Finite Group Databasebeta

← Group #329939

Character table — Group #329939

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444442244444488888888888888884444888888884444
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1
χ91111111111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-11
χ101111111111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-111-1
χ111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-111-1
χ121111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-11
χ131111111111111111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ141111111111111111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ151111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ161111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ172222222222-22-2-2-2222-2-222-2-22222-2-2-2-2000000000000000000000000
χ182222222222-22-2-2-2222-2-222-2-2-2-2-2-22222000000000000000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-22222-2-2-2-222000000000000000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-222-2-22222-2-2000000000000000000000000
χ2122222222-2-22-2222-222-2-2-2-2-2200000000000000002-22-2000000000000
χ2222222222-2-22-2222-222-2-2-2-2-220000000000000000-22-22000000000000
χ2322222222-2-22-2222-2-2-2-2-2222-200000000000000002-2-22000000000000
χ2422222222-2-22-2222-2-2-2-2-2222-20000000000000000-222-2000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-22-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-22-200000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-22000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2200000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ2922-222-2-2-22-20-200022-2002-20000002-22-2000000000000i2−i2i2−i2i2−i2i2−i20000
χ3022-222-2-2-22-20-200022-2002-20000002-22-2000000000000−i2i2−i2i2−i2i2−i2i20000
χ3122-222-2-2-22-20-200022-2002-2000000-22-22000000000000i2−i2−i2i2i2−i2−i2i20000
χ3222-222-2-2-22-20-200022-2002-2000000-22-22000000000000−i2i2i2−i2−i2i2i2−i20000
χ3322-222-2-2-22-20-20002-2200-220000002-2-22000000000000i2−i2i2−i2−i2i2−i2i20000
χ3422-222-2-2-22-20-20002-2200-220000002-2-22000000000000−i2i2−i2i2i2−i2i2−i20000
χ3522-222-2-2-22-20-20002-2200-22000000-222-2000000000000i2−i2−i2i2−i2i2i2−i20000
χ3622-222-2-2-22-20-20002-2200-22000000-222-2000000000000−i2i2i2−i2i2−i2−i2i20000
χ37444-4-4-4-44444-4-4-44-4004-4000000000000000000000000000000000000
χ38444-4-4-4-4444-4-444-4-400-44000000000000000000000000000000000000
χ39444-4-4-4-44-4-444-4-44400-44000000000000000000000000000000000000
χ40444-4-4-4-44-4-4-4444-44004-4000000000000000000000000000000000000
χ4144-444-4-4-4-4404000-44-400-440000000000000000000000000000000000
χ4244-444-4-4-4-4404000-4-44004-40000000000000000000000000000000000
χ4344-4-4-444-44-404000-400000000004-40000000000000000000000000000
χ4444-4-4-444-44-404000-40000000000-440000000000000000000000000000
χ4544-4-4-444-4-440-40004000000004i−4i000000000000000000000000000000
χ4644-4-4-444-4-440-4000400000000−4i4i000000000000000000000000000000
χ474-4-44-44-4400404-4-40000000000000000000002i2−2i22i2−2i20000000000000000
χ484-4-44-44-4400404-4-4000000000000000000000−2i22i2−2i22i20000000000000000
χ494-4-44-44-4400-40-44400000000000000000000022−22−22220000000000000000
χ504-4-44-44-4400-40-444000000000000000000000−222222−220000000000000000
χ514-4-4-44-4440040-44-4000000000000000002i2−2i22i2−2i200000000000000000000
χ524-4-4-44-4440040-44-400000000000000000−2i22i2−2i22i200000000000000000000
χ534-4-4-44-44400-404-440000000000000000022−22−222200000000000000000000
χ544-4-4-44-44400-404-4400000000000000000−222222−2200000000000000000000
χ558-888-8-88-8000000000000000000000000000000000000000000000000
χ568-88-888-8-8000000000000000000000000000000000000000000000000

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