Finite Group Databasebeta

← Group #11875049

Character table — Group #11875049

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order122233466666612121212444444121212121212121248888222266466666612121212444444121212121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111-1-1-1-11-1-1-1-1111111111111111111111-1-11111-1-1-1-11-1-1-1-1
χ31111111111111111111-1-111-1-1-1-111111-1-1-1-11111111111111111111-1-111-1-1-1-111111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-1111-11-111-1-111-1-1-111-1-1111111-1111111-1-1-1-1111-11-111-1-111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-111111111-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-111-11-11-1-111-1-111-111-1-1111111-1111111-1-1-1-111-11-11-1-111-1-111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000
χ1122-2-222022-2-2-2-200002-20000000000000002-222-2-222022-2-2-2-200002-20000000000000002-2
χ1222-2-222022-2-2-2-200002-2000000000000000-2222-2-222022-2-2-2-200002-2000000000000000-22
χ1322-2-222022-2-2-2-20000-2200000000000002-20022-2-222022-2-2-2-20000-2200000000000002-200
χ1422-2-222022-2-2-2-20000-220000000000000-220022-2-222022-2-2-2-20000-220000000000000-2200
χ1544441-241-21-2-21-2-2110000220000-1-1-1-10000044441-241-21-2-21-2-2110000220000-1-1-1-100000
χ1644441-241-21-2-21-2-2110000-2-2000011110000044441-241-21-2-21-2-2110000-2-20000111100000
χ1744441-2-41-21-2-2122-1-100002-20000-1-1110000044441-2-41-21-2-2122-1-100002-20000-1-11100000
χ1844441-2-41-21-2-2122-1-10000-22000011-1-10000044441-2-41-21-2-2122-1-10000-22000011-1-100000
χ194444-214-21-211-211-2-2002200-1-1-1-10000000004444-214-21-211-211-2-2002200-1-1-1-1000000000
χ204444-214-21-211-211-2-200-2-20011110000000004444-214-21-211-211-2-200-2-2001111000000000
χ214444-21-4-21-211-2-1-122002-200-1-1110000000004444-21-4-21-211-2-1-122002-200-1-111000000000
χ224444-21-4-21-211-2-1-12200-220011-1-10000000004444-21-4-21-211-2-1-12200-220011-1-1000000000
χ234-44-4440-4-444-4-4000000000000000000000004-44-4440-4-444-4-400000000000000000000000
χ244-44-4-2102-1-21-123i−3i00000000−i3i33−30000000004-44-4-2102-1-21-123i−3i00000000−i3i33−3000000000
χ254-44-4-2102-1-21-123i−3i00000000i3−i3−330000000004-44-4-2102-1-21-123i−3i00000000i3−i3−33000000000
χ264-44-4-2102-1-21-12−3i3i00000000−i3i3−330000000004-44-4-2102-1-21-12−3i3i00000000−i3i3−33000000000
χ274-44-4-2102-1-21-12−3i3i00000000i3−i33−30000000004-44-4-2102-1-21-12−3i3i00000000i3−i33−3000000000
χ284-4-441-20-12-12-21003-30000000000−i3i3−i3i3000004-4-441-20-12-12-21003-30000000000−i3i3−i3i300000
χ294-4-441-20-12-12-21003-30000000000i3−i3i3−i3000004-4-441-20-12-12-21003-30000000000i3−i3i3−i300000
χ304-4-441-20-12-12-2100-330000000000−i3i3i3−i3000004-4-441-20-12-12-2100-330000000000−i3i3i3−i300000
χ314-4-441-20-12-12-2100-330000000000i3−i3−i3i3000004-4-441-20-12-12-2100-330000000000i3−i3−i3i300000
χ324-4-44440-4-4-4-444000000000000000000000004-4-44440-4-4-4-44400000000000000000000000
χ3388-8-82-402-4-244-20000000000000000000000088-8-82-402-4-244-200000000000000000000000
χ3488-8-8-420-424-2-240000000000000000000000088-8-8-420-424-2-2400000000000000000000000
χ358-88-82-40-242-44-2000000000000000000000008-88-82-40-242-44-200000000000000000000000
χ368-8-88-4204-24-22-4000000000000000000000008-8-88-4204-24-22-400000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ38111111111111111111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111
χ391111111111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11111
χ401111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1
χ41111111-1111111-1-1-1-1111-11-111-1-111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-11-1-111-1-1111-1-111
χ42111111-1111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-1-11111-1-1111-1-1
χ43111111-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111111-1-1
χ44111111-1111111-1-1-1-111-11-11-1-111-1-111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-11-111-1-111-1-11-1-111
χ4522222222222222222-2-2000000000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000000020000
χ46222222-2222222-2-2-2-2-2-200000000000020000-2-2-2-2-2-22-2-2-2-2-2-2222222000000000000-20000
χ4722-2-222022-2-2-2-200002-20000000000000002-2-2-222-2-20-2-222220000-22000000000000000-22
χ4822-2-222022-2-2-2-200002-2000000000000000-22-2-222-2-20-2-222220000-220000000000000002-2
χ4922-2-222022-2-2-2-20000-2200000000000002-200-2-222-2-20-2-2222200002-20000000000000-2200
χ5022-2-222022-2-2-2-20000-220000000000000-2200-2-222-2-20-2-2222200002-200000000000002-200
χ5144441-241-21-2-21-2-2110000220000-1-1-1-100000-4-4-4-4-12-4-12-122-122-1-10000-2-20000111100000
χ5244441-241-21-2-21-2-2110000-2-20000111100000-4-4-4-4-12-4-12-122-122-1-10000220000-1-1-1-100000
χ5344441-2-41-21-2-2122-1-100002-20000-1-11100000-4-4-4-4-124-12-122-1-2-2110000-22000011-1-100000
χ5444441-2-41-21-2-2122-1-10000-22000011-1-100000-4-4-4-4-124-12-122-1-2-21100002-20000-1-11100000
χ554444-214-21-211-211-2-2002200-1-1-1-1000000000-4-4-4-42-1-42-12-1-12-1-12200-2-2001111000000000
χ564444-214-21-211-211-2-200-2-2001111000000000-4-4-4-42-1-42-12-1-12-1-122002200-1-1-1-1000000000
χ574444-21-4-21-211-2-1-122002-200-1-111000000000-4-4-4-42-142-12-1-1211-2-200-220011-1-1000000000
χ584444-21-4-21-211-2-1-12200-220011-1-1000000000-4-4-4-42-142-12-1-1211-2-2002-200-1-111000000000
χ594-44-4440-4-444-4-400000000000000000000000-44-44-4-4044-4-44400000000000000000000000
χ604-44-4-2102-1-21-123i−3i00000000−i3i33−3000000000-44-442-10-212-11-2−3i3i00000000i3−i3−33000000000
χ614-44-4-2102-1-21-123i−3i00000000i3−i3−33000000000-44-442-10-212-11-2−3i3i00000000−i3i33−3000000000
χ624-44-4-2102-1-21-12−3i3i00000000−i3i3−33000000000-44-442-10-212-11-23i−3i00000000i3−i33−3000000000
χ634-44-4-2102-1-21-12−3i3i00000000i3−i33−3000000000-44-442-10-212-11-23i−3i00000000−i3i3−33000000000
χ644-4-441-20-12-12-21003-30000000000−i3i3−i3i300000-444-4-1201-21-22-100-330000000000i3−i3i3−i300000
χ654-4-441-20-12-12-21003-30000000000i3−i3i3−i300000-444-4-1201-21-22-100-330000000000−i3i3−i3i300000
χ664-4-441-20-12-12-2100-330000000000−i3i3i3−i300000-444-4-1201-21-22-1003-30000000000i3−i3−i3i300000
χ674-4-441-20-12-12-2100-330000000000i3−i3−i3i300000-444-4-1201-21-22-1003-30000000000−i3i3i3−i300000
χ684-4-44440-4-4-4-44400000000000000000000000-444-4-4-404444-4-400000000000000000000000
χ6988-8-82-402-4-244-200000000000000000000000-8-888-240-242-4-4200000000000000000000000
χ7088-8-8-420-424-2-2400000000000000000000000-8-8884-204-2-422-400000000000000000000000
χ718-88-82-40-242-44-200000000000000000000000-88-88-2402-4-24-4200000000000000000000000
χ728-8-88-4204-24-22-400000000000000000000000-888-84-20-42-42-2400000000000000000000000

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