Finite Group Databasebeta

← Group #30261

Character table — Group #30261

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444444444444888888888888888822444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-11
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11-11
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-111-11-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ17222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000
χ21222-2-2-22-2000022-2-20000002i−2i2i−2i0022−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000
χ22222-2-2-22-2000022-2-20000002i−2i2i−2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000
χ23222-2-2-22-2000022-2-2000000−2i2i−2i2i0022−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000
χ24222-2-2-22-2000022-2-2000000−2i2i−2i2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000
χ25222-2-2-22-20000-2-2220000002i−2i−2i2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000
χ26222-2-2-22-20000-2-2220000002i−2i−2i2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000
χ27222-2-2-22-20000-2-222000000−2i2i2i−2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000
χ28222-2-2-22-20000-2-222000000−2i2i2i−2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000
χ292-2-222-22-200002-22-200002i−2i00002i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000
χ302-2-222-22-200002-22-200002i−2i00002i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000
χ312-2-222-22-200002-22-20000−2i2i0000−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000
χ322-2-222-22-200002-22-20000−2i2i0000−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000
χ332-2-222-22-20000-22-2200002i−2i0000−2i2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000
χ342-2-222-22-20000-22-2200002i−2i0000−2i2i−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000
χ352-2-222-22-20000-22-220000−2i2i00002i−2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000
χ362-2-222-22-20000-22-220000−2i2i00002i−2i−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000
χ372-2-2-2-222222-2-22-2-2222-2-200000000000000002-2-222-2-2200000000
χ382-2-2-2-222222-2-22-2-2222-2-20000000000000000-222-2-222-200000000
χ392-2-2-2-222222-2-2-222-2-2-222000000002-2-22-222-20000000000000000
χ402-2-2-2-222222-2-2-222-2-2-22200000000-222-22-2-220000000000000000
χ412-2-2-2-2222-2-2222-2-22-2-222000000002-2-222-2-220000000000000000
χ422-2-2-2-2222-2-2222-2-22-2-22200000000-222-2-222-20000000000000000
χ432-2-2-2-2222-2-222-222-222-2-200000000000000002-2-22-222-200000000
χ442-2-2-2-2222-2-222-222-222-2-20000000000000000-222-22-2-2200000000
χ4544-44-44-4-44-44-40000000000000000000000000000000000000000
χ4644-44-44-4-4-44-440000000000000000000000000000000000000000
χ4744-4-44-4-44000000004-44-400000000000000000000000000000000
χ4844-4-44-4-4400000000-44-4400000000000000000000000000000000
χ494-444-4-4-44000000004-4-4400000000000000000000000000000000
χ504-444-4-4-4400000000-444-400000000000000000000000000000000
χ514-44-444-4-44-4-440000000000000000000000000000000000000000
χ524-44-444-4-4-444-40000000000000000000000000000000000000000

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