Finite Group Databasebeta

← Group #426500

Character table — Group #426500

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222222222222224444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-111-1-111
χ5111111111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-1-11111-1-111-1-1
χ911111111111111111111-1-1-1-11111111111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1011111111111111111111-1-1-1-111111111-1-1111111-1-111-1-1-11-11-1-1-1-1-1-1-1-11111
χ1111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111-11-1-1-111-1-11111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-11-1111111111-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-11-111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-2-2-220000000022-2-20022000000-2-200020-2000000000000
χ1822222222222-2-2-2-2-2-2-2-220000000022-2-200-2-200000022000-202000000000000
χ1922222222222-2-2-2-2-2-2-2-2200000000-2-2220022000000-2-2000-202000000000000
χ2022222222222-2-2-2-2-2-2-2-2200000000-2-22200-2-20000002200020-2000000000000
χ2122222222-2-2-222-2-222-2-2-2000000002-22-222000000-2-2002-20000000000000000
χ2222222222-2-2-222-2-222-2-2-2000000002-22-2-2-20000002200-220000000000000000
χ2322222222-2-2-222-2-222-2-2-200000000-22-2222000000-2-200-220000000000000000
χ2422222222-2-2-222-2-222-2-2-200000000-22-22-2-200000022002-20000000000000000
χ2522222222-2-2-2-2-222-2-222-222-2-200002-2-2200000000000000-2020000000000000
χ2622222222-2-2-2-2-222-2-222-222-2-20000-222-20000000000000020-20000000000000
χ2722222222-2-2-2-2-222-2-222-2-2-22200002-2-220000000000000020-20000000000000
χ2822222222-2-2-2-2-222-2-222-2-2-2220000-222-200000000000000-2020000000000000
χ29222-22-2-2-222-2222-2-2-22-2-22-22-222-2-200000000000000000000002-20000000000
χ30222-22-2-2-222-2222-2-2-22-2-22-22-2-2-2220000000000000000000000-220000000000
χ31222-22-2-2-222-2222-2-2-22-2-2-22-2222-2-20000000000000000000000-220000000000
χ32222-22-2-2-222-2222-2-2-22-2-2-22-22-2-22200000000000000000000002-20000000000
χ33222-22-2-2-2-2-22-2-22-2222-222-2-220000000000002i2i−2i−2i0000000000002i−2i00000000
χ34222-22-2-2-2-2-22-2-22-2222-222-2-22000000000000−2i−2i2i2i000000000000−2i2i00000000
χ35222-22-2-2-2-2-22-2-22-2222-22-222-20000000000002i2i−2i−2i000000000000−2i2i00000000
χ36222-22-2-2-2-2-22-2-22-2222-22-222-2000000000000−2i−2i2i2i0000000000002i−2i00000000
χ372-222-22-2-22-2-22-22-22-2-22200002i−2i2i−2i0000002i−2i0000002i−2i000000000000002-200
χ382-222-22-2-22-2-22-22-22-2-22200002i−2i2i−2i000000−2i2i000000−2i2i00000000000000-2200
χ392-222-22-2-22-2-22-22-22-2-2220000−2i2i−2i2i0000002i−2i0000002i−2i00000000000000-2200
χ402-222-22-2-22-2-22-22-22-2-2220000−2i2i−2i2i000000−2i2i000000−2i2i000000000000002-200
χ412-222-22-2-22-2-2-22-22-222-22000000000000002i−2i2i−2i2i−2i00−2i2i00000000000000002-2
χ422-222-22-2-22-2-2-22-22-222-22000000000000002i−2i−2i2i−2i2i00−2i2i0000000000000000-22
χ432-222-22-2-22-2-2-22-22-222-2200000000000000−2i2i2i−2i2i−2i002i−2i0000000000000000-22
χ442-222-22-2-22-2-2-22-22-222-2200000000000000−2i2i−2i2i−2i2i002i−2i00000000000000002-2
χ452-22-2-2-2222-222-222-22-2-2-200002i−2i−2i2i00002-20000002-20000000000002i−2i000000
χ462-22-2-2-2222-222-222-22-2-2-200002i−2i−2i2i0000-22000000-22000000000000−2i2i000000
χ472-22-2-2-2222-222-222-22-2-2-20000−2i2i2i−2i00002-20000002-2000000000000−2i2i000000
χ482-22-2-2-2222-222-222-22-2-2-20000−2i2i2i−2i0000-22000000-220000000000002i−2i000000
χ492-22-2-2-222-22-22-2-2-2-222220000000000002-2002-2-22-22000000000000002-20000
χ502-22-2-2-222-22-22-2-2-2-222220000000000002-200-222-2-2200000000000000-220000
χ512-22-2-2-222-22-22-2-2-2-22222000000000000-22002-2-222-200000000000000-220000
χ522-22-2-2-222-22-22-2-2-2-22222000000000000-2200-222-22-2000000000000002-20000
χ53444-44-4-4-444-4-4-4-4444-44-4000000000000000000000000000000000000000000
χ54444-44-4-4-4-4-4444-44-4-4-444000000000000000000000000000000000000000000
χ554-444-44-4-4-4444-4-444-44-4-4000000000000000000000000000000000000000000
χ564-444-44-4-4-444-444-4-44-44-4000000000000000000000000000000000000000000
χ574-44-4-4-4444-44-44-4-44-444-4000000000000000000000000000000000000000000
χ584-44-4-4-444-44-4-44444-4-4-44000000000000000000000000000000000000000000
χ5988-88-8-88-8000000000000000000000000000000000000000000000000000000
χ6088-8-8-88-88000000000000000000000000000000000000000000000000000000
χ618-8-888-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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