Finite Group Databasebeta

← Group #19239

Character table — Group #19239

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444444448888888844448888888888882444
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111
χ8111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ91111-1-1-1-111111-1-111-1-1111111-1-1111-1-1-1-1-111-1-11-11-1
χ101111-1-1-1-111111-1-111-1-1111111-1-1-1-11-1-1-111-1-111-11-11
χ111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-1-11-11
χ121111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111-1-11-11111-1-1111-11-1
χ131111-1-1-1-111111-1-1-1-1111111-1-11111-11-1-1-1-1-1-1111-1-11
χ141111-1-1-1-111111-1-1-1-1111111-1-111-1-1-11-1-11111-1-1-111-1
χ151111-1-1-1-111111-1-1-1-111-1-1-1-111-1-111-1111-1-1-1-111-111-1
χ161111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-11111111-1-11-1-11
χ1722222222-22-22-2-2-222220000000000-2-2000000000000
χ1822222222-22-22-2-2-2-2-2-2-2000000000022000000000000
χ19222222-2-22-22-2-22-2000000002-22-20000000000000000
χ20222222-2-22-22-2-22-200000000-22-220000000000000000
χ21222222-2-2-2-2-2-22-2200002i2i−2i−2i000000002i−2i0000000000
χ22222222-2-2-2-2-2-22-220000−2i−2i2i2i00000000−2i2i0000000000
χ232222-2-2222-22-2-2-22000000002-2-220000000000000000
χ242222-2-2222-22-2-2-2200000000-222-20000000000000000
χ252222-2-222-2-2-2-222-200002i2i−2i−2i00000000−2i2i0000000000
χ262222-2-222-2-2-2-222-20000−2i−2i2i2i000000002i−2i0000000000
χ272222-2-2-2-2-22-22-22222-2-20000000000-22000000000000
χ282222-2-2-2-2-22-22-222-2-22200000000002-2000000000000
χ292-2-222-22-2020-20002-22-200000000i2−i20000i2−i2i2−i2i2−i20000
χ302-2-222-22-2020-20002-22-200000000−i2i20000−i2i2−i2i2−i2i20000
χ312-2-222-22-2020-2000-22-2200000000i2−i20000i2−i2−i2i2−i2i20000
χ322-2-222-22-2020-2000-22-2200000000−i2i20000−i2i2i2−i2i2−i20000
χ332-2-22-22-22020-20002-2-2200000000i2−i20000−i2i2i2−i2−i2i20000
χ342-2-22-22-22020-20002-2-2200000000−i2i20000i2−i2−i2i2i2−i20000
χ352-2-22-22-22020-2000-222-200000000i2−i20000−i2i2−i2i2i2−i20000
χ362-2-22-22-22020-2000-222-200000000−i2i20000i2−i2i2−i2−i2i20000
χ3744-4-4000040-40000000022−2222−2200000000000000000000
χ3844-4-4000040-400000000−2222−222200000000000000000000
χ3944-4-40000-404000000002i2−2i2−2i22i200000000000000000000
χ4044-4-40000-40400000000−2i22i22i2−2i200000000000000000000
χ414-4-444-4-440-4040000000000000000000000000000000
χ424-4-44-444-40-4040000000000000000000000000000000
χ438-88-8000000000000000000000000000000000000000

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