Finite Group Databasebeta

← Group #23708

Character table — Group #23708

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444422444444222244444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ91111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111
χ121111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-111
χ1722222222-2-22222-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ21222-2-22-2-22-22i2i−2i−2i2i2i−2i−2i2-2000000000000002i−2i0000002-200000000
χ22222-2-22-2-22-22i2i−2i−2i2i2i−2i−2i2-200000000000000−2i2i000000-2200000000
χ23222-2-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-2000000000000002i−2i000000-2200000000
χ24222-2-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-200000000000000−2i2i0000002-200000000
χ25222-2-22-2-2-222i2i−2i−2i−2i−2i2i2i-2200000000002-2000000002i−2i0000000000
χ26222-2-22-2-2-222i2i−2i−2i−2i−2i2i2i-220000000000-2200000000−2i2i0000000000
χ27222-2-22-2-2-22−2i−2i2i2i2i2i−2i−2i-2200000000002-200000000−2i2i0000000000
χ28222-2-22-2-2-22−2i−2i2i2i2i2i−2i−2i-220000000000-22000000002i−2i0000000000
χ292-2222-2-2-22-22i−2i2i−2i2i−2i2i−2i-22000000002-20000002i−2i00000000000000
χ302-2222-2-2-22-22i−2i2i−2i2i−2i2i−2i-2200000000-22000000−2i2i00000000000000
χ312-2222-2-2-22-2−2i2i−2i2i−2i2i−2i2i-22000000002-2000000−2i2i00000000000000
χ322-2222-2-2-22-2−2i2i−2i2i−2i2i−2i2i-2200000000-220000002i−2i00000000000000
χ332-2222-2-2-2-222i−2i2i−2i−2i2i−2i2i2-20000000000002-200002i−2i000000000000
χ342-2222-2-2-2-222i−2i2i−2i−2i2i−2i2i2-2000000000000-220000−2i2i000000000000
χ352-2222-2-2-2-22−2i2i−2i2i2i−2i2i−2i2-20000000000002-20000−2i2i000000000000
χ362-2222-2-2-2-22−2i2i−2i2i2i−2i2i−2i2-2000000000000-2200002i−2i000000000000
χ372-22-2-2-222222-2-222-2-22-2-200000000000000000000000000002i−2i2i−2i
χ382-22-2-2-222222-2-222-2-22-2-20000000000000000000000000000−2i2i−2i2i
χ392-22-2-2-22222-222-2-222-2-2-200000000000000000000000000002i−2i−2i2i
χ402-22-2-2-22222-222-2-222-2-2-20000000000000000000000000000−2i2i2i−2i
χ412-22-2-2-222-2-22-2-22-222-2220000000000000000000000002-22-20000
χ422-22-2-2-222-2-22-2-22-222-222000000000000000000000000-22-220000
χ432-22-2-2-222-2-2-222-22-2-22220000000000000000000000002-2-220000
χ442-22-2-2-222-2-2-222-22-2-2222000000000000000000000000-222-20000
χ4544-44-4-44-40000000000000000004i−4i000000000000000000000000
χ4644-44-4-44-4000000000000000000−4i4i000000000000000000000000
χ4744-4-44-4-44000000000000004i−4i0000000000000000000000000000
χ4844-4-44-4-4400000000000000−4i4i0000000000000000000000000000
χ494-4-44-44-440000000000004-4000000000000000000000000000000
χ504-4-44-44-44000000000000-44000000000000000000000000000000
χ514-4-4-4444-400000000000000004-400000000000000000000000000
χ524-4-4-4444-40000000000000000-4400000000000000000000000000

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