Finite Group Databasebeta

← Group #9323

Character table — Group #9323

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1111222222224444444444444444444444444448888161616161616
order1222224444442222444444444444444444444448888448888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ6111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ8111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ91111-1-1-1-111-1-111-1-11-1111-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i1-1i−i1-1
χ101111-1-1-1-111-1-111-1-11-1111-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii-11−ii-11
χ111111-1-1-1-111-1-111-1-11-1111-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−i-11i−i-11
χ121111-1-1-1-111-1-111-1-11-1111-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii1-1−ii1-1
χ131111-1-1-1-111-1-1-1-1111-11-1-111ii−i−iii−i−i−i−i−i−iiiiiii−i−i-11−ii1-1
χ141111-1-1-1-111-1-1-1-1111-11-1-111ii−i−iii−i−i−i−i−i−iiiii−i−iii1-1i−i-11
χ151111-1-1-1-111-1-1-1-1111-11-1-111−i−iii−i−iiiiiii−i−i−i−iii−i−i1-1−ii-11
χ161111-1-1-1-111-1-1-1-1111-11-1-111−i−iii−i−iiiiiii−i−i−i−i−i−iii-11i−i1-1
χ1722222222-2-2-2-200002-2-200000000000022-2-222-2-20000000000
χ1822222222-2-2-2-200002-2-2000000000000-2-222-2-2220000000000
χ19222222-2-222-2-22222-22-2-2-2-2-200000000000000000000000000
χ20222222-2-222-2-2-2-2-2-2-22-2222200000000000000000000000000
χ21222222-2-2-2-2220000-2-2200002222-2-2-2-2000000000000000000
χ22222222-2-2-2-2220000-2-220000-2-2-2-22222000000000000000000
χ232222-2-222222222-2-2-2-2-2-2-22200000000000000000000000000
χ242222-2-2222222-2-222-2-2-222-2-200000000000000000000000000
χ252222-2-222-2-2-2-20000-22200002i2i−2i−2i−2i−2i2i2i000000000000000000
χ262222-2-222-2-2-2-20000-2220000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ272222-2-2-2-2-2-222000022-20000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ282222-2-2-2-2-2-222000022-2000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ292-22-2002i−2i2-22i−2i002-20002i−2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ302-22-2002i−2i2-22i−2i002-20002i−2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ312-22-2002i−2i2-22i−2i00-22000−2i2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ322-22-2002i−2i2-22i−2i00-22000−2i2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ332-22-2002i−2i-22−2i2i2-200000002i−2i1−i−1+i1+i−1−i−1+i1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000
χ342-22-2002i−2i-22−2i2i2-200000002i−2i−1+i1−i−1−i1+i1−i−1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000
χ352-22-2002i−2i-22−2i2i-220000000−2i2i1−i−1+i1+i−1−i−1+i1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000
χ362-22-2002i−2i-22−2i2i-220000000−2i2i−1+i1−i−1−i1+i1−i−1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000
χ372-22-200−2i2i2-2−2i2i002-2000−2i2i001−i−1+i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ382-22-200−2i2i2-2−2i2i002-2000−2i2i00−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ392-22-200−2i2i2-2−2i2i00-220002i−2i001−i−1+i1+i−1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ402-22-200−2i2i2-2−2i2i00-220002i−2i00−1+i1−i−1−i1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ412-22-200−2i2i-222i−2i2-20000000−2i2i1+i−1−i1−i−1+i−1−i1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000
χ422-22-200−2i2i-222i−2i2-20000000−2i2i−1−i1+i−1+i1−i1+i−1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000
χ432-22-200−2i2i-222i−2i-2200000002i−2i1+i−1−i1−i−1+i−1−i1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000
χ442-22-200−2i2i-222i−2i-2200000002i−2i−1−i1+i−1+i1−i1+i−1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000
χ4544-4-44-40000000000000000000000000000000002-22-2000000
χ4644-4-44-4000000000000000000000000000000000-22-22000000
χ4744-4-4-440000000000000000000000000000000002i−2i−2i2i000000
χ4844-4-4-44000000000000000000000000000000000−2i2i2i−2i000000
χ498-8-88000000000000000000000000000000000000000000000

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