Finite Group Databasebeta

← Group #33115

Character table — Group #33115

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size11111111222244444444444444444444444444448888888816161616
order1222222244442244444444444444444444444444888888882444
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1
χ611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11
χ711111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11-11
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11-1
χ9111111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ12111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ13111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111-1
χ15111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-11
χ1722222222-2-2-2-22222-2-222-2-20000-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-222-2-2220000-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-222-2-2-2-222000022000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-22222-2-2000022000000000000000000000000
χ2122-2-2-222-22-22-20000002i−2i2i−2i00000022-2-200002i2i−2i−2i000000000000
χ2222-2-2-222-22-22-20000002i−2i2i−2i000000-2-2220000−2i−2i2i2i000000000000
χ2322-2-2-222-22-22-2000000−2i2i−2i2i00000022-2-20000−2i−2i2i2i000000000000
χ2422-2-2-222-22-22-2000000−2i2i−2i2i000000-2-22200002i2i−2i−2i000000000000
χ2522-2-2-222-2-22-220000002i−2i−2i2i2i2i−2i−2i00000022-2-20000000000000000
χ2622-2-2-222-2-22-220000002i−2i−2i2i−2i−2i2i2i000000-2-2220000000000000000
χ2722-2-2-222-2-22-22000000−2i2i2i−2i2i2i−2i−2i000000-2-2220000000000000000
χ2822-2-2-222-2-22-22000000−2i2i2i−2i−2i−2i2i2i00000022-2-20000000000000000
χ292-222-22-2-22-2-22002-22-200002i−2i2i−2i002i−2i2i−2i00000000000000000000
χ302-222-22-2-22-2-22002-22-20000−2i2i−2i2i00−2i2i−2i2i00000000000000000000
χ312-222-22-2-22-2-2200-22-2200002i−2i2i−2i00−2i2i−2i2i00000000000000000000
χ322-222-22-2-22-2-2200-22-220000−2i2i−2i2i002i−2i2i−2i00000000000000000000
χ332-222-22-2-2-222-2002-2-22000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ342-222-22-2-2-222-2002-2-2200000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ352-222-22-2-2-222-200-222-2000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ362-222-22-2-2-222-200-222-200000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ372-2-2-222-2222-2-22-20000000000002-22i−2i−2i2i2i−2i−2i2i0000000000000000
χ382-2-2-222-2222-2-22-20000000000002-2−2i2i2i−2i−2i2i2i−2i0000000000000000
χ392-2-2-222-2222-2-2-22000000000000-222i−2i−2i2i−2i2i2i−2i0000000000000000
χ402-2-2-222-2222-2-2-22000000000000-22−2i2i2i−2i2i−2i−2i2i0000000000000000
χ412-2-2-222-22-2-2222-2000000002-2-22-22000000002-2-22000000000000
χ422-2-2-222-22-2-2222-200000000-222-2-2200000000-222-2000000000000
χ432-2-2-222-22-2-222-22000000002-2-222-200000000-222-2000000000000
χ442-2-2-222-22-2-222-2200000000-222-22-2000000002-2-22000000000000
χ45444-44-4-4-40000000000000000000000000000000022−220000000000
χ46444-44-4-4-400000000000000000000000000000000−22220000000000
χ4744-44-4-4-44000000000000000000000000000000000000002i2−2i20000
χ4844-44-4-4-4400000000000000000000000000000000000000−2i22i20000
χ494-44-4-4-44400000000000000000000000000000000000022−22000000
χ504-44-4-4-444000000000000000000000000000000000000−2222000000
χ514-4-444-44-400000000000000000000000000000000002i2−2i200000000
χ524-4-444-44-40000000000000000000000000000000000−2i22i200000000

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