Finite Group Databasebeta

← Group #28046

Character table — Group #28046

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888444444444488882444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-111-1
χ511111111111111-1-111-1-111111111-111-1-1-1-1-111-1-1-1-111-1-1
χ611111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111-11-1
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11
χ9111111111111-1-111-1-1111111-1-1-1-1-111-1111111-1-111-1-1-1-1
χ10111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ11111111111111-1-111-1-111-1-1-1-11111-111-1-1-111-1-111-1-1-111-1
χ12111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-111-1-111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-11-11
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1111-11-1
χ1722222222-2-2-2-22222-2-2-2-200000000200-200000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000-200200000000000000
χ1922222222-2-2-2-2-2-22222-2-200000000-200200000000000000
χ2022222222-2-2-2-2-2-2-2-2222200000000200-200000000000000
χ21222-2-2-2-22-22-22000000002i2i−2i−2i000002i−2i000002-200000000
χ22222-2-2-2-22-22-22000000002i2i−2i−2i00000−2i2i00000-2200000000
χ23222-2-2-2-22-22-2200000000−2i−2i2i2i000002i−2i00000-2200000000
χ24222-2-2-2-22-22-2200000000−2i−2i2i2i00000−2i2i000002-200000000
χ252-222-22-2-2-2-222000000002-22-2000000002i−2i2i−2i0000000000
χ262-222-22-2-2-2-222000000002-22-200000000−2i2i−2i2i0000000000
χ272-222-22-2-2-2-22200000000-22-22000000002i−2i−2i2i0000000000
χ282-222-22-2-2-2-22200000000-22-2200000000−2i2i2i−2i0000000000
χ292-22-22-22-22-2-22002i−2i002i−2i2i−2i−2i2i00000000000000002-20000
χ302-22-22-22-22-2-22002i−2i002i−2i−2i2i2i−2i0000000000000000-220000
χ312-22-22-22-22-2-2200−2i2i00−2i2i2i−2i−2i2i0000000000000000-220000
χ322-22-22-22-22-2-2200−2i2i00−2i2i−2i2i2i−2i00000000000000002-20000
χ332-22-22-22-2-222-2002i−2i00−2i2i00002i2i−2i−2i00000000002-2000000
χ342-22-22-22-2-222-2002i−2i00−2i2i0000−2i−2i2i2i0000000000-22000000
χ352-22-22-22-2-222-200−2i2i002i−2i00002i2i−2i−2i0000000000-22000000
χ362-22-22-22-2-222-200−2i2i002i−2i0000−2i−2i2i2i00000000002-2000000
χ37444-4-4-4-444-44-40000000000000000000000000000000000
χ3844-444-4-4-400004-400000000000000000000000000000000
χ3944-444-4-4-40000-4400000000000000000000000000000000
χ4044-4-4-444-400000000000000002i2−2i22i2−2i2000000000000000000
χ4144-4-4-444-40000000000000000−2i22i2−2i22i2000000000000000000
χ424-444-44-4-444-4-40000000000000000000000000000000000
χ434-4-44-4-444000000000000000022−22−2222000000000000000000
χ444-4-44-4-4440000000000000000−222222−22000000000000000000
χ454-4-4-444-44000000004-40000000000000000000000000000
χ464-4-4-444-4400000000-440000000000000000000000000000

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