Finite Group Databasebeta

← Group #24040

Character table — Group #24040

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444222244444488888888224444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-1111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-11-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-111
χ5111111111111111111-1-1-1-11111111111111111-1-1-111-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1111111-1-1
χ9111111111-1-1-1-1111-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1-111111-1-11-1
χ10111111111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-111111-1-111-11
χ11111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-111111-1-111-1-1-11
χ12111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-1-1-1111-1
χ13111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111-11
χ14111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111111-1-1-111-1-11-1
χ15111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-1-111-111-1-1111-1
χ16111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-11
χ1722222222-22222-2-2-2-2-222220000000000000000-20000-200000000
χ1822222222-22222-2-2-2-2-2-2-2-2-2000000000000000020000200000000
χ1922222222-2-2-2-2-2-2-2-22222-2-2000000000000000020000-200000000
χ2022222222-2-2-2-2-2-2-2-222-2-2220000000000000000-20000200000000
χ2122-22-2-22-202i2i−2i−2i000002-22i−2i000022−2−2i2i2−i2−i20000000000002−2i2−i200
χ2222-22-2-22-202i2i−2i−2i000002-22i−2i0000−2−222−i2−i2i2i2000000000000−22−i2i200
χ2322-22-2-22-202i2i−2i−2i00000-22−2i2i000022−2−2i2i2−i2−i2000000000000−22−i2i200
χ2422-22-2-22-202i2i−2i−2i00000-22−2i2i0000−2−222−i2−i2i2i20000000000002−2i2−i200
χ2522-22-2-22-20−2i−2i2i2i000002-2−2i2i000022−2−2−i2−i2i2i20000000000002−2−i2i200
χ2622-22-2-22-20−2i−2i2i2i000002-2−2i2i0000−2−222i2i2−i2−i2000000000000−22i2−i200
χ2722-22-2-22-20−2i−2i2i2i00000-222i−2i000022−2−2−i2−i2i2i2000000000000−22i2−i200
χ2822-22-2-22-20−2i−2i2i2i00000-222i−2i0000−2−222i2i2−i2−i20000000000002−2−i2i200
χ2922-2-22-2-22200002-2-200000022-2-200002i−2i2i−2i00000002i−2i000000000
χ3022-2-22-2-22200002-2-200000022-2-20000−2i2i−2i2i0000000−2i2i000000000
χ3122-2-22-2-22200002-2-2000000-2-22200002i−2i2i−2i0000000−2i2i000000000
χ3222-2-22-2-22200002-2-2000000-2-2220000−2i2i−2i2i00000002i−2i000000000
χ332-222-2-2-2220000-22-20000002-22-22i−2i2i−2i0000002i−2i00000000000000
χ342-222-2-2-2220000-22-20000002-22-2−2i2i−2i2i000000−2i2i00000000000000
χ352-222-2-2-2220000-22-2000000-22-222i−2i2i−2i000000−2i2i00000000000000
χ362-222-2-2-2220000-22-2000000-22-22−2i2i−2i2i0000002i−2i00000000000000
χ372-2-2-2-222222-22-2-2-222-200002-2-22000000002-20000000000000000
χ382-2-2-2-222222-22-2-2-222-20000-222-200000000-220000000000000000
χ392-2-2-2-22222-22-22-2-22-2200002-2-2200000000-220000000000000000
χ402-2-2-2-22222-22-22-2-22-220000-222-2000000002-20000000000000000
χ412-2-2-2-2222-22-22-222-2-220000000000000000000002-20002-2000000
χ422-2-2-2-2222-22-22-222-2-22000000000000000000000-22000-22000000
χ432-2-2-2-2222-2-22-2222-22-20000000000000000000002-2000-22000000
χ442-2-2-2-2222-2-22-2222-22-2000000000000000000000-220002-2000000
χ45444-4-44-4-4000000000000000000000022−22−2222000000000000000000
χ46444-4-44-4-40000000000000000000000−222222−22000000000000000000
χ4744-4-44-4-44-40000-444000000000000000000000000000000000000
χ484-444-4-4-44-400004-44000000000000000000000000000000000000
χ494-44-44-44-404i−4i−4i4i000000000000000000000000000000000000000
χ504-44-44-44-40−4i4i4i−4i000000000000000000000000000000000000000
χ514-4-4444-4-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ524-4-4444-4-4000000000000000000−2i22i22i2−2i20000000000000000000000

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