Finite Group Databasebeta

← Group #236913

Character table — Group #236913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12224444222244444444444444442444888888888888888888888888888888882224444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11111111-1-1-1-1
χ91111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-11-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11-1-111-1-1
χ101111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-11-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-111-111-1-111
χ111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-111-1-111
χ121111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1111-1-111-1-1
χ131111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-11-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-111
χ141111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-11-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-11111-1-1
χ151111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-111-11111-1-1
χ161111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111111-1-11-1-1-1-111
χ17222222222222-2-222-2-2-2-2-2-222-2-2-2-22-2-2200000000000000000000000000000000000002-22-20000000
χ18222222222222-2-222-2-2-2-2-2-222-2-2-2-22-2-220000000000000000000000000000000000000-22-220000000
χ192222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-222-2000000000000000000000000000000000000000000002i−2i2i−2i
χ202222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-222-200000000000000000000000000000000000000000000−2i2i−2i2i
χ212222222222-2-2-2-222-2-22222-2-22222-2-2-2-2000000000000000022-2-222-2-2000000000000000000000000
χ222222222222-2-2-2-222-2-22222-2-22222-2-2-2-20000000000000000-2-222-2-222000000000000000000000000
χ2322222222-2-22222-2-22222-2-22222-2-2-2-2-2-200000000000000000000000000000000002000000-22-20000
χ2422222222-2-22222-2-22222-2-22222-2-2-2-2-2-20000000000000000000000000000000000-20000002-220000
χ2522222222-2-222-2-2-2-2-2-2-2-22222-2-222-222-200000000000000000000000022-2-222-2-20000000000000000
χ2622222222-2-222-2-2-2-2-2-2-2-22222-2-222-222-2000000000000000000000000-2-222-2-2220000000000000000
χ2722222222-2-2-2-222-2-222-2-222-2-2-2-2222-2-222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ2822222222-2-2-2-222-2-222-2-222-2-2-2-2222-2-22-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-22222000000000000000000000000000000002-202-200000000000
χ3022222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2222200000000000000000000000000000000-220-2200000000000
χ312222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-222-2-2000000000000000000000000000000000000000000002i−2i−2i2i
χ322222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-222-2-200000000000000000000000000000000000000000000−2i2i2i−2i
χ332222-2-2-2-22222-2-2-2-222-2-2-2-2-2-222222-22-2000000000000000022-2-2-2-222000000000000000000000000
χ342222-2-2-2-22222-2-2-2-222-2-2-2-2-2-222222-22-20000000000000000-2-22222-2-2000000000000000000000000
χ352222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2-2-22200000000000000000000000000000000000002-2-220000000
χ362222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2220000000000000000000000000000000000000-222-20000000
χ372222-2-2-2-2-2-2222222-2-222-2-2-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ382222-2-2-2-2-2-2222222-2-222-2-2-2-2-2-222-2-222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ392222-2-2-2-2-2-222-2-22222-2-222-2-222-2-2-22-22000000000000000000000000000000002-20-2200000000000
χ402222-2-2-2-2-2-222-2-22222-2-222-2-222-2-2-22-2200000000000000000000000000000000-2202-200000000000
χ412222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-22-22-200000000000000000000000000000000002000000-2-220000
χ422222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-22-22-20000000000000000000000000000000000-200000022-20000
χ432222-2-2-2-2-2-2-2-2-2-2222222-2-222-2-22222-2-200000000000000000000000022-2-2-2-2220000000000000000
χ442222-2-2-2-2-2-2-2-2-2-2222222-2-222-2-22222-2-2000000000000000000000000-2-22222-2-20000000000000000
χ4522-2-22i2i−2i−2i2-200002i−2i002i−2i2i−2i002-22-20000i2i2−i2−i2i2i2−i2−i222−2−222−2−2002-2002i−2ii2−i2i2−i22−22−20000000000000000
χ4622-2-22i2i−2i−2i2-200002i−2i002i−2i2i−2i002-22-20000i2i2−i2−i2i2i2−i2−i222−2−222−2−200-2200−2i2i−i2i2−i2i2−22−220000000000000000
χ4722-2-22i2i−2i−2i2-200002i−2i002i−2i2i−2i002-22-20000−i2−i2i2i2−i2−i2i2i2−2−222−2−222002-2002i−2i−i2i2−i2i2−22−220000000000000000
χ4822-2-22i2i−2i−2i2-200002i−2i002i−2i2i−2i002-22-20000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200-2200−2i2ii2−i2i2−i22−22−20000000000000000
χ4922-2-22i2i−2i−2i-220000−2i2i00−2i2i2i−2i00-222-20000i2i2−i2−i2−i2−i2i2i222−2−2−2−2222-2002i−2i00i2−i2−i2i22−2−220000000000000000
χ5022-2-22i2i−2i−2i-220000−2i2i00−2i2i2i−2i00-222-20000i2i2−i2−i2−i2−i2i2i222−2−2−2−222-2200−2i2i00−i2i2i2−i2−222−20000000000000000
χ5122-2-22i2i−2i−2i-220000−2i2i00−2i2i2i−2i00-222-20000−i2−i2i2i2i2i2−i2−i2−2−22222−2−22-2002i−2i00−i2i2i2−i2−222−20000000000000000
χ5222-2-22i2i−2i−2i-220000−2i2i00−2i2i2i−2i00-222-20000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2-2200−2i2i00i2−i2−i2i22−2−220000000000000000
χ5322-2-2−2i−2i2i2i2-20000−2i2i00−2i2i−2i2i002-22-20000i2i2−i2−i2i2i2−i2−i2−2−222−2−222002-200−2i2ii2−i2i2−i2−22−220000000000000000
χ5422-2-2−2i−2i2i2i2-20000−2i2i00−2i2i−2i2i002-22-20000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200-22002i−2i−i2i2−i2i22−22−20000000000000000
χ5522-2-2−2i−2i2i2i2-20000−2i2i00−2i2i−2i2i002-22-20000−i2−i2i2i2−i2−i2i2i222−2−222−2−2002-200−2i2i−i2i2−i2i22−22−20000000000000000
χ5622-2-2−2i−2i2i2i2-20000−2i2i00−2i2i−2i2i002-22-20000−i2−i2i2i2−i2−i2i2i222−2−222−2−200-22002i−2ii2−i2i2−i2−22−220000000000000000
χ5722-2-2−2i−2i2i2i-2200002i−2i002i−2i−2i2i00-222-20000i2i2−i2−i2−i2−i2i2i2−2−22222−2−22-200−2i2i00i2−i2−i2i2−222−20000000000000000
χ5822-2-2−2i−2i2i2i-2200002i−2i002i−2i−2i2i00-222-20000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2-22002i−2i00−i2i2i2−i22−2−220000000000000000
χ5922-2-2−2i−2i2i2i-2200002i−2i002i−2i−2i2i00-222-20000−i2−i2i2i2i2i2−i2−i222−2−2−2−2222-200−2i2i00−i2i2i2−i22−2−220000000000000000
χ6022-2-2−2i−2i2i2i-2200002i−2i002i−2i−2i2i00-222-20000−i2−i2i2i2i2i2−i2−i222−2−2−2−222-22002i−2i00i2−i2−i2i2−222−20000000000000000
χ6144-4-44i4i−4i−4i4-400004i−4i00−4i4i−4i4i00-44-440000000000000000000000000000000000000000000000000000
χ6244-4-44i4i−4i−4i-440000−4i4i004i−4i−4i4i004-4-440000000000000000000000000000000000000000000000000000
χ6344-4-4−4i−4i4i4i4-40000−4i4i004i−4i4i−4i00-44-440000000000000000000000000000000000000000000000000000
χ6444-4-4−4i−4i4i4i-4400004i−4i00−4i4i4i−4i004-4-440000000000000000000000000000000000000000000000000000
χ654-44-44-44-4004-400000000004-4000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ664-44-44-44-4004-400000000004-400000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ674-44-44-44-400-440000000000-44000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ684-44-44-44-400-440000000000-4400000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ694-44-4-44-44004-40000000000-44000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ704-44-4-44-44004-40000000000-4400000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ714-44-4-44-4400-4400000000004-4000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ724-44-4-44-4400-4400000000004-400000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ734-4-444i−4i−4i4i00004-4004i−4i00000000000000000022−22−22220000−2i22i22i2−2i200000000000000000000000000000000
χ744-4-444i−4i−4i4i00004-4004i−4i000000000000000000−222222−2200002i2−2i2−2i22i200000000000000000000000000000000
χ754-4-444i−4i−4i4i0000-4400−4i4i0000000000000022−22−22220000−2i22i22i2−2i2000000000000000000000000000000000000
χ764-4-444i−4i−4i4i0000-4400−4i4i00000000000000−222222−2200002i2−2i2−2i22i2000000000000000000000000000000000000
χ774-4-44−4i4i4i−4i00004-400−4i4i00000000000000000022−22−222200002i2−2i2−2i22i200000000000000000000000000000000
χ784-4-44−4i4i4i−4i00004-400−4i4i000000000000000000−222222−220000−2i22i22i2−2i200000000000000000000000000000000
χ794-4-44−4i4i4i−4i0000-44004i−4i0000000000000022−22−222200002i2−2i2−2i22i2000000000000000000000000000000000000
χ804-4-44−4i4i4i−4i0000-44004i−4i00000000000000−222222−220000−2i22i22i2−2i2000000000000000000000000000000000000

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