Finite Group Databasebeta

← Group #27652

Character table — Group #27652

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444422444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1
χ611111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ911111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1
χ1011111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111
χ1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ1211111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1
χ1311111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-111
χ1411111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ1511111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111
χ17222222222222-2-22222-2-2-2-2-2-2-2-222000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000
χ2122-2-22-2-222i2i−2i−2i002i2i−2i−2i000000002-200000000000000002−2i2−i2i2−i22−2
χ2222-2-22-2-222i2i−2i−2i002i2i−2i−2i000000002-20000000000000000−22−i2i2−i2i2−22
χ2322-2-22-2-222i2i−2i−2i00−2i−2i2i2i00000000-2200000000000000002−2i2−i2−i2i2−22
χ2422-2-22-2-222i2i−2i−2i00−2i−2i2i2i00000000-220000000000000000−22−i2i2i2−i22−2
χ2522-2-22-2-22−2i−2i2i2i002i2i−2i−2i00000000-2200000000000000002−2−i2i2i2−i2−22
χ2622-2-22-2-22−2i−2i2i2i002i2i−2i−2i00000000-220000000000000000−22i2−i2−i2i22−2
χ2722-2-22-2-22−2i−2i2i2i00−2i−2i2i2i000000002-200000000000000002−2−i2i2−i2i22−2
χ2822-2-22-2-22−2i−2i2i2i00−2i−2i2i2i000000002-20000000000000000−22i2−i2i2−i2−22
χ292-22-222-2-22-22-22-200002-200002-200000000002i−2i00002i−2i00000000
χ302-22-222-2-22-22-22-200002-200002-20000000000−2i2i0000−2i2i00000000
χ312-22-222-2-22-22-2-220000-220000-22000000002i−2i00002i−2i0000000000
χ322-22-222-2-22-22-2-220000-220000-2200000000−2i2i0000−2i2i0000000000
χ332-22-222-2-2-22-222-200002-20000-2200000000002i−2i0000−2i2i00000000
χ342-22-222-2-2-22-222-200002-20000-220000000000−2i2i00002i−2i00000000
χ352-22-222-2-2-22-22-220000-2200002-2000000002i−2i0000−2i2i0000000000
χ362-22-222-2-2-22-22-220000-2200002-200000000−2i2i00002i−2i0000000000
χ372-2-2-2-22220000222-22-2-2-22-20000002i−2i2i−2i00000000000000000000
χ382-2-2-2-22220000222-22-2-2-22-2000000−2i2i−2i2i00000000000000000000
χ392-2-2-2-2222000022-22-22-2-2-220000002i−2i−2i2i00000000000000000000
χ402-2-2-2-2222000022-22-22-2-2-22000000−2i2i2i−2i00000000000000000000
χ412-2-2-2-22220000-2-22-22-222-2200000000002-200002-2000000000000
χ422-2-2-2-22220000-2-22-22-222-220000000000-220000-22000000000000
χ432-2-2-2-22220000-2-2-22-22222-200000000002-20000-22000000000000
χ442-2-2-2-22220000-2-2-22-22222-20000000000-2200002-2000000000000
χ45444-4-4-44-4000000000000004-40000000000000000000000000000
χ46444-4-4-44-400000000000000-440000000000000000000000000000
χ4744-44-44-4-400004-40000-4400000000000000000000000000000000
χ4844-44-44-4-40000-4400004-400000000000000000000000000000000
χ494-444-4-4-440000004i−4i−4i4i0000000000000000000000000000000000
χ504-444-4-4-44000000−4i4i4i−4i0000000000000000000000000000000000
χ514-4-444-44-44i−4i−4i4i0000000000000000000000000000000000000000
χ524-4-444-44-4−4i4i4i−4i0000000000000000000000000000000000000000

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