Finite Group Databasebeta

← Group #25622

Character table — Group #25622

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222224444444444444222244444444448888888822
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ9111111-1-11111-1-1-11111-1-11-11-11-11-111-1-111-1-111-1-11-1
χ10111111-1-11111-1-1-11111-1-11-11-11-11-1-1-111-1-111-1-111-11
χ11111111-1-11111-1-1-11111-1-1-11-11-11-1111-1-1-1-111-1-1111-1
χ12111111-1-11111-1-1-11111-1-1-11-11-11-11-1-11111-1-111-1-1-11
χ13111111-1-11111-1-1-1-1-1-1-1111-11-1-11-1111-1-111-1-1-1-111-11
χ14111111-1-11111-1-1-1-1-1-1-1111-11-1-11-11-1-111-1-11111-1-11-1
χ15111111-1-11111-1-1-1-1-1-1-111-11-111-11-111-1-1-1-11111-1-1-11
χ16111111-1-11111-1-1-1-1-1-1-111-11-111-11-1-1-11111-1-1-1-1111-1
χ1722222222-2-2-2-2-2-2222-2-22-20000000000000000000000
χ1822222222-2-2-2-2-2-22-2-222-220000000000000000000000
χ19222222-2-2-2-2-2-222-222-2-2-220000000000000000000000
χ20222222-2-2-2-2-2-222-2-2-2222-20000000000000000000000
χ212222-2-22222-2-22-2-2000000000022-2-200000000000000
χ222222-2-22222-2-22-2-20000000000-2-22200000000000000
χ232222-2-222-2-222-22-200000022-2-2000000000000000000
χ242222-2-222-2-222-22-2000000-2-222000000000000000000
χ252222-2-2-2-222-2-2-22200000000002-2-2200000000000000
χ262222-2-2-2-222-2-2-2220000000000-222-200000000000000
χ272222-2-2-2-2-2-2222-220000002-2-22000000000000000000
χ282222-2-2-2-2-2-2222-22000000-222-2000000000000000000
χ2922-2-22-2002-22-20002i−2i2i−2i00000000000000002i−2i002-200
χ3022-2-22-2002-22-20002i−2i2i−2i0000000000000000−2i2i00-2200
χ3122-2-22-2002-22-2000−2i2i−2i2i00000000000000002i−2i00-2200
χ3222-2-22-2002-22-2000−2i2i−2i2i0000000000000000−2i2i002-200
χ3322-2-22-200-22-220002i−2i−2i2i000000000000002i−2i002-20000
χ3422-2-22-200-22-220002i−2i−2i2i00000000000000−2i2i00-220000
χ3522-2-22-200-22-22000−2i2i2i−2i000000000000002i−2i00-220000
χ3622-2-22-200-22-22000−2i2i2i−2i00000000000000−2i2i002-20000
χ3744-4-4-44004-4-440000000000000000000000000000000
χ3844-4-4-4400-444-40000000000000000000000000000000
χ394-4-44004-40000000000000000000002-22-20000000000
χ404-4-44004-4000000000000000000000-22-220000000000
χ414-4-4400-440000000000000000000002-2-220000000000
χ424-4-4400-44000000000000000000000-222-20000000000
χ438-88-8000000000000000000000000000000000000000

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