Finite Group Databasebeta

← Group #10355

Character table — Group #10355

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888844444444888888884444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ922222222222-2-2-22-2-2-200000000000022-2-2000000000000
χ1022222222222-2-2-22-2-2-2000000000000-2-222000000000000
χ1122222222-2-2-2222-22-2-20000000022-2-20000000000000000
χ1222222222-2-2-2222-22-2-200000000-2-2220000000000000000
χ1322222222-2-2-2-2-2-2-2-222000000000000000000000000002-2
χ1422222222-2-2-2-2-2-2-2-22200000000000000000000000000-22
χ15222-22-2-2-200022-20-2002222−2−2−2−22-200000022−2−200000000
χ16222-22-2-2-200022-20-2002222−2−2−2−2-22000000−2−22200000000
χ17222-22-2-2-200022-20-200−2−2−2−222222-2000000−2−22200000000
χ18222-22-2-2-200022-20-200−2−2−2−22222-2200000022−2−200000000
χ1922-22-2-2-222-2-20002000i2i2−i2−i2i2i2−i2−i200002i−2i00000022−2−20000
χ2022-22-2-2-222-2-20002000i2i2−i2−i2i2i2−i2−i20000−2i2i000000−2−2220000
χ2122-22-2-2-222-2-20002000−i2−i2i2i2−i2−i2i2i200002i−2i000000−2−2220000
χ2222-22-2-2-222-2-20002000−i2−i2i2i2−i2−i2i2i20000−2i2i00000022−2−20000
χ232-222-2-22-222-22-22-2-22-20000000000000000000000002-200
χ242-222-2-22-222-22-22-2-22-2000000000000000000000000-2200
χ252-222-2-22-222-2-22-2-22-2200000000000000002i−2i2i−2i00000000
χ262-222-2-22-222-2-22-2-22-220000000000000000−2i2i−2i2i00000000
χ272-222-2-22-2-2-222-222-2-22000000000000000000002i−2i2i−2i0000
χ282-222-2-22-2-2-222-222-2-2200000000000000000000−2i2i−2i2i0000
χ292-222-2-22-2-2-22-22-2222-22i−2i2i−2i2i−2i2i−2i00000000000000000000
χ302-222-2-22-2-2-22-22-2222-2−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ312-22-2-22-22000-2220-200i2−i2i2−i2−i2i2−i2i2002-20000i2−i2−i2i200000000
χ322-22-2-22-22000-2220-200i2−i2i2−i2−i2i2−i2i200-220000−i2i2i2−i200000000
χ332-22-2-22-22000-2220-200−i2i2−i2i2i2−i2i2−i2002-20000−i2i2i2−i200000000
χ342-22-2-22-22000-2220-200−i2i2−i2i2i2−i2i2−i200-220000i2−i2−i2i200000000
χ352-2-2222-2-2-22-200020002−2−222−2−220000002i−2i0000i2−i2−i2i20000
χ362-2-2222-2-2-22-200020002−2−222−2−22000000−2i2i0000−i2i2i2−i20000
χ372-2-2222-2-2-22-20002000−222−2−222−20000002i−2i0000−i2i2i2−i20000
χ382-2-2222-2-2-22-20002000−222−2−222−2000000−2i2i0000i2−i2−i2i20000
χ39444-44-4-4-4000-4-4404000000000000000000000000000000
χ4044-44-4-4-44-444000-40000000000000000000000000000000
χ4144-4-4-444-400000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ4244-4-4-444-40000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ434-44-4-44-440004-4-404000000000000000000000000000000
χ444-4-4444-4-44-44000-40000000000000000000000000000000
χ454-4-4-44-44400000000002-2-22-222-200000000000000000000
χ464-4-4-44-4440000000000-222-22-2-2200000000000000000000

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