Finite Group Databasebeta

← Group #11789712

Character table — Group #11789712

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112224444448888888899161616161616161616161616181818181818183636363636363636727272727272
order1224433668846681212121244121212122424242424242424224444444888888244888
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11-1-11-1-1
χ31111111111111111111-1-1111111111111-1-1-1ii−i−ii−i-1-1ii−i−i-1i−i-1i−i
χ41111111111111111111-1-1111111111111-1-1-1−i−iii−ii-1-1−i−iii-1−ii-1−ii
χ511111111111-111-1111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1
χ611111111111-111-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-111-111
χ711111111111-111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1ii−i−ii−i-1-1ii−i−i1−ii1−ii
χ811111111111-111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1−i−iii−ii-1-1−i−iii1i−i1i−i
χ9111111111-1-1111-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-111
χ10111111111-1-1111-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-1-1
χ11111111111-1-1111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−i11−i−iii-1−ii1i−i
χ12111111111-1-1111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii11ii−i−i-1i−i1−ii
χ13111111111-1-1-1111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1111-1-1
χ14111111111-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1111
χ15111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1ii−i−ii−i11−i−iii1i−i-1−ii
χ16111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1−i−iii−ii11ii−i−i1−ii-1i−i
χ17222-2-222222i−2i0220-2-2-2-22200002i2i−2i−2i0000-2-220000002i−2i0000000000
χ18222-2-222222i−2i0220-2-2-2-2-2-200002i2i−2i−2i000022-2000000−2i2i0000000000
χ19222-2-22222−2i2i0220-2-2-2-2220000−2i−2i2i2i0000-2-22000000−2i2i0000000000
χ20222-2-22222−2i2i0220-2-2-2-2-2-20000−2i−2i2i2i000022-20000002i−2i0000000000
χ2122-22-22222000-2-2022-2-2220000000000002-2-22222-2-2000000000000
χ2222-22-22222000-2-2022-2-2220000000000002-2-2-2-2-2-222000000000000
χ2322-22-22222000-2-2022-2-2-2-2000000000000-2222i2i−2i−2i−2i2i000000000000
χ2422-22-22222000-2-2022-2-2-2-2000000000000-222−2i−2i2i2i2i−2i000000000000
χ2522-2-222222000-2-20-2-22222000000000000-22-2000000002-22-2000000
χ2622-2-222222000-2-20-2-22222000000000000-22-200000000-22-22000000
χ2722-2-222222000-2-20-2-222-2-20000000000002-22000000002i−2i−2i2i000000
χ2822-2-222222000-2-20-2-222-2-20000000000002-2200000000−2i2i2i−2i000000
χ29444441-21-24441-241-21-20011-2-21-21-211-2-2000000000000000000000
χ30444441-21-244-41-2-41-21-200-1-1221-21-2-1-122000000000000000000000
χ31444441-21-2-4-441-2-41-21-20011-2-2-12-12-1-122000000000000000000000
χ32444441-21-2-4-4-41-241-21-200-1-122-12-1211-2-2000000000000000000000
χ3344444-21-21444-214-21-2100-2-211-21-21-2-211000000000000000000000
χ3444444-21-2144-4-21-4-21-210022-1-1-21-2122-1-1000000000000000000000
χ3544444-21-21-4-44-21-4-21-2100-2-2112-12-122-1-1000000000000000000000
χ3644444-21-21-4-4-4-214-21-210022-1-12-12-1-2-211000000000000000000000
χ37444-4-41-21-24i−4i01-20-12-12003-300i−2i−i2i3i−3i00000000000000000000000
χ38444-4-41-21-24i−4i01-20-12-1200-3300i−2i−i2i−3i3i00000000000000000000000
χ39444-4-41-21-2−4i4i01-20-12-12003-300−i2ii−2i−3i3i00000000000000000000000
χ40444-4-41-21-2−4i4i01-20-12-1200-3300−i2ii−2i3i−3i00000000000000000000000
χ41444-4-4-21-214i−4i0-2102-12-100003-3−2ii2i−i003i−3i000000000000000000000
χ42444-4-4-21-214i−4i0-2102-12-10000-33−2ii2i−i00−3i3i000000000000000000000
χ43444-4-4-21-21−4i4i0-2102-12-100003-32i−i−2ii00−3i3i000000000000000000000
χ44444-4-4-21-21−4i4i0-2102-12-10000-332i−i−2ii003i−3i000000000000000000000
χ454-400044-4-400000000004i−4i0000000000000002+2i−2−2i2−2i−2+2i00000000000000
χ464-400044-4-400000000004i−4i000000000000000−2−2i2+2i−2+2i2−2i00000000000000
χ474-400044-4-40000000000−4i4i0000000000000002−2i−2+2i2+2i−2−2i00000000000000
χ484-400044-4-40000000000−4i4i000000000000000−2+2i2−2i−2−2i2+2i00000000000000
χ4988-88-82-42-4000-2402-4-2400000000000000000000000000000000000
χ5088-88-8-42-420004-20-424-200000000000000000000000000000000000
χ5188-8-882-42-4000-240-242-400000000000000000000000000000000000
χ5288-8-88-42-420004-204-2-4200000000000000000000000000000000000
χ5316-160004-8-48000000000000000000000000000000000000000000000
χ5416-16000-848-4000000000000000000000000000000000000000000000

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