Finite Group Databasebeta

← Group #28165

Character table — Group #28165

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222244444444444422222222444444444488888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1
χ10111111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111
χ11111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ12111111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111
χ1722222222-2-2-2-222-2-222-2-2000000002-20000000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000-220000000000000000
χ1922222222-2-2-2-2-2-22222-2-200000000-220000000000000000
χ2022222222-2-2-2-2-2-222-2-222000000002-20000000000000000
χ212222-2-2-2-22-22-200002i−2i2i−2i0000002-20000002i−2i0000000000
χ222222-2-2-2-22-22-200002i−2i2i−2i000000-22000000−2i2i0000000000
χ232222-2-2-2-22-22-20000−2i2i−2i2i0000002-2000000−2i2i0000000000
χ242222-2-2-2-22-22-20000−2i2i−2i2i000000-220000002i−2i0000000000
χ252222-2-2-2-2-22-2200002i−2i−2i2i00002-200000000002i−2i00000000
χ262222-2-2-2-2-22-2200002i−2i−2i2i0000-220000000000−2i2i00000000
χ272222-2-2-2-2-22-220000−2i2i2i−2i00002-20000000000−2i2i00000000
χ282222-2-2-2-2-22-220000−2i2i2i−2i0000-2200000000002i−2i00000000
χ2922-2-222-2-222-2-22-22-2000000000000002i−2i2i−2i000000000000
χ3022-2-222-2-222-2-22-22-200000000000000−2i2i−2i2i000000000000
χ3122-2-222-2-222-2-2-22-22000000000000002i−2i−2i2i000000000000
χ3222-2-222-2-222-2-2-22-2200000000000000−2i2i2i−2i000000000000
χ3322-2-222-2-2-2-2222-2-2200002-22-20000000000000000000000
χ3422-2-222-2-2-2-2222-2-220000-22-220000000000000000000000
χ3522-2-222-2-2-2-222-222-200002-2-220000000000000000000000
χ3622-2-222-2-2-2-222-222-20000-222-20000000000000000000000
χ3744-4-4-4-4444-4-440000000000000000000000000000000000
χ3844-4-4-4-444-444-40000000000000000000000000000000000
χ394-44-44-44-40000000000000000000000000000000022−220000
χ404-44-44-44-400000000000000000000000000000000−22220000
χ414-44-4-44-4400000000000000000000000000000000000022−22
χ424-44-4-44-44000000000000000000000000000000000000−2222
χ434-4-444-4-4400000000000000000000000000000022−22000000
χ444-4-444-4-44000000000000000000000000000000−2222000000
χ454-4-44-444-4000000000000000000000000000000000022−2200
χ464-4-44-444-40000000000000000000000000000000000−222200

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