-44400-40-44000000000000000004i−4i0000000000000000000000000000000
χ534-444-4-4-44400-40-4400000000000000000−4i4i0000000000000000000000000000000
χ544-444-4-4-44-400404-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ554-444-4-4-44-400404-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ564-44-444-4-4000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ574-44-444-4-4000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ584-44-444-4-40000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ594-44-444-4-40000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ604-4-44-444-4444-4-44-4-44-400000000000000000000000000000000000000000000000
χ614-4-44-444-44-4-4-444-44-4400000000000000000000000000000000000000000000000
χ624-4-44-444-4-4-4-444-4444-400000000000000000000000000000000000000000000000
χ634-4-4-44-4440-440400-40022−2222−22000000000000000000−222200000000000000000000000
χ644-4-4-44-4440-440400-400−2222−222200000000000000000022−2200000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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