Finite Group Databasebeta

← Group #29398

Character table — Group #29398

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111
χ7111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ8111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ911111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ1111111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ1211111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-111-1-1-1-111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-1111111-1-1-1-111
χ172222222222222222-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000
χ212-222-2-22-200002i2i−2i−2i22-2-200002i−2i00002i−2i0000002-2000000000000
χ222-222-2-22-200002i2i−2i−2i22-2-200002i−2i0000−2i2i000000-22000000000000
χ232-222-2-22-200002i2i−2i−2i-2-2220000−2i2i002-20000002i−2i00000000000000
χ242-222-2-22-200002i2i−2i−2i-2-2220000−2i2i00-22000000−2i2i00000000000000
χ252-222-2-22-20000−2i−2i2i2i22-2-20000−2i2i00002i−2i000000-22000000000000
χ262-222-2-22-20000−2i−2i2i2i22-2-20000−2i2i0000−2i2i0000002-2000000000000
χ272-222-2-22-20000−2i−2i2i2i-2-22200002i−2i002-2000000−2i2i00000000000000
χ282-222-2-22-20000−2i−2i2i2i-2-22200002i−2i00-220000002i−2i00000000000000
χ292-22-22-2-222i2i−2i−2i00002-22-22i−2i0000000000002i−2i0000002-200000000
χ302-22-22-2-222i2i−2i−2i00002-22-22i−2i000000000000−2i2i000000-2200000000
χ312-22-22-2-222i2i−2i−2i0000-22-22−2i2i00000000002-20000002i−2i0000000000
χ322-22-22-2-222i2i−2i−2i0000-22-22−2i2i0000000000-22000000−2i2i0000000000
χ332-22-22-2-22−2i−2i2i2i00002-22-2−2i2i0000000000002i−2i000000-2200000000
χ342-22-22-2-22−2i−2i2i2i00002-22-2−2i2i000000000000−2i2i0000002-200000000
χ352-22-22-2-22−2i−2i2i2i0000-22-222i−2i00000000002-2000000−2i2i0000000000
χ362-22-22-2-22−2i−2i2i2i0000-22-222i−2i0000000000-220000002i−2i0000000000
χ372-2-2-2222-22i−2i2i−2i2-22-20000002i−2i000000000000000000002−2i2−i22−2i2−i2
χ382-2-2-2222-22i−2i2i−2i2-22-20000002i−2i00000000000000000000−22−i2i2−22−i2i2
χ392-2-2-2222-22i−2i2i−2i-22-22000000−2i2i000000000000000000002−2i2−i2−22−i2i2
χ402-2-2-2222-22i−2i2i−2i-22-22000000−2i2i00000000000000000000−22−i2i22−2i2−i2
χ412-2-2-2222-2−2i2i−2i2i2-22-2000000−2i2i000000000000000000002−2−i2i22−2−i2i2
χ422-2-2-2222-2−2i2i−2i2i2-22-2000000−2i2i00000000000000000000−22i2−i2−22i2−i2
χ432-2-2-2222-2−2i2i−2i2i-22-220000002i−2i000000000000000000002−2−i2i2−22i2−i2
χ442-2-2-2222-2−2i2i−2i2i-22-220000002i−2i00000000000000000000−22i2−i22−2−i2i2
χ45444-4-44-4-4000000004-4-4400000000000000000000000000000000
χ46444-4-44-4-400000000-444-400000000000000000000000000000000
χ4744-444-4-4-44-4-440000000000000000000000000000000000000000
χ4844-444-4-4-4-444-40000000000000000000000000000000000000000
χ4944-4-4-4-44400004i−4i−4i4i000000000000000000000000000000000000
χ5044-4-4-4-4440000−4i4i4i−4i000000000000000000000000000000000000
χ514-4-44-44-440000000000000000004i−4i000000000000000000000000
χ524-4-44-44-44000000000000000000−4i4i000000000000000000000000

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