Finite Group Databasebeta

← Group #11878929

Character table — Group #11878929

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order12224444334666666121212121212121212121212121222444444444444121212121212121248888888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-11111-1-1-1-111111-1-1-1-111-1-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111111-1-1-1-11-1-1-1-11111-1-111
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-1-1-111111-1-1-1-1111111-1-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1111111111-1-1-1-1-1-111
χ91111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-111-1-111-1-1-111-1-111-1-11-11-1
χ101111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-11-1111-1-111-1-1-1-1-111-1-111-11-11
χ111111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1-1-111-1-111-1-1-111-1-1111-11-1
χ121111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-11-11-1-111-1-111-111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-111-1-1111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-11-111-111-1-1-1-111-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-111-11-1-11-1-11111-1-1-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-111-1-1-11111-1-1-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-22222-2-20000000000000000-2000000000000
χ192222-2-22222-2222222-2-2-2-2-2-22222-2-2-2-222-2-2-2-200000000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-200000000000000002000000000000
χ2122-2-22-20022022-2-2-2-222-2-22-2000000002-22-200000000000000000002−22−22−22−20000
χ2222-2-22-20022022-2-2-2-222-2-22-2000000002-22-20000000000000000000−22−22−22−220000
χ2322-2-22-20022022-2-2-2-222-2-22-200000000-22-2200000000000000000002−22−2−22−220000
χ2422-2-22-20022022-2-2-2-222-2-22-200000000-22-220000000000000000000−22−222−22−20000
χ2522-2-2-220022022-2-2-2-2-2-222-22000000002-2-2200000000000000000002−2−22−222−20000
χ2622-2-2-220022022-2-2-2-2-2-222-22000000002-2-220000000000000000000−222−22−2−220000
χ2722-2-2-220022022-2-2-2-2-2-222-2200000000-222-200000000000000000002−2−222−2−220000
χ2822-2-2-220022022-2-2-2-2-2-222-2200000000-222-20000000000000000000−222−2−222−20000
χ29444444441-241-21-2-21-2-2-2-21111-2-2-2-2110000000000222200000000000000000-1-1-1-1
χ30444444441-241-21-2-21-2-2-2-21111-2-2-2-2110000000000-2-2-2-2000000000000000001111
χ3144444444-214-21-211-21111-2-2-2-21111-2-200000022220000-1-1-1-1-1-1-1-10000000000000
χ3244444444-214-21-211-21111-2-2-2-21111-2-2000000-2-2-2-20000111111110000000000000
χ33444444-4-41-2-41-21-2-21-2-2-2-211-1-12222-1-1000000000022-2-200000000000000000-1-111
χ34444444-4-41-2-41-21-2-21-2-2-2-211-1-12222-1-10000000000-2-2220000000000000000011-1-1
χ35444444-4-4-21-4-21-211-21111-2-222-1-1-1-1220000002-22-20000-1-1-1-111110000000000000
χ36444444-4-4-21-4-21-211-21111-2-222-1-1-1-122000000-22-2200001111-1-1-1-10000000000000
χ374444-4-4441-2-41-21-2-212222-1-111-2-222-1-100000000002-22-200000000000000000-11-11
χ384444-4-4441-2-41-21-2-212222-1-111-2-222-1-10000000000-22-22000000000000000001-11-1
χ394444-4-444-21-4-21-211-2-1-1-1-122-2-211-1-12200000022-2-20000-1-111-1-1110000000000000
χ404444-4-444-21-4-21-211-2-1-1-1-122-2-211-1-122000000-2-222000011-1-111-1-10000000000000
χ414444-4-4-4-41-241-21-2-212222-1-1-1-122-2-21100000000002-2-2200000000000000000-111-1
χ424444-4-4-4-41-241-21-2-212222-1-1-1-122-2-2110000000000-222-2000000000000000001-1-11
χ434444-4-4-4-4-214-21-211-2-1-1-1-12222-1-111-2-20000002-2-220000-1-11111-1-10000000000000
χ444444-4-4-4-4-214-21-211-2-1-1-1-12222-1-111-2-2000000-222-2000011-1-1-1-1110000000000000
χ454-44-4004-4440-4-444-4-40000004-44-4000000000000000000000000000000000000000
χ464-44-4004-4-2102-1-21-123i−3i3i−3i00-221-13i−3i0000000000000000−i3i33−3−i3i33−30000000000000
χ474-44-4004-4-2102-1-21-123i−3i3i−3i00-221-13i−3i0000000000000000i3−i3−33i3−i3−330000000000000
χ484-44-4004-4-2102-1-21-12−3i3i−3i3i00-221-1−3i3i0000000000000000−i3i3−33−i3i3−330000000000000
χ494-44-4004-4-2102-1-21-12−3i3i−3i3i00-221-1−3i3i0000000000000000i3−i33−3i3−i33−30000000000000
χ504-44-400-44440-4-444-4-4000000-44-44000000000000000000000000000000000000000
χ514-44-400-44-2102-1-21-123i−3i3i−3i002-2-11−3i3i0000000000000000−i3i33−3i3−i3−330000000000000
χ524-44-400-44-2102-1-21-123i−3i3i−3i002-2-11−3i3i0000000000000000i3−i3−33−i3i33−30000000000000
χ534-44-400-44-2102-1-21-12−3i3i−3i3i002-2-113i−3i0000000000000000−i3i3−33i3−i33−30000000000000
χ544-44-400-44-2102-1-21-12−3i3i−3i3i002-2-113i−3i0000000000000000i3−i33−3−i3i3−330000000000000
χ554-4-440000440-4-4-4-4440000000000000000004-400000000000000000000000000000
χ564-4-440000440-4-4-4-444000000000000000000-4400000000000000000000000000000
χ5788-8-88-8002-402-4-244-2-4-4442-20000000000000000000000000000000000000000000
χ5888-8-88-800-420-424-2-2422-2-2-440000000000000000000000000000000000000000000
χ5988-8-8-88002-402-4-244-244-4-4-220000000000000000000000000000000000000000000
χ6088-8-8-8800-420-424-2-24-2-2224-40000000000000000000000000000000000000000000
χ618-88-8008-82-40-242-44-20000002-2-44000000000000000000000000000000000000000
χ628-88-800-882-40-242-44-2000000-224-4000000000000000000000000000000000000000
χ638-8-8800002-40-24-24-420000000000006-600000000000000000000000000000000000
χ648-8-8800002-40-24-24-42000000000000-6600000000000000000000000000000000000
χ658-8-880000-4204-24-22-46i−6i−6i6i000000000000000000000000000000000000000000000
χ668-8-880000-4204-24-22-4−6i6i6i−6i000000000000000000000000000000000000000000000

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