Finite Group Databasebeta

← Group #321952

Character table — Group #321952

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222244444444448888888888884444888888888888888888224488882244
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-111-1-11-11-1
χ101111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-1-111-11-11
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-11-111-1-1-11-11
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-11-1-1111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-11-1-11
χ17222222222-2-2-2-22-2-22222-2-2-2-2222222-2-2-2-20000000000000000000000000000
χ18222222222-2-2-2-22-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ19222222222-2-2-2-22-2-2-2-2-2-222222222-2-222-2-20000000000000000000000000000
χ20222222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-222-2-2220000000000000000000000000000
χ212222-2-222-22222-2-2-222-2-222-2-20000000000000000000000000022-2-200000000
χ222222-2-222-22222-2-2-222-2-222-2-200000000000000000000000000-2-22200000000
χ232222-2-222-22222-2-2-2-2-222-2-222000000000000000000000000002-2-2200000000
χ242222-2-222-22222-2-2-2-2-222-2-22200000000000000000000000000-222-200000000
χ252222-2-222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000002i−2i2i−2i0000
χ262222-2-222-2-2-2-2-2-22222-2-2-2-222000000000000000000000000000000−2i2i−2i2i0000
χ272222-2-222-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000002i−2i−2i2i0000
χ282222-2-222-2-2-2-2-2-222-2-22222-2-2000000000000000000000000000000−2i2i2i−2i0000
χ292222-2-2-2-2222-2-222-20000000022-2-200002-2000022-2-2000022-2-2000000000000
χ302222-2-2-2-2222-2-222-20000000022-2-200002-20000-2-2220000-2-222000000000000
χ312222-2-2-2-2222-2-222-200000000-2-2220000-22000022-2-20000-2-222000000000000
χ322222-2-2-2-2222-2-222-200000000-2-2220000-220000-2-222000022-2-2000000000000
χ332222-2-2-2-22-2-2222-220000000022-2-20000-2222-2-2000022-2-20000000000000000
χ342222-2-2-2-22-2-2222-220000000022-2-20000-22-2-2220000-2-2220000000000000000
χ352222-2-2-2-22-2-2222-2200000000-2-22200002-222-2-20000-2-2220000000000000000
χ362222-2-2-2-22-2-2222-2200000000-2-22200002-2-2-222000022-2-20000000000000000
χ3722-2-22-22-220000-20000002-22-22i−2i2i−2i002i−2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ3822-2-22-22-220000-20000002-22-22i−2i2i−2i002i−2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ3922-2-22-22-220000-20000002-22-2−2i2i−2i2i00−2i2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ4022-2-22-22-220000-20000002-22-2−2i2i−2i2i00−2i2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ4122-2-22-22-220000-2000000-22-222i−2i2i−2i00−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ4222-2-22-22-220000-2000000-22-222i−2i2i−2i00−2i2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ4322-2-22-22-220000-2000000-22-22−2i2i−2i2i002i−2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ4422-2-22-22-220000-2000000-22-22−2i2i−2i2i002i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ4522-2-2-22-2220000-2002-22-200002i−2i−2i2i2i−2i00002−2−222−2−22i2−i2−i2i2i2−i2−i2i2000000000000
χ4622-2-2-22-2220000-2002-22-200002i−2i−2i2i2i−2i0000−222−2−222−2−i2i2i2−i2−i2i2i2−i2000000000000
χ4722-2-2-22-2220000-2002-22-20000−2i2i2i−2i−2i2i00002−2−222−2−22−i2i2i2−i2−i2i2i2−i2000000000000
χ4822-2-2-22-2220000-2002-22-20000−2i2i2i−2i−2i2i0000−222−2−222−2i2−i2−i2i2i2−i2−i2i2000000000000
χ4922-2-2-22-2220000-200-22-2200002i−2i−2i2i−2i2i00002−2−22−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ5022-2-2-22-2220000-200-22-2200002i−2i−2i2i−2i2i0000−222−22−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ5122-2-2-22-2220000-200-22-220000−2i2i2i−2i2i−2i00002−2−22−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ5222-2-2-22-2220000-200-22-220000−2i2i2i−2i2i−2i0000−222−22−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ53444444-4-4-444-4-4-4-440000000000000000000000000000000000000000000000
χ54444444-4-4-4-4-444-44-40000000000000000000000000000000000000000000000
χ5544-4-44-4-44-400004004-4-44000000000000000000000000000000000000000000
χ5644-4-44-4-44-40000400-444-4000000000000000000000000000000000000000000
χ5744-4-4-444-4-4000040000004-4-4400000000000000000000000000000000000000
χ5844-4-4-444-4-400004000000-444-400000000000000000000000000000000000000
χ598-88-800000008-80000000000000000000000000000000000000000000000000
χ608-88-80000000-880000000000000000000000000000000000000000000000000
χ618-8-88000008-8000000000000000000000000000000000000000000000000000
χ628-8-8800000-88000000000000000000000000000000000000000000000000000

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