Finite Group Databasebeta

← Group #28700

Character table — Group #28700

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order1222224444444488884488888844448888888888884444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111-1-1-1-111111111-1-111-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-11-11
χ11111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-11-11
χ12111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111-1-11
χ14111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-1
χ15111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1
χ16111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11-1-11
χ1722222222-2-2-2-2-2-200002-20000000000000000002i−2i2i−2i0000
χ1822222222-2-2-2-2-2-200002-2000000000000000000−2i2i−2i2i0000
χ19222222-2-222-2-2-2-20000-220000000000000000002i−2i−2i2i0000
χ20222222-2-222-2-2-2-20000-22000000000000000000−2i2i2i−2i0000
χ212222-2-22222-222-20000-2-20000002-22-20000000000000000
χ222222-2-22222-222-20000-2-2000000-22-220000000000000000
χ232222-2-222-2-22-2-222222-22-2-222-2-200000000000000000000
χ242222-2-222-2-22-2-22-2-2-2-2-2222-2-22200000000000000000000
χ252222-2-2-2-2222-2-2222222-2-2-2-2-22200000000000000000000
χ262222-2-2-2-2222-2-22-2-2-2-22-22222-2-200000000000000000000
χ272222-2-2-2-2-2-2-222-20000220000002-2-220000000000000000
χ282222-2-2-2-2-2-2-222-2000022000000-222-20000000000000000
χ2922-2-22-2000022-2-222-2-2002-200000000002-2002-200000000
χ3022-2-22-2000022-2-222-2-2002-20000000000-2200-2200000000
χ3122-2-22-2000022-2-2-2-22200-2200000000002-200-2200000000
χ3222-2-22-2000022-2-2-2-22200-220000000000-22002-200000000
χ3322-2-2-2200002-22-222-2-200-22000000002-2002-20000000000
χ3422-2-2-2200002-22-222-2-200-2200000000-2200-220000000000
χ3522-2-2-2200002-22-2-2-222002-2000000002-200-220000000000
χ3622-2-2-2200002-22-2-2-222002-200000000-22002-20000000000
χ3744-4-44-40000-4-44400000000000000000000000000000000
χ3844-4-4-440000-44-4400000000000000000000000000000000
χ394-44-400004-400002i2−2i22i2−2i20000002i2−2i200000000000000000000
χ404-44-400004-40000−2i22i2−2i22i2000000−2i22i200000000000000000000
χ414-44-40000-4400002i2−2i22i2−2i2000000−2i22i200000000000000000000
χ424-44-40000-440000−2i22i2−2i22i20000002i2−2i200000000000000000000
χ434-4-44004-40000002i2−2i2−2i22i200002i2−2i20000000000000000000000
χ444-4-44004-4000000−2i22i22i2−2i20000−2i22i20000000000000000000000
χ454-4-4400-440000002i2−2i2−2i22i20000−2i22i20000000000000000000000
χ464-4-4400-44000000−2i22i22i2−2i200002i2−2i20000000000000000000000

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