Finite Group Databasebeta

← Group #500412

Character table — Group #500412

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222224444442444444444444444442444444444444488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-11-1-11-11-1-1-1-1-111-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11-11111-1-111
χ5111111111111111111-1-1111111111111-1-1-1-11-1-1-1-111111-1-1-1-1
χ6111111111111111111-1-111111111-1-1-1-1111-1-11-11-1-1-1-1-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-11-1-1111111-1-1
χ91111111111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-111-1-1-111-1-11-11-1
χ101111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11-11-111-11-1-1111-1-11
χ111111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-111-1-1-1-1-111-11-11
χ121111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-11-111-1111-1-1-111-1
χ131111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-111-111-1-1-11-11
χ141111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1111-1-111-1-111-111-1
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-111-1-1-1111-11-1
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1111-1-11111-1-11-1-11
χ172222222-2-222222-2-2-2-2000000000022-2-2000020000-200000000
χ182222222-2-222222-2-2-2-20000000000-2-2220000-20000200000000
χ192222222-2-22-2-2-2-2-2-222000000000022-2-20000-20000200000000
χ202222222-2-22-2-2-2-2-2-2220000000000-2-222000020000-200000000
χ21222222-222-222-2-2-2-22-222000000000000000-200-202000000000
χ22222222-222-222-2-2-2-22-2-2-200000000000000020020-2000000000
χ23222222-222-2-2-222-2-2-2222000000000000000200-20-2000000000
χ24222222-222-2-2-222-2-2-22-2-2000000000000000-200202000000000
χ25222222-2-2-2-222-2-222-220000000000000022200-20-20000000000
χ26222222-2-2-2-222-2-222-2200000000000000-2-2-2002020000000000
χ27222222-2-2-2-2-2-222222-20000000000000022-200-2020000000000
χ28222222-2-2-2-2-2-222222-200000000000000-2-220020-20000000000
χ2922-2-22-2-22-2200002-2000000002i2i−2i−2i2i−2i2i−2i0000000000002-20000
χ3022-2-22-2-22-2200002-2000000002i2i−2i−2i−2i2i−2i2i000000000000-220000
χ3122-2-22-2-22-2200002-200000000−2i−2i2i2i2i−2i2i−2i000000000000-220000
χ3222-2-22-2-22-2200002-200000000−2i−2i2i2i−2i2i−2i2i0000000000002-20000
χ3322-2-22-2-2-2220000-2200002i2i−2i−2i00002i−2i−2i2i00000000002-2000000
χ3422-2-22-2-2-2220000-2200002i2i−2i−2i0000−2i2i2i−2i0000000000-22000000
χ3522-2-22-2-2-2220000-220000−2i−2i2i2i00002i−2i−2i2i0000000000-22000000
χ3622-2-22-2-2-2220000-220000−2i−2i2i2i0000−2i2i2i−2i00000000002-2000000
χ374444-4-40000004-40000002-22-22-22-20000000000000000000000
χ384444-4-40000004-4000000-22-22-22-220000000000000000000000
χ394444-4-4000000-440000002-22-2-22-220000000000000000000000
χ404444-4-4000000-44000000-22-222-22-20000000000000000000000
χ4144-4-44-444-4-40000-440000000000000000000000000000000000
χ4244-4-44-44-44-400004-40000000000000000000000000000000000
χ4344-4-4-4400004-4000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ4444-4-4-4400004-400000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ4544-4-4-440000-44000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ4644-4-4-440000-4400000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ478-88-800000000000000000000000000004i−4i0000000000000000
χ488-88-80000000000000000000000000000−4i4i0000000000000000
χ498-8-88000000000000004i−4i000000000000000000000000000000
χ508-8-8800000000000000−4i4i000000000000000000000000000000

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