Finite Group Databasebeta

← Group #23608

Character table — Group #23608

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111122224444444444448888888811111111222244444444444488888888
order1222222244444444888888884444444422222222444444448888888844444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-20000000000000000
χ1022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-2220000000000000000
χ11222-22-2-2-200002-20022−2−222−2−200000000222-22-2-2-200002-20022−2−222−2−200000000
χ12222-22-2-2-200002-200−2−222−2−22200000000222-22-2-2-200002-200−2−222−2−22200000000
χ13222-22-2-2-20000-220022−2−2−2−22200000000222-22-2-2-20000-220022−2−2−2−22200000000
χ14222-22-2-2-20000-2200−2−22222−2−200000000222-22-2-2-20000-2200−2−22222−2−200000000
χ1522-22-22-2-222-2-2000000000000002-2000022-22-22-2-222-2-2000000000000002-20000
χ1622-22-22-2-222-2-200000000000000-22000022-22-22-2-222-2-200000000000000-220000
χ1722-22-22-2-2-2-2220000000000000000002i−2i22-22-22-2-2-2-2220000000000000000002i−2i
χ1822-22-22-2-2-2-222000000000000000000−2i2i22-22-22-2-2-2-222000000000000000000−2i2i
χ192-22-2-22-222-22-20000000000002i−2i0000002-22-2-22-222-22-20000000000002i−2i000000
χ202-22-2-22-222-22-2000000000000−2i2i0000002-22-2-22-222-22-2000000000000−2i2i000000
χ212-22-2-22-22-22-2200000000000000002-2002-22-2-22-22-22-2200000000000000002-200
χ222-22-2-22-22-22-220000000000000000-22002-22-2-22-22-22-220000000000000000-2200
χ232-2-222-2-220000002i−2i2−22−2i2−i2i2−i2000000002-2-222-2-220000002i−2i2−22−2i2−i2i2−i200000000
χ242-2-222-2-220000002i−2i−22−22−i2i2−i2i2000000002-2-222-2-220000002i−2i−22−22−i2i2−i2i200000000
χ252-2-222-2-22000000−2i2i2−22−2−i2i2−i2i2000000002-2-222-2-22000000−2i2i2−22−2−i2i2−i2i200000000
χ262-2-222-2-22000000−2i2i−22−22i2−i2i2−i2000000002-2-222-2-22000000−2i2i−22−22i2−i2i2−i200000000
χ272-2-2-2222-22-2-2200002-2-220000000000002-2-2-2222-22-2-2200002-2-22000000000000
χ282-2-2-2222-22-2-220000-222-20000000000002-2-2-2222-22-2-220000-222-2000000000000
χ292-2-2-2222-2-222-2000000002i−2i−2i2i000000002-2-2-2222-2-222-2000000002i−2i−2i2i00000000
χ302-2-2-2222-2-222-200000000−2i2i2i−2i000000002-2-2-2222-2-222-200000000−2i2i2i−2i00000000
χ3144-4-4-4-44400000000000000000000000044-4-4-4-444000000000000000000000000
χ324-444-4-44-40000000000000000000000004-444-4-44-4000000000000000000000000
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ351111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ361111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ37111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ38111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ39111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ40111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ4122222222-2-2-2-222-2-20000000000000000-2-2-2-2-2-2-2-22222-2-2220000000000000000
χ4222222222-2-2-2-2-2-2220000000000000000-2-2-2-2-2-2-2-2222222-2-20000000000000000
χ43222-22-2-2-200002-20022−2−222−2−200000000-2-2-22-22220000-2200−2−222−2−22200000000
χ44222-22-2-2-200002-200−2−222−2−22200000000-2-2-22-22220000-220022−2−222−2−200000000
χ45222-22-2-2-20000-220022−2−2−2−22200000000-2-2-22-222200002-200−2−22222−2−200000000
χ46222-22-2-2-20000-2200−2−22222−2−200000000-2-2-22-222200002-20022−2−2−2−22200000000
χ4722-22-22-2-222-2-2000000000000002-20000-2-22-22-222-2-22200000000000000-220000
χ4822-22-22-2-222-2-200000000000000-220000-2-22-22-222-2-222000000000000002-20000
χ4922-22-22-2-2-2-2220000000000000000002i−2i-2-22-22-22222-2-2000000000000000000−2i2i
χ5022-22-22-2-2-2-222000000000000000000−2i2i-2-22-22-22222-2-20000000000000000002i−2i
χ512-22-2-22-222-22-20000000000002i−2i000000-22-222-22-2-22-22000000000000−2i2i000000
χ522-22-2-22-222-22-2000000000000−2i2i000000-22-222-22-2-22-220000000000002i−2i000000
χ532-22-2-22-22-22-2200000000000000002-200-22-222-22-22-22-20000000000000000-2200
χ542-22-2-22-22-22-220000000000000000-2200-22-222-22-22-22-200000000000000002-200
χ552-2-222-2-220000002i−2i2−22−2i2−i2i2−i200000000-222-2-222-2000000−2i2i−22−22−i2i2−i2i200000000
χ562-2-222-2-220000002i−2i−22−22−i2i2−i2i200000000-222-2-222-2000000−2i2i2−22−2i2−i2i2−i200000000
χ572-2-222-2-22000000−2i2i2−22−2−i2i2−i2i200000000-222-2-222-20000002i−2i−22−22i2−i2i2−i200000000
χ582-2-222-2-22000000−2i2i−22−22i2−i2i2−i200000000-222-2-222-20000002i−2i2−22−2−i2i2−i2i200000000
χ592-2-2-2222-22-2-2200002-2-22000000000000-2222-2-2-22-222-20000-222-2000000000000
χ602-2-2-2222-22-2-220000-222-2000000000000-2222-2-2-22-222-200002-2-22000000000000
χ612-2-2-2222-2-222-2000000002i−2i−2i2i00000000-2222-2-2-222-2-2200000000−2i2i2i−2i00000000
χ622-2-2-2222-2-222-200000000−2i2i2i−2i00000000-2222-2-2-222-2-22000000002i−2i−2i2i00000000
χ6344-4-4-4-444000000000000000000000000-4-44444-4-4000000000000000000000000
χ644-444-4-44-4000000000000000000000000-44-4-444-44000000000000000000000000

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