Finite Group Databasebeta

← Group #336823

Character table — Group #336823

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-111111111-11-1-1-1-111-1-1-1
χ311111111111111111111111111-1-111-1-11111-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-11
χ9111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-11-1
χ11111111111111111111-1-1-1-11111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-11-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-111
χ1722222222222-2-2-2-22-2-200002222002200-2-2220000-2-2000000000000-20000000000
χ1822222222222-2-2-2-22-2-20000222200-2-20022-2-20000-2-200000000000020000000000
χ1922222222222-2-2-2-22-2-20000-2-2-2-200220022-2-2000022000000000000-20000000000
χ2022222222222-2-2-2-22-2-20000-2-2-2-200-2-200-2-22200002200000000000020000000000
χ2122222222-2-2-22222-2-2-2222200002200-2-2000022-2-2000000000000000-2000000000
χ2222222222-2-2-22222-2-2-222220000-2-200220000-2-2-2-20000000000000002000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-200002200-2-20000-2-2220000000000000002000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-20000-2-2002200002222000000000000000-2000000000
χ25222-2-2-2-220002-22-200022-2-2i2i2−i2−i22-2000000002-200i2−i20000i2i2−i2−i2i2i2−i2−i2000000i2−i2000
χ26222-2-2-2-220002-22-200022-2-2i2i2−i2−i2-2200000000-2200i2−i20000−i2−i2i2i2i2i2−i2−i2000000−i2i2000
χ27222-2-2-2-220002-22-200022-2-2−i2−i2i2i22-2000000002-200−i2i20000−i2−i2i2i2−i2−i2i2i2000000−i2i2000
χ28222-2-2-2-220002-22-200022-2-2−i2−i2i2i2-2200000000-2200−i2i20000i2i2−i2−i2−i2−i2i2i2000000i2−i2000
χ29222-2-2-2-220002-22-2000-2-222i2i2−i2−i22-200000000-2200i2−i20000i2i2−i2−i2−i2−i2i2i2000000−i2i2000
χ30222-2-2-2-220002-22-2000-2-222i2i2−i2−i2-22000000002-200i2−i20000−i2−i2i2i2−i2−i2i2i2000000i2−i2000
χ31222-2-2-2-220002-22-2000-2-222−i2−i2i2i22-200000000-2200−i2i20000−i2−i2i2i2i2i2−i2−i2000000i2−i2000
χ32222-2-2-2-220002-22-2000-2-222−i2−i2i2i2-22000000002-200−i2i20000i2i2−i2−i2i2i2−i2−i2000000−i2i2000
χ332-222-22-2-2-2-2222-2-222-20000000000000000000000002i2i−2i−2i2-22-20000002i−2i0000000
χ342-222-22-2-2-2-2222-2-222-20000000000000000000000002i2i−2i−2i-22-22000000−2i2i0000000
χ352-222-22-2-2-2-2222-2-222-2000000000000000000000000−2i−2i2i2i2-22-2000000−2i2i0000000
χ362-222-22-2-2-2-2222-2-222-2000000000000000000000000−2i−2i2i2i-22-220000002i−2i0000000
χ372-2-222-2-222-220000-2002−22−22i−2i2i−2i002-200002i−2i002−200i2−i2i2−i20000i2−i2i2−i200002−200000
χ382-2-222-2-222-220000-2002−22−22i−2i2i−2i00-220000−2i2i002−200−i2i2−i2i20000i2−i2i2−i20000−2200000
χ392-2-222-2-222-220000-2002−22−2−2i2i−2i2i002-20000−2i2i002−200−i2i2−i2i20000−i2i2−i2i200002−200000
χ402-2-222-2-222-220000-2002−22−2−2i2i−2i2i00-2200002i−2i002−200i2−i2i2−i20000−i2i2−i2i20000−2200000
χ412-2-222-2-222-220000-200−22−222i−2i2i−2i002-200002i−2i00−2200−i2i2−i2i20000−i2i2−i2i20000−2200000
χ422-2-222-2-222-220000-200−22−222i−2i2i−2i00-220000−2i2i00−2200i2−i2i2−i20000−i2i2−i2i200002−200000
χ432-2-222-2-222-220000-200−22−22−2i2i−2i2i002-20000−2i2i00−2200i2−i2i2−i20000i2−i2i2−i20000−2200000
χ442-2-222-2-222-220000-200−22−22−2i2i−2i2i00-2200002i−2i00−2200−i2i2−i2i20000i2−i2i2−i200002−200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-4-44000-44-4400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ47444-4-4-4-44000-44-440000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ4844-44-4-44-44-4-40000400000000000000004i−4i0000000000000000000000000000000
χ4944-44-4-44-44-4-4000040000000000000000−4i4i0000000000000000000000000000000
χ5044-44-4-44-4-4440000-40000000000000000000000000022−22−22220000000000000000000
χ5144-44-4-44-4-4440000-400000000000000000000000000−222222−220000000000000000000
χ524-444-44-4-444-444-4-4-4-4400000000000000000000000000000000000000000000000
χ534-444-44-4-444-4-4-444-44-400000000000000000000000000000000000000000000000
χ544-444-44-4-4-4-44-4-4444-4400000000000000000000000000000000000000000000000
χ554-44-44-44-40004-4-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ564-44-44-44-40004-4-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ574-44-44-44-4000-444-40000000000000004i−4i000000000000000000000000000000000
χ584-44-44-44-4000-444-4000000000000000−4i4i000000000000000000000000000000000
χ594-4-444-4-44-44-4000040022−2222−220000000000000000−22220000000000000000000000000
χ604-4-444-4-44-44-40000400−2222−2222000000000000000022−220000000000000000000000000
χ614-4-4-4-4444000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ624-4-4-4-4444000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ634-4-4-4-44440000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ644-4-4-4-44440000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000

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