Finite Group Databasebeta

← Group #24321

Character table — Group #24321

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222224444442244444224444444444444444888888
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ5111111111111-1-1-1-111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111-1-1-1-111111-111-1-1-1-1-111111111-1-1-1-1-1-1
χ7111111111111-1-1-1-1111-1-1-1-1-111-111-1-1-1-111111111-1-1
χ8111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ91111111-1-11111111-1-1-111-1-1-11-1-11-111-1-111-1-111-1-11-1
χ101111111-1-11111111-1-1-111-1-1-1-11-1-11-1-111-1-11111-1-1-11
χ111111111-1-11111111-1-1-1-1-1-1111-1-11-111-1-1-1-111-1-111-11
χ121111111-1-11111111-1-1-1-1-1-111-11-1-11-1-11111-1-1-1-1111-1
χ131111111-1-1111-1-1-1-1-1-1-1111-1-11-111-1-1-111-1-111-1-1111-1
χ141111111-1-1111-1-1-1-1-1-1-1111-1-1-111-1111-1-111-1-1-1-111-11
χ151111111-1-1111-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-11
χ161111111-1-1111-1-1-1-1-1-1-1-1-1111-111-1111-1-1-1-11111-1-11-1
χ17222222-222-2-2-200002-2-200000000002-22-20000000000
χ18222222-222-2-2-200002-2-20000000000-22-220000000000
χ19222222-2-2-2-2-2-20000-22200000000002-2-220000000000
χ20222222-2-2-2-2-2-20000-2220000000000-222-20000000000
χ212222-2-2222-2-220000-22-200000220-2-200000000000000
χ222222-2-2222-2-220000-22-200000-2-202200000000000000
χ232222-2-22-2-2-2-2200002-22000002-20-2200000000000000
χ242222-2-22-2-2-2-2200002-2200000-2202-200000000000000
χ252222-2-2-22222-222-2-2-2-220020000-20000000000000000
χ262222-2-2-22222-2-2-222-2-2200-2000020000000000000000
χ272222-2-2-2-2-222-222-2-222-200-2000020000000000000000
χ282222-2-2-2-2-222-2-2-22222-20020000-20000000000000000
χ2922-2-22-22002-2-22-22-20002-200000000000000002-20000
χ3022-2-22-22002-2-22-22-2000-220000000000000000-220000
χ3122-2-22-22002-2-2-22-220002-20000000000000000-220000
χ3222-2-22-22002-2-2-22-22000-2200000000000000002-20000
χ3322-2-2-22-2002-222-2-220000002i−2i0000000000000002i−2i00
χ3422-2-2-22-2002-222-2-22000000−2i2i000000000000000−2i2i00
χ3522-2-2-22-2002-22-222-20000002i−2i000000000000000−2i2i00
χ3622-2-2-22-2002-22-222-2000000−2i2i0000000000000002i−2i00
χ3744-4-44-4-400-4440000000000000000000000000000000
χ3844-4-4-44400-44-40000000000000000000000000000000
χ394-44-40004-40000000000000000000000002i−2i2i−2i000000
χ404-44-40004-4000000000000000000000000−2i2i−2i2i000000
χ414-44-4000-440000000000000000000000002i−2i−2i2i000000
χ424-44-4000-44000000000000000000000000−2i2i2i−2i000000
χ438-8-88000000000000000000000000000000000000000

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