Finite Group Databasebeta

← Group #335121

Character table — Group #335121

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888822448888444
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
χ51111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ61111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-11-11
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-111-1-1-11-1
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
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1
χ17222222222-2-222-2-22-2-2222200002200-2-2220000-2-20000000000000000-200000000
χ18222222222-2-222-2-22-2-222220000-2-20022-2-20000-2-20000000000000000200000000
χ19222222222-2-222-2-22-2-2-2-2-2-20000220022-2-20000220000000000000000-200000000
χ20222222222-2-222-2-22-2-2-2-2-2-20000-2-200-2-2220000220000000000000000200000000
χ2122222222-222-2-222-2-2-2000022220022000022-2-200-2-2000000000000000-20000000
χ2222222222-222-2-222-2-2-20000222200-2-20000-2-22200-2-200000000000000020000000
χ2322222222-222-2-222-2-2-20000-2-2-2-200220000-2-2220022000000000000000-20000000
χ2422222222-222-2-222-2-2-20000-2-2-2-200-2-2000022-2-2002200000000000000020000000
χ2522-2-22-22-202-2002-2000i2i2−i2−i22i2i−2i−2i002-200002i−2i00i2−i200000022−2−222−2−2000000i2−i2000
χ2622-2-22-22-202-2002-2000i2i2−i2−i22i2i−2i−2i00-220000−2i2i00i2−i2000000−2−22222−2−2000000−i2i2000
χ2722-2-22-22-202-2002-2000i2i2−i2−i2−2i−2i2i2i002-20000−2i2i00i2−i2000000−2−222−2−222000000i2−i2000
χ2822-2-22-22-202-2002-2000i2i2−i2−i2−2i−2i2i2i00-2200002i−2i00i2−i200000022−2−2−2−222000000−i2i2000
χ2922-2-22-22-202-2002-2000−i2−i2i2i22i2i−2i−2i002-200002i−2i00−i2i2000000−2−222−2−222000000−i2i2000
χ3022-2-22-22-202-2002-2000−i2−i2i2i22i2i−2i−2i00-220000−2i2i00−i2i200000022−2−2−2−222000000i2−i2000
χ3122-2-22-22-202-2002-2000−i2−i2i2i2−2i−2i2i2i002-20000−2i2i00−i2i200000022−2−222−2−2000000−i2i2000
χ3222-2-22-22-202-2002-2000−i2−i2i2i2−2i−2i2i2i00-2200002i−2i00−i2i2000000−2−22222−2−2000000i2−i2000
χ332-22-22-2-22-22222-2-2-22-20000000000000000000000002i2i−2i−2i2i−2i2i−2i00002-2000000000
χ342-22-22-2-22-22222-2-2-22-20000000000000000000000002i2i−2i−2i−2i2i−2i2i0000-22000000000
χ352-22-22-2-22-22222-2-2-22-2000000000000000000000000−2i−2i2i2i2i−2i2i−2i0000-22000000000
χ362-22-22-2-22-22222-2-2-22-2000000000000000000000000−2i−2i2i2i−2i2i−2i2i00002-2000000000
χ372-2-2-2-2222-2002-2002002-22-22−22−22-200002-20000002−22−22−200002−22−200002−200000
χ382-2-2-2-2222-2002-2002002-22-22−22−2-220000-220000002−2−22−2200002−22−20000−2200000
χ392-2-2-2-2222-2002-2002002-22-2−22−222-200002-2000000−22−22−220000−22−220000−2200000
χ402-2-2-2-2222-2002-2002002-22-2−22−22-220000-22000000−222−22−20000−22−2200002−200000
χ412-2-2-2-2222-2002-200200-22-222−22−22-20000-220000002−2−22−220000−22−2200002−200000
χ422-2-2-2-2222-2002-200200-22-222−22−2-2200002-20000002−22−22−20000−22−220000−2200000
χ432-2-2-2-2222-2002-200200-22-22−22−222-20000-22000000−222−22−200002−22−20000−2200000
χ442-2-2-2-2222-2002-200200-22-22−22−22-2200002-2000000−22−22−2200002−22−200002−200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ4644-44-4-4-444004-400-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ4744-44-4-4-444004-400-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ4844-44-4-4-44-400-44004000000000000004-4000000000000000000000000000000000
χ4944-44-4-4-44-400-4400400000000000000-44000000000000000000000000000000000
χ5044-4-44-44-40-4400-440002i22i2−2i2−2i20000000000000000−2i22i20000000000000000000000000
χ5144-4-44-44-40-4400-44000−2i2−2i22i22i200000000000000002i2−2i20000000000000000000000000
χ524-444-4-44-400000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ534-444-4-44-400000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ544-444-4-44-40000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ554-444-4-44-40000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ564-44-44-4-44444-4-4-4-44-4400000000000000000000000000000000000000000000000
χ574-44-44-4-444-4-4-4-44444-400000000000000000000000000000000000000000000000
χ584-44-44-4-44-4-4-44444-4-4400000000000000000000000000000000000000000000000
χ594-4-4444-4-404-400-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ604-4-4444-4-404-400-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ614-4-4444-4-40-44004-40000000000000000000004i−4i000000000000000000000000000
χ624-4-4444-4-40-44004-4000000000000000000000−4i4i000000000000000000000000000
χ634-4-4-4-4444400-4400-400000022−2222−2200000000000000−222200000000000000000000000
χ644-4-4-4-4444400-4400-4000000−2222−22220000000000000022−2200000000000000000000000
χ65888-8-88-8-8000000000000000000000000000000000000000000000000000000000

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