Finite Group Databasebeta

← Group #24670

Character table — Group #24670

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444444444444888822244488888888882288
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-11-1-11111-111-111-1-111-1-1-1-1-1-111-1-1
χ611111111111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111
χ711111111111111-1-11-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111
χ811111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ9111111-1-11111-1-111-11111-1-1-111-1-1-1-1-11-111-1-1111-11-1
χ10111111-1-11111-1-111-11111-1-1-1-1-1-111111-111-1-1-1-1-11-11
χ11111111-1-11111-1-111-111-1-111-111-1-1-1-1-1-11-1-11111-11-11
χ12111111-1-11111-1-111-111-1-111-1-1-1-11111-11-1-111-1-11-11-1
χ13111111-1-11111-1-1-1-1-1-1-111-1-11111-1-1111-1-1-111-1-11-1-11
χ14111111-1-11111-1-1-1-1-1-1-111-1-11-1-1111-1-11-1-1-11111-111-1
χ15111111-1-11111-1-1-1-1-1-1-1-1-1111111-1-111-1111-1-1-1-1-111-1
χ16111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1111-1-1111-1-11
χ1722222222-2-2-2-2-2-200200000000000000002i−2i2i−2i000000
χ1822222222-2-2-2-2-2-20020000000000000000−2i2i−2i2i000000
χ19222222-2-2-2-2-2-22200-200000000000000002i−2i−2i2i000000
χ20222222-2-2-2-2-2-22200-20000000000000000−2i2i2i−2i000000
χ212222-2-2222-2-222-222-2-2-20000-20020000000000000000
χ222222-2-2222-2-222-2-2-2-2220000200-20000000000000000
χ232222-2-222-222-2-2200-200222200000000-2-20000000000
χ242222-2-222-222-2-2200-200-2-2-2-200000000220000000000
χ252222-2-2-2-22-2-22-22222-2-20000200-20000000000000000
χ262222-2-2-2-22-2-22-22-2-22220000-20020000000000000000
χ272222-2-2-2-2-222-22-20020022-2-200000000-220000000000
χ282222-2-2-2-2-222-22-200200-2-222000000002-20000000000
χ2922-2-22-20022-2-2002i−2i02i−2i000002-2000000000002i−2i0000
χ3022-2-22-20022-2-2002i−2i02i−2i00000-2200000000000−2i2i0000
χ3122-2-22-20022-2-200−2i2i0−2i2i000002-200000000000−2i2i0000
χ3222-2-22-20022-2-200−2i2i0−2i2i00000-22000000000002i−2i0000
χ3322-2-2-22002-22-2002i−2i0−2i2i000000002i−2i2-2000000000000
χ3422-2-2-22002-22-2002i−2i0−2i2i00000000−2i2i-22000000000000
χ3522-2-2-22002-22-200−2i2i02i−2i000000002i−2i-22000000000000
χ3622-2-2-22002-22-200−2i2i02i−2i00000000−2i2i2-2000000000000
χ3744-4-44-400-4-4440000000000000000000000000000000
χ3844-4-4-4400-44-440000000000000000000000000000000
χ394-4-44004-40000000000022−2222−2200000000000000000000
χ404-4-44004-400000000000−2222−222200000000000000000000
χ414-4-4400-440000000000022−22−222200000000000000000000
χ424-4-4400-4400000000000−222222−2200000000000000000000
χ438-88-8000000000000000000000000000000000000000

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