Finite Group Databasebeta

← Group #25013

Character table — Group #25013

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888222244444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ9111111111-1-1-1-1111-1-111-1-111111111-1-1-1-11-111-1-1-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-111-11
χ11111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-1-11
χ12111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-1111-1
χ13111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-11
χ14111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-11-1-1-1-111-1-11111-1-11-1
χ15111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-1111-1
χ16111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-111111-1-111-1-111-1-1-11
χ1722222222-22222-2-2-2-2-22222000000000000-2-20000000000000000
χ1822222222-22222-2-2-2-2-2-2-2-2-2000000000000220000000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-2000000000000-220000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-2220000000000002-20000000000000000
χ2122-222-2-2-2-200002-220000002i2i−2i−2i000022-2-20000002i−2i0000000000
χ2222-222-2-2-2-200002-220000002i2i−2i−2i0000-2-222000000−2i2i0000000000
χ2322-222-2-2-2-200002-22000000−2i−2i2i2i000022-2-2000000−2i2i0000000000
χ2422-222-2-2-2-200002-22000000−2i−2i2i2i0000-2-2220000002i−2i0000000000
χ2522-2-2-222-2022-2-2000002i−2i2i−2i0000i2i2−i2−i2i2−i2i2−i20000000000002−22−200
χ2622-2-2-222-2022-2-2000002i−2i2i−2i0000−i2−i2i2i2−i2i2−i2i2000000000000−22−2200
χ2722-2-2-222-2022-2-200000−2i2i−2i2i0000i2i2−i2−i2i2−i2i2−i2000000000000−22−2200
χ2822-2-2-222-2022-2-200000−2i2i−2i2i0000−i2−i2i2i2−i2i2−i2i20000000000002−22−200
χ2922-2-2-222-20-2-222000002i−2i−2i2i0000i2i2−i2−i2−i2i2−i2i20000000000002−2−2200
χ3022-2-2-222-20-2-222000002i−2i−2i2i0000−i2−i2i2i2i2−i2i2−i2000000000000−222−200
χ3122-2-2-222-20-2-22200000−2i2i2i−2i0000i2i2−i2−i2−i2i2−i2i2000000000000−222−200
χ3222-2-2-222-20-2-22200000−2i2i2i−2i0000−i2−i2i2i2i2−i2i2−i20000000000002−2−2200
χ332-22-222-2-222-22-2-2-222-200002i−2i2i−2i0000000000002i−2i000000000000
χ342-22-222-2-222-22-2-2-222-20000−2i2i−2i2i000000000000−2i2i000000000000
χ352-22-222-2-22-22-22-2-22-2200002i−2i2i−2i000000000000−2i2i000000000000
χ362-22-222-2-22-22-22-2-22-220000−2i2i−2i2i0000000000002i−2i000000000000
χ372-22-222-2-2-22-22-222-2-220000000000000000000000002i−2i2i−2i000000
χ382-22-222-2-2-22-22-222-2-22000000000000000000000000−2i2i−2i2i000000
χ392-22-222-2-2-2-22-2222-22-20000000000000000000000002i−2i−2i2i000000
χ402-22-222-2-2-2-22-2222-22-2000000000000000000000000−2i2i2i−2i000000
χ412-2-2-22-222-20000-2220000002-2-222-22-20000002-200000000000000
χ422-2-2-22-222-20000-2220000002-2-22-22-22000000-2200000000000000
χ432-2-2-22-222-20000-222000000-222-22-22-2000000-2200000000000000
χ442-2-2-22-222-20000-222000000-222-2-22-220000002-200000000000000
χ45444-4-4-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ46444-4-4-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ4744-444-4-4-440000-44-4000000000000000000000000000000000000
χ484-444-4-44-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ494-444-4-44-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ504-4-44-44-4404-4-44000000000000000000000000000000000000000
χ514-4-44-44-440-444-4000000000000000000000000000000000000000
χ524-4-4-44-444400004-4-4000000000000000000000000000000000000

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