Finite Group Databasebeta

← Group #17088

Character table — Group #17088

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111111111111888888888888888888888888888888
order1222222222222222222222444444444444444444444444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ5111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111
χ6111111111111111111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1
χ7111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ91111111111111111-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-111
χ101111111111111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1
χ111111111111111111-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1
χ121111111111111111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111
χ131111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ141111111111111111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-111
χ1722222-2-2-222-2-2-22-2-20000000000002i−2i00002-20000002i−2i00
χ1822222-2-2-222-2-2-22-2-20000000000002i−2i0000-22000000−2i2i00
χ1922222-2-2-222-2-2-22-2-2000000000000−2i2i00002-2000000−2i2i00
χ2022222-2-2-222-2-2-22-2-2000000000000−2i2i0000-220000002i−2i00
χ21222-2-222-22-22-2-2-22-2000000000000002i−2i2-200000000002i−2i
χ22222-2-222-22-22-2-2-22-2000000000000002i−2i-220000000000−2i2i
χ23222-2-222-22-22-2-2-22-200000000000000−2i2i2-20000000000−2i2i
χ24222-2-222-22-22-2-2-22-200000000000000−2i2i-2200000000002i−2i
χ2522-22-2-2-2-2-2222-2-222002-200002-200000000002-200000000
χ2622-22-2-2-2-2-2222-2-222002-20000-220000000000-2200000000
χ2722-22-2-2-2-2-2222-2-22200-2200002-20000000000-2200000000
χ2822-22-2-2-2-2-2222-2-22200-220000-2200000000002-200000000
χ292-22-2-22-2-2-222-222-2200002-200002-200000000002-2000000
χ302-22-2-22-2-2-222-222-2200002-20000-220000000000-22000000
χ312-22-2-22-2-2-222-222-220000-2200002-20000000000-22000000
χ322-22-2-22-2-2-222-222-220000-220000-2200000000002-2000000
χ332-2-22-22-222-2-2-2-22222-200002-200000000000000002-20000
χ342-2-22-22-222-2-2-2-22222-20000-220000000000000000-220000
χ352-2-22-22-222-2-2-2-2222-2200002-20000000000000000-220000
χ362-2-22-22-222-2-2-2-2222-220000-2200000000000000002-20000
χ37444-4-4-4-444-4-444-4-44000000000000000000000000000000
χ3844-44-4444-44-4-44-4-4-4000000000000000000000000000000
χ3944-4-4444-4-4-4-44-44-44000000000000000000000000000000
χ4044-4-44-4-44-4-44-4444-4000000000000000000000000000000
χ414-44444-44-4-444-4-4-4-4000000000000000000000000000000
χ424-4444-44-4-4-4-4-44-444000000000000000000000000000000
χ434-44-4-4-444-44-44-444-4000000000000000000000000000000
χ444-4-44-4-44-44-44444-4-4000000000000000000000000000000
χ454-4-4-444-4-444-444-44-4000000000000000000000000000000
χ464-4-4-44-444444-4-4-4-44000000000000000000000000000000

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