Finite Group Databasebeta

← Group #462359

Character table — Group #462359

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222244444444888844444444888888888824444444444444888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-1-11-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-111-1111-1111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ5111111111111111111111111-1-1-1-1111111-1-1-1-1111111-11-1-1-1-1-11-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-11111-1-1-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-11111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1111111
χ911111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1
χ1011111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-11111-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111111-1-1-1-1-111-1-1-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1111111-1-1-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-111-1-1111-1-1-111-1-111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1111-1-1111-1-1-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-111-111-1-111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-11-1-1111111-1-1
χ1722222222-2-2-2-222-22-2-2-22000022-2-2000000000022-2-2002000-20000000000000
χ1822222222-2-2-2-222-22-2-2-22000022-2-20000000000-2-22200-200020000000000000
χ1922222222-2-2-2-222-22-2-2-220000-2-222000000000022-2-200-200020000000000000
χ2022222222-2-2-2-222-22-2-2-220000-2-2220000000000-2-222002000-20000000000000
χ2122222222-2-2-2-2-2-22-2222-2222200000000-2-200000000220-200000-20000000000
χ2222222222-2-2-2-2-2-22-2222-2222200000000-2-200000000-2-2020000020000000000
χ2322222222-2-2-2-2-2-22-2222-2-2-2-2-20000000022000000002-20-20000020000000000
χ2422222222-2-2-2-2-2-22-2222-2-2-2-2-2000000002200000000-220200000-20000000000
χ2522-222-2-2-22-2-222-2-2-222-22000000000000002i2i−2i−2i00000000000000002i−2i002-200
χ2622-222-2-2-22-2-222-2-2-222-22000000000000002i2i−2i−2i0000000000000000−2i2i00-2200
χ2722-222-2-2-22-2-222-2-2-222-2200000000000000−2i−2i2i2i00000000000000002i−2i00-2200
χ2822-222-2-2-22-2-222-2-2-222-2200000000000000−2i−2i2i2i0000000000000000−2i2i002-200
χ292-222-2-2-2222-2-22-2-222-22-200002i−2i2i−2i2i2i−2i−2i0000000000000000000000002-20000
χ302-222-2-2-2222-2-22-2-222-22-200002i−2i2i−2i−2i−2i2i2i000000000000000000000000-220000
χ312-222-2-2-2222-2-22-2-222-22-20000−2i2i−2i2i2i2i−2i−2i000000000000000000000000-220000
χ322-222-2-2-2222-2-22-2-222-22-20000−2i2i−2i2i−2i−2i2i2i0000000000000000000000002-20000
χ332-222-2-2-2222-2-2-222-2-22-2222-2-2000000002-20000000000002i−2i02i−2i00000000000
χ342-222-2-2-2222-2-2-222-2-22-2222-2-2000000002-2000000000000−2i2i0−2i2i00000000000
χ352-222-2-2-2222-2-2-222-2-22-22-2-22200000000-220000000000002i−2i0−2i2i00000000000
χ362-222-2-2-2222-2-2-222-2-22-22-2-22200000000-22000000000000−2i2i02i−2i00000000000
χ372-222-2-2-22-2-2222-222-22-2-222-2-22i−2i−2i2i0000-222i−2i2i−2i000000000000000000000000
χ382-222-2-2-22-2-2222-222-22-2-222-2-2−2i2i2i−2i0000-22−2i2i−2i2i000000000000000000000000
χ392-222-2-2-22-2-2222-222-22-2-2-2-2222i−2i−2i2i00002-2−2i2i−2i2i000000000000000000000000
χ402-222-2-2-22-2-2222-222-22-2-2-2-222−2i2i2i−2i00002-22i−2i2i−2i000000000000000000000000
χ412-2-22-222-2-22-2222-2-2-222-2000000000000002-2-22000000000000002i−2i0000002i−2i
χ422-2-22-222-2-22-2222-2-2-222-2000000000000002-2-2200000000000000−2i2i000000−2i2i
χ432-2-22-222-2-22-2222-2-2-222-200000000000000-222-2000000000000002i−2i000000−2i2i
χ442-2-22-222-2-22-2222-2-2-222-200000000000000-222-200000000000000−2i2i0000002i−2i
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ46444-4-44-4-400000000000022−2222−2200002-22-200000022−220000000000000000000000
χ47444-4-44-4-400000000000022−2222−220000-22-22000000−22220000000000000000000000
χ48444-4-44-4-4000000000000−2222−222200002-22-2000000−22220000000000000000000000
χ49444-4-44-4-4000000000000−2222−22220000-22-2200000022−220000000000000000000000
χ5044-444-4-4-44-4-44-4444-4-44-4000000000000000000000000000000000000000000
χ5144-444-4-4-4-444-44-44-4-4-444000000000000000000000000000000000000000000
χ5244-444-4-4-4-444-4-44-4444-4-4000000000000000000000000000000000000000000
χ534-444-4-4-44-4-444-44-4-44-444000000000000000000000000000000000000000000
χ544-44-44-44-400000000000022−22−222200002i−2i−2i2i000000002i2−2i200000000000000000000
χ554-44-44-44-400000000000022−22−22220000−2i2i2i−2i00000000−2i22i200000000000000000000
χ564-44-44-44-4000000000000−222222−2200002i−2i−2i2i00000000−2i22i200000000000000000000
χ574-44-44-44-4000000000000−222222−220000−2i2i2i−2i000000002i2−2i200000000000000000000
χ584-4-44-444-44-44-4444-44-4-4-4000000000000000000000000000000000000000000
χ594-4-44-444-44-44-4-4-4-44-4444000000000000000000000000000000000000000000
χ604-4-44-444-4-44-44-4-4444-4-44000000000000000000000000000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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