Finite Group Databasebeta

← Group #460705

Character table — Group #460705

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222244444444888822444444888888888844444444444444888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-11-1-11111-1-11-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11111-11111-1-1-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111111111
χ911111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-11111-1-111
χ1011111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-111-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-111-1-1111-1-1-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11111-1-111-1-1-111-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1111111-1-111
χ1722222222-2-2-2-222-2-22-22-2000022-2-2000000000022-2-202-200000000000000000
χ1822222222-2-2-2-222-2-22-22-2000022-2-20000000000-2-2220-2200000000000000000
χ1922222222-2-2-2-222-2-22-22-20000-2-222000000000022-2-20-2200000000000000000
χ2022222222-2-2-2-222-2-22-22-20000-2-2220000000000-2-22202-200000000000000000
χ2122222222-2-2-2-2-2-222-22-22222200000000-2-2000000002002-20000-20000000000
χ2222222222-2-2-2-2-2-222-22-22222200000000-2-200000000-200-22000020000000000
χ2322222222-2-2-2-2-2-222-22-22-2-2-2-2000000002200000000200-220000-20000000000
χ2422222222-2-2-2-2-2-222-22-22-2-2-2-2000000002200000000-2002-2000020000000000
χ2522-2-2-2-22222-2-22-22-22-2-2200002-22-22i2i−2i−2i0000000000000000000000002i−2i0000
χ2622-2-2-2-22222-2-22-22-22-2-2200002-22-2−2i−2i2i2i000000000000000000000000−2i2i0000
χ2722-2-2-2-22222-2-22-22-22-2-220000-22-222i2i−2i−2i000000000000000000000000−2i2i0000
χ2822-2-2-2-22222-2-22-22-22-2-220000-22-22−2i−2i2i2i0000000000000000000000002i−2i0000
χ2922-2-2-2-22222-2-2-22-22-222-22i2i−2i−2i000000002i−2i00000000000002i−2i000002-2000000
χ3022-2-2-2-22222-2-2-22-22-222-22i2i−2i−2i000000002i−2i0000000000000−2i2i00000-22000000
χ3122-2-2-2-22222-2-2-22-22-222-2−2i−2i2i2i00000000−2i2i00000000000002i−2i00000-22000000
χ3222-2-2-2-22222-2-2-22-22-222-2−2i−2i2i2i00000000−2i2i0000000000000−2i2i000002-2000000
χ3322-2-2-2-222-2-2222-2-2222-2-22i2i−2i−2i2-2-220000−2i2i2i2i−2i−2i000000000000000000000000
χ3422-2-2-2-222-2-2222-2-2222-2-22i2i−2i−2i-222-20000−2i2i−2i−2i2i2i000000000000000000000000
χ3522-2-2-2-222-2-2222-2-2222-2-2−2i−2i2i2i2-2-2200002i−2i−2i−2i2i2i000000000000000000000000
χ3622-2-2-2-222-2-2222-2-2222-2-2−2i−2i2i2i-222-200002i−2i2i2i−2i−2i000000000000000000000000
χ372-222-2-2-222-2-2222-22-2-2-22000000000000002-22-2000000000000002i−2i0000002i−2i
χ382-222-2-2-222-2-2222-22-2-2-22000000000000002-22-200000000000000−2i2i000000−2i2i
χ392-222-2-2-222-2-2222-22-2-2-2200000000000000-22-22000000000000002i−2i000000−2i2i
χ402-222-2-2-222-2-2222-22-2-2-2200000000000000-22-2200000000000000−2i2i0000002i−2i
χ412-2-2-222-22-22-222-222-2-22-2000000000000002i−2i−2i2i000000000002-200000002i−2i00
χ422-2-2-222-22-22-222-222-2-22-2000000000000002i−2i−2i2i00000000000-220000000−2i2i00
χ432-2-2-222-22-22-222-222-2-22-200000000000000−2i2i2i−2i000000000002-20000000−2i2i00
χ442-2-2-222-22-22-222-222-2-22-200000000000000−2i2i2i−2i00000000000-2200000002i−2i00
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ4644-4-4-4-444-4-444-444-4-4-444000000000000000000000000000000000000000000
χ474-444-4-4-444-4-44-4-44-4444-4000000000000000000000000000000000000000000
χ484-444-4-4-44-444-4444-4-44-4-4000000000000000000000000000000000000000000
χ494-444-4-4-44-444-4-4-4-444-444000000000000000000000000000000000000000000
χ504-44-44-44-40000000000002i2−2i22i2−2i200002-22-2000000002i2−2i200000000000000000000
χ514-44-44-44-40000000000002i2−2i22i2−2i20000-22-2200000000−2i22i200000000000000000000
χ524-44-44-44-4000000000000−2i22i2−2i22i200002-22-200000000−2i22i200000000000000000000
χ534-44-44-44-4000000000000−2i22i2−2i22i20000-22-22000000002i2−2i200000000000000000000
χ544-4-44-444-400000000000022−22−222200002i−2i−2i2i0000002i2−2i20000000000000000000000
χ554-4-44-444-400000000000022−22−22220000−2i2i2i−2i000000−2i22i20000000000000000000000
χ564-4-44-444-4000000000000−222222−2200002i−2i−2i2i000000−2i22i20000000000000000000000
χ574-4-44-444-4000000000000−222222−220000−2i2i2i−2i0000002i2−2i20000000000000000000000
χ584-4-4-444-444-44-44-4-4-4-4444000000000000000000000000000000000000000000
χ594-4-4-444-444-44-4-44444-4-4-4000000000000000000000000000000000000000000
χ604-4-4-444-44-44-44-44-4-444-44000000000000000000000000000000000000000000
χ61888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ6288-888-8-8-8000000000000000000000000000000000000000000000000000000

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