Finite Group Databasebeta

← Group #460139

Character table — Group #460139

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444222244444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111
χ911111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ1722222222-2-2-2-222-2-22-22-20000000022-2-20000000022-2-2000000002-200000000
χ1822222222-2-2-2-222-2-22-22-20000000022-2-200000000-2-22200000000-2200000000
χ1922222222-2-2-2-222-2-22-22-200000000-2-2220000000022-2-200000000-2200000000
χ2022222222-2-2-2-222-2-22-22-200000000-2-22200000000-2-222000000002-200000000
χ2122222222-2-2-2-2-2-222-22-22000022-2-20000000022-2-2000000002-2000000000000
χ2222222222-2-2-2-2-2-222-22-22000022-2-200000000-2-22200000000-22000000000000
χ2322222222-2-2-2-2-2-222-22-220000-2-2220000000022-2-200000000-22000000000000
χ2422222222-2-2-2-2-2-222-22-220000-2-22200000000-2-222000000002-2000000000000
χ2522-222-2-2-22-2-222222-2-2-2-222-2-20000000022-2-2000000002-20000000000000000
χ2622-222-2-2-22-2-222222-2-2-2-222-2-200000000-2-22200000000-220000000000000000
χ2722-222-2-2-22-2-222222-2-2-2-2-2-2220000000022-2-200000000-220000000000000000
χ2822-222-2-2-22-2-222222-2-2-2-2-2-22200000000-2-222000000002-20000000000000000
χ292-222-22-2-222-2-22-22-2-2-2222-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ302-222-22-2-222-2-22-22-2-2-2222-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ312-222-22-2-222-2-22-22-2-2-222-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ322-222-22-2-222-2-22-22-2-2-222-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ332-222-22-2-2-2-2222-2-22-222-2000000002i−2i−2i2i0000000000000000002-200002i−2i0000
χ342-222-22-2-2-2-2222-2-22-222-2000000002i−2i−2i2i000000000000000000-220000−2i2i0000
χ352-222-22-2-2-2-2222-2-22-222-200000000−2i2i2i−2i0000000000000000002-20000−2i2i0000
χ362-222-22-2-2-2-2222-2-22-222-200000000−2i2i2i−2i000000000000000000-2200002i−2i0000
χ372-222-22-2-2-2-222-222-22-2-2200002i−2i−2i2i0000000000000000002-20000002i−2i000000
χ382-222-22-2-2-2-222-222-22-2-2200002i−2i−2i2i000000000000000000-22000000−2i2i000000
χ392-222-22-2-2-2-222-222-22-2-220000−2i2i2i−2i0000000000000000002-2000000−2i2i000000
χ402-222-22-2-2-2-222-222-22-2-220000−2i2i2i−2i000000000000000000-220000002i−2i000000
χ412-2-22-2-2222-22-22-22-222-2-22-2-2200000000000000000000000000000000002i−2i2i−2i
χ422-2-22-2-2222-22-22-22-222-2-22-2-220000000000000000000000000000000000−2i2i−2i2i
χ432-2-22-2-2222-22-22-22-222-2-2-222-200000000000000000000000000000000002i−2i−2i2i
χ442-2-22-2-2222-22-22-22-222-2-2-222-20000000000000000000000000000000000−2i2i2i−2i
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ4644-444-4-4-44-4-44-4-4-4-44444000000000000000000000000000000000000000000
χ4744-444-4-4-4-444-444-4-4-44-44000000000000000000000000000000000000000000
χ4844-444-4-4-4-444-4-4-4444-44-4000000000000000000000000000000000000000000
χ494-444-44-4-444-4-4-44-4444-4-4000000000000000000000000000000000000000000
χ504-44-44-44-40000000000000000000000002-22-2002i2−2i2002i2−2i2000000000000000000
χ514-44-44-44-40000000000000000000000002-22-200−2i22i200−2i22i2000000000000000000
χ524-44-44-44-4000000000000000000000000-22-22002i2−2i200−2i22i2000000000000000000
χ534-44-44-44-4000000000000000000000000-22-2200−2i22i2002i2−2i2000000000000000000
χ544-4-44-4-4444-44-4-44-44-4-444000000000000000000000000000000000000000000
χ554-4-44-4-444-44-444-4-444-4-44000000000000000000000000000000000000000000
χ564-4-44-4-444-44-44-444-4-444-4000000000000000000000000000000000000000000
χ574-4-4-444-440000000000000000000000002-2-2222−220022−2200000000000000000000
χ584-4-4-444-440000000000000000000000002-2-22−222200−222200000000000000000000
χ594-4-4-444-44000000000000000000000000-222-222−2200−222200000000000000000000
χ604-4-4-444-44000000000000000000000000-222-2−22220022−2200000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ6288-8-8-888-8000000000000000000000000000000000000000000000000000000

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