Finite Group Databasebeta

← Group #24765

Character table — Group #24765

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888444444444488882444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-111
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111111-1-11111-1-11111-1-1-1-1-111-1-1-111-1-111-1-11-11-1
χ10111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-11-11
χ11111111111111-1-11111-1-1-1-1-1-11111-111-1-1-111-1-1-1-111-11-11
χ12111111111111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111-11-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-11
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-111-111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-1-11-1-11
χ1722222222-2-2-2-22222-2-2-2-200000000-200200000000000000
χ1822222222-2-2-2-222-2-222-2-200000000200-200000000000000
χ1922222222-2-2-2-2-2-222-2-22200000000200-200000000000000
χ2022222222-2-2-2-2-2-2-2-2222200000000-200200000000000000
χ2122-2-2-2-22222-2-22-200002-20000000002i−2i02i−2i000000000000
χ2222-2-2-2-22222-2-22-200002-2000000000−2i2i0−2i2i000000000000
χ2322-2-2-2-22222-2-2-220000-220000000002i−2i0−2i2i000000000000
χ2422-2-2-2-22222-2-2-220000-22000000000−2i2i02i−2i000000000000
χ2522-2-2-2-222-2-2222-20000-22000000000000002-22-200000000
χ2622-2-2-2-222-2-2222-20000-2200000000000000-22-2200000000
χ2722-2-2-2-222-2-222-2200002-2000000000000002-2-2200000000
χ2822-2-2-2-222-2-222-2200002-200000000000000-222-200000000
χ292-2-22-222-22-22-2002-22-2002i2i−2i−2i000000000000002i−2i000000
χ302-2-22-222-22-22-2002-22-200−2i−2i2i2i00000000000000−2i2i000000
χ312-2-22-222-22-22-200-22-22002i2i−2i−2i00000000000000−2i2i000000
χ322-2-22-222-22-22-200-22-2200−2i−2i2i2i000000000000002i−2i000000
χ332-2-22-222-2-22-22002-2-2200000022-2-20000000000002-20000
χ342-2-22-222-2-22-22002-2-22000000-2-222000000000000-220000
χ352-2-22-222-2-22-2200-222-200000022-2-2000000000000-220000
χ362-2-22-222-2-22-2200-222-2000000-2-2220000000000002-20000
χ37444-4-44-4-4000000000000000022−2222−22000000000000000000
χ38444-4-44-4-40000000000000000−2222−2222000000000000000000
χ3944-444-4-4-400000000000022−2222−220000000000000000000000
χ4044-444-4-4-4000000000000−2222−22220000000000000000000000
χ414-444-4-4-440000000000002i2−2i2−2i22i20000000000000000000000
χ424-444-4-4-44000000000000−2i22i22i2−2i20000000000000000000000
χ434-44-44-44-44-4-440000000000000000000000000000000000
χ444-44-44-44-4-444-40000000000000000000000000000000000
χ454-4-4-444-44000000000000000022−22−2222000000000000000000
χ464-4-4-444-440000000000000000−222222−22000000000000000000

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