Finite Group Databasebeta

← Group #16630

Character table — Group #16630

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111111111111444444444444888888888888888888888888
order1222222222222222444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-111-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111111
χ172222222-2-2-2-2-2-2-22-20000000022-2-20000000000002-22-200000000
χ182222222-2-2-2-2-2-2-22-20000000022-2-2000000000000-22-2200000000
χ192222222-2-2-2-2-2-2-22-200000000-2-2220000000000002-2-2200000000
χ202222222-2-2-2-2-2-2-22-200000000-2-222000000000000-222-200000000
χ212222-2-2-2222-22-2-2-2-2000022-2-20000002-200002-200000000000000
χ222222-2-2-2222-22-2-2-2-2000022-2-2000000-220000-2200000000000000
χ232222-2-2-2222-22-2-2-2-20000-2-2220000002-20000-2200000000000000
χ242222-2-2-2222-22-2-2-2-20000-2-222000000-2200002-200000000000000
χ2522-2-222-222-22-22-2-2-222-2-2000000002-2002-2000000000000000000
χ2622-2-222-222-22-22-2-2-222-2-200000000-2200-22000000000000000000
χ2722-2-222-222-22-22-2-2-2-2-222000000002-200-22000000000000000000
χ2822-2-222-222-22-22-2-2-2-2-22200000000-22002-2000000000000000000
χ292-22-22-222-22-2-22-2-2200002i−2i2i−2i000000000000002i−2i0000002-20000
χ302-22-22-222-22-2-22-2-2200002i−2i2i−2i00000000000000−2i2i000000-220000
χ312-22-22-222-22-2-22-2-220000−2i2i−2i2i000000000000002i−2i000000-220000
χ322-22-22-222-22-2-22-2-220000−2i2i−2i2i00000000000000−2i2i0000002-20000
χ332-22-2-22-22-222-2-222-22i−2i2i−2i2i−2i−2i2i2-22-2000000000000000000000000
χ342-22-2-22-22-222-2-222-22i−2i2i−2i−2i2i2i−2i-22-22000000000000000000000000
χ352-22-2-22-22-222-2-222-2−2i2i−2i2i2i−2i−2i2i-22-22000000000000000000000000
χ362-22-2-22-22-222-2-222-2−2i2i−2i2i−2i2i2i−2i2-22-2000000000000000000000000
χ372-22-2-22-2-22-2-222-222000000002-2-22000000000000000000002-22-2
χ382-22-2-22-2-22-2-222-222000000002-2-2200000000000000000000-22-22
χ392-22-2-22-2-22-2-222-22200000000-222-2000000000000000000002-2-22
χ402-22-2-22-2-22-2-222-22200000000-222-200000000000000000000-222-2
χ412-2-22-2222-2-222-2-2-222i−2i−2i2i000000000000002i−2i000000002-2000000
χ422-2-22-2222-2-222-2-2-222i−2i−2i2i00000000000000−2i2i00000000-22000000
χ432-2-22-2222-2-222-2-2-22−2i2i2i−2i000000000000002i−2i00000000-22000000
χ442-2-22-2222-2-222-2-2-22−2i2i2i−2i00000000000000−2i2i000000002-2000000
χ454444-4-4-4-4-4-44-444-44000000000000000000000000000000000000
χ4644-4-444-4-4-44-44-44-44000000000000000000000000000000000000
χ4744-4-4-4-4444-4-4-4-4444000000000000000000000000000000000000
χ4844-4-4-4-44-4-44444-44-4000000000000000000000000000000000000
χ494-44-44-44-44-444-44-4-4000000000000000000000000000000000000
χ504-4-444-4-44-4-4-44444-4000000000000000000000000000000000000
χ514-4-444-4-4-4444-4-4-444000000000000000000000000000000000000
χ524-4-44-444-444-4-444-4-4000000000000000000000000000000000000

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