Finite Group Databasebeta

← Group #29242

Character table — Group #29242

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444422444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ91111111111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ121111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1722222222-2-222222222-2-2-2-2-2-2-2-222000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-22222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-22222-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000
χ21222-22-2-2-22222-2-20000-2-22-2000000002-200002-200000000000000
χ22222-22-2-2-22222-2-20000-2-22-200000000-220000-2200000000000000
χ23222-22-2-2-222-2-2220000-2-2-22000000002-20000-2200000000000000
χ24222-22-2-2-222-2-2220000-2-2-2200000000-2200002-200000000000000
χ25222-22-2-2-2-2-222-2-2000022-2200000000000000002i−2i002i−2i00000000
χ26222-22-2-2-2-2-222-2-2000022-220000000000000000−2i2i00−2i2i00000000
χ27222-22-2-2-2-2-2-2-2220000222-200000000000000002i−2i00−2i2i00000000
χ28222-22-2-2-2-2-2-2-2220000222-20000000000000000−2i2i002i−2i00000000
χ292-222-2-2-22002i−2i2i−2i2i2i−2i−2i000000002-200000000000000002−2i2−i2i2−i22−2
χ302-222-2-2-22002i−2i2i−2i2i2i−2i−2i000000002-20000000000000000−22−i2i2−i2i2−22
χ312-222-2-2-22002i−2i2i−2i−2i−2i2i2i00000000-2200000000000000002−2i2−i2−i2i2−22
χ322-222-2-2-22002i−2i2i−2i−2i−2i2i2i00000000-220000000000000000−22−i2i2i2−i22−2
χ332-222-2-2-2200−2i2i−2i2i2i2i−2i−2i00000000-2200000000000000002−2−i2i2i2−i2−22
χ342-222-2-2-2200−2i2i−2i2i2i2i−2i−2i00000000-220000000000000000−22i2−i2−i2i22−2
χ352-222-2-2-2200−2i2i−2i2i−2i−2i2i2i000000002-200000000000000002−2−i2i2−i2i22−2
χ362-222-2-2-2200−2i2i−2i2i−2i−2i2i2i000000002-20000000000000000−22i2−i2i2−i2−22
χ372-2-2222-2-22-200002i−2i2i−2i2-200002i−2i0000002-20000002i−2i0000000000
χ382-2-2222-2-22-200002i−2i2i−2i2-200002i−2i000000-22000000−2i2i0000000000
χ392-2-2222-2-22-20000−2i2i−2i2i2-20000−2i2i0000002-2000000−2i2i0000000000
χ402-2-2222-2-22-20000−2i2i−2i2i2-20000−2i2i000000-220000002i−2i0000000000
χ412-2-2222-2-2-2200002i−2i2i−2i-220000−2i2i002-200002i−2i0000000000000000
χ422-2-2222-2-2-2200002i−2i2i−2i-220000−2i2i00-220000−2i2i0000000000000000
χ432-2-2222-2-2-220000−2i2i−2i2i-2200002i−2i002-20000−2i2i0000000000000000
χ442-2-2222-2-2-220000−2i2i−2i2i-2200002i−2i00-2200002i−2i0000000000000000
χ4544-44-4-44-40000004-4-440000000000000000000000000000000000
χ4644-44-4-44-4000000-444-40000000000000000000000000000000000
χ4744-4-4-44-44000000000000004i−4i0000000000000000000000000000
χ4844-4-4-44-4400000000000000−4i4i0000000000000000000000000000
χ494-44-4-444-4004i−4i−4i4i00000000000000000000000000000000000000
χ504-44-4-444-400−4i4i4i−4i00000000000000000000000000000000000000
χ514-4-4-44-4444-400000000-4400000000000000000000000000000000
χ524-4-4-44-444-44000000004-400000000000000000000000000000000

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