Finite Group Databasebeta

← Group #10679

Character table — Group #10679

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444488888888888888888888888844444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ92222222222-2-2-2-222-2-2-2-200000000000000002222-2-2-2-200000000
χ102222222222-2-2-2-222-2-2-2-20000000000000000-2-2-2-2222200000000
χ1122222222-2-222-2-2-2-222-2-22222-2-2-2-2000000000000000000000000
χ1222222222-2-222-2-2-2-222-2-2-2-2-2-22222000000000000000000000000
χ1322222222-2-2-2-222-2-2-2-222000000002222-2-2-2-20000000000000000
χ1422222222-2-2-2-222-2-2-2-22200000000-2-2-2-222220000000000000000
χ152222-2-2-2-2002-200002-200000022-2-222−2−222−2−222−2−222−2−200000000
χ162222-2-2-2-2002-200002-200000022-2-2−2−222−2−222−2−222−2−22200000000
χ172222-2-2-2-2002-200002-2000000-2-22222−2−222−2−2−2−222−2−22200000000
χ182222-2-2-2-2002-200002-2000000-2-222−2−222−2−22222−2−222−2−200000000
χ192222-2-2-2-200-220000-220022-2-2000022−2−2−2−22222−2−2−2−22200000000
χ202222-2-2-2-200-220000-220022-2-20000−2−22222−2−2−2−22222−2−200000000
χ212222-2-2-2-200-220000-2200-2-222000022−2−2−2−222−2−22222−2−200000000
χ222222-2-2-2-200-220000-2200-2-2220000−2−22222−2−222−2−2−2−22200000000
χ2322-2-22-2-222-200002-200002−22−22−22−2i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i00000000
χ2422-2-22-2-222-200002-200002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i00000000
χ2522-2-22-2-222-200002-20000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i00000000
χ2622-2-22-2-222-200002-20000−22−22−22−22−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i00000000
χ2722-2-22-2-22-220000-2200002−22−2−22−22i2−i2i2−i2−i2i2−i2i22i−2i2i−2i000000000000
χ2822-2-22-2-22-220000-2200002−22−2−22−22−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i000000000000
χ2922-2-22-2-22-220000-220000−22−222−22−2i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i000000000000
χ3022-2-22-2-22-220000-220000−22−222−22−2−i2i2−i2i2i2−i2i2−i22i−2i2i−2i000000000000
χ3122-2-2-222-200002-200002-22−2−222−2−2200002i−2i−2i2ii2−i2−i2i2i2−i2−i2i200000000
χ3222-2-2-222-200002-200002-22−2−222−2−220000−2i2i2i−2i−i2i2i2−i2−i2i2i2−i200000000
χ3322-2-2-222-200002-200002-2−222−2−222−200002i−2i−2i2i−i2i2i2−i2−i2i2i2−i200000000
χ3422-2-2-222-200002-200002-2−222−2−222−20000−2i2i2i−2ii2−i2−i2i2i2−i2−i2i200000000
χ3522-2-2-222-20000-220000-222−2−22−222−22i−2i−2i2i0000i2−i2−i2i2−i2i2i2−i200000000
χ3622-2-2-222-20000-220000-222−2−22−222−2−2i2i2i−2i0000−i2i2i2−i2i2−i2−i2i200000000
χ3722-2-2-222-20000-220000-22−222−22−2−222i−2i−2i2i0000−i2i2i2−i2i2−i2−i2i200000000
χ3822-2-2-222-20000-220000-22−222−22−2−22−2i2i2i−2i0000i2−i2−i2i2−i2i2i2−i200000000
χ392-2-222-22-2222222-2-2-2-2-2-2000000000000000000000000002-20000
χ402-2-222-22-2222222-2-2-2-2-2-200000000000000000000000000-220000
χ412-2-222-22-222-2-2-2-2-2-2222200000000000000000000000000002i−2i00
χ422-2-222-22-222-2-2-2-2-2-222220000000000000000000000000000−2i2i00
χ432-2-222-22-2-2-222-2-222-2-2220000000000000000000000002i−2i000000
χ442-2-222-22-2-2-222-2-222-2-222000000000000000000000000−2i2i000000
χ452-2-222-22-2-2-2-2-2222222-2-20000000000000000000000000000002i−2i
χ462-2-222-22-2-2-2-2-2222222-2-2000000000000000000000000000000−2i2i
χ474-44-444-4-44-40000-44000000000000000000000000000000000000
χ484-44-444-4-4-4400004-4000000000000000000000000000000000000
χ494-44-4-4-44400004-40000-4400000000000000000000000000000000
χ504-44-4-4-4440000-4400004-400000000000000000000000000000000
χ514-4-44-44-44004-40000-440000000000000000000000000000000000
χ524-4-44-44-4400-4400004-40000000000000000000000000000000000

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