Finite Group Databasebeta

← Group #10477

Character table — Group #10477

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888822448888888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222-2-2222-2-2-2-22222-2-2-2-200000000000000000000
χ10222222222-2-2222-2-2-2-2-2-2-2-2222200000000000000000000
χ1122222222-222-2-2-222-2-20000000022-2-20000000000000000
χ1222222222-222-2-2-222-2-200000000-2-2220000000000000000
χ1322222222-2-2-2-2-2-2-2-2220000000000002i2i−2i−2i000000000000
χ1422222222-2-2-2-2-2-2-2-222000000000000−2i−2i2i2i000000000000
χ15222-2-22-2-2-2002-220000000022-2-200000000i2i2−i2−i2i2i2−i2−i20000
χ16222-2-22-2-2-2002-220000000022-2-200000000−i2−i2i2i2−i2−i2i2i20000
χ17222-2-22-2-2-2002-2200000000-2-22200000000i2i2−i2−i2−i2−i2i2i20000
χ18222-2-22-2-2-2002-2200000000-2-22200000000−i2−i2i2i2i2i2−i2−i20000
χ1922-22-2-2-2202-20002-200i2i2−i2−i2i2−i2i2−i2002i−2i2−22−2000000000000
χ2022-22-2-2-2202-20002-200i2i2−i2−i2i2−i2i2−i200−2i2i−22−22000000000000
χ2122-22-2-2-2202-20002-200−i2−i2i2i2−i2i2−i2i2002i−2i−22−22000000000000
χ2222-22-2-2-2202-20002-200−i2−i2i2i2−i2i2−i2i200−2i2i2−22−2000000000000
χ2322-22-2-2-220-22000-2200i2i2−i2−i2−i2i2−i2i22-200i2−i2−i2i2000000000000
χ2422-22-2-2-220-22000-2200i2i2−i2−i2−i2i2−i2i2-2200−i2i2i2−i2000000000000
χ2522-22-2-2-220-22000-2200−i2−i2i2i2i2−i2i2−i22-200−i2i2i2−i2000000000000
χ2622-22-2-2-220-22000-2200−i2−i2i2i2i2−i2i2−i2-2200i2−i2−i2i2000000000000
χ272-2-22-222-22002-2-200002i−2i2i−2i0000000000002−22−2i2−i2i2−i20000
χ282-2-22-222-22002-2-200002i−2i2i−2i000000000000−22−22−i2i2−i2i20000
χ292-2-22-222-22002-2-20000−2i2i−2i2i0000000000002−22−2−i2i2−i2i20000
χ302-2-22-222-22002-2-20000−2i2i−2i2i000000000000−22−22i2−i2i2−i20000
χ312-2-2-222-22222-2-22-2-22-20000000000000000000000002i−2i00
χ322-2-2-222-22222-2-22-2-22-2000000000000000000000000−2i2i00
χ332-2-2-222-222-2-2-2-2222-22000000000000000000000000002-2
χ342-2-2-222-222-2-2-2-2222-2200000000000000000000000000-22
χ352-2-2-222-22-22222-2-2-2-2200000000000000002i−2i−2i2i00000000
χ362-2-2-222-22-22222-2-2-2-220000000000000000−2i2i2i−2i00000000
χ372-2-2-222-22-2-2-222-2222-2000000000000000000002-2-220000
χ382-2-2-222-22-2-2-222-2222-200000000000000000000-222-20000
χ39444-4-44-4-4400-44-400000000000000000000000000000000
χ4044-4-44-44-4000000000000002i2−2i2−2i22i200000000000000000000
χ4144-4-44-44-400000000000000−2i22i22i2−2i200000000000000000000
χ424-4444-4-4-4000000000022−22−2222000000000000000000000000
χ434-4444-4-4-40000000000−222222−22000000000000000000000000
χ444-44-4-4-44404-4000-44000000000000000000000000000000
χ454-44-4-4-4440-440004-4000000000000000000000000000000
χ464-4-44-444-4-400-44400000000000000000000000000000000

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