Finite Group Databasebeta

← Group #17283

Character table — Group #17283

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111111111111888888888888888888888888888888
order1222222222222222224444444444444444444444444444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1
χ91111111111111111-1-111-1-111-1-1111111-1-111-1-1-1-1-1-111-1-1
χ101111111111111111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-111
χ111111111111111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111
χ121111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ131111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111
χ141111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ151111111111111111-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1
χ161111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111
χ172222-2222-2-2-2-2-2-2-2200000000002i−2i2i−2i00002-20000000000
χ182222-2222-2-2-2-2-2-2-2200000000002i−2i−2i2i0000-220000000000
χ192222-2222-2-2-2-2-2-2-220000000000−2i2i2i−2i0000-220000000000
χ202222-2222-2-2-2-2-2-2-220000000000−2i2i−2i2i00002-20000000000
χ21222-2-22-2-2222-2-2-22-200002-2000000000000000000002i−2i2i−2i
χ22222-2-22-2-2222-2-2-22-200002-200000000000000000000−2i2i−2i2i
χ23222-2-22-2-2222-2-2-22-20000-22000000000000000000002i−2i−2i2i
χ24222-2-22-2-2222-2-2-22-20000-2200000000000000000000−2i2i2i−2i
χ2522-22-2-22-22-2-222-22-2002i−2i00002i−2i00000000002-200000000
χ2622-22-2-22-22-2-222-22-2002i−2i0000−2i2i0000000000-2200000000
χ2722-22-2-22-22-2-222-22-200−2i2i00002i−2i0000000000-2200000000
χ2822-22-2-22-22-2-222-22-200−2i2i0000−2i2i00000000002-200000000
χ292-222-2-2-22-22-22-222-22-20000000000002i−2i000000002i−2i0000
χ302-222-2-2-22-22-22-222-22-2000000000000−2i2i00000000−2i2i0000
χ312-222-2-2-22-22-22-222-2-220000000000002i−2i00000000−2i2i0000
χ322-222-2-2-22-22-22-222-2-22000000000000−2i2i000000002i−2i0000
χ332-2-2-2222222-22-2-2-2-20000002-2000000002i−2i00002i−2i000000
χ342-2-2-2222222-22-2-2-2-20000002-200000000−2i2i0000−2i2i000000
χ352-2-2-2222222-22-2-2-2-2000000-22000000002i−2i0000−2i2i000000
χ362-2-2-2222222-22-2-2-2-2000000-2200000000−2i2i00002i−2i000000
χ37444-444-4-4-4-4-4444-4-4000000000000000000000000000000
χ3844-444-44-4-444-4-44-4-4000000000000000000000000000000
χ3944-4-44-4-444-4-4-4-4444000000000000000000000000000000
χ4044-4-4-4-4-44-44444-4-44000000000000000000000000000000
χ414-4444-4-444-44-44-4-4-4000000000000000000000000000000
χ424-44-44-44-4-44-4-44-444000000000000000000000000000000
χ434-44-4-4-44-44-444-44-44000000000000000000000000000000
χ444-4-4444-4-4-4-444-4-444000000000000000000000000000000
χ454-4-44-44-4-444-4-444-44000000000000000000000000000000
χ464-4-4-4-4444-4-44-4444-4000000000000000000000000000000

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