Finite Group Databasebeta

← Group #32052

Character table — Group #32052

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888444444444488884444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-111
χ511111111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-11-1-1
χ611111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1111-111
χ711111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111-1-1-1111
χ811111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111-1-11-1-1-1
χ9111111111111-1-111-1-11111111111-111-1-1-111-1-1-1-1-1-11-1-11
χ10111111111111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-1-111-1
χ11111111111111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111-11-1
χ12111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-11
χ13111111111111-1-1-1-111-1-11111-1-1-1-1111-11111-1-111-1-1-1-11-1
χ14111111111111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-11111-1-111-11
χ15111111111111-1-1-1-111-1-1-1-1-1-11111111-111-1-111-1-111-1-1-11
χ16111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111111-1
χ1722222222-2-2-2-2222222-2-200000000-200-200000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000200-200000000000000
χ1922222222-2-2-2-2-2-222-2-2-2-200000000200200000000000000
χ2022222222-2-2-2-2-2-2-2-2222200000000-200200000000000000
χ212222-2-2-2-200002-22-22-20022−2−222−2−200000000002−22−20000
χ222222-2-2-2-200002-22-22-200−2−222−2−2220000000000−22−220000
χ232222-2-2-2-200002-2-22-220022−2−2−2−2220000000000−222−20000
χ242222-2-2-2-200002-2-22-2200−2−22222−2−200000000002−2−220000
χ252222-2-2-2-20000-222-2-220022−2−222−2−20000000000−22−220000
χ262222-2-2-2-20000-222-2-2200−2−222−2−22200000000002−22−20000
χ272222-2-2-2-20000-22-222-20022−2−2−2−22200000000002−2−220000
χ282222-2-2-2-20000-22-222-200−2−22222−2−20000000000−222−20000
χ292-22-22-22-2-22-220000000000002-22-200002i−2i002i−2i00000000
χ302-22-22-22-2-22-220000000000002-22-20000−2i2i00−2i2i00000000
χ312-22-22-22-2-22-22000000000000-22-2200002i−2i00−2i2i00000000
χ322-22-22-22-2-22-22000000000000-22-220000−2i2i002i−2i00000000
χ332-2-22-222-222-2-2000000002i−2i2i−2i000002-20002i−2i0000000000
χ342-2-22-222-222-2-2000000002i−2i2i−2i00000-22000−2i2i0000000000
χ352-2-22-222-222-2-200000000−2i2i−2i2i000002-2000−2i2i0000000000
χ362-2-22-222-222-2-200000000−2i2i−2i2i00000-220002i−2i0000000000
χ3744-4-444-4-400000000004-400000000000000000000000000
χ3844-4-444-4-40000000000-4400000000000000000000000000
χ3944-4-4-4-4444-4-440000000000000000000000000000000000
χ4044-4-4-4-444-444-40000000000000000000000000000000000
χ414-44-44-44-44-44-40000000000000000000000000000000000
χ424-44-4-44-44000000000000000022−22−2222000000000000000000
χ434-44-4-44-440000000000000000−222222−22000000000000000000
χ444-4-444-4-440000000000002i2−2i2−2i22i20000000000000000000000
χ454-4-444-4-44000000000000−2i22i22i2−2i20000000000000000000000
χ464-4-44-444-4-4-4440000000000000000000000000000000000

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