Finite Group Databasebeta

← Group #11713944

Character table — Group #11713944

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444666688888888121212121212161616161616161616161616242424242424242448484848
order12222222444444444436666666222222121212121212121212121212888888882444
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ611111111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ711111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ811111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ9222222222222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ102222222222-2-2-2-22222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000000000000
χ1122222222-2-222-2-22222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111000000000000
χ1222222222-2-2-2-2222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1000000000000
χ1322-2-222-2-200002-222-2-2222-2-2-2-2200002-20000000022-2-2000000000000
χ1422-2-222-2-200002-222-2-2-1-1-11111-100002-2−i3−i3i3i3−i3−i3i3i3-1-111000000000000
χ1522-2-222-2-200002-222-2-2-1-1-11111-100002-2i3i3−i3−i3i3i3−i3−i3-1-111000000000000
χ1622-2-222-2-20000-2222-2-2222-2-2-2-220000-2200000000-2-222000000000000
χ1722-2-222-2-20000-2222-2-2-1-1-11111-10000-22−i3−i3i3i3i3i3−i3−i311-1-1000000000000
χ1822-2-222-2-20000-2222-2-2-1-1-11111-10000-22i3i3−i3−i3−i3−i3i3i311-1-1000000000000
χ192-22-22-22-2002-2002-22-22-2-222-2-22002-20000002-22-20000000000000000
χ202-22-22-22-2002-2002-22-2-111-1-111-1002-200−i3i3−i3i3-11-11−i3i3−i3i3000000000000
χ212-22-22-22-2002-2002-22-2-111-1-111-1002-200i3−i3i3−i3-11-11i3−i3i3−i3000000000000
χ222-22-22-22-200-22002-22-22-2-222-2-2200-22000000-22-220000000000000000
χ232-22-22-22-200-22002-22-2-111-1-111-100-2200−i3i3−i3i31-11-1i3−i3i3−i3000000000000
χ242-22-22-22-200-22002-22-2-111-1-111-100-2200i3−i3i3−i31-11-1−i3i3−i3i3000000000000
χ252-2-222-2-222-200002-2-222-2-2-2-22222-200002-2-2200000000000000000000
χ262-2-222-2-222-200002-2-22-11111-1-1-12-20000-111-1−i3i3i3−i3−i3i3i3−i3000000000000
χ272-2-222-2-222-200002-2-22-11111-1-1-12-20000-111-1i3−i3−i3i3i3−i3−i3i3000000000000
χ282-2-222-2-22-2200002-2-222-2-2-2-2222-220000-222-200000000000000000000
χ292-2-222-2-22-2200002-2-22-11111-1-1-1-2200001-1-11−i3i3i3−i3i3−i3−i3i3000000000000
χ302-2-222-2-22-2200002-2-22-11111-1-1-1-2200001-1-11i3−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
χ333333333333-3-3-3-3-1-1-1-100000000-1-111110000000000001111-1-1-1-1-1-111
χ343333333333-3-3-3-3-1-1-1-100000000-1-11111000000000000-1-1-1-1111111-1-1
χ3533333333-3-333-3-3-1-1-1-10000000011-1-11100000000000011-1-111-1-1-11-11
χ3633333333-3-333-3-3-1-1-1-10000000011-1-111000000000000-1-111-1-1111-11-1
χ3733333333-3-3-3-333-1-1-1-1000000001111-1-100000000000011-1-1-1-111-111-1
χ3833333333-3-3-3-333-1-1-1-1000000001111-1-1000000000000-1-11111-1-11-1-11
χ394444-4-4-4-40000000000-22-22-22-22000000000000000000−2i22i20000000000
χ404444-4-4-4-40000000000-22-22-22-220000000000000000002i2−2i20000000000
χ4144-4-4-4-4440000000000-22-2-22-22200000000000000000000000022−220000
χ4244-4-4-4-4440000000000-22-2-22-222000000000000000000000000−22220000
χ434-44-4-44-440000000000-2-222-2-222000000000000000000000022−22000000
χ444-44-4-44-440000000000-2-222-2-2220000000000000000000000−2222000000
χ454-4-44-444-40000000000-2-22-222-220000000000000000000022−2200000000
χ464-4-44-444-40000000000-2-22-222-2200000000000000000000−222200000000
χ4766-6-666-6-600006-6-2-222000000000000-22000000000000000000000000
χ4866-6-666-6-60000-66-2-2220000000000002-2000000000000000000000000
χ496-66-66-66-6006-600-22-220000000000-2200000000000000000000000000
χ506-66-66-66-600-6600-22-2200000000002-200000000000000000000000000
χ516-6-666-6-666-60000-222-200000000-220000000000000000000000000000
χ526-6-666-6-66-660000-222-2000000002-20000000000000000000000000000
χ538888-8-8-8-800000000002-22-22-22-2000000000000000000000000000000
χ5488-8-8-8-88800000000002-222-22-2-2000000000000000000000000000000
χ558-88-8-88-88000000000022-2-222-2-2000000000000000000000000000000
χ568-8-88-888-8000000000022-22-2-22-2000000000000000000000000000000

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