Finite Group Databasebeta

← Group #348276

Character table — Group #348276

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222444444444444222222444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-11-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1
χ91111111111-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11
χ111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-11
χ121111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-11-1
χ131111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-11
χ17222222222-22222-2-2-22-2-2002200-200-2-2000022-2-200000000000000000000
χ18222222222-22222-2-2-22-2-200-2-200-200220000-2-22200000000000000000000
χ19222222222-2-2-2-2-222-22-2-2002200200-2-20000-2-22200000000000000000000
χ20222222222-2-2-2-2-222-22-2-200-2-20020022000022-2-200000000000000000000
χ2122222222-2222-2-222-2-22-2220000-2-2-20022-2-2000000000000000000000000
χ2222222222-2222-2-222-2-22-2-2-20000-22200-2-222000000000000000000000000
χ2322222222-22-2-222-2-2-2-22-22200002-2-200-2-222000000000000000000000000
χ2422222222-22-2-222-2-2-2-22-2-2-200002220022-2-2000000000000000000000000
χ2522222222-2-222-2-2-2-22-2-22000022200000000000022-2-2-2-200000000000000
χ2622222222-2-222-2-2-2-22-2-220000-2-22000000000000-2-2222200000000000000
χ2722222222-2-2-2-222222-2-22000022-2000000000000-2-222-2-200000000000000
χ2822222222-2-2-2-222222-2-220000-2-2-200000000000022-2-22200000000000000
χ292-222-2-2-2222000000-2-2-2200002-2000002i−2i2i−2i2i−2i2i−2i00002-200000000000000
χ302-222-2-2-2222000000-2-2-2200002-200000−2i2i−2i2i−2i2i−2i2i00002-200000000000000
χ312-222-2-2-2222000000-2-2-220000-22000002i−2i2i−2i−2i2i−2i2i0000-2200000000000000
χ322-222-2-2-2222000000-2-2-220000-2200000−2i2i−2i2i2i−2i2i−2i0000-2200000000000000
χ332-222-2-2-222-20000002-22-22-2000002-20000002i−2i−2i2i2i−2i2i−2i0000000000000000
χ342-222-2-2-222-20000002-22-22-2000002-2000000−2i2i2i−2i−2i2i−2i2i0000000000000000
χ352-222-2-2-222-20000002-22-2-2200000-220000002i−2i−2i2i−2i2i−2i2i0000000000000000
χ362-222-2-2-222-20000002-22-2-2200000-22000000−2i2i2i−2i2i−2i2i−2i0000000000000000
χ372-222-2-2-22-2200000022-2-2002-2000002-22i−2i−2i2i00002i−2i−2i2i0000000000000000
χ382-222-2-2-22-2200000022-2-2002-2000002-2−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ392-222-2-2-22-2200000022-2-200-2200000-222i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ402-222-2-2-22-2200000022-2-200-2200000-22−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ412-222-2-2-22-2-2000000-22222-22-22-20-22-22000000000000-2200000000000000
χ422-222-2-2-22-2-2000000-22222-2-22-220-222-20000000000002-200000000000000
χ432-222-2-2-22-2-2000000-2222-222-2-2202-2-220000000000002-200000000000000
χ442-222-2-2-22-2-2000000-2222-22-222-202-22-2000000000000-2200000000000000
χ454-44-444-4-400004-4000000000000000000000000000000000002i−2i2i−2i000000
χ464-44-444-4-400004-400000000000000000000000000000000000−2i2i−2i2i000000
χ474-44-444-4-40000-44000000000000000000000000000000000002i−2i−2i2i000000
χ484-44-444-4-40000-4400000000000000000000000000000000000−2i2i2i−2i000000
χ494-4-444-44-4004-4000000000000000000000000000000000000000002i−2i2i−2i00
χ504-4-444-44-4004-400000000000000000000000000000000000000000−2i2i−2i2i00
χ514-4-444-44-400-44000000000000000000000000000000000000000002i−2i−2i2i00
χ524-4-444-44-400-4400000000000000000000000000000000000000000−2i2i2i−2i00
χ534-4-4-4-44440000004-4000000000000000000000000000002-22-20000000000
χ544-4-4-4-44440000004-400000000000000000000000000000-22-220000000000
χ554-4-4-4-4444000000-44000000000000000000000000000002-2-220000000000
χ564-4-4-4-4444000000-4400000000000000000000000000000-222-20000000000
χ57888-8-8-88-8000000000000000000000000000000000000000000000000000
χ5888-88-88-8-8000000000000000000000000000000000000000000000000000
χ5988-8-88-8-88000000000000000000000000000000000000000000000000000

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