Finite Group Databasebeta

← Group #10593665

Character table — Group #10593665

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1122244446688888812121212121616161616161616163636727272
order1234626612243336664612121266666612121244288
χ1111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1
χ311111-1-1-1111111111-111-1-1-1-1-1-1-1-111111-11-1
χ411111-1-1-1111111111-111-1-1-1-1-1-1-1-1111-1-11-11
χ522222222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-100000
χ622222-2-2-2222-1-1-1-1-1-1-222-2-2111111-1-1-100000
χ7222-22000-2-222222220-2200000000-2-2-200000
χ8222-22000-2-22-1-1-1-1-1-10-2200−i3−i3−i3i3i3i311100000
χ9222-22000-2-22-1-1-1-1-1-10-2200i3i3i3−i3−i3−i311100000
χ1022-12-12-1-1-1222-1-12-1-12-1-1-1-12-1-12-1-12-1-100000
χ1122-12-12-1-1-122-12-1-12-12-1-1-1-1-12-1-12-1-12-100000
χ1222-12-12-1-1-122-1-12-1-122-1-1-1-1-1-12-1-12-1-1200000
χ1322-12-1-211-1222-1-12-1-1-2-1-111-211-2112-1-100000
χ1422-12-1-211-122-12-1-12-1-2-1-1111-211-21-12-100000
χ1522-12-1-211-122-1-12-1-12-2-1-11111-211-2-1-1200000
χ1622-1-2-10−i3i31-222-1-12-1-101-1−i3i30−i3i30i3−i3-21100000
χ1722-1-2-10−i3i31-22-12-1-12-101-1−i3i3i30−i3−i30i31-2100000
χ1822-1-2-10−i3i31-22-1-12-1-1201-1−i3i3−i3i30i3−i3011-200000
χ1922-1-2-10i3−i31-222-1-12-1-101-1i3−i30i3−i30−i3i3-21100000
χ2022-1-2-10i3−i31-22-12-1-12-101-1i3−i3−i30i3i30−i31-2100000
χ2122-1-2-10i3−i31-22-1-12-1-1201-1i3−i3i3−i30−i3i3011-200000
χ22333333333-1-1000000-1-1-1-1-100000000011-1-11
χ23333333333-1-1000000-1-1-1-1-1000000000-1-111-1
χ2433333-3-3-33-1-10000001-1-111000000000111-1-1
χ2533333-3-3-33-1-10000001-1-111000000000-1-1-111
χ264-440-4000000-2-2-2222000000000000002i−2i000
χ274-440-4000000-2-2-222200000000000000−2i2i000
χ28666-66000-62-200000002-20000000000000000
χ2966-36-36-3-3-3-2-2000000-2111100000000000000
χ3066-36-3-633-3-2-2000000211-1-100000000000000
χ3166-3-6-30−3i33i332-20000000-11i3−i300000000000000
χ3266-3-6-303i3−3i332-20000000-11−i3i300000000000000
χ338-880-8000000222-2-2-20000000000000000000
χ348-8-40400000022-4-2-240000000000000000000
χ358-8-4040000002-42-24-20000000000000000000
χ368-8-404000000-4224-2-20000000000000000000

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