Finite Group Databasebeta

← Group #351886

Character table — Group #351886

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222444444444444444444224444448888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-111-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222222-2-2-2-2222-2-222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ1822222222222-2-2-2-2222-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ1922222222222-2-2-2-22-2-222-2-222-2-222-2-222-2-20000000000000000000000000000
χ2022222222222-2-2-2-22-2-222-2-222-2-2-2-222-2-2220000000000000000000000000000
χ2122222222-2-2-22222-22222-2-2-2-2-2-20000000022-2-2-2-22200000000000000000000
χ2222222222-2-2-22222-22222-2-2-2-2-2-200000000-2-22222-2-200000000000000000000
χ2322222222-2-2-22222-2-2-2-2-22222-2-2000000002222-2-2-2-200000000000000000000
χ2422222222-2-2-22222-2-2-2-2-22222-2-200000000-2-2-2-2222200000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ292-2-2-2-222222-22-22-2-2000000002-2002i−2i2i−2i00002-2002-22i−2i2i−2i0000000000000000
χ302-2-2-2-222222-22-22-2-2000000002-2002i−2i2i−2i0000-2200-22−2i2i−2i2i0000000000000000
χ312-2-2-2-222222-22-22-2-2000000002-200−2i2i−2i2i00002-2002-2−2i2i−2i2i0000000000000000
χ322-2-2-2-222222-22-22-2-2000000002-200−2i2i−2i2i0000-2200-222i−2i2i−2i0000000000000000
χ332-2-2-2-222222-2-22-22-200000000-22002i−2i−2i2i002-2002-20000002i−2i2i−2i000000000000
χ342-2-2-2-222222-2-22-22-200000000-22002i−2i−2i2i00-2200-22000000−2i2i−2i2i000000000000
χ352-2-2-2-222222-2-22-22-200000000-2200−2i2i2i−2i002-2002-2000000−2i2i−2i2i000000000000
χ362-2-2-2-222222-2-22-22-200000000-2200−2i2i2i−2i00-2200-220000002i−2i2i−2i000000000000
χ372-2-2-2-2222-2-222-22-2200000000-222-200002-2002-200-2200002-2-22000000000000
χ382-2-2-2-2222-2-222-22-2200000000-222-200002-200-22002-20000-222-2000000000000
χ392-2-2-2-2222-2-222-22-2200000000-22-220000-22002-200-220000-222-2000000000000
χ402-2-2-2-2222-2-222-22-2200000000-22-220000-2200-22002-200002-2-22000000000000
χ412-2-2-2-2222-2-22-22-222000000002-22-20000-222-200-22002-2-220000000000000000
χ422-2-2-2-2222-2-22-22-222000000002-22-20000-22-22002-200-222-20000000000000000
χ432-2-2-2-2222-2-22-22-222000000002-2-2200002-22-200-2200-222-20000000000000000
χ442-2-2-2-2222-2-22-22-222000000002-2-2200002-2-22002-2002-2-220000000000000000
χ45444-4-4-44-400044-4-4000000000000000000000000000000000000022−2200000000
χ46444-4-4-44-400044-4-40000000000000000000000000000000000000−222200000000
χ47444-4-4-44-4000-4-444000000000000000000000000000000000002i2−2i20000000000
χ48444-4-4-44-4000-4-44400000000000000000000000000000000000−2i22i20000000000
χ4944-44-4-4-444-440000-4004-4004-400000000000000000000000000000000000000
χ5044-44-4-4-444-440000-400-4400-4400000000000000000000000000000000000000
χ5144-44-4-4-44-44-400004004-400-4400000000000000000000000000000000000000
χ5244-44-4-4-44-44-40000400-44004-400000000000000000000000000000000000000
χ534-44-44-4-444-4-4000044-4004-40000000000000000000000000000000000000000
χ544-44-44-4-444-4-400004-4400-440000000000000000000000000000000000000000
χ554-44-44-4-44-4440000-44-400-440000000000000000000000000000000000000000
χ564-44-44-4-44-4440000-4-44004-40000000000000000000000000000000000000000
χ574-4-444-44-40004-4-440000000000000000000000000000000000000002i2−2i2000000
χ584-4-444-44-40004-4-44000000000000000000000000000000000000000−2i22i2000000
χ594-4-444-44-4000-444-4000000000000000000000000000000000000000002i2−2i20000
χ604-4-444-44-4000-444-400000000000000000000000000000000000000000−2i22i20000
χ6188-8-888-8-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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