Finite Group Databasebeta

← Group #26323

Character table — Group #26323

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888444444444444888822
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-1111-1-111-1-111111111-1-1-1-11-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111-1-1-111-1-1-1-111-1-111-11
χ11111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-1-11
χ12111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-11111-1-1-1-1111-1
χ13111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-11-1-1-1-11111-1-1-1-111-11
χ14111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-11-1-1-1-111-1-11111-1-11-1
χ15111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-1111-1
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
χ21222-2-22-2-2-200002-2200000022-2-200002i2i−2i−2i00000000002i−2i000000
χ22222-2-22-2-2-200002-2200000022-2-20000−2i−2i2i2i0000000000−2i2i000000
χ23222-2-22-2-2-200002-22000000-2-22200002i2i−2i−2i0000000000−2i2i000000
χ24222-2-22-2-2-200002-22000000-2-2220000−2i−2i2i2i00000000002i−2i000000
χ2522-22-2-22-2022-2-2000002i−2i2i−2i000022−2−22−22−2000000000000i2−i2i2−i200
χ2622-22-2-22-2022-2-2000002i−2i2i−2i0000−2−222−22−22000000000000−i2i2−i2i200
χ2722-22-2-22-2022-2-200000−2i2i−2i2i000022−2−22−22−2000000000000−i2i2−i2i200
χ2822-22-2-22-2022-2-200000−2i2i−2i2i0000−2−222−22−22000000000000i2−i2i2−i200
χ2922-22-2-22-20-2-222000002i−2i−2i2i000022−2−2−22−22000000000000i2−i2−i2i200
χ3022-22-2-22-20-2-222000002i−2i−2i2i0000−2−2222−22−2000000000000−i2i2i2−i200
χ3122-22-2-22-20-2-22200000−2i2i2i−2i000022−2−2−22−22000000000000−i2i2i2−i200
χ3222-22-2-22-20-2-22200000−2i2i2i−2i0000−2−2222−22−2000000000000i2−i2−i2i200
χ332-2222-2-2-222-22-2-2-222-2000000000000000000002i−2i2i−2i0000000000
χ342-2222-2-2-222-22-2-2-222-200000000000000000000−2i2i−2i2i0000000000
χ352-2222-2-2-22-22-22-2-22-22000000000000000000002i−2i−2i2i0000000000
χ362-2222-2-2-22-22-22-2-22-2200000000000000000000−2i2i2i−2i0000000000
χ372-2222-2-2-2-22-22-222-2-2200002i−2i2i−2i00000000002i−2i00000000000000
χ382-2222-2-2-2-22-22-222-2-220000−2i2i−2i2i0000000000−2i2i00000000000000
χ392-2222-2-2-2-2-22-2222-22-200002i−2i2i−2i0000000000−2i2i00000000000000
χ402-2222-2-2-2-2-22-2222-22-20000−2i2i−2i2i00000000002i−2i00000000000000
χ412-22-2-2-222200002-2-20000002i−2i−2i2i2-22-20000000000002i−2i00000000
χ422-22-2-2-222200002-2-20000002i−2i−2i2i-22-22000000000000−2i2i00000000
χ432-22-2-2-222200002-2-2000000−2i2i2i−2i2-22-2000000000000−2i2i00000000
χ442-22-2-2-222200002-2-2000000−2i2i2i−2i-22-220000000000002i−2i00000000
χ45444-4-44-4-440000-44-4000000000000000000000000000000000000
χ4644-4-44-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ4744-4-44-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ484-44-4-4-444-40000-444000000000000000000000000000000000000
χ494-4-44-44-4404-4-44000000000000000000000000000000000000000
χ504-4-44-44-440-444-4000000000000000000000000000000000000000
χ514-4-4-4444-400000000000000000022−22−22220000000000000000000000
χ524-4-4-4444-4000000000000000000−222222−220000000000000000000000

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