Finite Group Databasebeta

← Group #330516

Character table — Group #330516

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444444444444444444888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ511111111111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ611111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ811111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1
χ91111111111111111-1-1-1-111-111-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-111-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-111-111-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11
χ121111111111111111-1-1-1-111-111-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1
χ131111111111111111-1-1-1-111-1-1-111-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-111
χ141111111111111111-1-1-1-111-1-1-111-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ151111111111111111-1-1-1-111-1-1-111-1-1-111-1-111-1-1111111-1-1-1-1-1-111-111-1
χ161111111111111111-1-1-1-111-1-1-111-1-1-111-1-111-1-111-1-111-1-11111-1-11-1-11
χ172222222222-2-22-2-2222-2-2-2-222222-2-2-2-2-2000000000000000000000000
χ182222222222-2-22-2-2222-2-2-2-22-2-2-2-2-22222000000000000000000000000
χ192222222222-2-22-2-22-2-222-2-2-222-2-22-2-222000000000000000000000000
χ202222222222-2-22-2-22-2-222-2-2-2-2-222222-2-2000000000000000000000000
χ2122222222-2-222-222-22222-2-2-20000-200002222-2-2-2-20000000000000000
χ2222222222-2-222-222-22222-2-2-20000-20000-2-2-2-222220000000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-2200002000022-2-2-2-2220000000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-22000020000-2-22222-2-20000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-200002000000000000002i−2i2i−2i0000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-20000200000000000000−2i2i−2i2i0000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222220000-2000000000000002i−2i−2i2i0000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222220000-200000000000000−2i2i2i−2i0000000000
χ2922-22-2-22-2002-202-202i−2i2i−2i00000000000000002i−2i2-2i2−i200002−22−2i2−i20000
χ3022-22-2-22-2002-202-202i−2i2i−2i00000000000000002i−2i2-2−i2i20000−22−22−i2i20000
χ3122-22-2-22-2002-202-202i−2i2i−2i0000000000000000−2i2i-22i2−i200002−2−22−i2i20000
χ3222-22-2-22-2002-202-202i−2i2i−2i0000000000000000−2i2i-22−i2i20000−222−2i2−i20000
χ3322-22-2-22-2002-202-20−2i2i−2i2i00000000000000002i−2i-22i2−i20000−222−2−i2i20000
χ3422-22-2-22-2002-202-20−2i2i−2i2i00000000000000002i−2i-22−i2i200002−2−22i2−i20000
χ3522-22-2-22-2002-202-20−2i2i−2i2i0000000000000000−2i2i2-2i2−i20000−22−22i2−i20000
χ3622-22-2-22-2002-202-20−2i2i−2i2i0000000000000000−2i2i2-2−i2i200002−22−2−i2i20000
χ37444-4-44-4-400440-4-4000000000000000004-40000000000000000000000
χ38444-4-44-4-400440-4-400000000000000000-440000000000000000000000
χ39444-4-44-4-400-4-404400000000000000000004i−4i00000000000000000000
χ40444-4-44-4-400-4-40440000000000000000000−4i4i00000000000000000000
χ4144-44-4-44-400-440-4404i−4i−4i4i000000000000000000000000000000000000
χ4244-44-4-44-400-440-440−4i4i4i−4i000000000000000000000000000000000000
χ4344-4-44-4-44444-4-4-44-400004-40000000000000000000000000000000000
χ4444-4-44-4-4444-44-44-4-40000-440000000000000000000000000000000000
χ4544-4-44-4-44-4-44-44-4440000-440000000000000000000000000000000000
χ4644-4-44-4-44-4-4-4444-4400004-40000000000000000000000000000000000
χ474-4444-4-4-44-400400-400000004-40000000000000000000000000000000
χ484-4444-4-4-44-400400-40000000-440000000000000000000000000000000
χ494-4444-4-4-4-4400-40040000000000004i−4i00000000000000000000000000
χ504-4444-4-4-4-4400-4004000000000000−4i4i00000000000000000000000000
χ514-4-4-4444-44-400-4004000000000000004-4000000000000000000000000
χ524-4-4-4444-44-400-400400000000000000-44000000000000000000000000
χ534-4-4-4444-4-4400400-40000000004i−4i00000000000000000000000000000
χ544-4-4-4444-4-4400400-4000000000−4i4i00000000000000000000000000000
χ558-88-8-8-888000000000000000000000000000000000000000000000000
χ568-8-88-88-88000000000000000000000000000000000000000000000000

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