Finite Group Databasebeta

← Group #333783

Character table — Group #333783

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888822448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-11-1-111-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-11-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ61111111111111111111111-1-1-1-111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111-1-1-1-1111-1-1
χ9111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-11
χ11111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-11-1
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
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1
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
χ17222222222-22-2-222-2-2-222220000220022-2-2000000-2-2000000000000000-20000000
χ18222222222-22-2-222-2-2-222220000-2-200-2-222000000-2-200000000000000020000000
χ19222222222-22-2-222-2-2-2-2-2-2-200002200-2-22200000022000000000000000-20000000
χ20222222222-22-2-222-2-2-2-2-2-2-20000-2-20022-2-20000002200000000000000020000000
χ2122222222-22-222-2-22-2-20000222200220000-2-222-2-20000000000000000-200000000
χ2222222222-22-222-2-22-2-20000222200-2-2000022-2-2-2-20000000000000000200000000
χ2322222222-22-222-2-22-2-20000-2-2-2-20022000022-2-2220000000000000000-200000000
χ2422222222-22-222-2-22-2-20000-2-2-2-200-2-20000-2-222220000000000000000200000000
χ25222-22-2-2-2-202002-200022-2-2i2i2−i2−i22-2002-2000000i2−i2000000i2i2−i2−i2i2i2−i2−i2000000i2−i2000
χ26222-22-2-2-2-202002-200022-2-2i2i2−i2−i2-2200-22000000i2−i2000000−i2−i2i2i2i2i2−i2−i2000000−i2i2000
χ27222-22-2-2-2-202002-200022-2-2−i2−i2i2i22-2002-2000000−i2i2000000−i2−i2i2i2−i2−i2i2i2000000−i2i2000
χ28222-22-2-2-2-202002-200022-2-2−i2−i2i2i2-2200-22000000−i2i2000000i2i2−i2−i2−i2−i2i2i2000000i2−i2000
χ29222-22-2-2-2-202002-2000-2-222i2i2−i2−i22-200-22000000i2−i2000000−i2−i2i2i2−i2−i2i2i2000000i2−i2000
χ30222-22-2-2-2-202002-2000-2-222i2i2−i2−i2-22002-2000000i2−i2000000i2i2−i2−i2−i2−i2i2i2000000−i2i2000
χ31222-22-2-2-2-202002-2000-2-222−i2−i2i2i22-200-22000000−i2i2000000i2i2−i2−i2i2i2−i2−i2000000−i2i2000
χ32222-22-2-2-2-202002-2000-2-222−i2−i2i2i2-22002-2000000−i2i2000000−i2−i2i2i2i2i2−i2−i2000000i2−i2000
χ332-222-2-22-20202-200-2002−22−22i−2i2i−2i002-20000002i−2i002−2i2i2−i2−i20000i2−i2i2−i200002−200000
χ342-222-2-22-20202-200-2002−22−22i−2i2i−2i00-22000000−2i2i002−2−i2−i2i2i20000i2−i2i2−i20000−2200000
χ352-222-2-22-20202-200-2002−22−2−2i2i−2i2i002-2000000−2i2i002−2−i2−i2i2i20000−i2i2−i2i200002−200000
χ362-222-2-22-20202-200-2002−22−2−2i2i−2i2i00-220000002i−2i002−2i2i2−i2−i20000−i2i2−i2i20000−2200000
χ372-222-2-22-20202-200-200−22−222i−2i2i−2i002-20000002i−2i00−22−i2−i2i2i20000−i2i2−i2i20000−2200000
χ382-222-2-22-20202-200-200−22−222i−2i2i−2i00-22000000−2i2i00−22i2i2−i2−i20000−i2i2−i2i200002−200000
χ392-222-2-22-20202-200-200−22−22−2i2i−2i2i002-2000000−2i2i00−22i2i2−i2−i20000i2−i2i2−i20000−2200000
χ402-222-2-22-20202-200-200−22−22−2i2i−2i2i00-220000002i−2i00−22−i2−i2i2i20000i2−i2i2−i200002−200000
χ412-2-2-22-222-222-2-2-222-220000000000000000000000002-22-22-22-200002-2000000000
χ422-2-2-22-222-222-2-2-222-220000000000000000000000002-22-2-22-220000-22000000000
χ432-2-2-22-222-222-2-2-222-22000000000000000000000000-22-222-22-20000-22000000000
χ442-2-2-22-222-222-2-2-222-22000000000000000000000000-22-22-22-2200002-2000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-440-400-4400000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ47444-44-4-4-440-400-440000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ4844-4-4-444-4040-4400-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ4944-4-4-444-4040-4400-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5044-4-4-444-40-404-40040000000000000000004-400000000000000000000000000000
χ5144-4-4-444-40-404-4004000000000000000000-4400000000000000000000000000000
χ524-444-4-44-40-40-440040022−2222−22000000000000000000−222200000000000000000000000
χ534-444-4-44-40-40-4400400−2222−222200000000000000000022−2200000000000000000000000
χ544-44-4-44-44000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ554-44-4-44-44000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ564-44-4-44-440000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ574-44-4-44-440000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ584-4-4444-4-440400-4-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ594-4-4444-4-440400-4-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ604-4-4444-4-4-40-40044000000000000000004-40000000000000000000000000000000
χ614-4-4444-4-4-40-4004400000000000000000-440000000000000000000000000000000
χ624-4-4-44-44444-4-4-44-444-400000000000000000000000000000000000000000000000
χ634-4-4-44-4444-4-4444-4-4-4400000000000000000000000000000000000000000000000
χ644-4-4-44-444-4-4444-44-44-400000000000000000000000000000000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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