Finite Group Databasebeta

← Group #349766

Character table — Group #349766

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444442222444444444444222222444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ6111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-11
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-11111-1-11-1
χ91111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-1-1-1-1-111
χ101111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-111111-1-1-1-11111111111-1-1-1-11111-1-1
χ121111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ131111111111111111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ141111111111111111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-11
χ151111111111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-1-11111-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-11
χ161111111111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1
χ172222222222-2-222-2-20000-222220000-2-2-20000220000-2-2-2-2-2000022000000000000000000
χ182222222222-2-222-2-20000-222220000-2-2-20000-2-2000022-2220000-2-2000000000000000000
χ192222222222-2-222-2-20000-2-2-2-2-2000022-20000220000-2-22220000-2-2000000000000000000
χ202222222222-2-222-2-20000-2-2-2-2-2000022-20000-2-20000222-2-2000022000000000000000000
χ2122222222-2-222-2-2222222-222-2-2-2-2-2-2-2-2-2000000-2-22200200000000000000000000000000
χ2222222222-2-222-2-2222222-2-2-222222222-2000000-2-2-2-200-200000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-2-222-2-22222-2-2-200000022-2-200200000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-2-222-2-2-2-222-2000000222200-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-20000222-2-2000022222-2-200000000-20022-2-200000000000000000000
χ2622222222-2-2-2-2-2-2-2-20000222-2-20000222-2-22200000000-200-2-22200000000000000000000
χ2722222222-2-2-2-2-2-2-2-200002-2-2220000-2-2222-2-200000000200-2-22200000000000000000000
χ2822222222-2-2-2-2-2-2-2-200002-2-2220000-2-22-2-2220000000020022-2-200000000000000000000
χ292222-2-2-2-22222-2-2-2-222-2-220000000000-22-22-22-22-2002-2000000000000000000000000000
χ302222-2-2-2-22222-2-2-2-222-2-220000000000-2-22-22-222-200-22000000000000000000000000000
χ312222-2-2-2-22222-2-2-2-2-2-22220000000000-22-22-2-22-2200-22000000000000000000000000000
χ322222-2-2-2-22222-2-2-2-2-2-22220000000000-2-22-222-2-22002-2000000000000000000000000000
χ332222-2-2-2-222-2-2-2-2220000-200002i2i−2i−2i00200002-2002i−2i-220002i−2i2i−2i00000000000000000000
χ342222-2-2-2-222-2-2-2-2220000-200002i2i−2i−2i0020000-22002i−2i2-2000−2i2i−2i2i00000000000000000000
χ352222-2-2-2-222-2-2-2-2220000-20000−2i−2i2i2i00200002-200−2i2i-22000−2i2i−2i2i00000000000000000000
χ362222-2-2-2-222-2-2-2-2220000-20000−2i−2i2i2i0020000-2200−2i2i2-20002i−2i2i−2i00000000000000000000
χ372222-2-2-2-2-2-22222-2-222-2-2-200000000002000000-22000002i−2i2i−2i−2i2i2i−2i000000000000000000
χ382222-2-2-2-2-2-22222-2-222-2-2-200000000002000000-2200000−2i2i−2i2i2i−2i−2i2i000000000000000000
χ392222-2-2-2-2-2-22222-2-2-2-222-2000000000020000002-2000002i−2i−2i2i2i−2i2i−2i000000000000000000
χ402222-2-2-2-2-2-22222-2-2-2-222-2000000000020000002-200000−2i2i2i−2i−2i2i−2i2i000000000000000000
χ412222-2-2-2-2-2-2-2-222220000200002i2i−2i−2i00-22-2-220000−2i2i0002i−2i0000−2i2i000000000000000000
χ422222-2-2-2-2-2-2-2-222220000200002i2i−2i−2i00-2-222-20000−2i2i000−2i2i00002i−2i000000000000000000
χ432222-2-2-2-2-2-2-2-22222000020000−2i−2i2i2i00-22-2-2200002i−2i000−2i2i00002i−2i000000000000000000
χ442222-2-2-2-2-2-2-2-22222000020000−2i−2i2i2i00-2-222-200002i−2i0002i−2i0000−2i2i000000000000000000
χ452-22-222-2-2002-2002-22-22-20002i−2i2i−2i2i−2i2i−2i000000000000000000000022−2−2i2i2−i2−i22−2i2−i2000000
χ462-22-222-2-2002-2002-22-22-20002i−2i2i−2i2i−2i2i−2i0000000000000000000000−2−222−i2−i2i2i2−22−i2i2000000
χ472-22-222-2-2002-2002-22-22-2000−2i2i−2i2i−2i2i−2i2i000000000000000000000022−2−2−i2−i2i2i22−2−i2i2000000
χ482-22-222-2-2002-2002-22-22-2000−2i2i−2i2i−2i2i−2i2i0000000000000000000000−2−222i2i2−i2−i2−22i2−i2000000
χ492-22-222-2-2002-2002-2-22-220002i−2i−2i2i−2i2i2i−2i000000000000000000000022−2−2i2i2−i2−i2−22−i2i2000000
χ502-22-222-2-2002-2002-2-22-220002i−2i−2i2i−2i2i2i−2i0000000000000000000000−2−222−i2−i2i2i22−2i2−i2000000
χ512-22-222-2-2002-2002-2-22-22000−2i2i2i−2i2i−2i−2i2i000000000000000000000022−2−2−i2−i2i2i2−22i2−i2000000
χ522-22-222-2-2002-2002-2-22-22000−2i2i2i−2i2i−2i−2i2i0000000000000000000000−2−222i2i2−i2−i22−2−i2i2000000
χ5344-4-4-444-400000000000004i−4i0000000000000000000000000000002-22-22i−2i2i−2i0000000000
χ5444-4-4-444-400000000000004i−4i000000000000000000000000000000-22-22−2i2i−2i2i0000000000
χ5544-4-4-444-40000000000000−4i4i0000000000000000000000000000002-22-2−2i2i−2i2i0000000000
χ5644-4-4-444-40000000000000−4i4i000000000000000000000000000000-22-222i−2i2i−2i0000000000
χ574-44-444-4-400-4400-4400000004i−4i0000−4i4i0000000000000000000000000000000000000000
χ584-44-444-4-400-4400-440000000−4i4i00004i−4i0000000000000000000000000000000000000000
χ594-44-4-4-444004-400-444-4-44000000000000000000000000000000000000000000000000000
χ604-44-4-4-444004-400-44-444-4000000000000000000000000000000000000000000000000000
χ614-44-4-4-44400-44004-40000000004-4-44000000000000000000000000000000000000000000
χ624-44-4-4-44400-44004-4000000000-444-4000000000000000000000000000000000000000000
χ634-4-444-44-44-4004-4000000000000000000000000000000000000000000000000000002i2−2i200
χ644-4-444-44-44-4004-400000000000000000000000000000000000000000000000000000−2i22i200
χ654-4-444-44-4-4400-440000000000000000000000000000000000000000000000000002i2−2i20000
χ664-4-444-44-4-4400-44000000000000000000000000000000000000000000000000000−2i22i20000
χ674-4-44-44-444-400-44000000000000000000000000000000000000000000022−22−22220000000000
χ684-4-44-44-444-400-440000000000000000000000000000000000000000000−222222−220000000000
χ694-4-44-44-44-44004-400000000000000000000000000000000000000022−22−222200000000000000
χ704-4-44-44-44-44004-4000000000000000000000000000000000000000−222222−2200000000000000
χ7188-8-88-8-88000000000000000000000000000000000000000000000000000000000000000

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