Finite Group Databasebeta

← Group #418371

Character table — Group #418371

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444222244444444444444444444222244444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ51111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ81111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1
χ911111111111111111111-1-111-1-1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ1111111111111111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ1211111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111
χ17222222222222-2-2-2-2-2-2-2-2002200-2-222-2-20000000000002-20000000000000000
χ18222222222222-2-2-2-2-2-2-2-2002200-2-2-2-222000000000000-220000000000000000
χ19222222222222-2-2-2-2-2-2-2-200-2-2002222-2-2000000000000-220000000000000000
χ20222222222222-2-2-2-2-2-2-2-200-2-20022-2-2220000000000002-20000000000000000
χ2122222222-2-2-2-222-2-222-2-2002-2002-2000022-2-2000000000000002-20000000000
χ2222222222-2-2-2-222-2-222-2-2002-2002-20000-2-22200000000000000-220000000000
χ2322222222-2-2-2-222-2-222-2-200-2200-22000022-2-200000000000000-220000000000
χ2422222222-2-2-2-222-2-222-2-200-2200-220000-2-222000000000000002-20000000000
χ2522222222-2-2-2-2-2-222-2-222222-2-2-2-22000000000000000000002-2000000000000
χ2622222222-2-2-2-2-2-222-2-22222-22-2-22-200000000000000000000-22000000000000
χ2722222222-2-2-2-2-2-222-2-222-2-22-222-2200000000000000000000-22000000000000
χ2822222222-2-2-2-2-2-222-2-222-2-2-22222-2000000000000000000002-2000000000000
χ29222-2-22-2-222-2-22-2-2-22-2220000000000002i−2i2i−2i2i2i−2i−2i0000000000000000002-200
χ30222-2-22-2-222-2-22-2-2-22-2220000000000002i−2i2i−2i−2i−2i2i2i000000000000000000-2200
χ31222-2-22-2-222-2-22-2-2-22-222000000000000−2i2i−2i2i2i2i−2i−2i000000000000000000-2200
χ32222-2-22-2-222-2-22-2-2-22-222000000000000−2i2i−2i2i−2i−2i2i2i0000000000000000002-200
χ33222-2-22-2-2-2-2222-2222-2-2-20000000000002i−2i−2i2i000022-2-200000000000000002i−2i
χ34222-2-22-2-2-2-2222-2222-2-2-20000000000002i−2i−2i2i0000-2-2220000000000000000−2i2i
χ35222-2-22-2-2-2-2222-2222-2-2-2000000000000−2i2i2i−2i000022-2-20000000000000000−2i2i
χ36222-2-22-2-2-2-2222-2222-2-2-2000000000000−2i2i2i−2i0000-2-22200000000000000002i−2i
χ372-2-2222-2-22-22-2222-2-2-22-22-2002-200000000002i−2i2i−2i000000000000002i−2i000000
χ382-2-2222-2-22-22-2222-2-2-22-22-2002-20000000000−2i2i−2i2i00000000000000−2i2i000000
χ392-2-2222-2-22-22-2222-2-2-22-2-2200-2200000000002i−2i2i−2i00000000000000−2i2i000000
χ402-2-2222-2-22-22-2222-2-2-22-2-2200-220000000000−2i2i−2i2i000000000000002i−2i000000
χ412-2-2222-2-2-22-22-2-22-2222-22-200-22000000000000002-22-20000000000002-20000
χ422-2-2222-2-2-22-22-2-22-2222-22-200-2200000000000000-22-22000000000000-220000
χ432-2-2222-2-2-22-22-2-22-2222-2-22002-2000000000000002-22-2000000000000-220000
χ442-2-2222-2-2-22-22-2-22-2222-2-22002-200000000000000-22-220000000000002-20000
χ452-2-2-2-22222-2-222-2-22-222-2000000002-22-200002-2-220000002-200000000000000
χ462-2-2-2-22222-2-222-2-22-222-2000000002-22-20000-222-2000000-2200000000000000
χ472-2-2-2-22222-2-222-2-22-222-200000000-22-2200002-2-22000000-2200000000000000
χ482-2-2-2-22222-2-222-2-22-222-200000000-22-220000-222-20000002-200000000000000
χ492-2-2-2-22222-2-22-222-22-2-22000000002-2-22000000002-2-22000000002-200000000
χ502-2-2-2-22222-2-22-222-22-2-22000000002-2-2200000000-222-200000000-2200000000
χ512-2-2-2-22222-2-22-222-22-2-2200000000-222-2000000002-2-2200000000-2200000000
χ522-2-2-2-22222-2-22-222-22-2-2200000000-222-200000000-222-2000000002-200000000
χ53444-4-44-4-444-4-4-4444-44-4-4000000000000000000000000000000000000000000
χ54444-4-44-4-4-4-444-44-4-4-4444000000000000000000000000000000000000000000
χ554-4-4444-4-44-44-4-4-4-4444-44000000000000000000000000000000000000000000
χ564-4-4444-4-4-44-4444-44-4-4-44000000000000000000000000000000000000000000
χ574-4-4-4-4444-444-44-44-4-44-44000000000000000000000000000000000000000000
χ584-4-4-4-4444-444-4-44-444-44-4000000000000000000000000000000000000000000
χ5988-88-8-88-8000000000000000000000000000000000000000000000000000000
χ6088-8-88-8-88000000000000000000000000000000000000000000000000000000
χ618-888-8-8-88000000000000000000000000000000000000000000000000000000
χ628-88-88-88-8000000000000000000000000000000000000000000000000000000

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