Finite Group Databasebeta

← Group #28112

Character table — Group #28112

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888244444444488884444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-11-11
χ511111111111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-111-1-1-11-11
χ611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1
χ711111111111111-1-1-1-111-1-1-1-11111-11111-11111-1-111-1-1-1-1
χ811111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ9111111111111-1-11111-1-111111111-111-1-1-111-1-1-1-1-1-11-1-11
χ10111111111111-1-11111-1-111111111-1-1-111-1-1-111-1-1-1-1-111-1
χ11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1
χ12111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-111
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-111-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-111-1-1-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-11111-1-11-1-11
χ1722222222-2-2-2-22222-2-2-2-20000000020000-2000000000000
χ1822222222-2-2-2-222-2-222-2-200000000-200002000000000000
χ1922222222-2-2-2-2-2-222-2-22200000000-200002000000000000
χ2022222222-2-2-2-2-2-2-2-222220000000020000-2000000000000
χ2122-2-2-2-2222-22-20000000000002i2i−2i−2i0002i−2i0002-200000000
χ2222-2-2-2-2222-22-20000000000002i2i−2i−2i000−2i2i000-2200000000
χ2322-2-2-2-2222-22-2000000000000−2i−2i2i2i0002i−2i000-2200000000
χ2422-2-2-2-2222-22-2000000000000−2i−2i2i2i000−2i2i0002-200000000
χ252-222-2-2-22-222-20000000000002i−2i2i−2i02i−2i0002-20000000000
χ262-222-2-2-22-222-20000000000002i−2i2i−2i0−2i2i000-220000000000
χ272-222-2-2-22-222-2000000000000−2i2i−2i2i02i−2i000-220000000000
χ282-222-2-2-22-222-2000000000000−2i2i−2i2i0−2i2i0002-20000000000
χ292-2-2-222-2222-2-22-200002-22i2i−2i−2i000000000000002i−2i000000
χ302-2-2-222-2222-2-22-200002-2−2i−2i2i2i00000000000000−2i2i000000
χ312-2-2-222-2222-2-2-220000-222i2i−2i−2i00000000000000−2i2i000000
χ322-2-2-222-2222-2-2-220000-22−2i−2i2i2i000000000000002i−2i000000
χ332-2-2-222-22-2-2222-20000-2200002-2-220000000000002-20000
χ342-2-2-222-22-2-2222-20000-220000-222-2000000000000-220000
χ352-2-2-222-22-2-222-2200002-200002-2-22000000000000-220000
χ362-2-2-222-22-2-222-2200002-20000-222-20000000000002-20000
χ37444-44-4-4-400000000000022−2222−220000000000000000000000
χ38444-44-4-4-4000000000000−2222−22220000000000000000000000
χ3944-44-44-4-40000004-4000000000000000000000000000000
χ4044-44-44-4-4000000-44000000000000000000000000000000
χ4144-4-4-4-444-44-440000000000000000000000000000000000
χ424-444-4-4-444-4-440000000000000000000000000000000000
χ434-44-4-444-4000000004i−4i0000000000000000000000000000
χ444-44-4-444-400000000−4i4i0000000000000000000000000000
χ454-4-444-44-40000000000002i2−2i2−2i22i20000000000000000000000
χ464-4-444-44-4000000000000−2i22i22i2−2i20000000000000000000000

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