Finite Group Databasebeta

← Group #11713947

Character table — Group #11713947

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444666688888888121212121212161616161616161616161616242424242424242448484848
order122222222222444444366666662244446666666612121212888888884444
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111-1-111-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ611111111-1-111-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ9222222222222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ102222222222-2-2-2-22222-1-1-1-1-1-1-1-1-2-222-2-2-1-1-1-111111111000000000000
χ1122222222-2-222-2-22222-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-11111000000000000
χ1222222222-2-2-2-2222222-1-1-1-1-1-1-1-122-2-2-2-211111111-1-1-1-1000000000000
χ1322-2-22-2-2200002-222-2-2222-2-2-2-222-200000000000022-2-2000000000000
χ1422-2-22-2-2200002-222-2-2-1-1-11111-12-20000−i3−i3i3i3−i3−i3i3i3-1-111000000000000
χ1522-2-22-2-2200002-222-2-2-1-1-11111-12-20000i3i3−i3−i3i3i3−i3−i3-1-111000000000000
χ1622-2-22-2-220000-2222-2-2222-2-2-2-22-22000000000000-2-222000000000000
χ1722-2-22-2-220000-2222-2-2-1-1-11111-1-220000−i3−i3i3i3i3i3−i3−i311-1-1000000000000
χ1822-2-22-2-220000-2222-2-2-1-1-11111-1-220000i3i3−i3−i3−i3−i3i3i311-1-1000000000000
χ192-22-2-22-22002-2002-22-22-2-222-2-2200002-200002-22-20000000000000000
χ202-22-2-22-22002-2002-22-2-111-1-111-100002-2−i3i3−i3i3-11-11−i3i3−i3i3000000000000
χ212-22-2-22-22002-2002-22-2-111-1-111-100002-2i3−i3i3−i3-11-11i3−i3i3−i3000000000000
χ222-22-2-22-2200-22002-22-22-2-222-2-220000-220000-22-220000000000000000
χ232-22-2-22-2200-22002-22-2-111-1-111-10000-22−i3i3−i3i31-11-1i3−i3i3−i3000000000000
χ242-22-2-22-2200-22002-22-2-111-1-111-10000-22i3−i3i3−i31-11-1−i3i3−i3i3000000000000
χ252-2-22-2-2222-200002-2-222-2-2-2-2222002-2002-2-2200000000000000000000
χ262-2-22-2-2222-200002-2-22-11111-1-1-1002-200-111-1−i3i3i3−i3−i3i3i3−i3000000000000
χ272-2-22-2-2222-200002-2-22-11111-1-1-1002-200-111-1i3−i3−i3i3i3−i3−i3i3000000000000
χ282-2-22-2-222-2200002-2-222-2-2-2-222200-2200-222-200000000000000000000
χ292-2-22-2-222-2200002-2-22-11111-1-1-100-22001-1-11−i3i3i3−i3i3−i3−i3i3000000000000
χ302-2-22-2-222-2200002-2-22-11111-1-1-100-22001-1-11i3−i3−i3i3−i3i3i3−i3000000000000
χ3133333333333333-1-1-1-100000000-1-1-1-1-1-100000000000011111111-1-1-1-1
χ3233333333333333-1-1-1-100000000-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-11111
χ333333333333-3-3-3-3-1-1-1-10000000011-1-1110000000000001111-1-1-1-1-1-111
χ343333333333-3-3-3-3-1-1-1-10000000011-1-111000000000000-1-1-1-1111111-1-1
χ3533333333-3-333-3-3-1-1-1-1000000001111-1-100000000000011-1-111-1-1-11-11
χ3633333333-3-333-3-3-1-1-1-1000000001111-1-1000000000000-1-111-1-1111-11-1
χ3733333333-3-3-3-333-1-1-1-100000000-1-1111100000000000011-1-1-1-111-111-1
χ3833333333-3-3-3-333-1-1-1-100000000-1-11111000000000000-1-11111-1-11-1-11
χ39444-4-4-44-40000000000-22-22-22-220000000000000000000022−2200000000
χ40444-4-4-44-40000000000-22-22-22-2200000000000000000000−222200000000
χ4144-44-44-4-40000000000-22-2-22-222000000000000000000000022−22000000
χ4244-44-44-4-40000000000-22-2-22-2220000000000000000000000−2222000000
χ434-4444-4-4-40000000000-2-222-2-22200000000000000000000000022−220000
χ444-4444-4-4-40000000000-2-222-2-222000000000000000000000000−22220000
χ454-4-4-4444-40000000000-2-22-222-22000000000000000000−2i22i20000000000
χ464-4-4-4444-40000000000-2-22-222-220000000000000000002i2−2i20000000000
χ4766-6-66-6-6600006-6-2-22200000000-220000000000000000000000000000
χ4866-6-66-6-660000-66-2-222000000002-20000000000000000000000000000
χ496-66-6-66-66006-600-22-22000000000000-22000000000000000000000000
χ506-66-6-66-6600-6600-22-220000000000002-2000000000000000000000000
χ516-6-66-6-6666-60000-222-20000000000-2200000000000000000000000000
χ526-6-66-6-666-660000-222-200000000002-200000000000000000000000000
χ53888-8-8-88-800000000002-22-22-22-2000000000000000000000000000000
χ5488-88-88-8-800000000002-222-22-2-2000000000000000000000000000000
χ558-8888-8-8-8000000000022-2-222-2-2000000000000000000000000000000
χ568-8-8-8888-8000000000022-22-2-22-2000000000000000000000000000000

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