Finite Group Databasebeta

← Group #295935

Character table — Group #295935

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444488888888888888888888888888888888888881616161616163232
order12222222444444444444444444224444444444488888888888888888888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1
χ711111111111111111111111111-1-11-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ811111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ9111111111111-1-1-1-11111-1-11-1-1111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1
χ10111111111111-1-1-1-11111-1-11-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-11-11
χ11111111111111-1-1-1-11111-1-11-1-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1-11
χ12111111111111-1-1-1-11111-1-11-1-1111-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-11-11-1
χ13111111111111-1-1-1-11111-1-11-1-11-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-111-1
χ14111111111111-1-1-1-11111-1-11-1-11-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-11-11-11
χ15111111111111-1-1-1-11111-1-11-1-11-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-11
χ16111111111111-1-1-1-11111-1-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-111-11-1
χ172222222222-2-2222222-2-222-2-2-2-200-200222200000000000000000000000000000000-2-200
χ182222222222-2-2222222-2-222-2-2-2-200-200-2-2-2-2000000000000000000000000000000002200
χ192222222222-2-2-2-2-2-222-2-2-2-2-222-20020022-2-2000000000000000000000000000000002-200
χ202222222222-2-2-2-2-2-222-2-2-2-2-222-200200-2-22200000000000000000000000000000000-2200
χ2122222222-2-2222222-2-222-2-2-222-222-2220000000000000000000000000000000000-2-20000
χ2222222222-2-2222222-2-222-2-2-222-2-2-2-2-2-20000000000000000000000000000000000220000
χ2322222222-2-222-2-2-2-2-2-22222-2-2-2-2222-2-20000000000000000000000000000000000-220000
χ2422222222-2-222-2-2-2-2-2-22222-2-2-2-2-2-222200000000000000000000000000000000002-20000
χ2522222222-2-2-2-22222-2-2-2-2-2-22-2-2200200000022-2-20000000000000000000000002-2000000
χ2622222222-2-2-2-22222-2-2-2-2-2-22-2-22002000000-2-222000000000000000000000000-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000022-2-2000000000000000000000000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2000000-2-2220000000000000000000000002-2000000
χ2922-22-2-22-22-2002i2i−2i−2i2-2002i−2i0000000002-22i−2i00000000000022−2−2i2i2−i2−i222−2−2i2i2−i2−i200000000
χ3022-22-2-22-22-2002i2i−2i−2i2-2002i−2i0000000002-22i−2i000000000000−2−222−i2−i2i2i2−2−222−i2−i2i2i200000000
χ3122-22-2-22-22-2002i2i−2i−2i2-2002i−2i000000000-22−2i2i00000000000022−2−2i2i2−i2−i2−2−222−i2−i2i2i200000000
χ3222-22-2-22-22-2002i2i−2i−2i2-2002i−2i000000000-22−2i2i000000000000−2−222−i2−i2i2i222−2−2i2i2−i2−i200000000
χ3322-22-2-22-22-200−2i−2i2i2i2-200−2i2i0000000002-2−2i2i00000000000022−2−2−i2−i2i2i222−2−2−i2−i2i2i200000000
χ3422-22-2-22-22-200−2i−2i2i2i2-200−2i2i0000000002-2−2i2i000000000000−2−222i2i2−i2−i2−2−222i2i2−i2−i200000000
χ3522-22-2-22-22-200−2i−2i2i2i2-200−2i2i000000000-222i−2i00000000000022−2−2−i2−i2i2i2−2−222i2i2−i2−i200000000
χ3622-22-2-22-22-200−2i−2i2i2i2-200−2i2i000000000-222i−2i000000000000−2−222i2i2−i2−i222−2−2−i2−i2i2i200000000
χ372-2-2222-2-22-22-20000-222-200-20020000000002i−2i2i−2i000022-2-22i−2i2i−2i00000000000000000000
χ382-2-2222-2-22-22-20000-222-200-20020000000002i−2i2i−2i0000-2-222−2i2i−2i2i00000000000000000000
χ392-2-2222-2-22-22-20000-222-200-2002000000000−2i2i−2i2i000022-2-2−2i2i−2i2i00000000000000000000
χ402-2-2222-2-22-22-20000-222-200-2002000000000−2i2i−2i2i0000-2-2222i−2i2i−2i00000000000000000000
χ412-2-2222-2-2-22-2200002-2-2200-20020000000002i−2i−2i2i22-2-2000000002i−2i2i−2i0000000000000000
χ422-2-2222-2-2-22-2200002-2-2200-20020000000002i−2i−2i2i-2-22200000000−2i2i−2i2i0000000000000000
χ432-2-2222-2-2-22-2200002-2-2200-2002000000000−2i2i2i−2i22-2-200000000−2i2i−2i2i0000000000000000
χ442-2-2222-2-2-22-2200002-2-2200-2002000000000−2i2i2i−2i-2-222000000002i−2i2i−2i0000000000000000
χ452-2-2-22-22200-2-22-22-200220002-202-202-2000000002−22−22−22−2000000002−22−22−22−200000000
χ462-2-2-22-22200-2-22-22-200220002-202-202-200000000−22−22−22−2200000000−22−22−22−2200000000
χ472-2-2-22-22200-2-22-22-200220002-20-220-22000000002−22−22−22−200000000−22−22−22−2200000000
χ482-2-2-22-22200-2-22-22-200220002-20-220-2200000000−22−22−22−22000000002−22−22−22−200000000
χ492-2-2-22-22200-2-2-22-220022000-2202-20-22000000002−22−2−22−22000000002−22−2−22−2200000000
χ502-2-2-22-22200-2-2-22-220022000-2202-20-2200000000−22−222−22−200000000−22−222−22−200000000
χ512-2-2-22-22200-2-2-22-220022000-220-2202-2000000002−22−2−22−2200000000−22−222−22−200000000
χ522-2-2-22-22200-2-2-22-220022000-220-2202-200000000−22−222−22−2000000002−22−2−22−2200000000
χ53444-44-4-4-4004-4000000-44000000000000000000022−22−22220000000000000000000000000000
χ54444-44-4-4-4004-4000000-440000000000000000000−222222−220000000000000000000000000000
χ55444-44-4-4-400-440000004-40000000000000000000000022−22−2222000000000000000000000000
χ56444-44-4-4-400-440000004-400000000000000000000000−222222−22000000000000000000000000
χ5744-44-4-44-4-44004i4i−4i−4i-4400−4i4i0000000000000000000000000000000000000000000000000
χ5844-44-4-44-4-4400−4i−4i4i4i-44004i−4i0000000000000000000000000000000000000000000000000
χ594-444-4-4-4444000000-4-4000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ604-444-4-4-4444000000-4-400000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ614-444-4-4-44-4-40000004400000000000000000000000000000000022−22−22220000000000000000
χ624-444-4-4-44-4-400000044000000000000000000000000000000000−222222−220000000000000000
χ634-44-4-444-400004i−4i−4i4i0000000000000000000000000000000000000002-2-222i−2i−2i2i00000000
χ644-44-4-444-400004i−4i−4i4i000000000000000000000000000000000000000-222-2−2i2i2i−2i00000000
χ654-44-4-444-40000−4i4i4i−4i0000000000000000000000000000000000000002-2-22−2i2i2i−2i00000000
χ664-44-4-444-40000−4i4i4i−4i000000000000000000000000000000000000000-222-22i−2i−2i2i00000000
χ674-4-4444-4-44-4-440000-44-4400400-4000000000000000000000000000000000000000000000
χ684-4-4444-4-4-444-400004-44-400400-4000000000000000000000000000000000000000000000
χ694-4-4-44-44400444-44-400-4-4000-440000000000000000000000000000000000000000000000
χ704-4-4-44-4440044-44-4400-4-40004-40000000000000000000000000000000000000000000000
χ7188-8-8-88-88000000000000000000000000000000000000000000000000000000000000000

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