Finite Group Databasebeta

← Group #27365

Character table — Group #27365

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888224444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111-1-1-111-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1111111-1-1
χ9111111111-1-1-1-1111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-11-1
χ10111111111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-11-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-111-1-1-11
χ12111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1111-1
χ13111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-111-1111-1-1-1-1-1-1-1-111-11
χ14111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1111111-1-1-1111-1-1-1-111-1-11-1
χ15111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1111-1
χ16111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1111-1-1111111-1-1-11
χ1722222222-22222-2-2-2-2-2222200000000000000-200-2000000000000
χ1822222222-22222-2-2-2-2-2-2-2-2-2000000000000002002000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-200000000000000-2002000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-22200000000000000200-2000000000000
χ21222-2-22-2-2-200002-220000002i2i−2i−2i000022-2-20000002i−2i0000000000
χ22222-2-22-2-2-200002-220000002i2i−2i−2i0000-2-222000000−2i2i0000000000
χ23222-2-22-2-2-200002-22000000−2i−2i2i2i000022-2-2000000−2i2i0000000000
χ24222-2-22-2-2-200002-22000000−2i−2i2i2i0000-2-2220000002i−2i0000000000
χ2522-22-2-22-2-20000-2220000002i−2i2i−2i2i2i−2i−2i00000002-20000000000000
χ2622-22-2-22-2-20000-2220000002i−2i2i−2i−2i−2i2i2i0000000-220000000000000
χ2722-22-2-22-2-20000-222000000−2i2i−2i2i2i2i−2i−2i0000000-220000000000000
χ2822-22-2-22-2-20000-222000000−2i2i−2i2i−2i−2i2i2i00000002-20000000000000
χ2922-2-22-2-2222i2i−2i−2i-2-222i−2i00002-2-2200000000000000002i−2i00000000
χ3022-2-22-2-2222i2i−2i−2i-2-222i−2i0000-222-20000000000000000−2i2i00000000
χ3122-2-22-2-222−2i−2i2i2i-2-22−2i2i00002-2-220000000000000000−2i2i00000000
χ3222-2-22-2-222−2i−2i2i2i-2-22−2i2i0000-222-200000000000000002i−2i00000000
χ3322-2-22-2-22-22i2i−2i−2i22-2−2i2i00000000000000002-2000000002i−2i000000
χ3422-2-22-2-22-22i2i−2i−2i22-2−2i2i0000000000000000-2200000000−2i2i000000
χ3522-2-22-2-22-2−2i−2i2i2i22-22i−2i00000000000000002-200000000−2i2i000000
χ3622-2-22-2-22-2−2i−2i2i2i22-22i−2i0000000000000000-22000000002i−2i000000
χ372-222-2-2-2202i−2i2i−2i000002i−2i2-200002−22−2i2−i2i2−i2000000000000i2−i22−200
χ382-222-2-2-2202i−2i2i−2i000002i−2i2-20000−22−22−i2i2−i2i2000000000000−i2i2−2200
χ392-222-2-2-2202i−2i2i−2i00000−2i2i-2200002−22−2i2−i2i2−i2000000000000−i2i2−2200
χ402-222-2-2-2202i−2i2i−2i00000−2i2i-220000−22−22−i2i2−i2i2000000000000i2−i22−200
χ412-222-2-2-220−2i2i−2i2i000002i−2i-2200002−22−2−i2i2−i2i2000000000000i2−i2−2200
χ422-222-2-2-220−2i2i−2i2i000002i−2i-220000−22−22i2−i2i2−i2000000000000−i2i22−200
χ432-222-2-2-220−2i2i−2i2i00000−2i2i2-200002−22−2−i2i2−i2i2000000000000−i2i22−200
χ442-222-2-2-220−2i2i−2i2i00000−2i2i2-20000−22−22i2−i2i2−i2000000000000i2−i2−2200
χ45444-4-44-4-440000-44-4000000000000000000000000000000000000
χ4644-44-4-44-4400004-4-4000000000000000000000000000000000000
χ474-44-44-44-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ484-44-44-44-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ494-4-4444-4-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ504-4-4444-4-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ514-4-4-4-444404-4-44000000000000000000000000000000000000000
χ524-4-4-4-44440-444-4000000000000000000000000000000000000000

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