Finite Group Databasebeta

← Group #28972

Character table — Group #28972

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888444444444488884444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11-11-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-11-11
χ511111111111111-1-111-1-111111111-11111-1-1-1-1-1-1-1-1-11-1-11
χ611111111111111-1-111-1-111111111-1-1-1-1-111-111-1-1-1-1-111-1
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-1
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111
χ9111111111111-1-111-1-1111111-1-1-1-1-1111111-111-1-111-1-1-1-1
χ10111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ11111111111111-1-111-1-111-1-1-1-11111-111-1-1-1-1-11111-1-1-11-11
χ12111111111111-1-111-1-111-1-1-1-11111-1-1-11111-1-1-111-1-11-11-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-111-1-1-111-1
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-11-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1111-1-11111-1-1
χ1722222222-2-2-2-22222-2-2-2-2000000002000000-20000000000
χ1822222222-2-2-2-222-2-2-2-22200000000-200000020000000000
χ1922222222-2-2-2-2-2-22222-2-200000000-200000020000000000
χ2022222222-2-2-2-2-2-2-2-22222000000002000000-20000000000
χ2122-222-2-2-222-2-20000000022-2-2000002-22-20000000000000
χ2222-222-2-2-222-2-20000000022-2-200000-22-220000000000000
χ2322-222-2-2-222-2-200000000-2-222000002-2-220000000000000
χ2422-222-2-2-222-2-200000000-2-22200000-222-20000000000000
χ252-22-22-2-222-2-22002i−2i002i−2i2i−2i2i−2i00000000000000002-20000
χ262-22-22-2-222-2-22002i−2i002i−2i−2i2i−2i2i0000000000000000-220000
χ272-22-22-2-222-2-2200−2i2i00−2i2i2i−2i2i−2i0000000000000000-220000
χ282-22-22-2-222-2-2200−2i2i00−2i2i−2i2i−2i2i00000000000000002-20000
χ292-22-22-2-22-222-2002i−2i00−2i2i00002i2i−2i−2i00000000002-2000000
χ302-22-22-2-22-222-2002i−2i00−2i2i0000−2i−2i2i2i0000000000-22000000
χ312-22-22-2-22-222-200−2i2i002i−2i00002i2i−2i−2i0000000000-22000000
χ322-22-22-2-22-222-200−2i2i002i−2i0000−2i−2i2i2i00000000002-2000000
χ332-2-2-2222-22-22-2000000002i−2i−2i2i0000000002-202i−2i00000000
χ342-2-2-2222-22-22-2000000002i−2i−2i2i000000000-220−2i2i00000000
χ352-2-2-2222-22-22-200000000−2i2i2i−2i0000000002-20−2i2i00000000
χ362-2-2-2222-22-22-200000000−2i2i2i−2i000000000-2202i−2i00000000
χ37444-4-4-44-4000000004-40000000000000000000000000000
χ38444-4-4-44-400000000-440000000000000000000000000000
χ3944-444-4-4-4-4-4440000000000000000000000000000000000
χ4044-4-4-44-4400000000000000002i2−2i22i2−2i2000000000000000000
χ4144-4-4-44-440000000000000000−2i22i2−2i22i2000000000000000000
χ424-444-44-4-400004-400000000000000000000000000000000
χ434-444-44-4-40000-4400000000000000000000000000000000
χ444-4-44-4-444000000000000000022−22−2222000000000000000000
χ454-4-44-4-4440000000000000000−222222−22000000000000000000
χ464-4-4-4444-4-44-440000000000000000000000000000000000

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