Finite Group Databasebeta

← Group #252874

Character table — Group #252874

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442244444444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-11111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-11111-1-1-1-11111-1-11-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ91111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-11111-1-1-1-11-1-1-111-1-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-111111-1-1-11111-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-11111-1-1-1-1-1111-1-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11111-1111-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-2222-2-2222222-2-2-2-2-2-2000022-200000000000000000000000000
χ1822222222222-2-2-2-2222-2-2-2-2-2-222-2-222220000-2-2-200000000000000000000000000
χ1922222222222-2-2-2-22-2-2222222-2-2-2-2-2-2220000-2-2200000000000000000000000000
χ2022222222222-2-2-2-22-2-222-2-2-2-2-2-2-2-222-2-2000022200000000000000000000000000
χ2122222222-2-2-22222-222-2-20000-2-2-2-2000022-2-200200000000-220000000000000000
χ2222222222-2-2-22222-222-2-20000-2-2-2-20000-2-222002000000002-20000000000000000
χ2322222222-2-2-22222-2-2-222000022-2-20000222200-200000000-2-20000000000000000
χ2422222222-2-2-22222-2-2-222000022-2-20000-2-2-2-200-200000000220000000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-2-2220000000000-200000000002-22-2000000000000
χ2622222222-2-2-2-2-2-2-2-222220000-2-2220000000000-20000000000-22-22000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2000022220000000000200000000002-2-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-200002222000000000020000000000-222-2000000000000
χ2922-22-2-2-2222-22-22-2-200002i2i−2i−2i002-22i−2i00000000000000000000000002-20000002i−2i
χ3022-22-2-2-2222-22-22-2-200002i2i−2i−2i002-22i−2i0000000000000000000000000-22000000−2i2i
χ3122-22-2-2-2222-22-22-2-20000−2i−2i2i2i002-2−2i2i00000000000000000000000002-2000000−2i2i
χ3222-22-2-2-2222-22-22-2-20000−2i−2i2i2i002-2−2i2i0000000000000000000000000-220000002i−2i
χ3322-22-2-2-2222-2-22-22-200002i2i−2i−2i00-22−2i2i000000000000000000000002-20000002i−2i00
χ3422-22-2-2-2222-2-22-22-200002i2i−2i−2i00-22−2i2i00000000000000000000000-22000000−2i2i00
χ3522-22-2-2-2222-2-22-22-20000−2i−2i2i2i00-222i−2i000000000000000000000002-2000000−2i2i00
χ3622-22-2-2-2222-2-22-22-20000−2i−2i2i2i00-222i−2i00000000000000000000000-220000002i−2i00
χ372-2-2222-2-22-2-2000022-2002i−2i2i−2i2-200000000002i−2i022−2−222−2−20000000000i2−i2i2−i20000
χ382-2-2222-2-22-2-2000022-2002i−2i2i−2i2-200000000002i−2i0−2−222−2−2220000000000−i2i2−i2i20000
χ392-2-2222-2-22-2-2000022-200−2i2i−2i2i2-20000000000−2i2i022−2−222−2−20000000000−i2i2−i2i20000
χ402-2-2222-2-22-2-2000022-200−2i2i−2i2i2-20000000000−2i2i0−2−222−2−2220000000000i2−i2i2−i20000
χ412-2-2222-2-22-2-200002-22002i−2i2i−2i-220000000000−2i2i022−2−2−2−2220000000000i2−i2−i2i20000
χ422-2-2222-2-22-2-200002-22002i−2i2i−2i-220000000000−2i2i0−2−22222−2−20000000000−i2i2i2−i20000
χ432-2-2222-2-22-2-200002-2200−2i2i−2i2i-2200000000002i−2i022−2−2−2−2220000000000−i2i2i2−i20000
χ442-2-2222-2-22-2-200002-2200−2i2i−2i2i-2200000000002i−2i0−2−22222−2−20000000000i2−i2−i2i20000
χ45444-44-4-4-400000000004-400000000000000000002-22-22-22-2000000000000000000
χ46444-44-4-4-400000000004-40000000000000000000-22-22-22-22000000000000000000
χ47444-44-4-4-40000000000-4400000000000000000002-22-2-22-22000000000000000000
χ48444-44-4-4-40000000000-440000000000000000000-22-222-22-2000000000000000000
χ4944-44-4-4-44-4-444-44-440000000000-440000000000000000000000000000000000000
χ5044-44-4-4-44-4-44-44-44400000000004-40000000000000000000000000000000000000
χ514-444-4-44-44-440000-400004-4-4400000000000000000000000000000000000000000
χ524-444-4-44-44-440000-40000-444-400000000000000000000000000000000000000000
χ534-444-4-44-4-44-400004000000000000004i−4i000000000000000000000000000000000
χ544-444-4-44-4-44-40000400000000000000−4i4i000000000000000000000000000000000
χ554-44-4-44-4400044-4-4000000000000000004i−4i0000000000000000000000000000000
χ564-44-4-44-4400044-4-400000000000000000−4i4i0000000000000000000000000000000
χ574-44-4-44-44000-4-44400000000000000000004-400000000000000000000000000000
χ584-44-4-44-44000-4-4440000000000000000000-4400000000000000000000000000000
χ594-4-4444-4-4-4440000-44-4000000-44000000000000000000000000000000000000000
χ604-4-4444-4-4-4440000-4-440000004-4000000000000000000000000000000000000000
χ614-4-4-44-4440004-4-44000000000000000000000000000022−22−2222000000000000000000
χ624-4-4-44-4440004-4-440000000000000000000000000000−222222−22000000000000000000
χ634-4-4-44-444000-444-400000000000000000000000022−22−22220000000000000000000000
χ644-4-4-44-444000-444-4000000000000000000000000−222222−220000000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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