Finite Group Databasebeta

← Group #104841

Character table — Group #104841

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111111111111144444444444488888888888888888888888816161616161616161616161616161616
order12222222222222224444444444448888888888888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ92222222222222222222-2-2-2-2-2-22-2-20000000000000000000000002200000000-2-20000
χ102222222222222222222-2-2-2-2-2-22-2-2000000000000000000000000-2-200000000220000
χ112222222222222222-2-2-2222-2-2-2-22-200000000000000000000000000002200-2-2000000
χ122222222222222222-2-2-2222-2-2-2-22-20000000000000000000000000000-2-20022000000
χ132222222222222222-2-2-2-2-2-2222-2-22000000000000000000000000002200-2-200000000
χ142222222222222222-2-2-2-2-2-2222-2-2200000000000000000000000000-2-2002200000000
χ15222222-2-2-2-222-2-2-2-222-2000000-2002222−2−2−2−22222−2−2−2−2000000002-200000000000000
χ16222222-2-2-2-222-2-2-2-222-2000000-2002222−2−2−2−2−2−2−2−2222200000000-2200000000000000
χ17222222-2-2-2-222-2-2-2-222-2000000-200−2−2−2−222222222−2−2−2−200000000-2200000000000000
χ18222222-2-2-2-222-2-2-2-222-2000000-200−2−2−2−22222−2−2−2−22222000000002-200000000000000
χ192222-2-222-2-2-2-22-22-20000002-2-2002i2i2−i2−i2i2i2−i2−i2000000002222−2−2−2−2002i−2i000000000000
χ202222-2-222-2-2-2-22-22-20000002-2-2002i2i2−i2−i2i2i2−i2−i200000000−2−2−2−2222200−2i2i000000000000
χ212222-2-222-2-2-2-22-22-20000002-2-2002−i2−i2i2i2−i2−i2i2i2000000002222−2−2−2−200−2i2i000000000000
χ222222-2-222-2-2-2-22-22-20000002-2-2002−i2−i2i2i2−i2−i2i2i200000000−2−2−2−22222002i−2i000000000000
χ2322-2-2222-22-2-2-2-222-20002-2-200002000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200002i−2i0000000000
χ2422-2-2222-22-2-2-2-222-20002-2-200002000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000−2i2i0000000000
χ2522-2-2222-22-2-2-2-222-20002-2-200002000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−20000−2i2i0000000000
χ2622-2-2222-22-2-2-2-222-20002-2-200002000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200002i−2i0000000000
χ272-22-22-2222-22-2-2-2-222-2-2000000200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000002-20000
χ282-22-22-2222-22-2-2-2-222-2-2000000200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000000000-220000
χ292-22-22-2222-22-2-2-2-222-2-2000000200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000000000-220000
χ302-22-22-2222-22-2-2-2-222-2-2000000200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000002-20000
χ312-22-22-2-2-2-222-2222-22-2222-2-22-2-2-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ322-22-22-2-2-2-222-2222-22-2222-2-22-2-2-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ332-22-22-2-2-2-222-2222-22-22-2-222-22-22-2000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ342-22-22-2-2-2-222-2222-22-22-2-222-22-22-200000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ352-22-22-2-2-2-222-2222-2-22-222-22-222-2-20000000000000000000000000000000000002i2i−2i−2i
χ362-22-22-2-2-2-222-2222-2-22-222-22-222-2-2000000000000000000000000000000000000−2i−2i2i2i
χ372-22-22-2-2-2-222-2222-2-22-2-2-22-22-222200000000000000002-22-22-22-20000000000000000
χ382-22-22-2-2-2-222-2222-2-22-2-2-22-22-22220000000000000000-22-22-22-220000000000000000
χ392-22-2-22-2-22-2-222-222000000-2-220022−2−22−222−2000000002−22−2−22−220000002-200000000
χ402-22-2-22-2-22-2-222-222000000-2-220022−2−22−222−200000000−22−222−22−2000000-2200000000
χ412-22-2-22-2-22-2-222-222000000-2-22002−222−22−2−22000000002−22−2−22−22000000-2200000000
χ422-22-2-22-2-22-2-222-222000000-2-22002−222−22−2−2200000000−22−222−22−20000002-200000000
χ432-2-222-2-22-2-2-22-2222000-22-2000020000000002−2−22−222−22−2−222−2−22000000002-2000000
χ442-2-222-2-22-2-2-22-2222000-22-2000020000000002−2−22−222−2−222−2−222−200000000-22000000
χ452-2-222-2-22-2-2-22-2222000-22-200002000000000−222−22−2−222−2−222−2−2200000000-22000000
χ462-2-222-2-22-2-2-22-2222000-22-200002000000000−222−22−2−22−222−2−222−2000000002-2000000
χ47444444-4-4-4-444-4-4-4-4-4-440000004000000000000000000000000000000000000000000
χ484444-4-444-4-4-4-44-44-4000000-44400-40000000000000000000000000000000000000000
χ494444-4-4-4-444-4-4-44-440000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ504444-4-4-4-444-4-4-44-44000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ5144-4-4444-44-4-4-4-444-4000-4440000-400000000000000000000000000000000000000000
χ5244-4-444-44-44-4-44-4-44000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5344-4-444-44-44-4-44-4-4400000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5444-4-4-4-44-4-4444-4-444000000000000000000000000000022-2-2-2-2220000000000000000
χ5544-4-4-4-44-4-4444-4-4440000000000000000000000000000-2-22222-2-20000000000000000
χ5644-4-4-4-4-444-44444-4-40000000000000000000000000000000000000000000000002i−2i2i−2i
χ5744-4-4-4-4-444-44444-4-4000000000000000000000000000000000000000000000000−2i2i−2i2i
χ584-44-44-4444-44-4-4-4-44-444000000-4000000000000000000000000000000000000000000
χ594-44-4-4444-44-44-44-4-40000000000002-2-222-2-2200000000000000000000000000000000
χ604-44-4-4444-44-44-44-4-4000000000000-222-2-222-200000000000000000000000000000000
χ614-44-4-44-4-44-4-444-44400000044-400-40000000000000000000000000000000000000000
χ624-4-444-44-444-444-4-4-4000000000000000000002-2-222-2-22000000000000000000000000
χ634-4-444-44-444-444-4-4-400000000000000000000-222-2-222-2000000000000000000000000
χ644-4-444-4-44-4-4-44-44440004-440000-400000000000000000000000000000000000000000
χ654-4-44-444-4-4-44-444-440000000000000000000000000000000000000000000000002-2-22
χ664-4-44-444-4-4-44-444-44000000000000000000000000000000000000000000000000-222-2
χ674-4-44-44-44444-4-4-44-400000000000000000000000000002-2-22-222-20000000000000000
χ684-4-44-44-44444-4-4-44-40000000000000000000000000000-222-22-2-220000000000000000

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