Finite Group Databasebeta

← Group #26533

Character table — Group #26533

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888222244444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ91111111111-1-1-1-111-1-111-1-111111111-1-1-1-111-1-11-1-1-1-1-11111-1-11-1
χ101111111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-11-1-1-111-1-1-1-111-11
χ111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-11111-1-111-1-1-11
χ121111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-111-1-111-1-1111-1
χ131111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-11-1-1-1-111-1-111-11
χ141111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-11-1-111-1-111-1-11-1
χ151111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-111111-1-1-1-1111-1
χ161111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1111-1-11111-1-1-11
χ1722222222-2-22222-2-2-2-222220000000000000000-2-2000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-2000000000000000022000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-20000000000000000-22000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-22200000000000000002-2000000000000
χ212222-2-2-2-22222-2-2-2-22-200000000000000002-22-200000000000000
χ222222-2-2-2-22222-2-2-2-22-20000000000000000-22-2200000000000000
χ232222-2-2-2-222-2-222-2-2-2200000000000000002-2-2200000000000000
χ242222-2-2-2-222-2-222-2-2-220000000000000000-222-200000000000000
χ252222-2-2-2-2-2-222-2-222-2200002i2i−2i−2i000000000000002i−2i0000000000
χ262222-2-2-2-2-2-222-2-222-220000−2i−2i2i2i00000000000000−2i2i0000000000
χ272222-2-2-2-2-2-2-2-222222-200002i2i−2i−2i00000000000000−2i2i0000000000
χ282222-2-2-2-2-2-2-2-222222-20000−2i−2i2i2i000000000000002i−2i0000000000
χ2922-2-222-2-2002-22-200002i−2i2i−2i000022−2−222−2−2000000000000i2−i2i2−i200
χ3022-2-222-2-2002-22-200002i−2i2i−2i0000−2−222−2−222000000000000−i2i2−i2i200
χ3122-2-222-2-2002-22-20000−2i2i−2i2i000022−2−222−2−2000000000000−i2i2−i2i200
χ3222-2-222-2-2002-22-20000−2i2i−2i2i0000−2−222−2−222000000000000i2−i2i2−i200
χ3322-2-222-2-200-22-2200002i−2i−2i2i000022−2−2−2−222000000000000i2−i2−i2i200
χ3422-2-222-2-200-22-2200002i−2i−2i2i0000−2−22222−2−2000000000000−i2i2i2−i200
χ3522-2-222-2-200-22-220000−2i2i2i−2i000022−2−2−2−222000000000000−i2i2i2−i200
χ3622-2-222-2-200-22-220000−2i2i2i−2i0000−2−22222−2−2000000000000i2−i2−i2i200
χ372-22-22-2-222-200002-20000002-22-200002i−2i2i−2i000000002i−2i00000000
χ382-22-22-2-222-200002-20000002-22-20000−2i2i−2i2i00000000−2i2i00000000
χ392-22-22-2-222-200002-2000000-22-2200002i−2i2i−2i00000000−2i2i00000000
χ402-22-22-2-222-200002-2000000-22-220000−2i2i−2i2i000000002i−2i00000000
χ412-22-2-222-2-2200002-20000002i−2i−2i2i2-22-2000000000000002i−2i000000
χ422-22-2-222-2-2200002-20000002i−2i−2i2i-22-2200000000000000−2i2i000000
χ432-22-2-222-2-2200002-2000000−2i2i2i−2i2-22-200000000000000−2i2i000000
χ442-22-2-222-2-2200002-2000000−2i2i2i−2i-22-22000000000000002i−2i000000
χ4544-4-4-4-444004-4-4400000000000000000000000000000000000000
χ4644-4-4-4-44400-444-400000000000000000000000000000000000000
χ474-44-44-4-44-440000-44000000000000000000000000000000000000
χ484-44-4-444-44-40000-44000000000000000000000000000000000000
χ494-4-444-44-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ504-4-444-44-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ514-4-44-44-4400000000000000000022−22−22220000000000000000000000
χ524-4-44-44-44000000000000000000−222222−220000000000000000000000

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