Finite Group Databasebeta

← Group #258604

Character table — Group #258604

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-1111111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ91111111111111111-1-1-1-111111-1-1111-1-1-111-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111-1-1111-1-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-111111-1-11-1-1-1-1-111-1-1111111-1-1-1-11-1-1-111-1-111-1-11111-1-1
χ121111111111111111-1-1-1-111111-1-11-1-1-1-1-111-1-111-1-1-1-111111-1-1-11111-1-111-1-1-1-111
χ131111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-111-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-111-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-111111111-1-1-1-11-111-1-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-11111-1-1-1-111111-111-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-2222-2-20000-222-22200-200002200000000-2-20000000000000000
χ1822222222222-2-2-2-2222-2-20000-222-2-2-200-20000-2-200000000220000000000000000
χ1922222222222-2-2-2-22-2-2220000-2-2-2-2220020000-2-2000000002-20000000000000000
χ2022222222222-2-2-2-22-2-2220000-2-2-2-2-2-200200002200000000-220000000000000000
χ2122222222-2-2-22222-222-2-22222-2-2-2-200222-2-2-2-20000000000000000000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-2-2-2-2-200-2-2222220000000000000000000000000000
χ2322222222-2-2-22222-2-2-2222222-222-200-2-2-2-2-2220000000000000000000000000000
χ2422222222-2-2-22222-2-2-222-2-2-2-2-222-20022-222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200002-2-220000-200000000000000002-22-2000000000000
χ2622222222-2-2-2-2-2-2-2-2222200002-2-220000-20000000000000000-22-22000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2000022220000200000000000000002-2-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-200002222000020000000000000000-222-2000000000000
χ2922-2-2-222-20002-22-20002i−2i2i2i−2i−2i02i−2i000000002-200i2i2−i2−i222−2−2000000000000002−2i2−i2
χ3022-2-2-222-20002-22-20002i−2i2i2i−2i−2i02i−2i000000002-200−i2−i2i2i2−2−22200000000000000−22−i2i2
χ3122-2-2-222-20002-22-20002i−2i−2i−2i2i2i02i−2i00000000-2200i2i2−i2−i222−2−200000000000000−22−i2i2
χ3222-2-2-222-20002-22-20002i−2i−2i−2i2i2i02i−2i00000000-2200−i2−i2i2i2−2−222000000000000002−2i2−i2
χ3322-2-2-222-20002-22-2000−2i2i2i2i−2i−2i0−2i2i00000000-2200i2i2−i2−i2−2−222000000000000002−2−i2i2
χ3422-2-2-222-20002-22-2000−2i2i2i2i−2i−2i0−2i2i00000000-2200−i2−i2i2i222−2−200000000000000−22i2−i2
χ3522-2-2-222-20002-22-2000−2i2i−2i−2i2i2i0−2i2i000000002-200i2i2−i2−i2−2−22200000000000000−22i2−i2
χ3622-2-2-222-20002-22-2000−2i2i−2i−2i2i2i0−2i2i000000002-200−i2−i2i2i222−2−2000000000000002−2−i2i2
χ372-22-22-22-222-2-222-2-200002i−2i2i−2i-2002000002i−2i0000000000000000002i−2i002-2000000
χ382-22-22-22-222-2-222-2-200002i−2i2i−2i-2002000002i−2i000000000000000000−2i2i00-22000000
χ392-22-22-22-222-2-222-2-20000−2i2i−2i2i-200200000−2i2i0000000000000000002i−2i00-22000000
χ402-22-22-22-222-2-222-2-20000−2i2i−2i2i-200200000−2i2i000000000000000000−2i2i002-2000000
χ412-22-22-22-2-2-22-222-2200002i−2i2i−2i200-200000−2i2i000000000000000000002-2002i−2i0000
χ422-22-22-22-2-2-22-222-2200002i−2i2i−2i200-200000−2i2i00000000000000000000-2200−2i2i0000
χ432-22-22-22-2-2-22-222-220000−2i2i−2i2i200-2000002i−2i000000000000000000002-200−2i2i0000
χ442-22-22-22-2-2-22-222-220000−2i2i−2i2i200-2000002i−2i00000000000000000000-22002i−2i0000
χ45444-4-4-4-444-440000-400000000000000000000000000022−2222−22000000000000000000
χ46444-4-4-4-444-440000-4000000000000000000000000000−2222−2222000000000000000000
χ47444-4-4-4-44-44-400004000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ48444-4-4-4-44-44-40000400000000000000000000000−2i22i2−2i22i20000000000000000000000
χ4944-444-4-4-4000000004-40000000000000000000002-2-222-2-22000000000000000000
χ5044-444-4-4-4000000004-4000000000000000000000-222-2-222-2000000000000000000
χ5144-444-4-4-400000000-440000000000000000000002-2-22-222-2000000000000000000
χ5244-444-4-4-400000000-44000000000000000000000-222-22-2-22000000000000000000
χ5344-4-4-444-4000-44-440004i−4i00000−4i4i00000000000000000000000000000000000000
χ5444-4-4-444-4000-44-44000−4i4i000004i−4i00000000000000000000000000000000000000
χ554-444-44-4-44-4-4000040000000000000000000004i−4i00000000000000000000000000
χ564-444-44-4-44-4-400004000000000000000000000−4i4i00000000000000000000000000
χ574-444-44-4-4-4440000-40000000000004-400000000000000000000000000000000000
χ584-444-44-4-4-4440000-4000000000000-4400000000000000000000000000000000000
χ594-44-44-44-444-44-4-44-400000000400-40000000000000000000000000000000000000
χ604-44-44-44-4-4-444-4-44400000000-40040000000000000000000000000000000000000
χ614-4-44-4-44400044-4-40000000000000004i−4i000000000000000000000000000000000
χ624-4-44-4-44400044-4-4000000000000000−4i4i000000000000000000000000000000000
χ634-4-44-4-444000-4-444000004-4-4400000000000000000000000000000000000000000
χ644-4-44-4-444000-4-44400000-444-400000000000000000000000000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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