Finite Group Databasebeta

← Group #25256

Character table — Group #25256

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888244444444488884444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-1
χ511111111111111-1-111-1-11111-1-1-1-1-11111-1-1-1-1-111-1-111-1-1
χ611111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111-1-111-1-1-1-1-1-11111-11111-11111-1-111-1-1-1-1
χ811111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ9111111111111-1-111-1-11111111111-111-1-1-111-1-1-1-1-1-11-11-1
χ10111111111111-1-111-1-11111111111-1-1-111-1-1-111-1-1-1-1-11-11
χ11111111111111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-111-1
χ12111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-111111-1-11
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-111-1-1111-1-11
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-111-111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-111-1-1-11-11
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-11111-1-11-11-1
χ1722222222-2-2-2-22222-2-2-2-200000000-200002000000000000
χ1822222222-2-2-2-222-2-2-2-2220000000020000-2000000000000
χ1922222222-2-2-2-2-2-22222-2-20000000020000-2000000000000
χ2022222222-2-2-2-2-2-2-2-2222200000000-200002000000000000
χ2122-22-2-22-22-2-2200000000000022-2-202i−2i0002i−2i0000000000
χ2222-22-2-22-22-2-2200000000000022-2-20−2i2i000−2i2i0000000000
χ2322-22-2-22-22-2-22000000000000-2-22202i−2i000−2i2i0000000000
χ2422-22-2-22-22-2-22000000000000-2-2220−2i2i0002i−2i0000000000
χ252-22-2-2-22222-2-22-2002-20000002i−2i2i−2i0000000000002i−2i0000
χ262-22-2-2-22222-2-22-2002-2000000−2i2i−2i2i000000000000−2i2i0000
χ272-22-2-2-22222-2-2-2200-220000002i−2i2i−2i000000000000−2i2i0000
χ282-22-2-2-22222-2-2-2200-22000000−2i2i−2i2i0000000000002i−2i0000
χ292-22-2-2-222-2-2222-200-220022-2-2000000000000002-2000000
χ302-22-2-2-222-2-2222-200-2200-2-22200000000000000-22000000
χ312-22-2-2-222-2-222-22002-20022-2-200000000000000-22000000
χ322-22-2-2-222-2-222-22002-200-2-222000000000000002-2000000
χ332-2-2-2222-22-22-20000000000002i−2i−2i2i0002-20002i−2i00000000
χ342-2-2-2222-22-22-20000000000002i−2i−2i2i000-22000−2i2i00000000
χ352-2-2-2222-22-22-2000000000000−2i2i2i−2i0002-2000−2i2i00000000
χ362-2-2-2222-22-22-2000000000000−2i2i2i−2i000-220002i−2i00000000
χ37444-4-44-4-400000000000022−2222−220000000000000000000000
χ38444-4-44-4-4000000000000−2222−22220000000000000000000000
χ3944-44-4-44-4-444-40000000000000000000000000000000000
χ4044-4-44-4-440000004i−4i000000000000000000000000000000
χ4144-4-44-4-44000000−4i4i000000000000000000000000000000
χ424-4444-4-4-400000000000022−22−22220000000000000000000000
χ434-4444-4-4-4000000000000−222222−220000000000000000000000
χ444-4-44-44-4400000000004-400000000000000000000000000
χ454-4-44-44-440000000000-4400000000000000000000000000
χ464-4-4-4444-4-44-440000000000000000000000000000000000

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