Finite Group Databasebeta

← Group #28627

Character table — Group #28627

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888222244444488882444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ9111111111111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11-11-1
χ10111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-11-11
χ11111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11-11
χ12111111111111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111-11-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-111-1
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-11-1-11
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-111-1
χ1722222222-2-2-2-22222-2-2-2-20000000000002-2000000000000
χ1822222222-2-2-2-222-2-222-2-2000000000000-22000000000000
χ1922222222-2-2-2-2-2-222-2-222000000000000-22000000000000
χ2022222222-2-2-2-2-2-2-2-222220000000000002-2000000000000
χ21222-22-2-2-22-22-2002i−2i2i−2i0000002i2i−2i−2i0000000000002-20000
χ22222-22-2-2-22-22-2002i−2i2i−2i000000−2i−2i2i2i000000000000-220000
χ23222-22-2-2-22-22-200−2i2i−2i2i0000002i2i−2i−2i000000000000-220000
χ24222-22-2-2-22-22-200−2i2i−2i2i000000−2i−2i2i2i0000000000002-20000
χ25222-22-2-2-2-22-22002i−2i−2i2i002i2i−2i−2i000000000000002-2000000
χ26222-22-2-2-2-22-22002i−2i−2i2i00−2i−2i2i2i00000000000000-22000000
χ27222-22-2-2-2-22-2200−2i2i2i−2i002i2i−2i−2i00000000000000-22000000
χ28222-22-2-2-2-22-2200−2i2i2i−2i00−2i−2i2i2i000000000000002-2000000
χ292-2-222-2-2222-2-22-200002-2000000000000002i−2i2i−2i00000000
χ302-2-222-2-2222-2-22-200002-200000000000000−2i2i−2i2i00000000
χ312-2-222-2-2222-2-2-220000-22000000000000002i−2i−2i2i00000000
χ322-2-222-2-2222-2-2-220000-2200000000000000−2i2i2i−2i00000000
χ332-2-222-2-22-2-2222-20000-22000000002-22-200000000000000
χ342-2-222-2-22-2-2222-20000-2200000000-22-2200000000000000
χ352-2-222-2-22-2-222-2200002-2000000002-2-2200000000000000
χ362-2-222-2-22-2-222-2200002-200000000-222-200000000000000
χ3744-44-44-4-400000000000000002i2−2i22i2−2i2000000000000000000
χ3844-44-44-4-40000000000000000−2i22i2−2i22i2000000000000000000
χ3944-4-4-4-444000000000000000022−22−2222000000000000000000
χ4044-4-4-4-4440000000000000000−222222−22000000000000000000
χ414-444-4-44-40000000000002i2−2i22i2−2i20000000000000000000000
χ424-444-4-44-4000000000000−2i22i2−2i22i20000000000000000000000
χ434-44-4-44-4400000000000022−22−22220000000000000000000000
χ444-44-4-44-44000000000000−222222−220000000000000000000000
χ454-4-4-4444-44-4-440000000000000000000000000000000000
χ464-4-4-4444-4-444-40000000000000000000000000000000000

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