Finite Group Databasebeta

← Group #349772

Character table — Group #349772

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-222-2-222000022-2-20000-2-222-2-20000-20000-2-2220000000000000000000000
χ182222222222-2-222-2-222000022-2-20000-2-2-2-2220000-2000022-2-20000000000000000000000
χ192222222222-2-222-2-2-2-20000-2-2220000-2-22222000020000-2-2-2-20000000000000000000000
χ202222222222-2-222-2-2-2-20000-2-2220000-2-2-2-2-2-200002000022220000000000000000000000
χ2122222222-2-222-2-222222222-2-2222222-2-200000000-2-2-2-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-222-2-2-2-2-2-200000000-2222200000000000000000000000000
χ2322222222-2-222-2-222-2-2222222-2-2-2-2-2-2-2-2000000002-2-22200000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-222-2-22222-2-200000000222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2220000-2-2-2-2000022000022-2-220000000022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-2220000-2-2-2-20000220000-2-222200000000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-200002222000022000022-2-2-200000000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2000022220000220000-2-222-20000000022-2-2000000000000000000
χ292-222-2-22-22222-2-2-2-20022-2-2000000002-22-200000002-2002-2002-22-2000000000000000000
χ302-222-2-22-22222-2-2-2-20022-2-2000000002-2-2200000002-200-2200-22-22000000000000000000
χ312-222-2-22-22222-2-2-2-200-2-222000000002-22-20000000-22002-200-22-22000000000000000000
χ322-222-2-22-22222-2-2-2-200-2-222000000002-2-220000000-2200-22002-22-2000000000000000000
χ332-222-2-22-222-2-2-2-22200000000002i2i−2i−2i-222-2002i−2i2i−2i0002i−2i-22000000000000000000000000
χ342-222-2-22-222-2-2-2-22200000000002i2i−2i−2i-22-2200−2i2i−2i2i0002i−2i2-2000000000000000000000000
χ352-222-2-22-222-2-2-2-2220000000000−2i−2i2i2i-222-200−2i2i−2i2i000−2i2i-22000000000000000000000000
χ362-222-2-22-222-2-2-2-2220000000000−2i−2i2i2i-22-22002i−2i2i−2i000−2i2i2-2000000000000000000000000
χ372-222-2-22-2-2-22222-2-20022-2-200000000-22002i−2i2i−2i−2i2i0-2200002i−2i0000000000000000000000
χ382-222-2-22-2-2-22222-2-20022-2-200000000-2200−2i2i−2i2i2i−2i0-220000−2i2i0000000000000000000000
χ392-222-2-22-2-2-22222-2-200-2-22200000000-22002i−2i−2i2i2i−2i02-200002i−2i0000000000000000000000
χ402-222-2-22-2-2-22222-2-200-2-22200000000-2200−2i2i2i−2i−2i2i02-20000−2i2i0000000000000000000000
χ412-222-2-22-2-2-2-2-2222200000000002i2i−2i−2i2-2002i−2i0000000−2i2i00−2i2i-222-2000000000000000000
χ422-222-2-22-2-2-2-2-2222200000000002i2i−2i−2i2-200−2i2i0000000−2i2i002i−2i2-2-22000000000000000000
χ432-222-2-22-2-2-2-2-222220000000000−2i−2i2i2i2-2002i−2i00000002i−2i00−2i2i2-2-22000000000000000000
χ442-222-2-22-2-2-2-2-222220000000000−2i−2i2i2i2-200−2i2i00000002i−2i002i−2i-222-2000000000000000000
χ452-22-22-2-22002-2002-22i−2i2-22-2002i−2i2i−2i2i−2i0000000000000000000000022−2−2i2i2−i2−i22−2i2−i2000000
χ462-22-22-2-22002-2002-22i−2i2-22-2002i−2i2i−2i2i−2i00000000000000000000000−2−222−i2−i2i2i2−22−i2i2000000
χ472-22-22-2-22002-2002-22i−2i-22-22002i−2i−2i2i−2i2i0000000000000000000000022−2−2i2i2−i2−i2−22−i2i2000000
χ482-22-22-2-22002-2002-22i−2i-22-22002i−2i−2i2i−2i2i00000000000000000000000−2−222−i2−i2i2i22−2i2−i2000000
χ492-22-22-2-22002-2002-2−2i2i2-22-200−2i2i−2i2i−2i2i0000000000000000000000022−2−2−i2−i2i2i22−2−i2i2000000
χ502-22-22-2-22002-2002-2−2i2i2-22-200−2i2i−2i2i−2i2i00000000000000000000000−2−222i2i2−i2−i2−22i2−i2000000
χ512-22-22-2-22002-2002-2−2i2i-22-2200−2i2i2i−2i2i−2i0000000000000000000000022−2−2−i2−i2i2i2−22i2−i2000000
χ522-22-22-2-22002-2002-2−2i2i-22-2200−2i2i2i−2i2i−2i00000000000000000000000−2−222i2i2−i2−i22−2−i2i2000000
χ53444-4-44-4-4004-400-44004-4-440000000000000000000000000000000000000000000000000
χ54444-4-44-4-4004-400-4400-444-40000000000000000000000000000000000000000000000000
χ55444-4-44-4-400-44004-400000000004-4-4400000000000000000000000000000000000000000
χ56444-4-44-4-400-44004-40000000000-444-400000000000000000000000000000000000000000
χ5744-444-4-4-44-4004-40000000000000000000000000000000000000000000000000000022−2200
χ5844-444-4-4-44-4004-400000000000000000000000000000000000000000000000000000−222200
χ5944-444-4-4-4-4400-4400000000000000000000000000000000000000000000000000022−220000
χ6044-444-4-4-4-4400-44000000000000000000000000000000000000000000000000000−22220000
χ6144-4-4-4-444000000000000004i−4i000000000000000000000000000002i−2i2i−2i2-22-20000000000
χ6244-4-4-4-444000000000000004i−4i00000000000000000000000000000−2i2i−2i2i-22-220000000000
χ6344-4-4-4-44400000000000000−4i4i000000000000000000000000000002i−2i2i−2i-22-220000000000
χ6444-4-4-4-44400000000000000−4i4i00000000000000000000000000000−2i2i−2i2i2-22-20000000000
χ654-44-44-4-4400-4400-444i−4i000000−4i4i000000000000000000000000000000000000000000000
χ664-44-44-4-4400-4400-44−4i4i0000004i−4i000000000000000000000000000000000000000000000
χ674-4-44-44-444-400-4400000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ684-4-44-44-444-400-440000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ694-4-44-44-44-44004-40000000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ704-4-44-44-44-44004-4000000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ718-8-8-8888-8000000000000000000000000000000000000000000000000000000000000000

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