Finite Group Databasebeta

← Group #19214

Character table — Group #19214

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order1222224444444488884488888844448888888888882244
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
χ91111-1-1-1-1-1-1111111111-1-1-111-1-11-11-111-1-111-1-111-1-11-11-1
χ101111-1-1-1-1-1-1111111111-1-1-111-1-11-11-1-1-111-1-11111-1-1-11-11
χ111111-1-1-1-1-1-1111111111-1-1-111-1-1-11-1111-1-111-1-1-1-111-11-11
χ121111-1-1-1-1-1-1111111111-1-1-111-1-1-11-11-1-111-1-111-1-1111-11-1
χ131111-1-1-1-1-1-11111-1-1-1-11-111-1-1111-11-111-1-1-1-111-1-1111-1-11
χ141111-1-1-1-1-1-11111-1-1-1-11-111-1-1111-11-1-1-11111-1-1-1-111-111-1
χ151111-1-1-1-1-1-11111-1-1-1-11-111-1-111-11-1111-1-1-1-11111-1-1-111-1
χ161111-1-1-1-1-1-11111-1-1-1-11-111-1-111-11-11-1-11111-1-111-1-11-1-11
χ1722222222-2-22-2-222222-2-222-2-2-2-200000000000000000000
χ1822222222-2-22-2-22-2-2-2-2-2-2-2-2222200000000000000000000
χ19222222-2-222-2-2-2-200002-20000000000000000002i−2i2i−2i0000
χ20222222-2-222-2-2-2-200002-2000000000000000000−2i2i−2i2i0000
χ21222222-2-2-2-2-222-20000-220000002-2-220000000000000000
χ22222222-2-2-2-2-222-20000-22000000-222-20000000000000000
χ232222-2-22222-222-20000-2-200000022-2-20000000000000000
χ242222-2-22222-222-20000-2-2000000-2-2220000000000000000
χ252222-2-222-2-2-2-2-2-20000220000000000000000002i−2i−2i2i0000
χ262222-2-222-2-2-2-2-2-2000022000000000000000000−2i2i2i−2i0000
χ272222-2-2-2-2222-2-222222-22-2-2-2-22200000000000000000000
χ282222-2-2-2-2222-2-22-2-2-2-2-222222-2-200000000000000000000
χ2922-2-22-22-200-20022i2i−2i−2i002i−2i00000000i2−i2i2−i22−22−200000000
χ3022-2-22-22-200-20022i2i−2i−2i002i−2i00000000−i2i2−i2i2−22−2200000000
χ3122-2-22-22-200-2002−2i−2i2i2i00−2i2i00000000i2−i2i2−i2−22−2200000000
χ3222-2-22-22-200-2002−2i−2i2i2i00−2i2i00000000−i2i2−i2i22−22−200000000
χ3322-2-2-22-2200-20022i2i−2i−2i00−2i2i00000000i2−i2−i2i22−2−2200000000
χ3422-2-2-22-2200-20022i2i−2i−2i00−2i2i00000000−i2i2i2−i2−222−200000000
χ3522-2-2-22-2200-2002−2i−2i2i2i002i−2i00000000i2−i2−i2i2−222−200000000
χ3622-2-2-22-2200-2002−2i−2i2i2i002i−2i00000000−i2i2i2−i22−2−2200000000
χ3744-4-44-4-4400400-400000000000000000000000000000000
χ3844-4-4-444-400400-400000000000000000000000000000000
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
χ434-4-4400000004-4022−22−2222000022−220000000000000000000000
χ444-4-4400000004-40−222222−220000−22220000000000000000000000
χ454-4-440000000-44022−22−22220000−22220000000000000000000000
χ464-4-440000000-440−222222−22000022−220000000000000000000000

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