Finite Group Databasebeta

← Group #330588

Character table — Group #330588

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
χ9111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ12111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-222-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-222-2-222-2-222-2-2-2-2-2-222220000000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-222-2-22222-2-222-2-20000000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000
χ2122222222-2-22222-2-2-2-22222-2-2-2-2000000002222-2-2-2-200000000000000000000
χ2222222222-2-22222-2-2-2-22222-2-2-2-200000000-2-2-2-2222200000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-222220000000022-2-2-2-22200000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2222200000000-2-22222-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ292-22-222-2-22-200002-200002i−2i002i−2i002-2002i−2ii2−i22−2i2−i22−22−22−2i2−i2i2−i2000000000000
χ302-22-222-2-22-200002-200002i−2i002i−2i002-2002i−2i−i2i2−22−i2i2−22−22−22−i2i2−i2i2000000000000
χ312-22-222-2-22-200002-200002i−2i002i−2i00-2200−2i2ii2−i22−2i2−i22−2−22−22−i2i2−i2i2000000000000
χ322-22-222-2-22-200002-200002i−2i002i−2i00-2200−2i2i−i2i2−22−i2i2−222−22−2i2−i2i2−i2000000000000
χ332-22-222-2-22-200002-20000−2i2i00−2i2i002-200−2i2ii2−i2−22i2−i2−22−22−22i2−i2i2−i2000000000000
χ342-22-222-2-22-200002-20000−2i2i00−2i2i002-200−2i2i−i2i22−2−i2i22−22−22−2−i2i2−i2i2000000000000
χ352-22-222-2-22-200002-20000−2i2i00−2i2i00-22002i−2ii2−i2−22i2−i2−222−22−2−i2i2−i2i2000000000000
χ362-22-222-2-22-200002-20000−2i2i00−2i2i00-22002i−2i−i2i22−2−i2i22−2−22−22i2−i2i2−i2000000000000
χ372-22-222-2-2-220000-2200002i−2i00−2i2i2-2002i−2i00i2−i22−2−i2i2−22i2−i2−i2i22−2−22000000000000
χ382-22-222-2-2-220000-2200002i−2i00−2i2i2-2002i−2i00−i2i2−22i2−i22−2−i2i2i2−i2−222−2000000000000
χ392-22-222-2-2-220000-2200002i−2i00−2i2i-2200−2i2i00i2−i22−2−i2i2−22−i2i2i2−i2−222−2000000000000
χ402-22-222-2-2-220000-2200002i−2i00−2i2i-2200−2i2i00−i2i2−22i2−i22−2i2−i2−i2i22−2−22000000000000
χ412-22-222-2-2-220000-220000−2i2i002i−2i2-200−2i2i00i2−i2−22−i2i22−2i2−i2−i2i2−222−2000000000000
χ422-22-222-2-2-220000-220000−2i2i002i−2i2-200−2i2i00−i2i22−2i2−i2−22−i2i2i2−i22−2−22000000000000
χ432-22-222-2-2-220000-220000−2i2i002i−2i-22002i−2i00i2−i2−22−i2i22−2−i2i2i2−i22−2−22000000000000
χ442-22-222-2-2-220000-220000−2i2i002i−2i-22002i−2i00−i2i22−2i2−i2−22i2−i2−i2i2−222−2000000000000
χ4544-4-44-4-44444-44-4-4-44-400000000000000000000000000000000000000000000
χ4644-4-44-4-4444-44-44-4-4-4400000000000000000000000000000000000000000000
χ4744-4-44-4-44-4-44-44-444-4400000000000000000000000000000000000000000000
χ4844-4-44-4-44-4-4-44-44444-400000000000000000000000000000000000000000000
χ494-444-4-4-44004-4-440000000000000000000000000000000000002i2−2i20000000000
χ504-444-4-4-44004-4-44000000000000000000000000000000000000−2i22i20000000000
χ514-444-4-4-4400-444-4000000000000000000000000000000000000002i2−2i200000000
χ524-444-4-4-4400-444-400000000000000000000000000000000000000−2i22i200000000
χ534-4-444-44-44-40000-44004i−4i004i−4i00000000000000000000000000000000000000
χ544-4-444-44-44-40000-4400−4i4i00−4i4i00000000000000000000000000000000000000
χ554-4-444-44-4-4400004-4004i−4i00−4i4i00000000000000000000000000000000000000
χ564-4-444-44-4-4400004-400−4i4i004i−4i00000000000000000000000000000000000000
χ574-4-4-4-44440044-4-400000000000000000000000000000000000000002i2−2i2000000
χ584-4-4-4-44440044-4-40000000000000000000000000000000000000000−2i22i2000000
χ594-4-4-4-444400-4-44400000000000000000000000000000000000000000022−220000
χ604-4-4-4-444400-4-444000000000000000000000000000000000000000000−22220000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ6288-88-88-8-8000000000000000000000000000000000000000000000000000000

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