Finite Group Databasebeta

← Group #29971

Character table — Group #29971

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444224444444444444444888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ121111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1
χ131111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ141111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-111-1
χ151111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11-1-11
χ1722222222-2-22222-2-2-2-222-2-2-2-22200000000000000000000
χ1822222222-2-22222-2-2-2-2-2-22222-2-200000000000000000000
χ1922222222-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000
χ212-2222-2-2-22222-2-2-2-22-2000000002-22-20000000000000000
χ222-2222-2-2-22222-2-2-2-22-200000000-22-220000000000000000
χ232-2222-2-2-222-2-222-2-2-22000000002-2-220000000000000000
χ242-2222-2-2-222-2-222-2-2-2200000000-222-20000000000000000
χ252-2222-2-2-2-2-222-2-222-220000000000002i−2i2i−2i000000000000
χ262-2222-2-2-2-2-222-2-222-22000000000000−2i2i−2i2i000000000000
χ272-2222-2-2-2-2-2-2-222222-20000000000002i−2i−2i2i000000000000
χ282-2222-2-2-2-2-2-2-222222-2000000000000−2i2i2i−2i000000000000
χ292-22-2-222-2002i−2i2i−2i00002-200002i−2i000000002−2i2−i22−2i2−i20000
χ302-22-2-222-2002i−2i2i−2i00002-200002i−2i00000000−22−i2i2−22−i2i20000
χ312-22-2-222-2002i−2i2i−2i0000-220000−2i2i000000002−2i2−i2−22−i2i20000
χ322-22-2-222-2002i−2i2i−2i0000-220000−2i2i00000000−22−i2i22−2i2−i20000
χ332-22-2-222-200−2i2i−2i2i00002-20000−2i2i000000002−2−i2i22−2−i2i20000
χ342-22-2-222-200−2i2i−2i2i00002-20000−2i2i00000000−22i2−i2−22i2−i20000
χ352-22-2-222-200−2i2i−2i2i0000-2200002i−2i000000002−2−i2i2−22i2−i20000
χ362-22-2-222-200−2i2i−2i2i0000-2200002i−2i00000000−22i2−i22−2−i2i20000
χ37444-4-4-4-44004i−4i−4i4i00000000000000000000000000000000
χ38444-4-4-4-4400−4i4i4i−4i00000000000000000000000000000000
χ3944-44-44-4-40000000000004-4000000000000000000000000
χ4044-44-44-4-4000000000000-44000000000000000000000000
χ4144-4-44-44-44-400004-4000000000000000000000000000000
χ4244-4-44-44-4-440000-44000000000000000000000000000000
χ434-4-44-4-444000000000000004-40000000000000000000000
χ444-4-44-4-44400000000000000-440000000000000000000000
χ454-4-4-444-444-40000-44000000000000000000000000000000
χ464-4-4-444-44-4400004-4000000000000000000000000000000

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