Finite Group Databasebeta

← Group #255513

Character table — Group #255513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422244444444888888888888888844444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111111-1-1-1-11111-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111
χ71111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ81111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-11111-1-1-1-1
χ91111111111-1-1-1-1111111-1-11111-1-111-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-1
χ101111111111-1-1-1-1111111-1-11111-1-111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-1-1-1-111
χ111111111111-1-1-1-1111111-1-11111-1-111-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-111
χ121111111111-1-1-1-1111111-1-11111-1-111-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1
χ131111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-111
χ141111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-11111-1-1
χ151111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-111-1-1111-1-111-1-1
χ161111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-111
χ1722222222222222-2-222-2-2-2-2000022-2-2-200002222000000000000000000-20000-200000000
χ1822222222222222-2-222-2-2-2-2000022-2-2-20000-2-2-2-200000000000000000020000200000000
χ192222222222-2-2-2-2-2-222-2-2220000-2-2-2-22000022-2-2000000000000000000-20000200000000
χ202222222222-2-2-2-2-2-222-2-2220000-2-2-2-220000-2-22200000000000000000020000-200000000
χ2122222222-2-2222222-2-222222222-2-2-2-2-2-2-2-2-2000022000000000000000000000000000000
χ2222222222-2-2222222-2-22222-2-2-2-2-2-2-2-2-222220000-2-2000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-20000-2-22220000000000000000000000000002-2000002-20000
χ2422222222-2-22222-2-2-2-2-2-2-2-20000-2-2222000000000000000000000000000-2200000-220000
χ2522222222-2-2-2-2-2-222-2-222-2-2222222-2-22-2-2220000-2-2000000000000000000000000000000
χ2622222222-2-2-2-2-2-222-2-222-2-2-2-2-2-222-2-2222-2-2000022000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22200002222-20000000000000000000000000002-200000-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22200002222-2000000000000000000000000000-22000002-20000
χ2922-2-22-2-22002i2i−2i−2i2-2002-22i−2i2i2i−2i−2i00000000000002-20000000022−2−2i2i2−i2−i20000000000i2−i22−2
χ3022-2-22-2-22002i2i−2i−2i2-2002-22i−2i2i2i−2i−2i00000000000002-200000000−2−222−i2−i2i2i20000000000−i2i2−22
χ3122-2-22-2-22002i2i−2i−2i2-2002-22i−2i−2i−2i2i2i0000000000000-220000000022−2−2i2i2−i2−i20000000000−i2i2−22
χ3222-2-22-2-22002i2i−2i−2i2-2002-22i−2i−2i−2i2i2i0000000000000-2200000000−2−222−i2−i2i2i20000000000i2−i22−2
χ3322-2-22-2-2200−2i−2i2i2i2-2002-2−2i2i2i2i−2i−2i0000000000000-220000000022−2−2−i2−i2i2i20000000000i2−i2−22
χ3422-2-22-2-2200−2i−2i2i2i2-2002-2−2i2i2i2i−2i−2i0000000000000-2200000000−2−222i2i2−i2−i20000000000−i2i22−2
χ3522-2-22-2-2200−2i−2i2i2i2-2002-2−2i2i−2i−2i2i2i00000000000002-20000000022−2−2−i2−i2i2i20000000000−i2i22−2
χ3622-2-22-2-2200−2i−2i2i2i2-2002-2−2i2i−2i−2i2i2i00000000000002-200000000−2−222i2i2−i2−i20000000000i2−i2−22
χ372-22-222-2-22-22i−2i2i−2i002-2000000002i−2i00000002-22i−2i00i2i2−i2−i222−2−2i2−i2i2−i22−22−200000000000000
χ382-22-222-2-22-22i−2i2i−2i002-2000000002i−2i00000002-22i−2i00−i2−i2i2i2−2−222−i2i2−i2i2−22−2200000000000000
χ392-22-222-2-22-22i−2i2i−2i002-2000000002i−2i0000000-22−2i2i00i2i2−i2−i222−2−2−i2i2−i2i2−22−2200000000000000
χ402-22-222-2-22-22i−2i2i−2i002-2000000002i−2i0000000-22−2i2i00−i2−i2i2i2−2−222i2−i2i2−i22−22−200000000000000
χ412-22-222-2-22-2−2i2i−2i2i002-200000000−2i2i00000002-2−2i2i00i2i2−i2−i2−2−222i2−i2i2−i2−22−2200000000000000
χ422-22-222-2-22-2−2i2i−2i2i002-200000000−2i2i00000002-2−2i2i00−i2−i2i2i222−2−2−i2i2−i2i22−22−200000000000000
χ432-22-222-2-22-2−2i2i−2i2i002-200000000−2i2i0000000-222i−2i00i2i2−i2−i2−2−222−i2i2−i2i22−22−200000000000000
χ442-22-222-2-22-2−2i2i−2i2i002-200000000−2i2i0000000-222i−2i00−i2−i2i2i222−2−2i2−i2i2−i2−22−2200000000000000
χ452-2-2-2-22222-2000022-22-2-2002-22-2002-202-2000000002i−2i2i−2i0000000000000002i−2i000000000
χ462-2-2-2-22222-2000022-22-2-2002-22-2002-202-200000000−2i2i−2i2i000000000000000−2i2i000000000
χ472-2-2-2-22222-2000022-22-2-200-22-22002-20-22000000002i−2i2i−2i000000000000000−2i2i000000000
χ482-2-2-2-22222-2000022-22-2-200-22-22002-20-2200000000−2i2i−2i2i0000000000000002i−2i000000000
χ492-2-2-2-2222-220000222-2-2-2002-22-200-220-220000000000002i−2i2i−2i000000000000002i−2i000000
χ502-2-2-2-2222-220000222-2-2-2002-22-200-220-22000000000000−2i2i−2i2i00000000000000−2i2i000000
χ512-2-2-2-2222-220000222-2-2-200-22-2200-2202-20000000000002i−2i2i−2i00000000000000−2i2i000000
χ522-2-2-2-2222-220000222-2-2-200-22-2200-2202-2000000000000−2i2i−2i2i000000000000002i−2i000000
χ5344-44-44-4-444000000-4-40000000000000000000000022−22−222200000000000000000000000000
χ5444-44-44-4-444000000-4-400000000000000000000000−222222−2200000000000000000000000000
χ5544-44-44-4-4-4-4000000440000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5644-44-44-4-4-4-400000044000000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ5744-4-44-4-44004i4i−4i−4i-4400-44−4i4i0000000000000000000000000000000000000000000000000
χ5844-4-44-4-4400−4i−4i4i4i-4400-444i−4i0000000000000000000000000000000000000000000000000
χ594-444-4-4-440000004-400-44004i−4i−4i4i000000000000000000000000000000000000000000000
χ604-444-4-4-440000004-400-4400−4i4i4i−4i000000000000000000000000000000000000000000000
χ614-444-4-4-44000000-44004-400000000000004i−4i000000000000000000000000000000000000
χ624-444-4-4-44000000-44004-40000000000000−4i4i000000000000000000000000000000000000
χ634-44-444-4-4-444i−4i4i−4i00-4400000000−4i4i0000000000000000000000000000000000000000000
χ644-44-444-4-4-44−4i4i−4i4i00-44000000004i−4i0000000000000000000000000000000000000000000
χ654-4-444-44-4004-4-44000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ664-4-444-44-4004-4-4400000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ674-4-444-44-400-444-4000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ684-4-444-44-400-444-400000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ694-4-4-4-44444-40000-4-4-444400000000-4400000000000000000000000000000000000000000
χ704-4-4-4-4444-440000-4-44-444000000004-400000000000000000000000000000000000000000
χ71888-8-8-88-8000000000000000000000000000000000000000000000000000000000000000

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