Finite Group Databasebeta

← Group #10049

Character table — Group #10049

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888844444444888888882244
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
χ922222222222-2-2-22-2-2-20000000022-2-20000000000000000
χ1022222222222-2-2-22-2-2-200000000-2-2220000000000000000
χ1122222222-2-2-2222-22-2-200000000000022-2-2000000000000
χ1222222222-2-2-2222-22-2-2000000000000-2-222000000000000
χ1322222222-2-2-2-2-2-2-2-222000000000000000000000000002-2
χ1422222222-2-2-2-2-2-2-2-22200000000000000000000000000-22
χ15222-2-2-22-20002-2-20200i2i2i2i2−i2−i2−i2−i200002-2000000i2i2−i2−i20000
χ16222-2-2-22-20002-2-20200i2i2i2i2−i2−i2−i2−i20000-22000000−i2−i2i2i20000
χ17222-2-2-22-20002-2-20200−i2−i2−i2−i2i2i2i2i200002-2000000−i2−i2i2i20000
χ18222-2-2-22-20002-2-20200−i2−i2−i2−i2i2i2i2i20000-22000000i2i2−i2−i20000
χ1922-222-2-2-22-2-20002000i2i2−i2−i2i2i2−i2−i2002-20000i2i2−i2−i200000000
χ2022-222-2-2-22-2-20002000i2i2−i2−i2i2i2−i2−i200-220000−i2−i2i2i200000000
χ2122-222-2-2-22-2-20002000−i2−i2i2i2−i2−i2i2i2002-20000−i2−i2i2i200000000
χ2222-222-2-2-22-2-20002000−i2−i2i2i2−i2−i2i2i200-220000i2i2−i2−i200000000
χ232-222-22-2-2-22-20002000i2−i2i2−i2i2−i2i2−i22-2000000i2−i2i2−i200000000
χ242-222-22-2-2-22-20002000i2−i2i2−i2i2−i2i2−i2-22000000−i2i2−i2i200000000
χ252-222-22-2-2-22-20002000−i2i2−i2i2−i2i2−i2i22-2000000−i2i2−i2i200000000
χ262-222-22-2-2-22-20002000−i2i2−i2i2−i2i2−i2i2-22000000i2−i2i2−i200000000
χ272-2-22-2-22222-222-2-2-22-2000000000000000000002i−2i2i−2i0000
χ282-2-22-2-22222-222-2-2-22-200000000000000000000−2i2i−2i2i0000
χ292-2-22-2-22222-2-2-22-22-220000000000000000000000002-200
χ302-2-22-2-22222-2-2-22-22-22000000000000000000000000-2200
χ312-2-22-2-222-2-2222-22-2-222-2-222-2-2200000000000000000000
χ322-2-22-2-222-2-2222-22-2-22-222-2-222-200000000000000000000
χ332-2-22-2-222-2-22-2-22222-200000000000000002-2-2200000000
χ342-2-22-2-222-2-22-2-22222-20000000000000000-222-200000000
χ352-2-2-2222-20002-220-200i2−i2−i2i2−i2i2i2−i20000002i−2i00002−2−220000
χ362-2-2-2222-20002-220-200i2−i2−i2i2−i2i2i2−i2000000−2i2i0000−222−20000
χ372-2-2-2222-20002-220-200−i2i2i2−i2i2−i2−i2i20000002i−2i0000−222−20000
χ382-2-2-2222-20002-220-200−i2i2i2−i2i2−i2−i2i2000000−2i2i00002−2−220000
χ39444-4-4-44-4000-4440-4000000000000000000000000000000
χ4044-444-4-4-4-444000-40000000000000000000000000000000
χ4144-4-4-44-44000000000022-2-2-2-22200000000000000000000
χ4244-4-4-44-440000000000-2-22222-2-200000000000000000000
χ434-444-44-4-44-44000-40000000000000000000000000000000
χ444-44-44-4-4400000000002-22-2-22-2200000000000000000000
χ454-44-44-4-440000000000-22-222-22-200000000000000000000
χ464-4-4-4444-4000-44-404000000000000000000000000000000

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