Finite Group Databasebeta

← Group #10686

Character table — Group #10686

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444488888888888888888888888844444444
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
χ92222222222-2-2-2-222-2-2-2-200000000000000002222-2-2-2-200000000
χ102222222222-2-2-2-222-2-2-2-20000000000000000-2-2-2-2222200000000
χ1122222222-2-222-2-2-2-222-2-2000000002222-2-2-2-20000000000000000
χ1222222222-2-222-2-2-2-222-2-200000000-2-2-2-222220000000000000000
χ1322222222-2-2-2-222-2-2-2-2222222-2-2-2-2000000000000000000000000
χ1422222222-2-2-2-222-2-2-2-222-2-2-2-22222000000000000000000000000
χ1522-2-22-2-2200002-200002-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000
χ1622-2-22-2-2200002-200002-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000
χ1722-2-22-2-2200002-200002-20000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ1822-2-22-2-2200002-200002-20000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ1922-2-22-2-220000-220000-2222-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ2022-2-22-2-220000-220000-2222-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ2122-2-22-2-220000-220000-22-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ2222-2-22-2-220000-220000-22-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ232-222-2-2-22222222-2-2-2-2-2-20000000000000000000000000000002-2
χ242-222-2-2-22222222-2-2-2-2-2-2000000000000000000000000000000-22
χ252-222-2-2-2222-2-2-2-2-2-222220000000000000000000000002i−2i000000
χ262-222-2-2-2222-2-2-2-2-2-22222000000000000000000000000−2i2i000000
χ272-222-2-2-22-2-222-2-222-2-222000000000000000000000000002i−2i0000
χ282-222-2-2-22-2-222-2-222-2-22200000000000000000000000000−2i2i0000
χ292-222-2-2-22-2-2-2-2222222-2-200000000000000000000000000002i−2i00
χ302-222-2-2-22-2-2-2-2222222-2-20000000000000000000000000000−2i2i00
χ312-22-222-2-2002-200002-200i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i2−22−22−22−200000000
χ322-22-222-2-2002-200002-200i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i−22−22−22−2200000000
χ332-22-222-2-2002-200002-200−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i−22−22−22−2200000000
χ342-22-222-2-2002-200002-200−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i2−22−22−22−200000000
χ352-22-222-2-200-220000-2200i2−i2i2−i2−i2i2−i2i22i−2i2i−2i00002−22−2−22−2200000000
χ362-22-222-2-200-220000-2200i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i0000−22−222−22−200000000
χ372-22-222-2-200-220000-2200−i2i2−i2i2i2−i2i2−i22i−2i2i−2i0000−22−222−22−200000000
χ382-22-222-2-200-220000-2200−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i00002−22−2−22−2200000000
χ392-2-222-22-22-200002-20000i2−i2−i2i2i2−i2−i2i22−2−222−2−220000−2i2i2i−2i00000000
χ402-2-222-22-22-200002-20000i2−i2−i2i2i2−i2−i2i2−222−2−222−200002i−2i−2i2i00000000
χ412-2-222-22-22-200002-20000−i2i2i2−i2−i2i2i2−i22−2−222−2−2200002i−2i−2i2i00000000
χ422-2-222-22-22-200002-20000−i2i2i2−i2−i2i2i2−i2−222−2−222−20000−2i2i2i−2i00000000
χ432-2-222-22-2-220000-220000i2−i2−i2i2−i2i2i2−i22−2−22−222−2−2i2i2i−2i000000000000
χ442-2-222-22-2-220000-220000i2−i2−i2i2−i2i2i2−i2−222−22−2−222i−2i−2i2i000000000000
χ452-2-222-22-2-220000-220000−i2i2i2−i2i2−i2−i2i22−2−22−222−22i−2i−2i2i000000000000
χ462-2-222-22-2-220000-220000−i2i2i2−i2i2−i2−i2i2−222−22−2−22−2i2i2i−2i000000000000
χ47444-4-4-44-4004-40000-440000000000000000000000000000000000
χ48444-4-4-44-400-4400004-40000000000000000000000000000000000
χ4944-44-44-4-44-40000-44000000000000000000000000000000000000
χ5044-44-44-4-4-4400004-4000000000000000000000000000000000000
χ514-4-4-4-444400004-40000-4400000000000000000000000000000000
χ524-4-4-4-44440000-4400004-400000000000000000000000000000000

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