Finite Group Databasebeta

← Group #338682

Character table — Group #338682

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111-1-1111111-1-1-1-1111111-11-1-1-1-111-1-1-1
χ311111111111111111111111111-1-111-1-111-1-11111-1-1-1-111111111111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-111111-11
χ9111111111111111111-1-1-1-111111111-1-1111111-1-11111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1
χ11111111111111111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-11111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-11
χ17222222222-2-22-2-222-2-200002222002200-2-200-2-20000000000-2-2000020000000000
χ18222222222-2-22-2-222-2-20000222200-2-2002200220000000000-2-20000-20000000000
χ19222222222-2-22-2-222-2-20000-2-2-2-20022002200-2-20000000000220000-20000000000
χ20222222222-2-22-2-222-2-20000-2-2-2-200-2-200-2-20022000000000022000020000000000
χ2122222222-222-222-2-2-2-2222200002200-2-200-2-200-2-20000000000000002000000000
χ2222222222-222-222-2-2-2-222220000-2-20022002200-2-2000000000000000-2000000000
χ2322222222-222-222-2-2-2-2-2-2-2-2000022002200-2-20022000000000000000-2000000000
χ2422222222-222-222-2-2-2-2-2-2-2-20000-2-200-2-2002200220000000000000002000000000
χ2522-22-2-22-2-2-2-2222-22-2200000000000000000000002i2i−2i−2i22-2-2000000002i−2i0000000
χ2622-22-2-22-2-2-2-2222-22-2200000000000000000000002i2i−2i−2i-2-22200000000−2i2i0000000
χ2722-22-2-22-2-2-2-2222-22-220000000000000000000000−2i−2i2i2i22-2-200000000−2i2i0000000
χ2822-22-2-22-2-2-2-2222-22-220000000000000000000000−2i−2i2i2i-2-222000000002i−2i0000000
χ2922-2-22-2-2202-202-200002i2i−2i−2ii2i2−i2−i200002i−2i002-20000i2−i2i2−i20000i2−i222−2−20000002−2000
χ3022-2-22-2-2202-202-200002i2i−2i−2ii2i2−i2−i20000−2i2i00-220000−i2i2−i2i20000i2−i222−2−2000000−22000
χ3122-2-22-2-2202-202-200002i2i−2i−2i−i2−i2i2i200002i−2i002-20000−i2i2−i2i20000−i2i2−2−222000000−22000
χ3222-2-22-2-2202-202-200002i2i−2i−2i−i2−i2i2i20000−2i2i00-220000i2−i2i2−i20000−i2i2−2−2220000002−2000
χ3322-2-22-2-2202-202-20000−2i−2i2i2ii2i2−i2−i200002i−2i00-220000−i2i2−i2i20000i2−i2−2−2220000002−2000
χ3422-2-22-2-2202-202-20000−2i−2i2i2ii2i2−i2−i20000−2i2i002-20000i2−i2i2−i20000i2−i2−2−222000000−22000
χ3522-2-22-2-2202-202-20000−2i−2i2i2i−i2−i2i2i200002i−2i00-220000i2−i2i2−i20000−i2i222−2−2000000−22000
χ3622-2-22-2-2202-202-20000−2i−2i2i2i−i2−i2i2i20000−2i2i002-20000−i2i2−i2i20000−i2i222−2−20000002−2000
χ372-222-2-2-22200-200-2200i2−i2i2−i22i−2i2i−2i0000002i−2i002-2i2−i20000i2−i2i2−i2002−22−200002−200000
χ382-222-2-2-22200-200-2200i2−i2i2−i22i−2i2i−2i000000−2i2i00-22i2−i20000−i2i2−i2i2002−22−20000−2200000
χ392-222-2-2-22200-200-2200i2−i2i2−i2−2i2i−2i2i0000002i−2i00-22i2−i20000−i2i2−i2i200−22−2200002−200000
χ402-222-2-2-22200-200-2200i2−i2i2−i2−2i2i−2i2i000000−2i2i002-2i2−i20000i2−i2i2−i200−22−220000−2200000
χ412-222-2-2-22200-200-2200−i2i2−i2i22i−2i2i−2i0000002i−2i002-2−i2i20000−i2i2−i2i200−22−220000−2200000
χ422-222-2-2-22200-200-2200−i2i2−i2i22i−2i2i−2i000000−2i2i00-22−i2i20000i2−i2i2−i200−22−2200002−200000
χ432-222-2-2-22200-200-2200−i2i2−i2i2−2i2i−2i2i0000002i−2i00-22−i2i20000i2−i2i2−i2002−22−20000−2200000
χ442-222-2-2-22200-200-2200−i2i2−i2i2−2i2i−2i2i000000−2i2i002-2−i2i20000−i2i2−i2i2002−22−200002−200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-404-40-440000000000004-40000000000000000000000000000000000000
χ47444-4-44-4-404-40-44000000000000-440000000000000000000000000000000000000
χ48444-4-44-4-40-4404-40000000000000000000000000022−22−2222000000000000000000000
χ49444-4-44-4-40-4404-400000000000000000000000000−222222−22000000000000000000000
χ5044-44-4-44-4444-4-4-44-4-4400000000000000000000000000000000000000000000000
χ5144-44-4-44-44-4-4-4444-44-400000000000000000000000000000000000000000000000
χ5244-44-4-44-4-4444-4-4-444-400000000000000000000000000000000000000000000000
χ5344-4-44-4-440-440-44000000002i22i2−2i2−2i20000000000000000000000−2i22i2000000000000000
χ5444-4-44-4-440-440-4400000000−2i2−2i22i22i200000000000000000000002i2−2i2000000000000000
χ554-444-4-4-44-4004004-4002i2−2i22i2−2i20000000000000000−2i22i20000000000000000000000000
χ564-444-4-4-44-4004004-400−2i22i2−2i22i200000000000000002i2−2i20000000000000000000000000
χ574-4-4444-4-4400400-4-40000000000004-400000000000000000000000000000000000
χ584-4-4444-4-4400400-4-4000000000000-4400000000000000000000000000000000000
χ594-4-4444-4-4-400-4004400000000000000000000000000002i2−2i2−2i22i200000000000000000
χ604-4-4444-4-4-400-400440000000000000000000000000000−2i22i22i2−2i200000000000000000
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
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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