Finite Group Databasebeta

← Group #28837

Character table — Group #28837

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888444444444488884444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-111
χ51111111111111111-1-1-1-11111-1-1-1-1-111-111111111-1-1-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-111-1-111
χ81111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ9111111111111-1-1-1-1111111111111-111-1-1-1-1-111-1-1-1-11-11-1
χ10111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-11-11
χ11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-111111-1-11
χ12111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-11-11
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1111-11-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-11111-1-11-1-11
χ1722222222-2-2-2-222-2-222-2-200000000200-200000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000-200200000000000000
χ1922222222-2-2-2-2-2-22222-2-200000000-200200000000000000
χ2022222222-2-2-2-2-2-222-2-22200000000200-200000000000000
χ212222-2-2-2-22-2-222-22-20000000022-2-20000000000002-20000
χ222222-2-2-2-22-2-222-22-200000000-2-222000000000000-220000
χ232222-2-2-2-22-2-22-22-220000000022-2-2000000000000-220000
χ242222-2-2-2-22-2-22-22-2200000000-2-2220000000000002-20000
χ252222-2-2-2-2-222-22-2-22000022-2-2000000000000002-2000000
χ262222-2-2-2-2-222-22-2-220000-2-22200000000000000-22000000
χ272222-2-2-2-2-222-2-222-2000022-2-200000000000000-22000000
χ282222-2-2-2-2-222-2-222-20000-2-222000000000000002-2000000
χ2922-2-22-22-2-22-22000000002-22-2000002i−2i000002i−2i00000000
χ3022-2-22-22-2-22-22000000002-22-200000−2i2i00000−2i2i00000000
χ3122-2-22-22-2-22-2200000000-22-22000002i−2i00000−2i2i00000000
χ3222-2-22-22-2-22-2200000000-22-2200000−2i2i000002i−2i00000000
χ3322-2-2-22-2222-2-2000000002-2-22000000002i−2i2i−2i0000000000
χ3422-2-2-22-2222-2-2000000002-2-2200000000−2i2i−2i2i0000000000
χ3522-2-2-22-2222-2-200000000-222-2000000002i−2i−2i2i0000000000
χ3622-2-2-22-2222-2-200000000-222-200000000−2i2i2i−2i0000000000
χ3744-4-44-44-44-44-40000000000000000000000000000000000
χ3844-4-4-44-44-4-4440000000000000000000000000000000000
χ394-44-444-4-4000000004-40000000000000000000000000000
χ404-44-444-4-400000000-440000000000000000000000000000
χ414-44-4-4-44400000000004-400000000000000000000000000
χ424-44-4-4-4440000000000-4400000000000000000000000000
χ434-4-444-4-4400000000000000002i2−2i22i2−2i2000000000000000000
χ444-4-444-4-440000000000000000−2i22i2−2i22i2000000000000000000
χ454-4-44-444-400000000000000002i2−2i2−2i22i2000000000000000000
χ464-4-44-444-40000000000000000−2i22i22i2−2i2000000000000000000

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