Finite Group Databasebeta

← Group #33064

Character table — Group #33064

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111122222244444444444444444444444444441616161616161616
order1222224444224444444444888888888888888822448888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ611111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ711111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1
χ91111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ121111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ131111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11-11
χ141111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-111-11-1
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ17222222-2-2-2-2000022-2-2000000002i2i−2i−2i00002i2i−2i−2i00000000
χ18222222-2-2-2-2000022-2-200000000−2i−2i2i2i0000−2i−2i2i2i00000000
χ19222222-2-2-2-20000-2-222000000002i2i−2i−2i0000−2i−2i2i2i00000000
χ20222222-2-2-2-20000-2-22200000000−2i−2i2i2i00002i2i−2i−2i00000000
χ212222-2-222-2-200002-22-2000022-2-2000022-2-2000000000000
χ222222-2-222-2-200002-22-20000-2-2220000-2-222000000000000
χ232222-2-222-2-20000-22-22000022-2-20000-2-222000000000000
χ242222-2-222-2-20000-22-220000-2-222000022-2-2000000000000
χ252222-2-2-2-22222-2-22-2-2222-2-2000000000000000000000000
χ262222-2-2-2-22222-2-2-222-2-2-222000000000000000000000000
χ272222-2-2-2-222-2-2222-2-22-2-222000000000000000000000000
χ282222-2-2-2-222-2-222-222-222-2-2000000000000000000000000
χ2922-2-22-22-22-2000000002i−2i2i−2i00002-22-22i−2i2i−2i000000000000
χ3022-2-22-22-22-2000000002i−2i2i−2i0000-22-22−2i2i−2i2i000000000000
χ3122-2-22-22-22-200000000−2i2i−2i2i00002-22-2−2i2i−2i2i000000000000
χ3222-2-22-22-22-200000000−2i2i−2i2i0000-22-222i−2i2i−2i000000000000
χ3322-2-22-2-22-222-22-2000000002i−2i2i−2i2i−2i−2i2i0000000000000000
χ3422-2-22-2-22-222-22-200000000−2i2i−2i2i−2i2i2i−2i0000000000000000
χ3522-2-22-2-22-22-22-22000000002i−2i2i−2i−2i2i2i−2i0000000000000000
χ3622-2-22-2-22-22-22-2200000000−2i2i−2i2i2i−2i−2i2i0000000000000000
χ3722-2-2-222-2-222-2-2200000000000000002i−2i−2i2i2i−2i2i−2i00000000
χ3822-2-2-222-2-222-2-220000000000000000−2i2i2i−2i−2i2i−2i2i00000000
χ3922-2-2-222-2-22-222-200000000000000002i−2i−2i2i−2i2i−2i2i00000000
χ4022-2-2-222-2-22-222-20000000000000000−2i2i2i−2i2i−2i2i−2i00000000
χ4122-2-2-22-222-2000000002i−2i−2i2i2i−2i−2i2i00000000-222-200000000
χ4222-2-2-22-222-2000000002i−2i−2i2i−2i2i2i−2i000000002-2-2200000000
χ4322-2-2-22-222-200000000−2i2i2i−2i2i−2i−2i2i000000002-2-2200000000
χ4422-2-2-22-222-200000000−2i2i2i−2i−2i2i2i−2i00000000-222-200000000
χ458-88-8000000000000000000000000000000000000000000
χ468-8-88000000000000000000000000000000000000000000

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