Finite Group Databasebeta

← Group #10593

Character table — Group #10593

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888844448888888888884444
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
χ922222222222-2-2-2-22-2-20000000022-2-20000000000000000
χ1022222222222-2-2-2-22-2-200000000-2-2220000000000000000
χ1122222222-2-2-22222-2-2-22222-2-2-2-200000000000000000000
χ1222222222-2-2-22222-2-2-2-2-2-2-2222200000000000000000000
χ1322222222-2-2-2-2-2-2-2-2220000000000002i2i−2i−2i000000000000
χ1422222222-2-2-2-2-2-2-2-222000000000000−2i−2i2i2i000000000000
χ152222-2-2-2-20002-22-200022-2-200000000000022−2−222−2−20000
χ162222-2-2-2-20002-22-200022-2-2000000000000−2−222−2−2220000
χ172222-2-2-2-20002-22-2000-2-22200000000000022−2−2−2−2220000
χ182222-2-2-2-20002-22-2000-2-222000000000000−2−22222−2−20000
χ1922-2-222-2-222-20000-2002−22−222−2−22-2002−22−2000000000000
χ2022-2-222-2-222-20000-2002−22−222−2−2-2200−22−22000000000000
χ2122-2-222-2-222-20000-200−22−22−2−2222-200−22−22000000000000
χ2222-2-222-2-222-20000-200−22−22−2−222-22002−22−2000000000000
χ2322-2-222-2-2-2-2200002002−22−2−2−222002i−2ii2−i2−i2i2000000000000
χ2422-2-222-2-2-2-2200002002−22−2−2−22200−2i2i−i2i2i2−i2000000000000
χ2522-2-222-2-2-2-220000200−22−2222−2−2002i−2i−i2i2i2−i2000000000000
χ2622-2-222-2-2-2-220000200−22−2222−2−200−2i2ii2−i2−i2i2000000000000
χ272-2-222-22-22-2222-2-2-22-20000000000000000000000002-200
χ282-2-222-22-22-2222-2-2-22-2000000000000000000000000-2200
χ292-2-222-22-22-22-2-222-2-2200000000000000002i−2i2i−2i00000000
χ302-2-222-22-22-22-2-222-2-220000000000000000−2i2i−2i2i00000000
χ312-2-222-22-2-22-222-2-22-22000000000000000000000000002i−2i
χ322-2-222-22-2-22-222-2-22-2200000000000000000000000000−2i2i
χ332-2-222-22-2-22-2-2-22222-2000000000000000000002-22-20000
χ342-2-222-22-2-22-2-2-22222-200000000000000000000-22-220000
χ352-2-22-22-22000-222-200000002i−2i2i−2i00000000i2−i2−i2i22−2−220000
χ362-2-22-22-22000-222-200000002i−2i2i−2i00000000−i2i2i2−i2−222−20000
χ372-2-22-22-22000-222-20000000−2i2i−2i2i00000000i2−i2−i2i2−222−20000
χ382-2-22-22-22000-222-20000000−2i2i−2i2i00000000−i2i2i2−i22−2−220000
χ394444-4-4-4-4000-44-440000000000000000000000000000000
χ4044-4-4-4-444000000000022−22−2222000000000000000000000000
χ4144-4-4-4-4440000000000−222222−22000000000000000000000000
χ424-44-44-4-444-4-400004000000000000000000000000000000
χ434-44-44-4-44-4440000-4000000000000000000000000000000
χ444-44-4-444-4000000000000002i2−2i2−2i22i200000000000000000000
χ454-44-4-444-400000000000000−2i22i22i2−2i200000000000000000000
χ464-4-44-44-440004-4-440000000000000000000000000000000

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