Finite Group Databasebeta

← Group #30595

Character table — Group #30595

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888222244444488884444
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
χ511111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-11-1
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-11
χ9111111111111-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-11-1-1-1
χ10111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1111
χ11111111111111-1-111-1-1-1-1-1-1-1-1111111-1-11-11111-1-111-1-1-11
χ12111111111111-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-111111-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-11111-11-1-111-1-111-11-1-1
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111-111
χ15111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-1-1-111-1-111-11
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-11111111-1-1-1-11-1
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
χ212-22-222-2-20000002-22i−2i2i−2i22−2−2i2i2−i2−i200000000002−2i2−i20000
χ222-22-222-2-20000002-22i−2i2i−2i−2−222−i2−i2i2i20000000000−22−i2i20000
χ232-22-222-2-20000002-2−2i2i−2i2i22−2−2−i2−i2i2i200000000002−2−i2i20000
χ242-22-222-2-20000002-2−2i2i−2i2i−2−222i2i2−i2−i20000000000−22i2−i20000
χ252-22-222-2-2000000-222i−2i−2i2i22−2−2i2i2−i2−i20000000000−22−i2i20000
χ262-22-222-2-2000000-222i−2i−2i2i−2−222−i2−i2i2i200000000002−2i2−i20000
χ272-22-222-2-2000000-22−2i2i2i−2i22−2−2−i2−i2i2i20000000000−22i2−i20000
χ282-22-222-2-2000000-22−2i2i2i−2i−2−222i2i2−i2−i200000000002−2−i2i20000
χ292-22-2-2-2222-2-22000000002-22-200002-22-200000000000000
χ302-22-2-2-2222-2-22000000002-22-20000-22-2200000000000000
χ312-22-2-2-2222-2-2200000000-22-2200002-2-2200000000000000
χ322-22-2-2-2222-2-2200000000-22-220000-222-200000000000000
χ332-2-22-222-22-22-20000000000002i−2i2i−2i0000002-22i−2i00000000
χ342-2-22-222-22-22-20000000000002i−2i2i−2i000000-22−2i2i00000000
χ352-2-22-222-22-22-2000000000000−2i2i−2i2i0000002-2−2i2i00000000
χ362-2-22-222-22-22-2000000000000−2i2i−2i2i000000-222i−2i00000000
χ374444-4-4-4-400000000000022−22−22220000000000000000000000
χ384444-4-4-4-4000000000000−222222−220000000000000000000000
χ3944-4-44-44-444-4-40000000000000000000000000000000000
χ4044-4-44-44-4-4-4440000000000000000000000000000000000
χ4144-4-4-44-44000000000000000022−22−2222000000000000000000
χ4244-4-4-44-440000000000000000−222222−22000000000000000000
χ434-44-4-4-444-444-40000000000000000000000000000000000
χ444-4-444-4-4400004-400000000000000000000000000000000
χ454-4-444-4-440000-4400000000000000000000000000000000
χ464-4-44-444-4-44-440000000000000000000000000000000000

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