Finite Group Databasebeta

← Group #259641

Character table — Group #259641

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444422444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111-1-1-1-1-1-1111-111-1-11-111-1-111-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-1111-111-1-11-1-1-111-1-111-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-111-11-1-111-1111-1-111-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-111-11-1-111-11-1-111-1-1111111-1-1-1-1
χ911111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ1011111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111
χ1111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ1211111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1111-111-1-1-1-11111-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1111-1-1-11111-1-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1111-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-11-1-11111-1-111-1-1-1-111
χ17222222222222-2-222222222-2-2-2-222-2-2-2-2000000000000000000000000
χ18222222222222-2-22222-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000
χ2122222222-2-2-2-22-2000022-2-22-200002-200002-22-2000000000000000000
χ2222222222-2-2-2-22-2000022-2-22-200002-20000-22-22000000000000000000
χ2322222222-2-2-2-22-20000-2-2222-20000-2200002-2-22000000000000000000
χ2422222222-2-2-2-22-20000-2-2222-20000-220000-222-2000000000000000000
χ2522222222-2-2-2-2-22000022-2-2-220000-2200220000-2-20000000000000000
χ2622222222-2-2-2-2-22000022-2-2-220000-2200-2-20000220000000000000000
χ2722222222-2-2-2-2-220000-2-222-2200002-2002-20000-220000000000000000
χ2822222222-2-2-2-2-220000-2-222-2200002-200-2200002-20000000000000000
χ2922-2-2-2-22222-2-2002i2i−2i−2i2-22-200002i−2i000000000000000000002−2i2−i22−2i2−i2
χ3022-2-2-2-22222-2-2002i2i−2i−2i2-22-200002i−2i00000000000000000000−22−i2i2−22−i2i2
χ3122-2-2-2-22222-2-2002i2i−2i−2i-22-220000−2i2i000000000000000000002−2i2−i2−22−i2i2
χ3222-2-2-2-22222-2-2002i2i−2i−2i-22-220000−2i2i00000000000000000000−22−i2i22−2i2−i2
χ3322-2-2-2-22222-2-200−2i−2i2i2i2-22-20000−2i2i000000000000000000002−2−i2i22−2−i2i2
χ3422-2-2-2-22222-2-200−2i−2i2i2i2-22-20000−2i2i00000000000000000000−22i2−i2−22i2−i2
χ3522-2-2-2-22222-2-200−2i−2i2i2i-22-2200002i−2i000000000000000000002−2−i2i2−22i2−i2
χ3622-2-2-2-22222-2-200−2i−2i2i2i-22-2200002i−2i00000000000000000000−22i2−i22−2−i2i2
χ372-222-2-22-22-22-22-22i−2i2i−2i0000-220000002i−2i00000000002-2002i−2i00000000
χ382-222-2-22-22-22-22-22i−2i2i−2i0000-220000002i−2i0000000000-2200−2i2i00000000
χ392-222-2-22-22-22-22-2−2i2i−2i2i0000-22000000−2i2i00000000002-200−2i2i00000000
χ402-222-2-22-22-22-22-2−2i2i−2i2i0000-22000000−2i2i0000000000-22002i−2i00000000
χ412-222-2-22-22-22-2-222i−2i2i−2i00002-2000000−2i2i000000002i−2i002-20000000000
χ422-222-2-22-22-22-2-222i−2i2i−2i00002-2000000−2i2i00000000−2i2i00-220000000000
χ432-222-2-22-22-22-2-22−2i2i−2i2i00002-20000002i−2i000000002i−2i00-220000000000
χ442-222-2-22-22-22-2-22−2i2i−2i2i00002-20000002i−2i00000000−2i2i002-20000000000
χ4544-4-4-4-444-4-4440000004-4-440000000000000000000000000000000000
χ4644-4-4-4-444-4-444000000-444-40000000000000000000000000000000000
χ474-444-4-44-4-44-444400000000-4-400000000000000000000000000000000
χ484-444-4-44-4-44-44-4-4000000004400000000000000000000000000000000
χ494-4-4-4444-44-4-44004-4-4400000000000000000000000000000000000000
χ504-4-4-4444-44-4-4400-444-400000000000000000000000000000000000000
χ514-4-4-4444-4-444-40000000000004-4000000000000000000000000000000
χ524-4-4-4444-4-444-4000000000000-44000000000000000000000000000000
χ53888-88-8-8-8000000000000000000000000000000000000000000000000
χ5488-88-88-8-8000000000000000000000000000000000000000000000000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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