Finite Group Databasebeta

← Group #30739

Character table — Group #30739

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888222244444488884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-11
χ511111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-11
χ611111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11-11-1
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111
χ9111111111111-1-111-1-1-1-11111-1-1-1-111-1-11-11111-1-111-1-1-11
χ10111111111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-111111-1
χ11111111111111-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-11-1-1-1
χ12111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1111
χ13111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-1-1-111-1-11-111
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-11111111-1-1-11-1-1
χ15111111111111-1-1-1-1-1-111-1-1-1-111111111-11-1-111-1-111-1-11-1
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-11
χ1722222222-2-2-2-22222-2-2-2-2000000000000-22000000000000
χ1822222222-2-2-2-222-2-2-2-2220000000000002-2000000000000
χ1922222222-2-2-2-2-2-2222222000000000000-2-2000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-200000000000022000000000000
χ2122-22-2-2-2222-2-20000000022-2-200000000002i−2i2i−2i00000000
χ2222-22-2-2-2222-2-20000000022-2-20000000000−2i2i−2i2i00000000
χ2322-22-2-2-2222-2-200000000-2-22200000000002i−2i−2i2i00000000
χ2422-22-2-2-2222-2-200000000-2-2220000000000−2i2i2i−2i00000000
χ252-2-2222-2-20000002-22i−2i2i−2ii2−i2i2−i222−2−200000000002−2i2−i20000
χ262-2-2222-2-20000002-22i−2i2i−2i−i2i2−i2i2−2−2220000000000−22−i2i20000
χ272-2-2222-2-20000002-2−2i2i−2i2ii2−i2i2−i2−2−2220000000000−22i2−i20000
χ282-2-2222-2-20000002-2−2i2i−2i2i−i2i2−i2i222−2−200000000002−2−i2i20000
χ292-2-2222-2-2000000-222i−2i−2i2ii2−i2i2−i222−2−20000000000−22−i2i20000
χ302-2-2222-2-2000000-222i−2i−2i2i−i2i2−i2i2−2−22200000000002−2i2−i20000
χ312-2-2222-2-2000000-22−2i2i2i−2ii2−i2i2−i2−2−22200000000002−2−i2i20000
χ322-2-2222-2-2000000-22−2i2i2i−2i−i2i2−i2i222−2−20000000000−22i2−i20000
χ332-2-2-22-222-22-220000000000002-22-22-22-200000000000000
χ342-2-2-22-222-22-220000000000002-22-2-22-2200000000000000
χ352-2-2-22-222-22-22000000000000-22-222-2-2200000000000000
χ362-2-2-22-222-22-22000000000000-22-22-222-200000000000000
χ37444-44-4-4-4000000000000000022−22−2222000000000000000000
χ38444-44-4-4-40000000000000000−222222−22000000000000000000
χ3944-44-4-4-44-4-4440000000000000000000000000000000000
χ4044-4-4-444-400004i−4i00000000000000000000000000000000
χ4144-4-4-444-40000−4i4i00000000000000000000000000000000
χ424-444-4-44-40000000000002i2−2i2−2i22i20000000000000000000000
χ434-444-4-44-4000000000000−2i22i22i2−2i20000000000000000000000
χ444-44-4-44-444-4-440000000000000000000000000000000000
χ454-44-4-44-44-444-40000000000000000000000000000000000
χ464-4-4-44-4444-44-40000000000000000000000000000000000

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