Finite Group Databasebeta

← Group #325366

Character table — Group #325366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444444444444444444448888888888888888161616161616161632323232
order12222222444444448888888844444444448888888888882244444488888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-222000000002222-2-2-2-2-2-200000000000022-2-222-2-200000000000000000000
χ182222222222-2-2-2-222000000002222-2-2-2-2-2-2000000000000-2-222-2-22200000000000000000000
χ192222222222-2-2-2-22200000000-2-2-2-2-2-2222200000000000022-2-2-2-22200000000000000000000
χ202222222222-2-2-2-22200000000-2-2-2-2-2-22222000000000000-2-22222-2-200000000000000000000
χ2122222222-2-22222-2-22222222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000
χ2222222222-2-22222-2-222222222-2-222-2-2-2-222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2222222220000000000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-222220000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-20000000022-2-222-2-222000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-20000000022-2-222-2-22200000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-200000000-2-2222222-2-2000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-200000000-2-2222222-2-200000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ292222-2-2-2-2220000-2-22222−2−2−2−22-22-200000022−2−222−2−222−2−22-2002-2002−22−22−22−2000000000000
χ302222-2-2-2-2220000-2-22222−2−2−2−22-22-200000022−2−222−2−222−2−2-2200-2200−22−22−22−22000000000000
χ312222-2-2-2-2220000-2-22222−2−2−2−2-22-22000000−2−222−2−22222−2−22-200-22002−22−2−22−22000000000000
χ322222-2-2-2-2220000-2-22222−2−2−2−2-22-22000000−2−222−2−22222−2−2-22002-200−22−222−22−2000000000000
χ332222-2-2-2-2220000-2-2−2−2−2−222222-22-2000000−2−222−2−222−2−2222-2002-200−22−22−22−22000000000000
χ342222-2-2-2-2220000-2-2−2−2−2−222222-22-2000000−2−222−2−222−2−222-2200-22002−22−22−22−2000000000000
χ352222-2-2-2-2220000-2-2−2−2−2−22222-22-2200000022−2−222−2−2−2−2222-200-2200−22−222−22−2000000000000
χ362222-2-2-2-2220000-2-2−2−2−2−22222-22-2200000022−2−222−2−2−2−222-22002-2002−22−2−22−22000000000000
χ372222-2-2-2-2-2-20000222222−2−2−2−22-2-2200000022−2−2−2−222−2−222002i−2i002i−2ii2−i2−i2i2i2−i2−i2i2000000000000
χ382222-2-2-2-2-2-20000222222−2−2−2−22-2-2200000022−2−2−2−222−2−22200−2i2i00−2i2i−i2i2i2−i2−i2i2i2−i2000000000000
χ392222-2-2-2-2-2-20000222222−2−2−2−2-222-2000000−2−22222−2−2−2−222002i−2i00−2i2ii2−i2−i2i2−i2i2i2−i2000000000000
χ402222-2-2-2-2-2-20000222222−2−2−2−2-222-2000000−2−22222−2−2−2−22200−2i2i002i−2i−i2i2i2−i2i2−i2−i2i2000000000000
χ412222-2-2-2-2-2-2000022−2−2−2−222222-2-22000000−2−22222−2−222−2−2002i−2i002i−2i−i2i2i2−i2−i2i2i2−i2000000000000
χ422222-2-2-2-2-2-2000022−2−2−2−222222-2-22000000−2−22222−2−222−2−200−2i2i00−2i2ii2−i2−i2i2i2−i2−i2i2000000000000
χ432222-2-2-2-2-2-2000022−2−2−2−22222-222-200000022−2−2−2−22222−2−2002i−2i00−2i2i−i2i2i2−i2i2−i2−i2i2000000000000
χ442222-2-2-2-2-2-2000022−2−2−2−22222-222-200000022−2−2−2−22222−2−200−2i2i002i−2ii2−i2−i2i2−i2i2i2−i2000000000000
χ452-2-2222-2-22-2-2-2222-222-2-222-2-200002-20000000000002-22-2000000000000000000002i−2i2i−2i0000
χ462-2-2222-2-22-2-2-2222-222-2-222-2-200002-20000000000002-22-200000000000000000000−2i2i−2i2i0000
χ472-2-2222-2-22-2-2-2222-2-2-222-2-22200002-2000000000000-22-22000000000000000000002i−2i−2i2i0000
χ482-2-2222-2-22-2-2-2222-2-2-222-2-22200002-2000000000000-22-2200000000000000000000−2i2i2i−2i0000
χ492-2-2222-2-2-22-2-222-2222-2-222-2-20000-22000000000000-22-2200000000000000002i−2i2i−2i00000000
χ502-2-2222-2-2-22-2-222-2222-2-222-2-20000-22000000000000-22-220000000000000000−2i2i−2i2i00000000
χ512-2-2222-2-2-22-2-222-22-2-222-2-2220000-220000000000002-22-200000000000000002i−2i−2i2i00000000
χ522-2-2222-2-2-22-2-222-22-2-222-2-2220000-220000000000002-22-20000000000000000−2i2i2i−2i00000000
χ5344-4-44-44-4000000002i2−2i22i2−2i22i2−2i22i2−2i2000000004-400002i2−2i22i2−2i200000000000000000000000000000000
χ5444-4-44-44-4000000002i2−2i22i2−2i22i2−2i22i2−2i200000000-440000−2i22i2−2i22i200000000000000000000000000000000
χ5544-4-44-44-400000000−2i22i2−2i22i2−2i22i2−2i22i2000000004-40000−2i22i2−2i22i200000000000000000000000000000000
χ5644-4-44-44-400000000−2i22i2−2i22i2−2i22i2−2i22i200000000-4400002i2−2i22i2−2i200000000000000000000000000000000
χ5744-4-4-44-44004-44-40000000000000000000000004i−4i−4i4i00000000000000000000000000000000
χ5844-4-4-44-44004-44-4000000000000000000000000−4i4i4i−4i00000000000000000000000000000000
χ5944-4-4-44-4400-44-44004i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000
χ6044-4-4-44-4400-44-4400−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000
χ614-44-44-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i20000004-4002i2−2i22i2−2i2000000000000000000000000000000000000
χ624-44-44-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i2000000-4400−2i22i2−2i22i2000000000000000000000000000000000000
χ634-44-44-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i20000004-400−2i22i2−2i22i2000000000000000000000000000000000000
χ644-44-44-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i2000000-44002i2−2i22i2−2i2000000000000000000000000000000000000
χ654-44-4-444-4004-4-44004i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ664-44-4-444-4004-4-4400−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000
χ674-44-4-444-400-444-4000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ684-44-4-444-400-444-400000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ694-4-4444-4-44-444-4-44-4000000000000-4400000000000000000000000000000000000000000000
χ704-4-4444-4-4-4444-4-4-440000000000004-400000000000000000000000000000000000000000000
χ714-4-44-4-4444-40000-442222−22−22−22−22222200000000000000000022−22−22220000000000000000000000000000
χ724-4-44-4-4444-40000-44−22−2222222222−22−22000000000000000000−222222−220000000000000000000000000000
χ734-4-44-4-444-4400004-42222−22−22−22−222222000000000000000000−222222−220000000000000000000000000000
χ744-4-44-4-444-4400004-4−22−2222222222−22−2200000000000000000022−22−22220000000000000000000000000000

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