Finite Group Databasebeta

← Group #455939

Character table — Group #455939

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444224444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111-1-11-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-111-1-1-1-1
χ51111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1111111
χ911111111111111111111-1-11111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-11111
χ1011111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1111-1-11111-1-1
χ1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111111-1-111
χ1211111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-11111-111-1-1-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1111111-1-1
χ1611111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111-1-11111
χ1722222222-2-2-2-222-22-2-2-222200000000-2-2000022-2-200002000000-20000000000
χ1822222222-2-2-2-222-22-2-2-222200000000-2-20000-2-2220000-200000020000000000
χ1922222222-2-2-2-222-22-2-2-22-2-20000000022000022-2-20000-200000020000000000
χ2022222222-2-2-2-222-22-2-2-22-2-200000000220000-2-22200002000000-20000000000
χ2122222222-2-2-2-2-2-22-2222-20022-2-20000000000000022-2-202-2000000000000000
χ2222222222-2-2-2-2-2-22-2222-20022-2-200000000000000-2-2220-22000000000000000
χ2322222222-2-2-2-2-2-22-2222-200-2-2220000000000000022-2-20-22000000000000000
χ2422222222-2-2-2-2-2-22-2222-200-2-22200000000000000-2-22202-2000000000000000
χ2522-2-22-2-222-2-2222-2-222-2-20000002i2i−2i−2i0022-2-200000000000002i−2i00000000000
χ2622-2-22-2-222-2-2222-2-222-2-20000002i2i−2i−2i00-2-2220000000000000−2i2i00000000000
χ2722-2-22-2-222-2-2222-2-222-2-2000000−2i−2i2i2i0022-2-20000000000000−2i2i00000000000
χ2822-2-22-2-222-2-2222-2-222-2-2000000−2i−2i2i2i00-2-22200000000000002i−2i00000000000
χ292-222-2-2-2222-2-22-22-22-2-22002i−2i2i−2i000000000000000000000000002-2002i−2i0000
χ302-222-2-2-2222-2-22-22-22-2-22002i−2i2i−2i00000000000000000000000000-2200−2i2i0000
χ312-222-2-2-2222-2-22-22-22-2-2200−2i2i−2i2i000000000000000000000000002-200−2i2i0000
χ322-222-2-2-2222-2-22-22-22-2-2200−2i2i−2i2i00000000000000000000000000-22002i−2i0000
χ332-222-2-2-2222-2-2-22-22-222-22-2000000002-20000000000000002i−2i000000000002i−2i
χ342-222-2-2-2222-2-2-22-22-222-22-2000000002-2000000000000000−2i2i00000000000−2i2i
χ352-222-2-2-2222-2-2-22-22-222-2-2200000000-220000000000000002i−2i00000000000−2i2i
χ362-222-2-2-2222-2-2-22-22-222-2-2200000000-22000000000000000−2i2i000000000002i−2i
χ372-222-2-2-22-2-222-22222-2-2-22-22i−2i−2i2i2i−2i2i−2i-22000000000000000000000000000000
χ382-222-2-2-22-2-222-22222-2-2-22-2−2i2i2i−2i−2i2i−2i2i-22000000000000000000000000000000
χ392-222-2-2-22-2-222-22222-2-2-2-222i−2i−2i2i−2i2i−2i2i2-2000000000000000000000000000000
χ402-222-2-2-22-2-222-22222-2-2-2-22−2i2i2i−2i2i−2i2i−2i2-2000000000000000000000000000000
χ412-2-2-2-2222-22-22-22-2-22-2220000002-2-220000000000000000000000002-2002-200
χ422-2-2-2-2222-22-22-22-2-22-2220000002-2-22000000000000000000000000-2200-2200
χ432-2-2-2-2222-22-22-22-2-22-222000000-222-20000000000000000000000002-200-2200
χ442-2-2-2-2222-22-22-22-2-22-222000000-222-2000000000000000000000000-22002-200
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ4644-4-44-4-444-4-44-4-444-4-444000000000000000000000000000000000000000000
χ4744-4-44-4-44-444-4444-4-4-44-4000000000000000000000000000000000000000000
χ4844-4-44-4-44-444-4-4-4-4444-44000000000000000000000000000000000000000000
χ494-444-4-4-44-4-4444-4-4-4-4444000000000000000000000000000000000000000000
χ504-44-444-4-40000000000000000000000002i−2i2i−2i22−2200002i2−2i2000000000000000000
χ514-44-444-4-40000000000000000000000002i−2i2i−2i−22220000−2i22i2000000000000000000
χ524-44-444-4-4000000000000000000000000−2i2i−2i2i22−220000−2i22i2000000000000000000
χ534-44-444-4-4000000000000000000000000−2i2i−2i2i−222200002i2−2i2000000000000000000
χ544-4-444-44-40000000000000000000000002i−2i−2i2i002i2−2i222−2200000000000000000000
χ554-4-444-44-40000000000000000000000002i−2i−2i2i00−2i22i2−222200000000000000000000
χ564-4-444-44-4000000000000000000000000−2i2i2i−2i002i2−2i2−222200000000000000000000
χ574-4-444-44-4000000000000000000000000−2i2i2i−2i00−2i22i222−2200000000000000000000
χ584-4-4-4-44444-44-44-4-444-44-4000000000000000000000000000000000000000000
χ594-4-4-4-44444-44-4-444-4-44-44000000000000000000000000000000000000000000
χ604-4-4-4-4444-44-444-444-44-4-4000000000000000000000000000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ6288-88-88-8-8000000000000000000000000000000000000000000000000000000

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