Finite Group Databasebeta

← Group #10312

Character table — Group #10312

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444488888888888888888888888822444444
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
χ92222222222-2-2-2-222-2-2-2-22222-2-2-2-2000000000000000000000000
χ102222222222-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000
χ1122222222-2-222-2-2-2-222-2-200000000000000002222-2-2-2-200000000
χ1222222222-2-222-2-2-2-222-2-20000000000000000-2-2-2-2222200000000
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
χ15222-2-2-22-200002-200002-2i2i2−i2−i2i2i2−i2−i200002i2i−2i−2i22−2−222−2−200000000
χ16222-2-2-22-200002-200002-2i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2i−2−222−2−22200000000
χ17222-2-2-22-200002-200002-2−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i−2−222−2−22200000000
χ18222-2-2-22-200002-200002-2−i2−i2i2i2−i2−i2i2i20000−2i−2i2i2i22−2−222−2−200000000
χ19222-2-2-22-20000-220000-22i2i2−i2−i2−i2−i2i2i22i2i−2i−2i000022−2−2−2−22200000000
χ20222-2-2-22-20000-220000-22i2i2−i2−i2−i2−i2i2i2−2i−2i2i2i0000−2−22222−2−200000000
χ21222-2-2-22-20000-220000-22−i2−i2i2i2i2i2−i2−i22i2i−2i−2i0000−2−22222−2−200000000
χ22222-2-2-22-20000-220000-22−i2−i2i2i2i2i2−i2−i2−2i−2i2i2i000022−2−2−2−22200000000
χ2322-22-2-2-22002-200002-200i2−i2i2−i2i2−i2i2−i22−22−22−22−200002i−2i2i−2i00000000
χ2422-22-2-2-22002-200002-200i2−i2i2−i2i2−i2i2−i2−22−22−22−220000−2i2i−2i2i00000000
χ2522-22-2-2-22002-200002-200−i2i2−i2i2−i2i2−i2i22−22−22−22−20000−2i2i−2i2i00000000
χ2622-22-2-2-22002-200002-200−i2i2−i2i2−i2i2−i2i2−22−22−22−2200002i−2i2i−2i00000000
χ2722-22-2-2-2200-220000-2200i2−i2i2−i2−i2i2−i2i22−22−2−22−222i−2i2i−2i000000000000
χ2822-22-2-2-2200-220000-2200i2−i2i2−i2−i2i2−i2i2−22−222−22−2−2i2i−2i2i000000000000
χ2922-22-2-2-2200-220000-2200−i2i2−i2i2i2−i2i2−i22−22−2−22−22−2i2i−2i2i000000000000
χ3022-22-2-2-2200-220000-2200−i2i2−i2i2i2−i2i2−i2−22−222−22−22i−2i2i−2i000000000000
χ3122-2-222-2-22-200002-2000000002-2-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ3222-2-222-2-22-200002-2000000002-2-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ3322-2-222-2-22-200002-200000000-222-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
χ3422-2-222-2-22-200002-200000000-222-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ3522-2-222-2-2-220000-2200002-2-220000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ3622-2-222-2-2-220000-2200002-2-220000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ3722-2-222-2-2-220000-220000-222-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ3822-2-222-2-2-220000-220000-222-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ392-2-2-22-222222222-2-2-2-2-2-2000000000000000000000000002i−2i0000
χ402-2-2-22-222222222-2-2-2-2-2-200000000000000000000000000−2i2i0000
χ412-2-2-22-22222-2-2-2-2-2-222220000000000000000000000002-2000000
χ422-2-2-22-22222-2-2-2-2-2-22222000000000000000000000000-22000000
χ432-2-2-22-222-2-222-2-222-2-22200000000000000000000000000002-200
χ442-2-2-22-222-2-222-2-222-2-2220000000000000000000000000000-2200
χ452-2-2-22-222-2-2-2-2222222-2-20000000000000000000000000000002-2
χ462-2-2-22-222-2-2-2-2222222-2-2000000000000000000000000000000-22
χ474-4444-4-4-44-40000-44000000000000000000000000000000000000
χ484-4444-4-4-4-4400004-4000000000000000000000000000000000000
χ494-44-4-44-44004-40000-440000000000000000000000000000000000
χ504-44-4-44-4400-4400004-40000000000000000000000000000000000
χ514-4-44-444-400004-40000-4400000000000000000000000000000000
χ524-4-44-444-40000-4400004-400000000000000000000000000000000

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