Finite Group Databasebeta

← Group #259621

Character table — Group #259621

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444422444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-1-1-111-1-11-11-11-1111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-1-1-111-1-11-11-11-1-1-11-111-1-111-1-111-1-111
χ11111111111111-1-1-1-111111111-1-1-1-111-1-1-11-11-1111-11-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-111111111-1-1-1-111-1-1-11-11-11-1-1-1111-1-11111-1-111-1-1
χ13111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1-1111-11-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1-11-1-1-111111-1-1-1-11111-1-1
χ15111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-111-1111-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-111-1-1-11-11111-1-111-1-1-1-111
χ172222222222222222-2-22222-2-2-2-222-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000
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
χ2122222222-2-2-2-222-2-22-200002-20000002-200002200-2-200000000000000
χ2222222222-2-2-2-222-2-22-200002-20000002-20000-2-2002200000000000000
χ2322222222-2-2-2-222-2-2-220000-22000000-2222-2-200000000000000000000
χ2422222222-2-2-2-222-2-2-220000-22000000-22-2-22200000000000000000000
χ2522222222-2-2-2-2-2-2222-200002-2000000-2200002-200-2200000000000000
χ2622222222-2-2-2-2-2-2222-200002-2000000-220000-22002-200000000000000
χ2722222222-2-2-2-2-2-222-220000-220000002-22-2-2200000000000000000000
χ2822222222-2-2-2-2-2-222-220000-220000002-2-222-200000000000000000000
χ2922-222-2-2-2-2-2222-22-2002i2i−2i−2i00002i−2i00000000000000000000i2−i2i2−i22−22−2
χ3022-222-2-2-2-2-2222-22-2002i2i−2i−2i00002i−2i00000000000000000000−i2i2−i2i2−22−22
χ3122-222-2-2-2-2-2222-22-200−2i−2i2i2i0000−2i2i00000000000000000000i2−i2i2−i2−22−22
χ3222-222-2-2-2-2-2222-22-200−2i−2i2i2i0000−2i2i00000000000000000000−i2i2−i2i22−22−2
χ3322-222-2-2-2-2-222-22-22002i2i−2i−2i0000−2i2i00000000000000000000i2−i2−i2i22−2−22
χ3422-222-2-2-2-2-222-22-22002i2i−2i−2i0000−2i2i00000000000000000000−i2i2i2−i2−222−2
χ3522-222-2-2-2-2-222-22-2200−2i−2i2i2i00002i−2i00000000000000000000i2−i2−i2i2−222−2
χ3622-222-2-2-2-2-222-22-2200−2i−2i2i2i00002i−2i00000000000000000000−i2i2i2−i22−2−22
χ372-222-22-2-22-22-200002-22i−2i2i−2i-2200002i−2i000000002-200002i−2i0000000000
χ382-222-22-2-22-22-200002-22i−2i2i−2i-2200002i−2i00000000-220000−2i2i0000000000
χ392-222-22-2-22-22-200002-2−2i2i−2i2i-220000−2i2i000000002-20000−2i2i0000000000
χ402-222-22-2-22-22-200002-2−2i2i−2i2i-220000−2i2i00000000-2200002i−2i0000000000
χ412-222-22-2-22-22-20000-222i−2i2i−2i2-20000−2i2i0000000000002i−2i002-200000000
χ422-222-22-2-22-22-20000-222i−2i2i−2i2-20000−2i2i000000000000−2i2i00-2200000000
χ432-222-22-2-22-22-20000-22−2i2i−2i2i2-200002i−2i0000000000002i−2i00-2200000000
χ442-222-22-2-22-22-20000-22−2i2i−2i2i2-200002i−2i000000000000−2i2i002-200000000
χ4544-444-4-4-444-4-44-4-440000000000000000000000000000000000000000
χ4644-444-4-4-444-4-4-444-40000000000000000000000000000000000000000
χ474-444-44-4-4-44-440000440000-4-400000000000000000000000000000000
χ484-444-44-4-4-44-440000-4-400004400000000000000000000000000000000
χ494-4-44-4-4444-4-440000000000004-4000000000000000000000000000000
χ504-4-44-4-4444-4-44000000000000-44000000000000000000000000000000
χ514-4-44-4-444-444-40000004-4-440000000000000000000000000000000000
χ524-4-44-4-444-444-4000000-444-40000000000000000000000000000000000
χ53888-8-8-88-8000000000000000000000000000000000000000000000000
χ5488-8-8-88-88000000000000000000000000000000000000000000000000
χ558-88-88-8-88000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

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