Finite Group Databasebeta

← Group #17152

Character table — Group #17152

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111111111111888888888888888888888888888888
order1222222222222222224444444444444444444444444444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ5111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ8111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111
χ91111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111
χ121111111111111111-1-111-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1
χ131111111111111111-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1111111
χ151111111111111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111
χ161111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1
χ1722222-2-22-2-2-2-22-2-22002i−2i0000000000000000002i−2i00002-2
χ1822222-2-22-2-2-2-22-2-22002i−2i000000000000000000−2i2i0000-22
χ1922222-2-22-2-2-2-22-2-2200−2i2i0000000000000000002i−2i0000-22
χ2022222-2-22-2-2-2-22-2-2200−2i2i000000000000000000−2i2i00002-2
χ21222-2-22-222-2-2-2-222-22-20000002i−2i0000002i−2i000000000000
χ22222-2-22-222-2-2-2-222-22-2000000−2i2i000000−2i2i000000000000
χ23222-2-22-222-2-2-2-222-2-220000002i−2i000000−2i2i000000000000
χ24222-2-22-222-2-2-2-222-2-22000000−2i2i0000002i−2i000000000000
χ2522-22-22-2-2222-2-2-2-2200002i−2i000000000000002i−2i00002-200
χ2622-22-22-2-2222-2-2-2-2200002i−2i00000000000000−2i2i0000-2200
χ2722-22-22-2-2222-2-2-2-220000−2i2i000000000000002i−2i0000-2200
χ2822-22-22-2-2222-2-2-2-220000−2i2i00000000000000−2i2i00002-200
χ292-22-2-2-2-2-222-2222-2200000000002-20000002-200002-20000
χ302-22-2-2-2-2-222-2222-2200000000002-2000000-220000-220000
χ312-22-2-2-2-2-222-2222-220000000000-220000002-20000-220000
χ322-22-2-2-2-2-222-2222-220000000000-22000000-2200002-20000
χ332-2-22-2222-22-2-222-2-20000002i−2i00002i−2i2-200000000000000
χ342-2-22-2222-22-2-222-2-20000002i−2i0000−2i2i-2200000000000000
χ352-2-22-2222-22-2-222-2-2000000−2i2i00002i−2i-2200000000000000
χ362-2-22-2222-22-2-222-2-2000000−2i2i0000−2i2i2-200000000000000
χ37444-4-4-444-4444-4-4-4-4000000000000000000000000000000
χ3844-44-4-44-4-4-4-44-4444000000000000000000000000000000
χ3944-4-4444-44-4-444-4-4-4000000000000000000000000000000
χ4044-4-44-4-4-4-444-4444-4000000000000000000000000000000
χ414-44444-4-4-44-44-4-44-4000000000000000000000000000000
χ424-4444-44-44-44-4-44-4-4000000000000000000000000000000
χ434-44-4-444-4-4-44-44-444000000000000000000000000000000
χ444-4-44-4-4-444-4444-44-4000000000000000000000000000000
χ454-4-4-444-44-4-444-44-44000000000000000000000000000000
χ464-4-4-44-44444-4-4-4-444000000000000000000000000000000

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