Finite Group Databasebeta

← Group #11714088

Character table — Group #11714088

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444666688888888121212121212161616161616161616161616242424242424242448484848
order12222222444444444436666666444444121212121212121212121212888888882444
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
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
χ13222-2-22-2-200002i−2i22-2-2222-2-22-2-200002i−2i000000002i2i−2i−2i000000000000
χ14222-2-22-2-200002i−2i22-2-2-1-1-111-11100002i−2i−i3−i3i3i333−3−3−i−iii000000000000
χ15222-2-22-2-200002i−2i22-2-2-1-1-111-11100002i−2ii3i3−i3−i3−3−333−i−iii000000000000
χ16222-2-22-2-20000−2i2i22-2-2222-2-22-2-20000−2i2i00000000−2i−2i2i2i000000000000
χ17222-2-22-2-20000−2i2i22-2-2-1-1-111-1110000−2i2i−i3−i3i3i3−3−333ii−i−i000000000000
χ18222-2-22-2-20000−2i2i22-2-2-1-1-111-1110000−2i2ii3i3−i3−i333−3−3ii−i−i000000000000
χ1922-22-2-22-2002i−2i002-22-222-22-2-22-2002i−2i0000002i−2i2i−2i0000000000000000
χ2022-22-2-22-2002i−2i002-22-2-1-11-111-11002i−2i003−33−3−ii−ii−i3i3−i3i3000000000000
χ2122-22-2-22-2002i−2i002-22-2-1-11-111-11002i−2i00−33−33−ii−iii3−i3i3−i3000000000000
χ2222-22-2-22-200−2i2i002-22-222-22-2-22-200−2i2i000000−2i2i−2i2i0000000000000000
χ2322-22-2-22-200−2i2i002-22-2-1-11-111-1100−2i2i003−33−3i−ii−ii3−i3i3−i3000000000000
χ2422-22-2-22-200−2i2i002-22-2-1-11-111-1100−2i2i00−33−33i−ii−i−i3i3−i3i3000000000000
χ2522-2-22-2-222i−2i00002-2-2222-2-22-2-222i−2i00002i−2i−2i2i00000000000000000000
χ2622-2-22-2-222i−2i00002-2-22-1-111-111-12i−2i0000−iii−i−i3i3i3−i3−333−3000000000000
χ2722-2-22-2-222i−2i00002-2-22-1-111-111-12i−2i0000−iii−ii3−i3−i3i33−3−33000000000000
χ2822-2-22-2-22−2i2i00002-2-2222-2-22-2-22−2i2i0000−2i2i2i−2i00000000000000000000
χ2922-2-22-2-22−2i2i00002-2-22-1-111-111-1−2i2i0000i−i−ii−i3i3i3−i33−3−33000000000000
χ3022-2-22-2-22−2i2i00002-2-22-1-111-111-1−2i2i0000i−i−iii3−i3−i3i3−333−3000000000000
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
χ394-4444-4-4-40000000000-22-2-2-2222000000000000000000−2i22i20000000000
χ404-4444-4-4-40000000000-22-2-2-22220000000000000000002i2−2i20000000000
χ414-44-4-4-4440000000000-22-2222-2-2000000000000000000000000−2i22i20000
χ424-44-4-4-4440000000000-22-2222-2-20000000000000000000000002i2−2i20000
χ434-4-44-44-440000000000-222-22-22-20000000000000000000000−2i22i2000000
χ444-4-44-44-440000000000-222-22-22-200000000000000000000002i2−2i2000000
χ454-4-4-4444-40000000000-2222-2-2-2200000000000000000000−2i22i200000000
χ464-4-4-4444-40000000000-2222-2-2-22000000000000000000002i2−2i200000000
χ47666-6-66-6-600006i−6i-2-222000000000000−2i2i000000000000000000000000
χ48666-6-66-6-60000−6i6i-2-2220000000000002i−2i000000000000000000000000
χ4966-66-6-66-6006i−6i00-22-220000000000−2i2i00000000000000000000000000
χ5066-66-6-66-600−6i6i00-22-2200000000002i−2i00000000000000000000000000
χ5166-6-66-6-666i−6i0000-222-200000000−2i2i0000000000000000000000000000
χ5266-6-66-6-66−6i6i0000-222-2000000002i−2i0000000000000000000000000000
χ538-8888-8-8-800000000002-2222-2-2-2000000000000000000000000000000
χ548-88-8-8-88800000000002-22-2-2-222000000000000000000000000000000
χ558-8-88-88-8800000000002-2-22-22-22000000000000000000000000000000
χ568-8-8-8888-800000000002-2-2-2222-2000000000000000000000000000000

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