Finite Group Databasebeta

← Group #24484

Character table — Group #24484

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444224444444488888888224444444444888824
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ5111111111111111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ91111111111-1-1-1-111-1-111-1-111111111-1-1-1-1111-1-1-111-1-1-1-111-1-1-11
χ101111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11-1-1-111-1-111-1-1111-1
χ111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-1111111-1-11-1
χ121111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1-111-11
χ131111111111-1-1-1-111-1-1-1-11111111111-1-1-1-111-11-1-1-1-111-1-1-1-1111-1
χ141111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-11-1-1-1-1111111-1-1-11
χ151111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-111-11
χ161111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-111111-1-1-1-111-1-11-1
χ1722222222-2-22222-2-2-2-2222200000000000000-2-200000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-2000000000000002200000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-200000000000000-2200000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-222000000000000002-200000000000000
χ2122-222-2-2-2002i2i−2i−2i00002i−2i2-20000i2i2−i2−i222−2−20000000000002−2i2−i200
χ2222-222-2-2-2002i2i−2i−2i00002i−2i2-20000−i2−i2i2i2−2−222000000000000−22−i2i200
χ2322-222-2-2-2002i2i−2i−2i0000−2i2i-220000i2i2−i2−i222−2−2000000000000−22−i2i200
χ2422-222-2-2-2002i2i−2i−2i0000−2i2i-220000−i2−i2i2i2−2−2220000000000002−2i2−i200
χ2522-222-2-2-200−2i−2i2i2i00002i−2i-220000i2i2−i2−i2−2−2220000000000002−2−i2i200
χ2622-222-2-2-200−2i−2i2i2i00002i−2i-220000−i2−i2i2i222−2−2000000000000−22i2−i200
χ2722-222-2-2-200−2i−2i2i2i0000−2i2i2-20000i2i2−i2−i2−2−222000000000000−22i2−i200
χ2822-222-2-2-200−2i−2i2i2i0000−2i2i2-20000−i2−i2i2i222−2−20000000000002−2−i2i200
χ2922-2-2-222-22-200002-20000002i2i−2i−2i00002i−2i2i−2i00000000002-2000000
χ3022-2-2-222-22-200002-20000002i2i−2i−2i0000−2i2i−2i2i0000000000-22000000
χ3122-2-2-222-22-200002-2000000−2i−2i2i2i00002i−2i2i−2i0000000000-22000000
χ3222-2-2-222-22-200002-2000000−2i−2i2i2i0000−2i2i−2i2i00000000002-2000000
χ332-22-22-22-2-2200002-20000002i−2i2i−2i2i−2i2i−2i00002-20000000000000000
χ342-22-22-22-2-2200002-20000002i−2i2i−2i−2i2i−2i2i0000-220000000000000000
χ352-22-22-22-2-2200002-2000000−2i2i−2i2i2i−2i2i−2i0000-220000000000000000
χ362-22-22-22-2-2200002-2000000−2i2i−2i2i−2i2i−2i2i00002-20000000000000000
χ372-2-22-2-222222-22-2-2-22-200000000000000000000002i−2i2i−2i00000000
χ382-2-22-2-222222-22-2-2-22-20000000000000000000000−2i2i−2i2i00000000
χ392-2-22-2-22222-22-22-2-2-2200000000000000000000002i−2i−2i2i00000000
χ402-2-22-2-22222-22-22-2-2-220000000000000000000000−2i2i2i−2i00000000
χ412-2-22-2-222-2-22-22-222-2200002-2-220000000000002-2000000000000
χ422-2-22-2-222-2-22-22-222-220000-222-2000000000000-22000000000000
χ432-2-22-2-222-2-2-22-22222-200002-2-22000000000000-22000000000000
χ442-2-22-2-222-2-2-22-22222-20000-222-20000000000002-2000000000000
χ45444-4-4-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ46444-4-4-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ4744-4-4-444-4-440000-44000000000000000000000000000000000000
χ484-444-44-4-4004i−4i−4i4i00000000000000000000000000000000000000
χ494-444-44-4-400−4i4i4i−4i00000000000000000000000000000000000000
χ504-44-44-44-44-40000-44000000000000000000000000000000000000
χ514-4-4-444-4400000000000000000022−22−22220000000000000000000000
χ524-4-4-444-44000000000000000000−222222−220000000000000000000000

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