Finite Group Databasebeta

← Group #23637

Character table — Group #23637

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111122224444444444448888888811111111222244444444444488888888
order1222222244442244888888884444444422222222444422448888888844444444
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
χ112222-2-2-2-200002-20022−2−222−2−2000000002222-2-2-2-200002-20022−2−222−2−200000000
χ122222-2-2-2-200002-200−2−222−2−222000000002222-2-2-2-200002-200−2−222−2−22200000000
χ132222-2-2-2-20000-220022−2−2−2−222000000002222-2-2-2-20000-220022−2−2−2−22200000000
χ142222-2-2-2-20000-2200−2−22222−2−2000000002222-2-2-2-20000-2200−2−22222−2−200000000
χ1522-2-222-2-20000002i−2i2−22−2i2−i2i2−i20000000022-2-222-2-20000002i−2i2−22−2i2−i2i2−i200000000
χ1622-2-222-2-20000002i−2i−22−22−i2i2−i2i20000000022-2-222-2-20000002i−2i−22−22−i2i2−i2i200000000
χ1722-2-222-2-2000000−2i2i2−22−2−i2i2−i2i20000000022-2-222-2-2000000−2i2i2−22−2−i2i2−i2i200000000
χ1822-2-222-2-2000000−2i2i−22−22i2−i2i2−i20000000022-2-222-2-2000000−2i2i−22−22i2−i2i2−i200000000
χ1922-2-2-2-22222-2-2000000002i−2i−2i2i0000000022-2-2-2-22222-2-2000000002i−2i−2i2i00000000
χ2022-2-2-2-22222-2-200000000−2i2i2i−2i0000000022-2-2-2-22222-2-200000000−2i2i2i−2i00000000
χ2122-2-2-2-222-2-22200002-2-2200000000000022-2-2-2-222-2-22200002-2-22000000000000
χ2222-2-2-2-222-2-2220000-222-200000000000022-2-2-2-222-2-2220000-222-2000000000000
χ232-22-22-22-22-22-20000000000000000002i−2i2-22-22-22-22-22-20000000000000000002i−2i
χ242-22-22-22-22-22-2000000000000000000−2i2i2-22-22-22-22-22-2000000000000000000−2i2i
χ252-22-22-22-2-22-22000000000000002i−2i00002-22-22-22-2-22-22000000000000002i−2i0000
χ262-22-22-22-2-22-2200000000000000−2i2i00002-22-22-22-2-22-2200000000000000−2i2i0000
χ272-2-22-222-22-2-220000000000002i−2i0000002-2-22-222-22-2-220000000000002i−2i000000
χ282-2-22-222-22-2-22000000000000−2i2i0000002-2-22-222-22-2-22000000000000−2i2i000000
χ292-2-22-222-2-222-200000000000000002i−2i002-2-22-222-2-222-200000000000000002i−2i00
χ302-2-22-222-2-222-20000000000000000−2i2i002-2-22-222-2-222-20000000000000000−2i2i00
χ314-44-4-44-440000000000000000000000004-44-4-44-44000000000000000000000000
χ324-4-444-4-440000000000000000000000004-4-444-4-44000000000000000000000000
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
χ432222-2-2-2-200002-20022−2−222−2−200000000-2-2-2-222220000-2200−2−222−2−22200000000
χ442222-2-2-2-200002-200−2−222−2−22200000000-2-2-2-222220000-220022−2−222−2−200000000
χ452222-2-2-2-20000-220022−2−2−2−22200000000-2-2-2-2222200002-200−2−22222−2−200000000
χ462222-2-2-2-20000-2200−2−22222−2−200000000-2-2-2-2222200002-20022−2−2−2−22200000000
χ4722-2-222-2-20000002i−2i2−22−2i2−i2i2−i200000000-2-222-2-222000000−2i2i−22−22−i2i2−i2i200000000
χ4822-2-222-2-20000002i−2i−22−22−i2i2−i2i200000000-2-222-2-222000000−2i2i2−22−2i2−i2i2−i200000000
χ4922-2-222-2-2000000−2i2i2−22−2−i2i2−i2i200000000-2-222-2-2220000002i−2i−22−22i2−i2i2−i200000000
χ5022-2-222-2-2000000−2i2i−22−22i2−i2i2−i200000000-2-222-2-2220000002i−2i2−22−2−i2i2−i2i200000000
χ5122-2-2-2-22222-2-2000000002i−2i−2i2i00000000-2-22222-2-2-2-22200000000−2i2i2i−2i00000000
χ5222-2-2-2-22222-2-200000000−2i2i2i−2i00000000-2-22222-2-2-2-222000000002i−2i−2i2i00000000
χ5322-2-2-2-222-2-22200002-2-22000000000000-2-22222-2-222-2-20000-222-2000000000000
χ5422-2-2-2-222-2-2220000-222-2000000000000-2-22222-2-222-2-200002-2-22000000000000
χ552-22-22-22-22-22-20000000000000000002i−2i-22-22-22-22-22-22000000000000000000−2i2i
χ562-22-22-22-22-22-2000000000000000000−2i2i-22-22-22-22-22-220000000000000000002i−2i
χ572-22-22-22-2-22-22000000000000002i−2i0000-22-22-22-222-22-200000000000000−2i2i0000
χ582-22-22-22-2-22-2200000000000000−2i2i0000-22-22-22-222-22-2000000000000002i−2i0000
χ592-2-22-222-22-2-220000000000002i−2i000000-222-22-2-22-222-2000000000000−2i2i000000
χ602-2-22-222-22-2-22000000000000−2i2i000000-222-22-2-22-222-20000000000002i−2i000000
χ612-2-22-222-2-222-200000000000000002i−2i00-222-22-2-222-2-220000000000000000−2i2i00
χ622-2-22-222-2-222-20000000000000000−2i2i00-222-22-2-222-2-2200000000000000002i−2i00
χ634-44-4-44-44000000000000000000000000-44-444-44-4000000000000000000000000
χ644-4-444-4-44000000000000000000000000-444-4-444-4000000000000000000000000

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