Finite Group Databasebeta

← Group #32921

Character table — Group #32921

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1111222222224444444444444444444444444448888161616161616
order1222224444442222444444444444444444444444444228888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ411111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ6111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ8111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ9111111-1-111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-11-11-11
χ11111111-1-1111111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1-111-1-11
χ12111111-1-1111111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1111-1-111-1
χ13111111-1-11111-1-111-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-11-111-1
χ14111111-1-11111-1-111-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1-11
χ15111111-1-11111-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-11-1-11-11
χ16111111-1-11111-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-111-11-1
χ1722222222-2-2-2-2000020000-2-20000000022-2-222-2-20000000000
χ1822222222-2-2-2-2000020000-2-200000000-2-222-2-2220000000000
χ19222222-2-2-2-2-2-20000-20000220000000022-2-2-2-2220000000000
χ20222222-2-2-2-2-2-20000-200002200000000-2-22222-2-20000000000
χ212222-2-2222-22-20022-200222-20000-2-2-2-2000000000000000000
χ222222-2-2222-22-200-2-2-200-2-22-200002222000000000000000000
χ232222-2-222-22-222200-22200-22-2-2-2-20000000000000000000000
χ242222-2-222-22-22-2-200-2-2-200-2222220000000000000000000000
χ252222-2-2-2-22-22-20022200-2-2-220000-2-222000000000000000000
χ262222-2-2-2-22-22-200-2-220022-22000022-2-2000000000000000000
χ272222-2-2-2-2-22-2222002-2-2002-2-2-2220000000000000000000000
χ282222-2-2-2-2-22-22-2-200222002-222-2-20000000000000000000000
χ292-22-22-2002-2-222-2000002i−2i002-200002i−2i00002i−2i2i−2i0000000000
χ302-22-22-2002-2-222-200000−2i2i002-20000−2i2i0000−2i2i−2i2i0000000000
χ312-22-22-2002-2-22-22000002i−2i00-2200002i−2i0000−2i2i−2i2i0000000000
χ322-22-22-2002-2-22-2200000−2i2i00-220000−2i2i00002i−2i2i−2i0000000000
χ332-22-22-200-222-2002-202i−2i0000002i−2i2-20000002i−2i−2i2i0000000000
χ342-22-22-200-222-2002-20−2i2i000000−2i2i2-2000000−2i2i2i−2i0000000000
χ352-22-22-200-222-200-2202i−2i0000002i−2i-22000000−2i2i2i−2i0000000000
χ362-22-22-200-222-200-220−2i2i000000−2i2i-220000002i−2i−2i2i0000000000
χ372-22-2-220022-2-2000002i−2i2i−2i0000−2i2i00−2i2i2-22-200000000000000
χ382-22-2-220022-2-2000002i−2i−2i2i0000−2i2i002i−2i-22-2200000000000000
χ392-22-2-220022-2-200000−2i2i2i−2i00002i−2i00−2i2i-22-2200000000000000
χ402-22-2-220022-2-200000−2i2i−2i2i00002i−2i002i−2i2-22-200000000000000
χ412-22-2-2200-2-2222-22-20000000-2200-22002-2-2200000000000000
χ422-22-2-2200-2-2222-2-220000000-22002-200-222-200000000000000
χ432-22-2-2200-2-222-222-200000002-200-2200-222-200000000000000
χ442-22-2-2200-2-222-22-2200000002-2002-2002-2-2200000000000000
χ4544-4-4004-400000000000000000000000000000002i−2i2i−2i000000
χ4644-4-4004-40000000000000000000000000000000−2i2i−2i2i000000
χ4744-4-400-4400000000000000000000000000000002i−2i−2i2i000000
χ4844-4-400-440000000000000000000000000000000−2i2i2i−2i000000
χ498-8-88000000000000000000000000000000000000000000000

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