Finite Group Databasebeta

← Group #26937

Character table — Group #26937

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888244444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-111-111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-111-11
χ1111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-111-11
χ1211111111-1-1-1-11111-1-11111-1-111-1-1-1-111111-1-1-1-1-111-1-11111-1-11-1
χ1311111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-1-1-11
χ1411111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-11111111-1-1-1-1-1-1111-1
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-11111-1-1111-1
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-111-1-111-1-1-11
χ17222222222222-2-2-2-2-2-20000222200000000-200-200000000000000
χ18222222222222-2-2-2-2-2-20000-2-2-2-200000000200200000000000000
χ1922222222-2-2-2-2-2-2-2-222000022-2-200000000200-200000000000000
χ2022222222-2-2-2-2-2-2-2-2220000-2-22200000000-200200000000000000
χ2122-22-2-2-222i2i−2i−2i2-2-222i−2i00000000000000000000002i−2i2-200000000
χ2222-22-2-2-222i2i−2i−2i2-2-222i−2i0000000000000000000000−2i2i-2200000000
χ2322-22-2-2-222i2i−2i−2i-222-2−2i2i2i2i−2i−2i00000000000002-2000000000000000
χ2422-22-2-2-222i2i−2i−2i-222-2−2i2i−2i−2i2i2i0000000000000-22000000000000000
χ2522-22-2-2-22−2i−2i2i2i2-2-22−2i2i00000000000000000000002i−2i-2200000000
χ2622-22-2-2-22−2i−2i2i2i2-2-22−2i2i0000000000000000000000−2i2i2-200000000
χ2722-22-2-2-22−2i−2i2i2i-222-22i−2i2i2i−2i−2i0000000000000-22000000000000000
χ2822-22-2-2-22−2i−2i2i2i-222-22i−2i−2i−2i2i2i00000000000002-2000000000000000
χ292-22-22-2-22000022-2-2002i−2i2i−2i00002i2i−2i−2i000000002-2000000000000
χ302-22-22-2-22000022-2-2002i−2i2i−2i0000−2i−2i2i2i00000000-22000000000000
χ312-22-22-2-22000022-2-200−2i2i−2i2i00002i2i−2i−2i00000000-22000000000000
χ322-22-22-2-22000022-2-200−2i2i−2i2i0000−2i−2i2i2i000000002-2000000000000
χ332-2-222-22-22i−2i2i−2i00000000002-22i−2ii2−i2i2−i222−2−2000000000000i2−i22−200
χ342-2-222-22-22i−2i2i−2i00000000002-22i−2i−i2i2−i2i2−2−222000000000000−i2i2−2200
χ352-2-222-22-22i−2i2i−2i0000000000-22−2i2ii2−i2i2−i222−2−2000000000000−i2i2−2200
χ362-2-222-22-22i−2i2i−2i0000000000-22−2i2i−i2i2−i2i2−2−222000000000000i2−i22−200
χ372-2-222-22-2−2i2i−2i2i00000000002-2−2i2ii2−i2i2−i2−2−222000000000000i2−i2−2200
χ382-2-222-22-2−2i2i−2i2i00000000002-2−2i2i−i2i2−i2i222−2−2000000000000−i2i22−200
χ392-2-222-22-2−2i2i−2i2i0000000000-222i−2ii2−i2i2−i2−2−222000000000000−i2i22−200
χ402-2-222-22-2−2i2i−2i2i0000000000-222i−2i−i2i2−i2i222−2−2000000000000i2−i2−2200
χ412-2-2-2-22220000-22-22002-2-22000000002-22-200000000002-2000000
χ422-2-2-2-22220000-22-22002-2-2200000000-22-220000000000-22000000
χ432-2-2-2-22220000-22-2200-222-2000000002-22-20000000000-22000000
χ442-2-2-2-22220000-22-2200-222-200000000-22-2200000000002-2000000
χ45444-4-4-44-4000000000000000000000022−22−2222000000000000000000
χ46444-4-4-44-40000000000000000000000−222222−22000000000000000000
χ4744-4-444-4-400000000000000000022−22−22220000000000000000000000
χ4844-4-444-4-4000000000000000000−222222−220000000000000000000000
χ494-444-44-4-44-4-440000000000000000000000000000000000000000
χ504-444-44-4-4-444-40000000000000000000000000000000000000000
χ514-44-44-4-440000-4-444000000000000000000000000000000000000
χ524-4-4-4-444400004-44-4000000000000000000000000000000000000

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