Finite Group Databasebeta

← Group #26049

Character table — Group #26049

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444222244444488888888444444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-111111111111111-1-1-1-11-1-11-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-1-11-1-111-1-1-1-111
χ71111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111111111-1-1
χ91111111111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1111-1-1-1-111-1-1-11
χ101111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-1111-1
χ111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-11-1-1-111-1-1-1-1111-1
χ121111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-11
χ131111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-11111111-1-11-1
χ141111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1111-1-1-1-111-11
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-111-1-111-11
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-111-1-11-1
χ1722222222-2-22222-2-20000-2-22222000000000000-200-20000000000
χ1822222222-2-22222-2-20000-2-2-2-2-2-200000000000020020000000000
χ1922222222-2-2-2-2-2-2-2-200002222-2-2000000000000200-20000000000
χ2022222222-2-2-2-2-2-2-2-2000022-2-222000000000000-20020000000000
χ21222-22-2-2-22-200002-222-2-200000022-2-200002-20000000000000000
χ22222-22-2-2-22-200002-222-2-2000000-2-2220000-220000000000000000
χ23222-22-2-2-22-200002-2-2-22200000022-2-20000-220000000000000000
χ24222-22-2-2-22-200002-2-2-222000000-2-22200002-20000000000000000
χ2522-22-2-2-22002i2i−2i−2i000000002i−2i2-2i2−i2i2−i222−2−20000000000002−2i2−i200
χ2622-22-2-2-22002i2i−2i−2i000000002i−2i2-2−i2i2−i2i2−2−222000000000000−22−i2i200
χ2722-22-2-2-22002i2i−2i−2i00000000−2i2i-22i2−i2i2−i222−2−2000000000000−22−i2i200
χ2822-22-2-2-22002i2i−2i−2i00000000−2i2i-22−i2i2−i2i2−2−2220000000000002−2i2−i200
χ2922-22-2-2-2200−2i−2i2i2i000000002i−2i-22i2−i2i2−i2−2−2220000000000002−2−i2i200
χ3022-22-2-2-2200−2i−2i2i2i000000002i−2i-22−i2i2−i2i222−2−2000000000000−22i2−i200
χ3122-22-2-2-2200−2i−2i2i2i00000000−2i2i2-2i2−i2i2−i2−2−222000000000000−22i2−i200
χ3222-22-2-2-2200−2i−2i2i2i00000000−2i2i2-2−i2i2−i2i222−2−20000000000002−2−i2i200
χ332-222-22-2-2222-22-2-2-22-22-22-2000000000000002-200000000000000
χ342-222-22-2-2222-22-2-2-2-22-222-200000000000000-2200000000000000
χ352-222-22-2-222-22-22-2-22-22-2-2200000000000000-2200000000000000
χ362-222-22-2-222-22-22-2-2-22-22-22000000000000002-200000000000000
χ372-222-22-2-2-2-22-22-2220000-22000000000000000002i−2i02i−2i00000000
χ382-222-22-2-2-2-22-22-2220000-2200000000000000000−2i2i0−2i2i00000000
χ392-222-22-2-2-2-2-22-222200002-2000000000000000002i−2i0−2i2i00000000
χ402-222-22-2-2-2-2-22-222200002-200000000000000000−2i2i02i−2i00000000
χ412-22-2-2-2222-20000-222-2-2200000000002-22-200000000002-2000000
χ422-22-2-2-2222-20000-222-2-220000000000-22-220000000000-22000000
χ432-22-2-2-2222-20000-22-222-200000000002-22-20000000000-22000000
χ442-22-2-2-2222-20000-22-222-20000000000-22-2200000000002-2000000
χ45444-44-4-4-4-440000-44000000000000000000000000000000000000
χ4644-4-4-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ4744-4-4-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ484-44-4-4-444-4400004-4000000000000000000000000000000000000
χ494-4-444-44-4004i−4i−4i4i00000000000000000000000000000000000000
χ504-4-444-44-400−4i4i4i−4i00000000000000000000000000000000000000
χ514-4-4-444-44000000000000000000000022−22−2222000000000000000000
χ524-4-4-444-440000000000000000000000−222222−22000000000000000000

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