Finite Group Databasebeta

← Group #340103

Character table — Group #340103

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111-1-111-1-1-1-111111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-111-1-111-1-11111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111111-11
χ71111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-11-1
χ9111111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-111-1-111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-11-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-1-111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1
χ172222222222-2-22-2-22-2-222220000002200-2-20022000000-2-2000000000-2000000000
χ182222222222-2-22-2-22-2-22222000000-2-2002200-2-2000000-2-20000000002000000000
χ192222222222-2-22-2-22-2-2-2-2-2-200000022002200-2-200000022000000000-2000000000
χ202222222222-2-22-2-22-2-2-2-2-2-2000000-2-200-2-20022000000220000000002000000000
χ2122222222-2-222-222-2-2-2000022222200-2-2002200-2-200000000000000-20000000000
χ2222222222-2-222-222-2-2-200002222-2-2002200-2-200-2-20000000000000020000000000
χ2322222222-2-222-222-2-2-20000-2-2-2-222002200-2-2002200000000000000-20000000000
χ2422222222-2-222-222-2-2-20000-2-2-2-2-2-200-2-2002200220000000000000020000000000
χ2522-2-222-2-22-200-2002002i2i−2i−2i22−2−2002-20000002i−2i2−2i2i2−i2−i2000000i2i2−i2−i200002−200000
χ2622-2-222-2-22-200-2002002i2i−2i−2i22−2−200-22000000−2i2i2−2−i2−i2i2i2000000i2i2−i2−i20000−2200000
χ2722-2-222-2-22-200-2002002i2i−2i−2i−2−222002-20000002i−2i−22−i2−i2i2i2000000−i2−i2i2i20000−2200000
χ2822-2-222-2-22-200-2002002i2i−2i−2i−2−22200-22000000−2i2i−22i2i2−i2−i2000000−i2−i2i2i200002−200000
χ2922-2-222-2-22-200-200200−2i−2i2i2i22−2−2002-2000000−2i2i2−2−i2−i2i2i2000000−i2−i2i2i200002−200000
χ3022-2-222-2-22-200-200200−2i−2i2i2i22−2−200-220000002i−2i2−2i2i2−i2−i2000000−i2−i2i2i20000−2200000
χ3122-2-222-2-22-200-200200−2i−2i2i2i−2−222002-2000000−2i2i−22i2i2−i2−i2000000i2i2−i2−i20000−2200000
χ3222-2-222-2-22-200-200200−2i−2i2i2i−2−22200-220000002i−2i−22−i2−i2i2i2000000i2i2−i2−i200002−200000
χ332-2-222-22-2002-202-2000i2−i2i2−i22i−2i2i−2i2-20000002i−2i00000000i2−i222−2−22−22−2000000i2−i2000
χ342-2-222-22-2002-202-2000i2−i2i2−i22i−2i2i−2i-22000000−2i2i00000000i2−i2−2−2222−22−2000000−i2i2000
χ352-2-222-22-2002-202-2000i2−i2i2−i2−2i2i−2i2i2-2000000−2i2i00000000i2−i2−2−222−22−22000000i2−i2000
χ362-2-222-22-2002-202-2000i2−i2i2−i2−2i2i−2i2i-220000002i−2i00000000i2−i222−2−2−22−22000000−i2i2000
χ372-2-222-22-2002-202-2000−i2i2−i2i22i−2i2i−2i2-20000002i−2i00000000−i2i2−2−222−22−22000000−i2i2000
χ382-2-222-22-2002-202-2000−i2i2−i2i22i−2i2i−2i-22000000−2i2i00000000−i2i222−2−2−22−22000000i2−i2000
χ392-2-222-22-2002-202-2000−i2i2−i2i2−2i2i−2i2i2-2000000−2i2i00000000−i2i222−2−22−22−2000000−i2i2000
χ402-2-222-22-2002-202-2000−i2i2−i2i2−2i2i−2i2i-220000002i−2i00000000−i2i2−2−2222−22−2000000i2−i2000
χ412-2-2-2-2222-2-2-2-222222-200000000000000000000002-22-2002-22-20000002-20000000
χ422-2-2-2-2222-2-2-2-222222-200000000000000000000002-22-200-22-22000000-220000000
χ432-2-2-2-2222-2-2-2-222222-20000000000000000000000-22-22002-22-2000000-220000000
χ442-2-2-2-2222-2-2-2-222222-20000000000000000000000-22-2200-22-220000002-20000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-4004-40-440000000000000004-4000000000000000000000000000000000
χ47444-4-4-44-4004-40-44000000000000000-44000000000000000000000000000000000
χ48444-4-4-44-400-4404-4000000000000000000000000000000022−22−2222000000000000000
χ49444-4-4-44-400-4404-40000000000000000000000000000000−222222−22000000000000000
χ5044-4-444-4-4-4400400-40000002222−22−22000000000000−22220000000000000000000000000
χ5144-4-444-4-4-4400400-4000000−22−22222200000000000022−220000000000000000000000000
χ524-444-44-4-44-400400-400000000000000004-40000000000000000000000000000000
χ534-444-44-4-44-400400-40000000000000000-440000000000000000000000000000000
χ544-444-44-4-4-4400-40040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ554-444-44-4-4-4400-4004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ564-44-44-4-44000000000022−22−22222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ574-44-44-4-44000000000022−22−2222−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ584-44-44-4-440000000000−222222−222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ594-44-44-4-440000000000−222222−22−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ604-4-444-44-400-440-440002i2−2i22i2−2i20000000000000000000000−2i22i20000000000000000000
χ614-4-444-44-400-440-44000−2i22i2−2i22i200000000000000000000002i2−2i20000000000000000000
χ624-4-4-4-44444444-4-4-4-44-400000000000000000000000000000000000000000000000
χ634-4-4-4-444444-4-4-444-4-4400000000000000000000000000000000000000000000000
χ644-4-4-4-4444-4-4444-4-44-4400000000000000000000000000000000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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