Finite Group Databasebeta

← Group #335772

Character table — Group #335772

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-111111111-11-1-1-1-111-1-1-1
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
χ51111111111111111111111-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111111-1
χ9111111111111111111-1-1-1-1111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ172222222222-2-2-222-2-2-22222000022-2-20000-2-20000-2-200000000000020000000000
χ182222222222-2-2-222-2-2-222220000-2-2220000220000-2-2000000000000-20000000000
χ192222222222-2-2-222-2-2-2-2-2-2-2000022220000-2-2000022000000000000-20000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-2-2-200002200002200000000000020000000000
χ2122222222-2-2222-2-22-2-200002222000022-2-200-2-2-2-20000000000000002000000000
χ2222222222-2-2222-2-22-2-2000022220000-2-2220022-2-2000000000000000-2000000000
χ2322222222-2-2222-2-22-2-20000-2-2-2-20000222200-2-222000000000000000-2000000000
χ2422222222-2-2222-2-22-2-20000-2-2-2-20000-2-2-2-20022220000000000000002000000000
χ2522-2-2-22-22002-2-200200i2i2−i2−i222-2-20000002-2002-200i2−i20000i2i2−i2−i2i2i2−i2−i2000000i2−i2000
χ2622-2-2-22-22002-2-200200i2i2−i2−i222-2-2000000-2200-2200i2−i20000−i2−i2i2i2i2i2−i2−i2000000−i2i2000
χ2722-2-2-22-22002-2-200200i2i2−i2−i2-2-2220000002-200-2200i2−i20000−i2−i2i2i2−i2−i2i2i2000000i2−i2000
χ2822-2-2-22-22002-2-200200i2i2−i2−i2-2-222000000-22002-200i2−i20000i2i2−i2−i2−i2−i2i2i2000000−i2i2000
χ2922-2-2-22-22002-2-200200−i2−i2i2i222-2-20000002-2002-200−i2i20000−i2−i2i2i2−i2−i2i2i2000000−i2i2000
χ3022-2-2-22-22002-2-200200−i2−i2i2i222-2-2000000-2200-2200−i2i20000i2i2−i2−i2−i2−i2i2i2000000i2−i2000
χ3122-2-2-22-22002-2-200200−i2−i2i2i2-2-2220000002-200-2200−i2i20000i2i2−i2−i2i2i2−i2−i2000000−i2i2000
χ3222-2-2-22-22002-2-200200−i2−i2i2i2-2-222000000-22002-200−i2i20000−i2−i2i2i2i2i2−i2−i2000000i2−i2000
χ332-22-22-2-2222-22-2-2-22-2200000000000000000000000022-2-22i−2i2i−2i0000002i−2i0000000
χ342-22-22-2-2222-22-2-2-22-2200000000000000000000000022-2-2−2i2i−2i2i000000−2i2i0000000
χ352-22-22-2-2222-22-2-2-22-22000000000000000000000000-2-2222i−2i2i−2i000000−2i2i0000000
χ362-22-22-2-2222-22-2-2-22-22000000000000000000000000-2-222−2i2i−2i2i0000002i−2i0000000
χ372-22-2-222-22-20002-20002i−2i2i−2ii2−i2i2−i2002-200002i−2i00i2−i2002−22−200002−22−20000i2−i200000
χ382-22-2-222-22-20002-20002i−2i2i−2ii2−i2i2−i200-220000−2i2i00i2−i200−22−2200002−22−20000−i2i200000
χ392-22-2-222-22-20002-20002i−2i2i−2i−i2i2−i2i2002-200002i−2i00−i2i200−22−220000−22−220000−i2i200000
χ402-22-2-222-22-20002-20002i−2i2i−2i−i2i2−i2i200-220000−2i2i00−i2i2002−22−20000−22−220000i2−i200000
χ412-22-2-222-22-20002-2000−2i2i−2i2ii2−i2i2−i2002-20000−2i2i00i2−i200−22−220000−22−220000i2−i200000
χ422-22-2-222-22-20002-2000−2i2i−2i2ii2−i2i2−i200-2200002i−2i00i2−i2002−22−20000−22−220000−i2i200000
χ432-22-2-222-22-20002-2000−2i2i−2i2i−i2i2−i2i2002-20000−2i2i00−i2i2002−22−200002−22−20000−i2i200000
χ442-22-2-222-22-20002-2000−2i2i−2i2i−i2i2−i2i200-2200002i−2i00−i2i200−22−2200002−22−20000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-44-4000-4400000000000000000000000000022−22−22220000000000000000000
χ474444-4-4-4-44-4000-44000000000000000000000000000−222222−220000000000000000000
χ484444-4-4-4-4-440004-4000000000004-40000000000000000000000000000000000000
χ494444-4-4-4-4-440004-400000000000-440000000000000000000000000000000000000
χ5044-4-4-44-4400-44400-4002i22i2−2i2−2i2000000000000000000−2i22i200000000000000000000000
χ5144-4-4-44-4400-44400-400−2i2−2i22i22i20000000000000000002i2−2i200000000000000000000000
χ524-44-44-4-44444-44-4-4-44-400000000000000000000000000000000000000000000000
χ534-44-44-4-44-4-44-4444-4-4400000000000000000000000000000000000000000000000
χ544-44-44-4-44-4-4-44-44444-400000000000000000000000000000000000000000000000
χ554-44-4-444-4-44000-4400000002i2−2i22i2−2i2000000000000−2i22i20000000000000000000000000
χ564-44-4-444-4-44000-440000000−2i22i2−2i22i20000000000002i2−2i20000000000000000000000000
χ574-4-4444-4-4000000000022−22−22222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ584-4-4444-4-4000000000022−22−2222−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ594-4-4444-4-40000000000−222222−222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ604-4-4444-4-40000000000−222222−22−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ614-4-44-4-4440044-400-4000000000000004i−4i000000000000000000000000000000000
χ624-4-44-4-4440044-400-400000000000000−4i4i000000000000000000000000000000000
χ634-4-44-4-44400-4-4400400000000000000000000000000000022−22−2222000000000000000
χ644-4-44-4-44400-4-44004000000000000000000000000000000−222222−22000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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