Finite Group Databasebeta

← Group #331740

Character table — Group #331740

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888822248888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-111-111-1-11-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-111
χ9111111111111111111-1-1-1-11111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111111111-1-1-1-1-11-1
χ17222222222-22-22-22-2-2-2222200002200-2-2-2-2000000-2-200000000000020000000000
χ18222222222-22-22-22-2-2-222220000-2-2002222000000-2-2000000000000-20000000000
χ19222222222-22-22-22-2-2-2-2-2-2-200002200-2-22200000022000000000000-20000000000
χ20222222222-22-22-22-2-2-2-2-2-2-20000-2-20022-2-20000002200000000000020000000000
χ2122222222-22-22-22-22-2-20000222200220000-2-222-2-200000000000000000-20000000
χ2222222222-22-22-22-22-2-20000222200-2-2000022-2-2-2-20000000000000000020000000
χ2322222222-22-22-22-22-2-20000-2-2-2-200220000-2-2-2-2220000000000000000020000000
χ2422222222-22-22-22-22-2-20000-2-2-2-200-2-2000022222200000000000000000-20000000
χ2522-2-22-2-2202020-20-20022−2−22i2i−2i−2i002i−2i0000002-2002−20000i2i2−i2−i2i2i2−i2−i20000002−2000
χ2622-2-22-2-2202020-20-20022−2−22i2i−2i−2i00−2i2i000000-22002−20000−i2−i2i2i2i2i2−i2−i2000000−22000
χ2722-2-22-2-2202020-20-20022−2−2−2i−2i2i2i002i−2i000000-22002−20000i2i2−i2−i2−i2−i2i2i2000000−22000
χ2822-2-22-2-2202020-20-20022−2−2−2i−2i2i2i00−2i2i0000002-2002−20000−i2−i2i2i2−i2−i2i2i20000002−2000
χ2922-2-22-2-2202020-20-200−2−2222i2i−2i−2i002i−2i0000002-200−220000−i2−i2i2i2−i2−i2i2i2000000−22000
χ3022-2-22-2-2202020-20-200−2−2222i2i−2i−2i00−2i2i000000-2200−220000i2i2−i2−i2−i2−i2i2i20000002−2000
χ3122-2-22-2-2202020-20-200−2−222−2i−2i2i2i002i−2i000000-2200−220000−i2−i2i2i2i2i2−i2−i20000002−2000
χ3222-2-22-2-2202020-20-200−2−222−2i−2i2i2i00−2i2i0000002-200−220000i2i2−i2−i2i2i2−i2−i2000000−22000
χ332-2-222-22-22020-20-20002-22-22−22−200002i−2i2i−2i00002−200i2i2−i2−i200002−22−20000i2−i200000
χ342-2-222-22-22020-20-20002-22-22−22−20000−2i2i−2i2i00002−200−i2−i2i2i200002−22−20000−i2i200000
χ352-2-222-22-22020-20-20002-22-2−22−2200002i−2i2i−2i0000−2200−i2−i2i2i20000−22−220000−i2i200000
χ362-2-222-22-22020-20-20002-22-2−22−220000−2i2i−2i2i0000−2200i2i2−i2−i20000−22−220000i2−i200000
χ372-2-222-22-22020-20-2000-22-222−22−200002i−2i−2i2i00002−200i2i2−i2−i20000−22−220000−i2i200000
χ382-2-222-22-22020-20-2000-22-222−22−20000−2i2i2i−2i00002−200−i2−i2i2i20000−22−220000i2−i200000
χ392-2-222-22-22020-20-2000-22-22−22−2200002i−2i−2i2i0000−2200−i2−i2i2i200002−22−20000i2−i200000
χ402-2-222-22-22020-20-2000-22-22−22−220000−2i2i2i−2i0000−2200i2i2−i2−i200002−22−20000−i2i200000
χ412-2-22-22-2222-2-222-2-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i000002-200000000
χ422-2-22-22-2222-2-222-2-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i00000-2200000000
χ432-2-22-22-2222-2-222-2-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000-2200000000
χ442-2-22-22-2222-2-222-2-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i000002-200000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-440-40-40400000000000000000000000000022−22−22220000000000000000000
χ474444-4-4-4-440-40-404000000000000000000000000000−222222−220000000000000000000
χ484444-4-4-4-4-404040-4000000000004-40000000000000000000000000000000000000
χ494444-4-4-4-4-404040-400000000000-440000000000000000000000000000000000000
χ5044-4-44-4-440-40-40404002222−22−22000000000000000000−222200000000000000000000000
χ5144-4-44-4-440-40-4040400−22−22222200000000000000000022−2200000000000000000000000
χ524-44-444-4-4000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ534-44-444-4-4000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ544-44-444-4-40000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ554-44-444-4-40000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ564-44-4-4-444040-40-40400000000000000000000000000000022−22−2222000000000000000
χ574-44-4-4-444040-40-404000000000000000000000000000000−222222−22000000000000000
χ584-44-4-4-4440-404040-40000000000000000004-400000000000000000000000000000
χ594-44-4-4-4440-404040-4000000000000000000-4400000000000000000000000000000
χ604-4-444-44-4-40-40404000000022−2222−22000000000000−22220000000000000000000000000
χ614-4-444-44-4-40-404040000000−2222−222200000000000022−220000000000000000000000000
χ624-4-44-44-444-4-444-4-44-4400000000000000000000000000000000000000000000000
χ634-4-44-44-44-444-4-444-4-4400000000000000000000000000000000000000000000000
χ644-4-44-44-44-4-444-4-4444-400000000000000000000000000000000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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