Finite Group Databasebeta

← Group #28100

Character table — Group #28100

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442222444488888888222244444488884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11
χ511111111111111-1-111-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-11
χ611111111111111-1-111-1-111111111-1-111-1-1-1-111-1-1-1-1-111-1
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111
χ9111111111111-1-111-1-1111111-1-1-1-11111-1-11111-1-111-1-1-1-1
χ10111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ11111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-11-11
χ12111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-111-1
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ1722222222-2-2-2-22222-2-2-2-20000000000002-2000000000000
χ1822222222-2-2-2-222-2-2-2-222000000000000-22000000000000
χ1922222222-2-2-2-2-2-22222-2-2000000000000-22000000000000
χ2022222222-2-2-2-2-2-2-2-222220000000000002-2000000000000
χ2122-2-22-2-222-22-2000000002i2i−2i−2i0000002-200002i−2i00000000
χ2222-2-22-2-222-22-2000000002i2i−2i−2i000000-220000−2i2i00000000
χ2322-2-22-2-222-22-200000000−2i−2i2i2i0000002-20000−2i2i00000000
χ2422-2-22-2-222-22-200000000−2i−2i2i2i000000-2200002i−2i00000000
χ252-2222-2-2-2-222-2000000002i−2i2i−2i00002-200002i−2i0000000000
χ262-2222-2-2-2-222-2000000002i−2i2i−2i0000-220000−2i2i0000000000
χ272-2222-2-2-2-222-200000000−2i2i−2i2i00002-20000−2i2i0000000000
χ282-2222-2-2-2-222-200000000−2i2i−2i2i0000-2200002i−2i0000000000
χ292-2-2-2222-222-2-2002-2002-200002i2i−2i−2i00000000002i−2i000000
χ302-2-2-2222-222-2-2002-2002-20000−2i−2i2i2i0000000000−2i2i000000
χ312-2-2-2222-222-2-200-2200-2200002i2i−2i−2i0000000000−2i2i000000
χ322-2-2-2222-222-2-200-2200-220000−2i−2i2i2i00000000002i−2i000000
χ332-2-2-2222-2-2-222002-200-222-2-2200000000000000002-20000
χ342-2-2-2222-2-2-222002-200-22-222-20000000000000000-220000
χ352-2-2-2222-2-2-22200-22002-22-2-220000000000000000-220000
χ362-2-2-2222-2-2-22200-22002-2-222-200000000000000002-20000
χ37444-4-44-4-400000000000000002i2−2i22i2−2i2000000000000000000
χ38444-4-44-4-40000000000000000−2i22i2−2i22i2000000000000000000
χ3944-44-4-44-4000000004i−4i0000000000000000000000000000
χ4044-44-4-44-400000000−4i4i0000000000000000000000000000
χ4144-4-44-4-44-44-440000000000000000000000000000000000
χ424-4444-4-4-44-4-440000000000000000000000000000000000
χ434-44-4-4-44400004-400000000000000000000000000000000
χ444-44-4-4-4440000-4400000000000000000000000000000000
χ454-4-44-44-44000000000000000022−22−2222000000000000000000
χ464-4-44-44-440000000000000000−222222−22000000000000000000

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