Finite Group Databasebeta

← Group #26348

Character table — Group #26348

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222222224444444444444488888888224444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-11111-1-1
χ911111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1111-111-1-1-1-111-1-11-1
χ1011111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1111-1-1-111-1-1-1-111-11
χ1111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1111111-1-1-11
χ1211111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-1111-1
χ1311111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1111-1-1-1-1-1-111-11
χ1411111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-11-1-111-1-111-1-11-1
χ1511111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-1111-1
χ1611111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111111-1-11111-1-1-11
χ17222222222222-2-2-2-2-2-2222200000000000000-200-2000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2000000000000002002000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-200000000000000-2002000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-22200000000000000200-2000000000000
χ2122-222-2-2-222-2-222-2-22-200000000000000002-202-20000000000000
χ2222-222-2-2-222-2-222-2-22-20000000000000000-220-220000000000000
χ2322-222-2-2-222-2-2-2-222-2200002i2i−2i−2i0000000000000000002i−2i000000
χ2422-222-2-2-222-2-2-2-222-220000−2i−2i2i2i000000000000000000−2i2i000000
χ2522-222-2-2-2-2-22222-2-2-2200000000000000002-20-220000000000000
χ2622-222-2-2-2-2-22222-2-2-220000000000000000-2202-20000000000000
χ2722-222-2-2-2-2-222-2-2222-200002i2i−2i−2i000000000000000000−2i2i000000
χ2822-222-2-2-2-2-222-2-2222-20000−2i−2i2i2i0000000000000000002i−2i000000
χ292-222-22-2-200002-2-220000002i−2i2i−2i000022-2-2000000002i−2i00000000
χ302-222-22-2-200002-2-220000002i−2i2i−2i0000-2-22200000000−2i2i00000000
χ312-222-22-2-200002-2-22000000−2i2i−2i2i000022-2-200000000−2i2i00000000
χ322-222-22-2-200002-2-22000000−2i2i−2i2i0000-2-222000000002i−2i00000000
χ332-22-22-22-22-22-20000002i−2i2i−2i0000i2i2−i2−i2i2−i2i2−i20000000000002−22−200
χ342-22-22-22-22-22-20000002i−2i2i−2i0000−i2−i2i2i2−i2i2−i2i2000000000000−22−2200
χ352-22-22-22-22-22-2000000−2i2i−2i2i0000i2i2−i2−i2i2−i2i2−i2000000000000−22−2200
χ362-22-22-22-22-22-2000000−2i2i−2i2i0000−i2−i2i2i2−i2i2−i2i20000000000002−22−200
χ372-22-22-22-2-22-220000002i−2i−2i2i0000i2i2−i2−i2−i2i2−i2i20000000000002−2−2200
χ382-22-22-22-2-22-220000002i−2i−2i2i0000−i2−i2i2i2i2−i2i2−i2000000000000−222−200
χ392-22-22-22-2-22-22000000−2i2i2i−2i0000i2i2−i2−i2−i2i2−i2i2000000000000−222−200
χ402-22-22-22-2-22-22000000−2i2i2i−2i0000−i2−i2i2i2i2−i2i2−i20000000000002−2−2200
χ412-2-22-2-2220000-22-220000002-2-222-22-200000000002-20000000000
χ422-2-22-2-2220000-22-220000002-2-22-22-220000000000-220000000000
χ432-2-22-2-2220000-22-22000000-222-22-22-20000000000-220000000000
χ442-2-22-2-2220000-22-22000000-222-2-22-2200000000002-20000000000
χ45444-4-4-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ46444-4-4-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ4744-4-4-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ4844-4-4-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ494-444-44-4-40000-444-4000000000000000000000000000000000000
χ504-4-44-4-44400004-44-4000000000000000000000000000000000000
χ514-4-4-444-444-4-440000000000000000000000000000000000000000
χ524-4-4-444-44-444-40000000000000000000000000000000000000000

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