Finite Group Databasebeta

← Group #23725

Character table — Group #23725

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111122224444444444448888888811111111222244444444444488888888
order1222222244444444888888882244444422222222444444448888888822444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
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
χ11222-22-2-2-222-2-20000000000002-2000000222-22-2-2-222-2-20000000000002-2000000
χ12222-22-2-2-222-2-2000000000000-22000000222-22-2-2-222-2-2000000000000-22000000
χ13222-22-2-2-2-2-222000000000000002i−2i0000222-22-2-2-2-2-222000000000000002i−2i0000
χ14222-22-2-2-2-2-22200000000000000−2i2i0000222-22-2-2-2-2-22200000000000000−2i2i0000
χ1522-2-2-22-220000002-222−2−222−2−20000000022-2-2-22-220000002-222−2−222−2−200000000
χ1622-2-2-22-220000002-2−2−222−2−2220000000022-2-2-22-220000002-2−2−222−2−22200000000
χ1722-2-2-22-22000000-2222−2−2−2−2220000000022-2-2-22-22000000-2222−2−2−2−22200000000
χ1822-2-2-22-22000000-22−2−22222−2−20000000022-2-2-22-22000000-22−2−22222−2−200000000
χ192-22-2-2-22200002-2002−22−22−22−2000000002-22-2-2-22200002-2002−22−22−22−200000000
χ202-22-2-2-22200002-200−22−22−22−22000000002-22-2-2-22200002-200−22−22−22−2200000000
χ212-22-2-2-2220000-22002−22−2−22−22000000002-22-2-2-2220000-22002−22−2−22−2200000000
χ222-22-2-2-2220000-2200−22−222−22−2000000002-22-2-2-2220000-2200−22−222−22−200000000
χ232-2-222-2-222-22-2000000002-2-22000000002-2-222-2-222-22-2000000002-2-2200000000
χ242-2-222-2-222-22-200000000-222-2000000002-2-222-2-222-22-200000000-222-200000000
χ252-2-222-2-22-22-2200002-2-220000000000002-2-222-2-22-22-2200002-2-22000000000000
χ262-2-222-2-22-22-220000-222-20000000000002-2-222-2-22-22-220000-222-2000000000000
χ272-2-2-2222-22-2-220000000000000000002i−2i2-2-2-2222-22-2-220000000000000000002i−2i
χ282-2-2-2222-22-2-22000000000000000000−2i2i2-2-2-2222-22-2-22000000000000000000−2i2i
χ292-2-2-2222-2-222-200000000000000002i−2i002-2-2-2222-2-222-200000000000000002i−2i00
χ302-2-2-2222-2-222-20000000000000000−2i2i002-2-2-2222-2-222-20000000000000000−2i2i00
χ3144-44-4-44-400000000000000000000000044-44-4-44-4000000000000000000000000
χ324-444-44-4-40000000000000000000000004-444-44-4-4000000000000000000000000
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
χ351111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ361111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ37111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ38111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
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
χ43222-22-2-2-222-2-20000000000002-2000000-2-2-22-2222-2-222000000000000-22000000
χ44222-22-2-2-222-2-2000000000000-22000000-2-2-22-2222-2-2220000000000002-2000000
χ45222-22-2-2-2-2-222000000000000002i−2i0000-2-2-22-222222-2-200000000000000−2i2i0000
χ46222-22-2-2-2-2-22200000000000000−2i2i0000-2-2-22-222222-2-2000000000000002i−2i0000
χ4722-2-2-22-220000002-222−2−222−2−200000000-2-2222-22-2000000-22−2−222−2−22200000000
χ4822-2-2-22-220000002-2−2−222−2−22200000000-2-2222-22-2000000-2222−2−222−2−200000000
χ4922-2-2-22-22000000-2222−2−2−2−22200000000-2-2222-22-20000002-2−2−22222−2−200000000
χ5022-2-2-22-22000000-22−2−22222−2−200000000-2-2222-22-20000002-222−2−2−2−22200000000
χ512-22-2-2-22200002-2002−22−22−22−200000000-22-2222-2-20000-2200−22−22−22−2200000000
χ522-22-2-2-22200002-200−22−22−22−2200000000-22-2222-2-20000-22002−22−22−22−200000000
χ532-22-2-2-2220000-22002−22−2−22−2200000000-22-2222-2-200002-200−22−222−22−200000000
χ542-22-2-2-2220000-2200−22−222−22−200000000-22-2222-2-200002-2002−22−2−22−2200000000
χ552-2-222-2-222-22-2000000002-2-2200000000-222-2-222-2-22-2200000000-222-200000000
χ562-2-222-2-222-22-200000000-222-200000000-222-2-222-2-22-22000000002-2-2200000000
χ572-2-222-2-22-22-2200002-2-22000000000000-222-2-222-22-22-20000-222-2000000000000
χ582-2-222-2-22-22-220000-222-2000000000000-222-2-222-22-22-200002-2-22000000000000
χ592-2-2-2222-22-2-220000000000000000002i−2i-2222-2-2-22-222-2000000000000000000−2i2i
χ602-2-2-2222-22-2-22000000000000000000−2i2i-2222-2-2-22-222-20000000000000000002i−2i
χ612-2-2-2222-2-222-200000000000000002i−2i00-2222-2-2-222-2-220000000000000000−2i2i00
χ622-2-2-2222-2-222-20000000000000000−2i2i00-2222-2-2-222-2-2200000000000000002i−2i00
χ6344-44-4-44-4000000000000000000000000-4-44-444-44000000000000000000000000
χ644-444-44-4-4000000000000000000000000-44-4-44-444000000000000000000000000

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