Finite Group Databasebeta

← Group #340447

Character table — Group #340447

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
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
χ51111111111111111111111-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ9111111111111111111-1-1-1-111111111-1-1111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-11-1-1
χ11111111111111111111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ17222222222-2-22-222-2-2-2222200002200-2-20000-2-2-2-20000000000000002000000000
χ18222222222-2-22-222-2-2-222220000-2-20022000022-2-2000000000000000-2000000000
χ19222222222-2-22-222-2-2-2-2-2-2-200002200220000-2-222000000000000000-2000000000
χ20222222222-2-22-222-2-2-2-2-2-2-20000-2-200-2-2000022220000000000000002000000000
χ2122222222-222-22-2-22-2-200002222002200-2-2-2-20000-2-200000000000020000000000
χ2222222222-222-22-2-22-2-20000222200-2-20022220000-2-2000000000000-20000000000
χ2322222222-222-22-2-22-2-20000-2-2-2-2002200-2-222000022000000000000-20000000000
χ2422222222-222-22-2-22-2-20000-2-2-2-200-2-20022-2-200002200000000000020000000000
χ252-222-2-2-22-2222-2-22-2-220000000000000000000000002i2i−2i−2i2i2i−2i−2i0000002-20000000
χ262-222-2-2-22-2222-2-22-2-220000000000000000000000002i2i−2i−2i−2i−2i2i2i000000-220000000
χ272-222-2-2-22-2222-2-22-2-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000-220000000
χ282-222-2-2-22-2222-2-22-2-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000002-20000000
χ292-22-222-2-2-200-202200022-2-222−2−200002i−2i00002i−2i002−20000i2−i2i2−i222−2−2000000i2−i2000
χ302-22-222-2-2-200-202200022-2-222−2−20000−2i2i0000−2i2i002−20000−i2i2−i2i222−2−2000000−i2i2000
χ312-22-222-2-2-200-202200022-2-2−2−22200002i−2i00002i−2i00−220000−i2i2−i2i2−2−222000000−i2i2000
χ322-22-222-2-2-200-202200022-2-2−2−2220000−2i2i0000−2i2i00−220000i2−i2i2−i2−2−222000000i2−i2000
χ332-22-222-2-2-200-2022000-2-22222−2−200002i−2i0000−2i2i002−20000−i2i2−i2i2−2−222000000i2−i2000
χ342-22-222-2-2-200-2022000-2-22222−2−20000−2i2i00002i−2i002−20000i2−i2i2−i2−2−222000000−i2i2000
χ352-22-222-2-2-200-2022000-2-222−2−22200002i−2i0000−2i2i00−220000i2−i2i2−i222−2−2000000−i2i2000
χ362-22-222-2-2-200-2022000-2-222−2−2220000−2i2i00002i−2i00−220000−i2i2−i2i222−2−2000000i2−i2000
χ372-2-2-2-222202-20-2002002−22−22-22-20000002-22-2002−2002−22−200002−22−200002−200000
χ382-2-2-2-222202-20-2002002−22−22-22-2000000-22-22002−200−22−2200002−22−20000−2200000
χ392-2-2-2-222202-20-2002002−22−2-22-220000002-2-22002−2002−22−20000−22−220000−2200000
χ402-2-2-2-222202-20-2002002−22−2-22-22000000-222-2002−200−22−220000−22−2200002−200000
χ412-2-2-2-222202-20-200200−22−222-22-20000002-22-200−2200−22−220000−22−220000−2200000
χ422-2-2-2-222202-20-200200−22−222-22-2000000-22-2200−22002−22−20000−22−2200002−200000
χ432-2-2-2-222202-20-200200−22−22-22-220000002-2-2200−2200−22−2200002−22−200002−200000
χ442-2-2-2-222202-20-200200−22−22-22-22000000-222-200−22002−22−200002−22−20000−2200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-4400-40-44000000000000000000000000000000022−22−2222000000000000000
χ47444-4-4-44-4400-40-440000000000000000000000000000000−222222−22000000000000000
χ48444-4-4-44-4-400404-4000000000004-40000000000000000000000000000000000000
χ49444-4-4-44-4-400404-400000000000-440000000000000000000000000000000000000
χ5044-44-44-4-4000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ5144-44-44-4-4000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ5244-44-44-4-40000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ5344-44-44-4-40000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ5444-4-44-4-4404-40400-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5544-4-44-4-4404-40400-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5644-4-44-4-440-440-40040000000000004-400000000000000000000000000000000000
χ5744-4-44-4-440-440-4004000000000000-4400000000000000000000000000000000000
χ584-444-4-4-44444-4-44-4-44-400000000000000000000000000000000000000000000000
χ594-444-4-4-444-4-4-444-44-4400000000000000000000000000000000000000000000000
χ604-444-4-4-44-4-4-444-4444-400000000000000000000000000000000000000000000000
χ614-44-444-4-440040-4-400000002222−22−2200000000000000−222200000000000000000000000
χ624-44-444-4-440040-4-40000000−22−2222220000000000000022−2200000000000000000000000
χ634-4-4-4-44440-440400-40022−2222−220000000000000000−22220000000000000000000000000
χ644-4-4-4-44440-440400-400−2222−2222000000000000000022−220000000000000000000000000
χ658-8-888-88-8000000000000000000000000000000000000000000000000000000000

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