Finite Group Databasebeta

← Group #246717

Character table — Group #246717

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442444444444444488888888222244444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-11111
χ511111111111111111111111-1-11-1-111-1-1-1-11111111111-1-1-1-11-11-1-1-1-1-1-1-11111
χ611111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-1111111-1-1-1-1
χ711111111111111111111111-1-11-1-1-1-11111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-11-1-11-111-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-11-1-11-111-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-11-1-11-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-111-11111-1-1-1-111
χ121111111111111111-1-11-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-111-1-1-1-1-11111-1-1
χ131111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11-1-1111-1-11111-1-1
χ141111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-111
χ151111111111111111-1-11-1-11-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ161111111111111111-1-11-1-11-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ172222222222-2-222-2-222-222-2-222-222000000000000000000000-20-20000000000
χ182222222222-2-222-2-222-222-2-2-2-2-2-2-20000000000000000000002020000000000
χ192222222222-2-222-2-2-2-2-2-2-2-22222-2-2000000000000000000000-2020000000000
χ202222222222-2-222-2-2-2-2-2-2-2-22-2-222200000000000000000000020-20000000000
χ2122222222-2-222-2-22222-2-2-2-2200-20022000022000000000000-20-200000000000
χ2222222222-2-222-2-22222-2-2-2-2200-200-2-20000-2-200000000000020200000000000
χ2322222222-2-222-2-222-2-2-222-2-200200220000-2-2000000000000-20200000000000
χ2422222222-2-222-2-222-2-2-222-2-200200-2-200002200000000000020-200000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22-2002000022-2-200000000002-20000000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22-20020000-2-2220000000000-220000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222200-2000022-2-20000000000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222200-20000-2-22200000000002-20000000000000000
χ292-22-222-2-22-2002-2002i−2i02i−2i002i−2i02-200000000i2i2−i2−i222−2−200000000002−2i2−i20000
χ302-22-222-2-22-2002-2002i−2i02i−2i002i−2i02-200000000−i2−i2i2i2−2−2220000000000−22−i2i20000
χ312-22-222-2-22-2002-2002i−2i02i−2i00−2i2i0-2200000000i2i2−i2−i222−2−20000000000−22−i2i20000
χ322-22-222-2-22-2002-2002i−2i02i−2i00−2i2i0-2200000000−i2−i2i2i2−2−22200000000002−2i2−i20000
χ332-22-222-2-22-2002-200−2i2i0−2i2i002i−2i0-2200000000i2i2−i2−i2−2−22200000000002−2−i2i20000
χ342-22-222-2-22-2002-200−2i2i0−2i2i002i−2i0-2200000000−i2−i2i2i222−2−20000000000−22i2−i20000
χ352-22-222-2-22-2002-200−2i2i0−2i2i00−2i2i02-200000000i2i2−i2−i2−2−2220000000000−22i2−i20000
χ362-22-222-2-22-2002-200−2i2i0−2i2i00−2i2i02-200000000−i2−i2i2i222−2−200000000002−2−i2i20000
χ372-2-2-22-2222-22-2-222-200-2002000000002-22-20000002-22-2000000002-200000000
χ382-2-2-22-2222-22-2-222-200-2002000000002-22-2000000-22-2200000000-2200000000
χ392-2-2-22-2222-22-2-222-200-200200000000-22-220000002-22-200000000-2200000000
χ402-2-2-22-2222-22-2-222-200-200200000000-22-22000000-22-22000000002-200000000
χ412-2-2-22-222-22-222-2-2200-2002000000002-2-22002-22-20000002-200000000000000
χ422-2-2-22-222-22-222-2-2200-2002000000002-2-2200-22-22000000-2200000000000000
χ432-2-2-22-222-22-222-2-2200-200200000000-222-2002-22-2000000-2200000000000000
χ442-2-2-22-222-22-222-2-2200-200200000000-222-200-22-220000002-200000000000000
χ45444-4-4-44-4004-400-440000000000004i−4i00000000000000000000000000000000
χ46444-4-4-44-4004-400-44000000000000−4i4i00000000000000000000000000000000
χ47444-4-4-44-400-44004-40000000000000000004i−4i00000000000000000000000000
χ48444-4-4-44-400-44004-4000000000000000000−4i4i00000000000000000000000000
χ4944-444-4-4-44400-4-40000000000000000000000000022−22−2222000000000000000000
χ5044-444-4-4-44400-4-400000000000000000000000000−222222−22000000000000000000
χ5144-444-4-4-4-4-4004400000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5244-444-4-4-4-4-400440000000000000000000000−2i22i22i2−2i20000000000000000000000
χ534-44-444-4-4-4400-44004i−4i0−4i4i00000000000000000000000000000000000000000
χ544-44-444-4-4-4400-4400−4i4i04i−4i00000000000000000000000000000000000000000
χ554-4-44-444-4004400-4-4000000000000000000000000000000000000000000002i2−2i2
χ564-4-44-444-4004400-4-400000000000000000000000000000000000000000000−2i22i2
χ574-4-44-444-400-4-4004400000000000000000000000000000000000000000022−2200
χ584-4-44-444-400-4-40044000000000000000000000000000000000000000000−222200
χ594-4-4-44-4444-4-44-44-4400400-40000000000000000000000000000000000000000
χ604-4-4-44-444-444-44-44-400400-40000000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-888-8-8-88000000000000000000000000000000000000000000000000000000

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