Finite Group Databasebeta

← Group #23707

Character table — Group #23707

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444488888888222444444444444444448888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ41111111111111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111
χ91111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-111-1-1-1-111-1-11-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-111-1-111-1-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-111-1-11111-1-1111-1-111-1-1
χ121111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111-1-111-1-111-111-1-111
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-1-1-1111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-11111-1-11111-1-11-1-1-1-111
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-11111-1-1
χ1722222222-2-22222-2-2-2-2-2-20000000000200000000000000-22-20000
χ1822222222-2-22222-2-2-2-2-2-20000000000-2000000000000002-220000
χ1922222222-2-2-2-2-2-22222-2-20000000000200000000000000-2-220000
χ2022222222-2-2-2-2-2-22222-2-20000000000-20000000000000022-20000
χ21222-2-22-2-22-22i2i−2i−2i2i2i−2i−2i2-20000000000000000000002-22i−2i0000000
χ22222-2-22-2-22-22i2i−2i−2i2i2i−2i−2i2-2000000000000000000000-22−2i2i0000000
χ23222-2-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-20000000000000000000002-2−2i2i0000000
χ24222-2-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-2000000000000000000000-222i−2i0000000
χ25222-2-22-2-2-222i2i−2i−2i−2i−2i2i2i-220000000000000002-22i−2i0000000000000
χ26222-2-22-2-2-222i2i−2i−2i−2i−2i2i2i-22000000000000000-22−2i2i0000000000000
χ27222-2-22-2-2-22−2i−2i2i2i2i2i−2i−2i-220000000000000002-2−2i2i0000000000000
χ28222-2-22-2-2-22−2i−2i2i2i2i2i−2i−2i-22000000000000000-222i−2i0000000000000
χ292-2-2222-2-22-22i−2i2i−2i2i−2i2i−2i-22000000000002-22i−2i00000000000000000
χ302-2-2222-2-22-22i−2i2i−2i2i−2i2i−2i-2200000000000-22−2i2i00000000000000000
χ312-2-2222-2-22-2−2i2i−2i2i−2i2i−2i2i-22000000000002-2−2i2i00000000000000000
χ322-2-2222-2-22-2−2i2i−2i2i−2i2i−2i2i-2200000000000-222i−2i00000000000000000
χ332-2-2222-2-2-222i−2i2i−2i−2i2i−2i2i2-2000000002-20000000002i−2i00000000000
χ342-2-2222-2-2-222i−2i2i−2i−2i2i−2i2i2-200000000-22000000000−2i2i00000000000
χ352-2-2222-2-2-22−2i2i−2i2i2i−2i2i−2i2-2000000002-2000000000−2i2i00000000000
χ362-2-2222-2-2-22−2i2i−2i2i2i−2i2i−2i2-200000000-220000000002i−2i00000000000
χ372-2-2-2-2222222-2-222-2-22-2-200000000000000000000000000002i−2i2i−2i
χ382-2-2-2-2222222-2-222-2-22-2-20000000000000000000000000000−2i2i−2i2i
χ392-2-2-2-222222-222-2-222-2-2-200000000000000000000000000002i−2i−2i2i
χ402-2-2-2-222222-222-2-222-2-2-20000000000000000000000000000−2i2i2i−2i
χ412-2-2-2-2222-2-22-2-22-222-22222-2-222-2-2000000000000000000000000
χ422-2-2-2-2222-2-22-2-22-222-222-2-222-2-222000000000000000000000000
χ432-2-2-2-2222-2-2-222-22-2-222222-2-2-2-222000000000000000000000000
χ442-2-2-2-2222-2-2-222-22-2-2222-2-22222-2-2000000000000000000000000
χ4544-44-4-44-400000000000000002i2−2i22i2−2i2000000000000000000000000
χ4644-44-4-44-40000000000000000−2i22i2−2i22i2000000000000000000000000
χ4744-4-44-4-440000000000002i2−2i22i2−2i20000000000000000000000000000
χ4844-4-44-4-44000000000000−2i22i2−2i22i20000000000000000000000000000
χ494-444-4-4-440000000000002i2−2i2−2i22i20000000000000000000000000000
χ504-444-4-4-44000000000000−2i22i22i2−2i20000000000000000000000000000
χ514-44-44-44-400000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-44-44-44-40000000000000000−2i22i22i2−2i2000000000000000000000000

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