Finite Group Databasebeta

← Group #24261

Character table — Group #24261

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222444444444444448888888888888816161616
order1222222222444422444444444444222244444444444444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1111111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1
χ611111111111111-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-1-1-111
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ91111111111-1-1-1-111-1-1111111-1-1-1-11-11-1-1-11-11-111-1-11-11-1
χ101111111111-1-1-1-111-1-1111111-1-1-1-1-11-11-1-1-11-1111-1-1-11-11
χ111111111111-1-1-1-111-1-1-1-1-1-11111111-11-1-1-11-11-1-1-111-11-11
χ121111111111-1-1-1-111-1-1-1-1-1-1111111-11-11-1-1-11-11-1-1111-11-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111-1-11-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111-111-1-1-111-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1111-1-1-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-111-111-1-11-1-11
χ1722222-2-2-22-222-2-2002-2000000000000220000-2-200000000
χ1822222-2-2-22-222-2-2002-2000000000000-2-200002200000000
χ1922222-2-2-22-2-2-22200-220000000000002-20000-2200000000
χ2022222-2-2-22-2-2-22200-22000000000000-2200002-200000000
χ212222-22-2-2-2222-2-200-220000000000220000-2-20000000000
χ222222-22-2-2-2222-2-200-220000000000-2-20000220000000000
χ232222-22-2-2-22-2-222002-200000000002-20000-220000000000
χ242222-22-2-2-22-2-222002-20000000000-2200002-20000000000
χ252222-2-222-2-2222222-2-20000-2-2000000002-2000000000000
χ262222-2-222-2-22222-2-2-2-200002200000000-22000000000000
χ272222-2-222-2-2-2-2-2-222220000-2-200000000-22000000000000
χ282222-2-222-2-2-2-2-2-2-2-222000022000000002-2000000000000
χ292-2-22222-2-2-200002-2002i2i−2i−2i2-2000000000000002i−2i000000
χ302-2-22222-2-2-200002-200−2i−2i2i2i2-200000000000000−2i2i000000
χ312-2-22222-2-2-20000-22002i2i−2i−2i-2200000000000000−2i2i000000
χ322-2-22222-2-2-20000-2200−2i−2i2i2i-22000000000000002i−2i000000
χ332-2-22-2-22-22200002-2000000-2222-2-20000000000002-20000
χ342-2-22-2-22-22200002-2000000-22-2-222000000000000-220000
χ352-2-22-2-22-2220000-220000002-222-2-2000000000000-220000
χ362-2-22-2-22-2220000-220000002-2-2-2220000000000002-20000
χ3744-4-4000000004i−4i00002-22-2002i−2i2i−2i000000000000000000
χ3844-4-4000000004i−4i0000-22-2200−2i2i−2i2i000000000000000000
χ3944-4-400000000−4i4i00002-22-200−2i2i−2i2i000000000000000000
χ4044-4-400000000−4i4i0000-22-22002i−2i2i−2i000000000000000000
χ414-44-40000004-40000002i−2i−2i2i002i−2i−2i2i000000000000000000
χ424-44-40000004-4000000−2i2i2i−2i00−2i2i2i−2i000000000000000000
χ434-44-4000000-440000002i−2i−2i2i00−2i2i2i−2i000000000000000000
χ444-44-4000000-44000000−2i2i2i−2i002i−2i−2i2i000000000000000000
χ454-4-444-4-44-44000000000000000000000000000000000000
χ464-4-44-44-444-4000000000000000000000000000000000000

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