Finite Group Databasebeta

← Group #265254

Character table — Group #265254

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222222224444444444888888882444444444888888888888224444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111-1111-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-1-111111-1-1
χ91111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-11-11-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-11-11
χ111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-11-1-1-11-11
χ121111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-11-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-11-1111-1-11-1-11
χ172222222222-2-2-2-2-2-2222200000000-2-222-2-222-2-2000000000000000000000000
χ182222222222-2-2-2-2-2-2222200000000-2-2-2-222-2-222000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ2122222-2-2-22-22-2-222-200002222-2-2-2-200000000000000000000000002-202-20000
χ2222222-2-2-22-22-2-222-200002222-2-2-2-20000000000000000000000000-220-220000
χ2322222-2-2-22-22-2-222-20000-2-2-2-2222200000000000000000000000002-20-220000
χ2422222-2-2-22-22-2-222-20000-2-2-2-222220000000000000000000000000-2202-20000
χ252222-22-2-2-222-2-22-22000022-2-222-2-2000000000000000000000022-200-2000000
χ262222-22-2-2-222-2-22-22000022-2-222-2-20000000000000000000000-2-22002000000
χ272222-22-2-2-222-2-22-220000-2-222-2-22200000000000000000000002-2-2002000000
χ282222-22-2-2-222-2-22-220000-2-222-2-2220000000000000000000000-22200-2000000
χ292222-2-222-2-22222-2-222-2-222-2-2-2-2222-200000000220000-2-20000000000000000
χ302222-2-222-2-22222-2-222-2-2-2-22222-2-22-200000000-2-20000220000000000000000
χ312222-2-222-2-22222-2-2-2-22222-2-2-2-222-2200000000-2-20000220000000000000000
χ322222-2-222-2-22222-2-2-2-222-2-22222-2-2-2200000000220000-2-20000000000000000
χ332222-2-222-2-2-2-2-2-22222-2-200000000-2200000000002i2i−2i−2i002i2i−2i−2i000000000000
χ342222-2-222-2-2-2-2-2-22222-2-200000000-220000000000−2i−2i2i2i00−2i−2i2i2i000000000000
χ352222-2-222-2-2-2-2-2-222-2-222000000002-200000000002i2i−2i−2i00−2i−2i2i2i000000000000
χ362222-2-222-2-2-2-2-2-222-2-222000000002-20000000000−2i−2i2i2i002i2i−2i−2i000000000000
χ3722-2-22-22-2-220000002i−2i2i−2i2−22−22−22−200002-2002i−2ii2−i2i2−i2i2−i2i2−i22−22−2000000000000
χ3822-2-22-22-2-220000002i−2i2i−2i2−22−22−22−20000-2200−2i2ii2−i2−i2i2−i2i2i2−i2−22−22000000000000
χ3922-2-22-22-2-220000002i−2i2i−2i−22−22−22−2200002-2002i−2i−i2i2−i2i2−i2i2−i2i2−22−22000000000000
χ4022-2-22-22-2-220000002i−2i2i−2i−22−22−22−220000-2200−2i2i−i2i2i2−i2i2−i2−i2i22−22−2000000000000
χ4122-2-22-22-2-22000000−2i2i−2i2i2−22−22−22−200002-200−2i2i−i2i2−i2i2−i2i2−i2i22−22−2000000000000
χ4222-2-22-22-2-22000000−2i2i−2i2i2−22−22−22−20000-22002i−2i−i2i2i2−i2i2−i2−i2i2−22−22000000000000
χ4322-2-22-22-2-22000000−2i2i−2i2i−22−22−22−2200002-200−2i2ii2−i2i2−i2i2−i2i2−i2−22−22000000000000
χ4422-2-22-22-2-22000000−2i2i−2i2i−22−22−22−220000-22002i−2ii2−i2−i2i2−i2i2i2−i22−22−2000000000000
χ4522-2-2-222-22-20000002i−2i−2i2i2−2−22−222−2002i−2i002-200i2−i22−2−22−i2i2−i2i2i2−i2000000000000
χ4622-2-2-222-22-20000002i−2i−2i2i2−2−22−222−200−2i2i00-2200i2−i2−222−2−i2i2i2−i2−i2i2000000000000
χ4722-2-2-222-22-20000002i−2i−2i2i−222−22−2−22002i−2i002-200−i2i2−222−2i2−i2i2−i2−i2i2000000000000
χ4822-2-2-222-22-20000002i−2i−2i2i−222−22−2−2200−2i2i00-2200−i2i22−2−22i2−i2−i2i2i2−i2000000000000
χ4922-2-2-222-22-2000000−2i2i2i−2i2−2−22−222−2002i−2i00-2200−i2i2−222−2i2−i2−i2i2i2−i2000000000000
χ5022-2-2-222-22-2000000−2i2i2i−2i2−2−22−222−200−2i2i002-200−i2i22−2−22i2−i2i2−i2−i2i2000000000000
χ5122-2-2-222-22-2000000−2i2i2i−2i−222−22−2−22002i−2i00-2200i2−i22−2−22−i2i2i2−i2−i2i2000000000000
χ5222-2-2-222-22-2000000−2i2i2i−2i−222−22−2−2200−2i2i002-200i2−i2−222−2−i2i2−i2i2i2−i2000000000000
χ5344444-4-4-44-4-444-4-440000000000000000000000000000000000000000000000
χ544444-44-4-4-44-444-44-40000000000000000000000000000000000000000000000
χ5544-4-444-44-4-4000000000022−2222−22−2222−22220000000000000000000000000000000000
χ5644-4-444-44-4-40000000000−2222−222222−2222−220000000000000000000000000000000000
χ5744-4-4-4-4-4444000000000022−22−222222−22−22220000000000000000000000000000000000
χ5844-4-4-4-4-44440000000000−222222−22−222222−220000000000000000000000000000000000
χ598-88-800000008i−8i0000000000000000000000000000000000000000000000000
χ608-88-80000000−8i8i0000000000000000000000000000000000000000000000000
χ618-8-88000000800-8000000000000000000000000000000000000000000000000
χ628-8-88000000-8008000000000000000000000000000000000000000000000000

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