Finite Group Databasebeta

← Group #335137

Character table — Group #335137

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888822448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-11-1-1-111-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ61111111111111111111111-1-1-1-111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1111-1-1
χ9111111111111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111111-11
χ11111111111111111111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11
χ1722222222222-2-2-2-22-2-20000222200220000-2-22200-2-2000000000000000-20000000
χ1822222222222-2-2-2-22-2-20000222200-2-2000022-2-200-2-200000000000000020000000
χ1922222222222-2-2-2-22-2-20000-2-2-2-20022000022-2-20022000000000000000-20000000
χ2022222222222-2-2-2-22-2-20000-2-2-2-200-2-20000-2-222002200000000000000020000000
χ2122222222-2-2-22222-2-2-222220000220022-2-20000-2-20000000000000000-200000000
χ2222222222-2-2-22222-2-2-222220000-2-200-2-2220000-2-20000000000000000200000000
χ2322222222-2-2-22222-2-2-2-2-2-2-200002200-2-2220000220000000000000000-200000000
χ2422222222-2-2-22222-2-2-2-2-2-2-20000-2-20022-2-20000220000000000000000200000000
χ252222-2-2-2-20002-22-200022-2-2i2i2−i2−i22-2002-200000000i2−i20000i2i2−i2−i2i2i2−i2−i2000000i2−i2000
χ262222-2-2-2-20002-22-200022-2-2i2i2−i2−i2-2200-2200000000i2−i20000−i2−i2i2i2i2i2−i2−i2000000−i2i2000
χ272222-2-2-2-20002-22-200022-2-2−i2−i2i2i22-2002-200000000−i2i20000−i2−i2i2i2−i2−i2i2i2000000−i2i2000
χ282222-2-2-2-20002-22-200022-2-2−i2−i2i2i2-2200-2200000000−i2i20000i2i2−i2−i2−i2−i2i2i2000000i2−i2000
χ292222-2-2-2-20002-22-2000-2-222i2i2−i2−i22-200-2200000000i2−i20000−i2−i2i2i2−i2−i2i2i2000000i2−i2000
χ302222-2-2-2-20002-22-2000-2-222i2i2−i2−i2-22002-200000000i2−i20000i2i2−i2−i2−i2−i2i2i2000000−i2i2000
χ312222-2-2-2-20002-22-2000-2-222−i2−i2i2i22-200-2200000000−i2i20000i2i2−i2−i2i2i2−i2−i2000000−i2i2000
χ322222-2-2-2-20002-22-2000-2-222−i2−i2i2i2-22002-200000000−i2i20000−i2−i2i2i2i2i2−i2−i2000000i2−i2000
χ332-22-222-2-222-20000-2002−22−22i−2i2i−2i002-20000002i−2i2−200i2i2−i2−i20000i2−i2i2−i200002−200000
χ342-22-222-2-222-20000-2002−22−22i−2i2i−2i00-22000000−2i2i2−200−i2−i2i2i20000i2−i2i2−i20000−2200000
χ352-22-222-2-222-20000-2002−22−2−2i2i−2i2i002-2000000−2i2i2−200−i2−i2i2i20000−i2i2−i2i200002−200000
χ362-22-222-2-222-20000-2002−22−2−2i2i−2i2i00-220000002i−2i2−200i2i2−i2−i20000−i2i2−i2i20000−2200000
χ372-22-222-2-222-20000-200−22−222i−2i2i−2i002-20000002i−2i−2200−i2−i2i2i20000−i2i2−i2i20000−2200000
χ382-22-222-2-222-20000-200−22−222i−2i2i−2i00-22000000−2i2i−2200i2i2−i2−i20000−i2i2−i2i200002−200000
χ392-22-222-2-222-20000-200−22−22−2i2i−2i2i002-2000000−2i2i−2200i2i2−i2−i20000i2−i2i2−i20000−2200000
χ402-22-222-2-222-20000-200−22−22−2i2i−2i2i00-220000002i−2i−2200−i2−i2i2i20000i2−i2i2−i200002−200000
χ412-2-222-22-2-22222-2-2-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i00002-2000000000
χ422-2-222-22-2-22222-2-2-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i0000-22000000000
χ432-2-222-22-2-22222-2-2-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000-22000000000
χ442-2-222-22-2-22222-2-2-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i00002-2000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-4000-44-4400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ474444-4-4-4-4000-44-440000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ4844-4-44-4-444-440000-40000000000000000004i−4i00000000000000000000000000000
χ4944-4-44-4-444-440000-4000000000000000000−4i4i00000000000000000000000000000
χ5044-4-44-4-44-44-4000040000000000000000000000000022−22−22220000000000000000000
χ5144-4-44-4-44-44-40000400000000000000000000000000−222222−220000000000000000000
χ524-44-444-4-4-4-44000040022−2222−220000000000000000−22220000000000000000000000000
χ534-44-444-4-4-4-440000400−2222−2222000000000000000022−220000000000000000000000000
χ544-44-4-4-444000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ554-44-4-4-444000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ564-44-4-4-4440000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ574-44-4-4-4440000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ584-4-444-44-44-4-444-4-44-4400000000000000000000000000000000000000000000000
χ594-4-444-44-44-4-4-4-44444-400000000000000000000000000000000000000000000000
χ604-4-444-44-4-444-4-444-4-4400000000000000000000000000000000000000000000000
χ614-4-44-44-440004-4-44000000000000000000000000000000022−22−2222000000000000000
χ624-4-44-44-440004-4-440000000000000000000000000000000−222222−22000000000000000
χ634-4-44-44-44000-444-4000000000000000004-40000000000000000000000000000000
χ644-4-44-44-44000-444-400000000000000000-440000000000000000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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