Finite Group Databasebeta

← Group #11714061

Character table — Group #11714061

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444666688888888121212121212161616161616161616161616242424242424242448484848
order12222222444444444436666666444444121212121212121212121212888888882444
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ41111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ511111111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1-11
χ611111111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111-1
χ711111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ811111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
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
χ1322-2-22-22-2002i−2i002-22-2222-2-22-2-2002i−2i0000002i2i−2i−2i0000000000000000
χ1422-2-22-22-2002i−2i002-22-2-1-1-111-111002i−2i00−i3−i3i3i3−i−iii33−3−3000000000000
χ1522-2-22-22-2002i−2i002-22-2-1-1-111-111002i−2i00i3i3−i3−i3−i−iii−3−333000000000000
χ1622-2-22-22-200−2i2i002-22-2222-2-22-2-200−2i2i000000−2i−2i2i2i0000000000000000
χ1722-2-22-22-200−2i2i002-22-2-1-1-111-11100−2i2i00−i3−i3i3i3ii−i−i−3−333000000000000
χ1822-2-22-22-200−2i2i002-22-2-1-1-111-11100−2i2i00i3i3−i3−i3ii−i−i33−3−3000000000000
χ192-22-2-222-22i−2i0000-222-222-22-2-22-22i−2i00002i−2i2i−2i00000000000000000000
χ202-22-2-222-22i−2i0000-222-2-1-11-111-112i−2i0000−ii−ii−i3i3−i3i33−33−3000000000000
χ212-22-2-222-22i−2i0000-222-2-1-11-111-112i−2i0000−ii−iii3−i3i3−i3−33−33000000000000
χ222-22-2-222-2−2i2i0000-222-222-22-2-22-2−2i2i0000−2i2i−2i2i00000000000000000000
χ232-22-2-222-2−2i2i0000-222-2-1-11-111-11−2i2i0000i−ii−i−i3i3−i3i3−33−33000000000000
χ242-22-2-222-2−2i2i0000-222-2-1-11-111-11−2i2i0000i−ii−ii3−i3i3−i33−33−3000000000000
χ252-2-22-2-22200002-2-2-22222-2-22-2-2200002-2000000002-2-22000000000000
χ262-2-22-2-22200002-2-2-222-1-111-111-100002-23−3−33−333−3-111-1000000000000
χ272-2-22-2-22200002-2-2-222-1-111-111-100002-2−333−33−3−33-111-1000000000000
χ282-2-22-2-2220000-22-2-22222-2-22-2-220000-2200000000-222-2000000000000
χ292-2-22-2-2220000-22-2-222-1-111-111-10000-223−3−333−3−331-1-11000000000000
χ302-2-22-2-2220000-22-2-222-1-111-111-10000-22−333−3−333−31-1-11000000000000
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
χ333333333333-3-3-3-3-1-1-1-100000000-1-111110000000000001111-1-1-1-1-11-11
χ343333333333-3-3-3-3-1-1-1-100000000-1-11111000000000000-1-1-1-111111-11-1
χ3533333333-3-333-3-3-1-1-1-10000000011-1-11100000000000011-1-111-1-1-111-1
χ3633333333-3-333-3-3-1-1-1-10000000011-1-111000000000000-1-111-1-1111-1-11
χ3733333333-3-3-3-333-1-1-1-1000000001111-1-100000000000011-1-1-1-111-1-111
χ3833333333-3-3-3-333-1-1-1-1000000001111-1-1000000000000-1-11111-1-111-1-1
χ39444-4-4-4-440000000000-2222-2-2-22000000000000000000−2i22i20000000000
χ40444-4-4-4-440000000000-2222-2-2-220000000000000000002i2−2i20000000000
χ4144-44-44-4-40000000000-222-22-22-2000000000000000000000022−22000000
χ4244-44-44-4-40000000000-222-22-22-20000000000000000000000−2222000000
χ434-4444-4-4-40000000000-22-2222-2-20000000000000000000022−2200000000
χ444-4444-4-4-40000000000-22-2222-2-200000000000000000000−222200000000
χ454-4-4-444-440000000000-22-2-2-222200000000000000000000000022−220000
χ464-4-4-444-440000000000-22-2-2-2222000000000000000000000000−22220000
χ4766-6-66-66-6006i−6i00-22-220000000000−2i2i00000000000000000000000000
χ4866-6-66-66-600−6i6i00-22-2200000000002i−2i00000000000000000000000000
χ496-66-6-666-66i−6i00002-2-2200000000−2i2i0000000000000000000000000000
χ506-66-6-666-6−6i6i00002-2-22000000002i−2i0000000000000000000000000000
χ516-6-66-6-66600006-622-2-2000000000000-22000000000000000000000000
χ526-6-66-6-6660000-6622-2-20000000000002-2000000000000000000000000
χ53888-8-8-8-8800000000002-2-2-2222-2000000000000000000000000000000
χ5488-88-88-8-800000000002-2-22-22-22000000000000000000000000000000
χ558-8888-8-8-800000000002-22-2-2-222000000000000000000000000000000
χ568-8-8-888-8800000000002-2222-2-2-2000000000000000000000000000000

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