Finite Group Databasebeta

← Group #325404

Character table — Group #325404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444444448888888844444444448888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1
χ91111111111111111-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ111111111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ121111111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111-1-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11
χ172222222222-2-2-2-22222-2-22200000000-2-222-2-222-2-20000000000000000000000000000
χ182222222222-2-2-2-22222-2-22200000000-2-2-2-222-2-2220000000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-2000000002222-2-2-2-2220000000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-20000000022-2-22222-2-20000000000000000000000000000
χ2122222222-2-22222-2-222-2-2-2-22222-2-2-2-22-20000000022-2-2000000000000000000000000
χ2222222222-2-22222-2-222-2-2-2-2-2-2-2-222222-200000000-2-222000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2222222-2-2-2-2-2200000000-2-222000000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-222-2-2-2-22222-220000000022-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-200000000-220000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-200000000-22000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000002-20000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000000002-2000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ2922-222-2-2-22-2-2-2222-2002-20022-2-222-2-2000000000000000000000000002i2i−2i−2i002i−2i0000
χ3022-222-2-2-22-2-2-2222-2002-20022-2-222-2-200000000000000000000000000−2i−2i2i2i00−2i2i0000
χ3122-222-2-2-22-2-2-2222-2002-200-2-222-2-222000000000000000000000000002i2i−2i−2i00−2i2i0000
χ3222-222-2-2-22-2-2-2222-2002-200-2-222-2-22200000000000000000000000000−2i−2i2i2i002i−2i0000
χ3322-222-2-2-2-22-2-222-2200-220022-2-2-2-22200000000000000000000002i2i−2i−2i00002i−2i000000
χ3422-222-2-2-2-22-2-222-2200-220022-2-2-2-2220000000000000000000000−2i−2i2i2i0000−2i2i000000
χ3522-222-2-2-2-22-2-222-2200-2200-2-22222-2-200000000000000000000002i2i−2i−2i0000−2i2i000000
χ3622-222-2-2-2-22-2-222-2200-2200-2-22222-2-20000000000000000000000−2i−2i2i2i00002i−2i000000
χ372-2-22-222-22-20000-222i−2i002i−2i2−22−22−22−200002i−2i002-2i2−i2i2−i2i2−i2i2−i22−22−20000000000000000
χ382-2-22-222-22-20000-222i−2i002i−2i2−22−22−22−20000−2i2i00-22i2−i2i2−i2−i2i2−i2i2−22−220000000000000000
χ392-2-22-222-22-20000-222i−2i002i−2i−22−22−22−2200002i−2i002-2−i2i2−i2i2−i2i2−i2i2−22−220000000000000000
χ402-2-22-222-22-20000-222i−2i002i−2i−22−22−22−220000−2i2i00-22−i2i2−i2i2i2−i2i2−i22−22−20000000000000000
χ412-2-22-222-22-20000-22−2i2i00−2i2i2−22−22−22−200002i−2i00-22−i2i2−i2i2i2−i2i2−i2−22−220000000000000000
χ422-2-22-222-22-20000-22−2i2i00−2i2i2−22−22−22−20000−2i2i002-2−i2i2−i2i2−i2i2−i2i22−22−20000000000000000
χ432-2-22-222-22-20000-22−2i2i00−2i2i−22−22−22−2200002i−2i00-22i2−i2i2−i2−i2i2−i2i22−22−20000000000000000
χ442-2-22-222-22-20000-22−2i2i00−2i2i−22−22−22−220000−2i2i002-2i2−i2i2−i2i2−i2i2−i2−22−220000000000000000
χ452-2-22-222-2-2200002-22i−2i00−2i2i2−22−2−22−22002-2002i−2i00i2−i2−i2i22−2−22−i2i2i2−i20000000000000000
χ462-2-22-222-2-2200002-22i−2i00−2i2i2−22−2−22−2200-2200−2i2i00i2−i2−i2i2−222−2i2−i2−i2i20000000000000000
χ472-2-22-222-2-2200002-22i−2i00−2i2i−22−222−22−2002-2002i−2i00−i2i2i2−i2−222−2i2−i2−i2i20000000000000000
χ482-2-22-222-2-2200002-22i−2i00−2i2i−22−222−22−200-2200−2i2i00−i2i2i2−i22−2−22−i2i2i2−i20000000000000000
χ492-2-22-222-2-2200002-2−2i2i002i−2i2−22−2−22−22002-200−2i2i00−i2i2i2−i22−2−22i2−i2−i2i20000000000000000
χ502-2-22-222-2-2200002-2−2i2i002i−2i2−22−2−22−2200-22002i−2i00−i2i2i2−i2−222−2−i2i2i2−i20000000000000000
χ512-2-22-222-2-2200002-2−2i2i002i−2i−22−222−22−2002-200−2i2i00i2−i2−i2i2−222−2−i2i2i2−i20000000000000000
χ522-2-22-222-2-2200002-2−2i2i002i−2i−22−222−22−200-22002i−2i00i2−i2−i2i22−2−22i2−i2−i2i20000000000000000
χ53444-4-44-4-4004-44-40000000000000000000000000000000000000022−2222−22000000000000
χ54444-4-44-4-4004-44-400000000000000000000000000000000000000−2222−2222000000000000
χ55444-4-44-4-400-44-4400000000000000000000000000000000000000000022−2222−2200000000
χ56444-4-44-4-400-44-44000000000000000000000000000000000000000000−2222−222200000000
χ5744-444-4-4-44-444-4-44-400-44000000000000000000000000000000000000000000000000
χ5844-444-4-4-4-4444-4-4-44004-4000000000000000000000000000000000000000000000000
χ5944-4-4-4-444004-4-440000000000000000000000000000000000000000002i2−2i2−2i22i200000000
χ6044-4-4-4-444004-4-44000000000000000000000000000000000000000000−2i22i22i2−2i200000000
χ6144-4-4-4-44400-444-4000000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ6244-4-4-4-44400-444-400000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ634-444-4-4-44440000-4-400000022−22−222222−22−222200000000000000000000000000000000000000
χ644-444-4-4-44440000-4-4000000−222222−22−222222−2200000000000000000000000000000000000000
χ654-444-4-4-44-4-400004400000022−22−2222−222222−2200000000000000000000000000000000000000
χ664-444-4-4-44-4-4000044000000−222222−2222−22−222200000000000000000000000000000000000000
χ678-88-88-88-8000000000000000000000000000000000000000000000000000000000000
χ688-8-8-888-88000000000000000000000000000000000000000000000000000000000000

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