Finite Group Databasebeta

← Group #335209

Character table — Group #335209

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-111111-11
χ9111111111111111111-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1111111-1
χ11111111111111111111-1-1-1-11111-1-11111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ12111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-111
χ1722222222222-2-2-2-22-2-22222000022-2-200220000-2-2000000000000000-2000000000
χ1822222222222-2-2-2-22-2-222220000-2-22200-2-20000-2-20000000000000002000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-20000222200-2-2000022000000000000000-2000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-20000-2-2-2-200220000220000000000000002000000000
χ2122222222-2-2-22222-2-2-20000222200002200-2-2-2-200-2-200000000000020000000000
χ2222222222-2-2-22222-2-2-2000022220000-2-200222200-2-2000000000000-20000000000
χ2322222222-2-2-22222-2-2-20000-2-2-2-200002200-2-2220022000000000000-20000000000
χ2422222222-2-2-22222-2-2-20000-2-2-2-20000-2-20022-2-2002200000000000020000000000
χ2522-22-22-2-2-22-200002002i2i−2i−2i22−2−22-200002i−2i0000002−2i2i2−i2−i20000i2i2−i2−i200002−200000
χ2622-22-22-2-2-22-200002002i2i−2i−2i22−2−2-220000−2i2i0000002−2−i2−i2i2i20000i2i2−i2−i20000−2200000
χ2722-22-22-2-2-22-200002002i2i−2i−2i−2−2222-200002i−2i000000−22−i2−i2i2i20000−i2−i2i2i20000−2200000
χ2822-22-22-2-2-22-200002002i2i−2i−2i−2−222-220000−2i2i000000−22i2i2−i2−i20000−i2−i2i2i200002−200000
χ2922-22-22-2-2-22-20000200−2i−2i2i2i22−2−22-20000−2i2i0000002−2−i2−i2i2i20000−i2−i2i2i200002−200000
χ3022-22-22-2-2-22-20000200−2i−2i2i2i22−2−2-2200002i−2i0000002−2i2i2−i2−i20000−i2−i2i2i20000−2200000
χ3122-22-22-2-2-22-20000200−2i−2i2i2i−2−2222-20000−2i2i000000−22i2i2−i2−i20000i2i2−i2−i20000−2200000
χ3222-22-22-2-2-22-20000200−2i−2i2i2i−2−222-2200002i−2i000000−22−i2−i2i2i20000i2i2−i2−i200002−200000
χ332-222-2-2-220002-22-2000i2−i2i2−i22i−2i2i−2i000000002i−2i2-2i2−i200000022−2−22−22−2000000i2−i2000
χ342-222-2-2-220002-22-2000i2−i2i2−i22i−2i2i−2i00000000−2i2i-22i2−i2000000−2−2222−22−2000000−i2i2000
χ352-222-2-2-220002-22-2000i2−i2i2−i2−2i2i−2i2i000000002i−2i-22i2−i200000022−2−2−22−22000000−i2i2000
χ362-222-2-2-220002-22-2000i2−i2i2−i2−2i2i−2i2i00000000−2i2i2-2i2−i2000000−2−222−22−22000000i2−i2000
χ372-222-2-2-220002-22-2000−i2i2−i2i22i−2i2i−2i000000002i−2i2-2−i2i2000000−2−222−22−22000000−i2i2000
χ382-222-2-2-220002-22-2000−i2i2−i2i22i−2i2i−2i00000000−2i2i-22−i2i200000022−2−2−22−22000000i2−i2000
χ392-222-2-2-220002-22-2000−i2i2−i2i2−2i2i−2i2i000000002i−2i-22−i2i2000000−2−2222−22−2000000i2−i2000
χ402-222-2-2-220002-22-2000−i2i2−i2i2−2i2i−2i2i00000000−2i2i2-2−i2i200000022−2−22−22−2000000−i2i2000
χ412-2-2-2-2222-22222-2-2-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i0000002-20000000
χ422-2-2-2-2222-22222-2-2-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i000000-220000000
χ432-2-2-2-2222-22222-2-2-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000-220000000
χ442-2-2-2-2222-22222-2-2-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000002-20000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ4644-44-44-4-44-440000-40000002222−22−2200000000000000−222200000000000000000000000
χ4744-44-44-4-44-440000-4000000−22−2222220000000000000022−2200000000000000000000000
χ4844-4-44-4-440004-4-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ4944-4-44-4-440004-4-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5044-4-44-4-44000-444-40000000000000004i−4i000000000000000000000000000000000
χ5144-4-44-4-44000-444-4000000000000000−4i4i000000000000000000000000000000000
χ524-444-4-4-44000-44-440002i2−2i22i2−2i20000000000000000−2i22i20000000000000000000000000
χ534-444-4-4-44000-44-44000−2i22i2−2i22i200000000000000002i2−2i20000000000000000000000000
χ544-44-444-4-444-40000-40000000000000000000000000022−22−22220000000000000000000
χ554-44-444-4-444-40000-400000000000000000000000000−222222−220000000000000000000
χ564-44-444-4-4-4-44000040000000000004i−4i00000000000000000000000000000000000
χ574-44-444-4-4-4-4400004000000000000−4i4i00000000000000000000000000000000000
χ584-4-444-44-4000000000022−22−22222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ594-4-444-44-4000000000022−22−2222−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ604-4-444-44-40000000000−222222−222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ614-4-444-44-40000000000−222222−22−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ624-4-4-4-44444-4-444-4-44-4400000000000000000000000000000000000000000000000
χ634-4-4-4-44444-4-4-4-44444-400000000000000000000000000000000000000000000000
χ644-4-4-4-4444-444-4-444-4-4400000000000000000000000000000000000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

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