Finite Group Databasebeta

← Group #511892

Character table — Group #511892

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order1222224444888822448888888888222244444444888888888816161616161616164444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-11-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-11-1
χ911111111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1211111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-111-1
χ1511111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-111-1
χ1611111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-22222-2-22222222200000000-2-2-2-2-2-200000000000000000000
χ182222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000002222-2-200000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-2222200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000022-2-22200000000000000000000
χ212222-2-22-22-222222-22-2-2-2000000002222-2-2-2-200002-200000000000000000000
χ222222-2-22-22-222222-22-2-2-200000000-2-2-2-2222200002-200000000000000000000
χ232222-2-22-22-22222-22-22-2-20000000022-2-2-2-2220000-2200000000000000000000
χ242222-2-22-22-22222-22-22-2-200000000-2-22222-2-20000-2200000000000000000000
χ252222-2-22-22-2-2-2-2-22-22-22200000000000000000000-222i2i−2i−2i2i2i−2i−2i000000000000
χ262222-2-22-22-2-2-2-2-22-22-22200000000000000000000-22−2i−2i2i2i−2i−2i2i2i000000000000
χ272222-2-22-22-2-2-2-2-2-22-2222000000000000000000002-22i2i−2i−2i−2i−2i2i2i000000000000
χ282222-2-22-22-2-2-2-2-2-22-2222000000000000000000002-2−2i−2i2i2i2i2i−2i−2i000000000000
χ292222-2-2-22-2200002-2-220022-2-222-2-200000000000000000000002−22−22−22−20000
χ302222-2-2-22-2200002-2-220022-2-222-2-20000000000000000000000−22−22−22−220000
χ312222-2-2-22-2200002-2-2200-2-222-2-22200000000000000000000002−22−2−22−220000
χ322222-2-2-22-2200002-2-2200-2-222-2-2220000000000000000000000−22−222−22−20000
χ332222-2-2-22-220000-222-20022-2-2-2-22200000000000000000000002−2−222−2−220000
χ342222-2-2-22-220000-222-20022-2-2-2-2220000000000000000000000−222−2−222−20000
χ352222-2-2-22-220000-222-200-2-22222-2-200000000000000000000002−2−22−222−20000
χ362222-2-2-22-220000-222-200-2-22222-2-20000000000000000000000−222−22−2−220000
χ372-2-222-2-222-222-2-200002-200002i−2i2i−2i002-2002-2002i−2i002i−2i2i−2i0000000000000000
χ382-2-222-2-222-222-2-200002-200002i−2i2i−2i00-2200-22002i−2i00−2i2i−2i2i0000000000000000
χ392-2-222-2-222-222-2-200002-20000−2i2i−2i2i002-2002-200−2i2i00−2i2i−2i2i0000000000000000
χ402-2-222-2-222-222-2-200002-20000−2i2i−2i2i00-2200-2200−2i2i002i−2i2i−2i0000000000000000
χ412-2-222-2-222-2-2-2220000-2200002i−2i2i−2i2-2002-20000−2i2i0000002i−2i2i−2i000000000000
χ422-2-222-2-222-2-2-2220000-2200002i−2i2i−2i-2200-220000−2i2i000000−2i2i−2i2i000000000000
χ432-2-222-2-222-2-2-2220000-220000−2i2i−2i2i2-2002-200002i−2i000000−2i2i−2i2i000000000000
χ442-2-222-2-222-2-2-2220000-220000−2i2i−2i2i-2200-2200002i−2i0000002i−2i2i−2i000000000000
χ452-2-22-22-2-22222-2-20000-222-22-20000002-200-222-2000000002-2-22000000000000
χ462-2-22-22-2-22222-2-20000-222-22-2000000-22002-22-200000000-222-2000000000000
χ472-2-22-22-2-22222-2-20000-22-22-220000002-200-22-2200000000-222-2000000000000
χ482-2-22-22-2-22222-2-20000-22-22-22000000-22002-2-22000000002-2-22000000000000
χ492-2-22-22-2-222-2-22200002-22-22-200002-200-2200-2200002-2-220000000000000000
χ502-2-22-22-2-222-2-22200002-22-22-20000-22002-200-220000-222-20000000000000000
χ512-2-22-22-2-222-2-22200002-2-22-2200002-200-22002-20000-222-20000000000000000
χ522-2-22-22-2-222-2-22200002-2-22-220000-22002-2002-200002-2-220000000000000000
χ53444444-4-4-4-4000044-4-400000000000000000000000000000000000000000000
χ54444444-4-4-4-40000-4-44400000000000000000000000000000000000000000000
χ554-4-444-44-4-4400000000004-4-4400000000000000000000000000000000000000
χ564-4-444-44-4-440000000000-444-400000000000000000000000000000000000000
χ574-4-44-4444-4-4000000000000004i−4i−4i4i0000000000000000000000000000000000
χ584-4-44-4444-4-400000000000000−4i4i4i−4i0000000000000000000000000000000000
χ5988-8-800000042−4242−42000000000000000000000000000000000000000000000000
χ6088-8-8000000−4242−4242000000000000000000000000000000000000000000000000
χ618-88-800000042−42−4242000000000000000000000000000000000000000000000000
χ628-88-8000000−424242−42000000000000000000000000000000000000000000000000

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