Finite Group Databasebeta

← Group #11775604

Character table — Group #11775604

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888888888888888888888181818181818363636363636363636727272727272
order122222443346666666666666644121212121212121212121212121212121212121212121212222244488888888444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ51111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1
χ61111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-1-1-111111-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11ii−i−iii−i−i1-1i−ii−i
χ101111-1-1-1-111111-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11−i−iii−i−iii1-1−ii−ii
χ111111-1-1-1-111111-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111-111-1-11
χ121111-1-1-1-111111-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-11-111-1
χ131111-1-1-1-111111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11ii−i−iii−i−i-11−ii−ii
χ141111-1-1-1-111111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11−i−iii−i−iii-11i−ii−i
χ151111-1-1-1-111111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-1111-1-111-1
χ161111-1-1-1-111111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-11111-1-11-11-1-11
χ17222222-2-222-22222222222222200-2-2-2-2-2-2-2-200000000000000002222-2-2-200000000000000
χ18222222-2-222-22222222222222200-2-2-2-2-2-2-2-20000000000000000-2-2-2-222200000000000000
χ192222-2-22222-222-2-2-2-2-2-2-2-2222200-2-2-2-22222000000000000000022-2-222-200000000000000
χ202222-2-22222-222-2-2-2-2-2-2-2-2222200-2-2-2-222220000000000000000-2-222-2-2200000000000000
χ2122-2-22-200220222222-2-2-2-2-2-2-2-2000000000000000000000000002-22-20002−22−22−22−2000000
χ2222-2-22-200220222222-2-2-2-2-2-2-2-2000000000000000000000000002-22-2000−22−22−22−22000000
χ2322-2-22-200220222222-2-2-2-2-2-2-2-200000000000000000000000000-22-22000−i2i2−i2i2i2−i2i2−i2000000
χ2422-2-22-200220222222-2-2-2-2-2-2-2-200000000000000000000000000-22-22000i2−i2i2−i2−i2i2−i2i2000000
χ2522-2-2-220022022-2-2-2-22222-2-2-2-2000000000000000000000000002-2-22000−i2i2i2−i2−i2i2i2−i2000000
χ2622-2-2-220022022-2-2-2-22222-2-2-2-2000000000000000000000000002-2-22000i2−i2−i2i2i2−i2−i2i2000000
χ2722-2-2-220022022-2-2-2-22222-2-2-2-200000000000000000000000000-222-20002−2−22−222−2000000
χ2822-2-2-220022022-2-2-2-22222-2-2-2-200000000000000000000000000-222-2000−222−22−2−22000000
χ29444444441-241-211-2-211-2-21-21-24411-2-211-2-21111-2-2-2-21111-2-2-2-2000000000000000000000
χ30444444441-241-211-2-211-2-21-21-2-4-411-2-211-2-2-1-1-1-12222-1-1-1-12222000000000000000000000
χ3144444444-214-21-2-211-2-211-21-2144-2-211-2-211-2-2-2-21111-2-2-2-21111000000000000000000000
χ3244444444-214-21-2-211-2-211-21-21-4-4-2-211-2-2112222-1-1-1-12222-1-1-1-1000000000000000000000
χ33444444-4-41-2-41-211-2-211-2-21-21-200-1-122-1-12233-3-3000033-3-30000000000000000000000000
χ34444444-4-41-2-41-211-2-211-2-21-21-200-1-122-1-122-3-3330000-3-3330000000000000000000000000
χ35444444-4-4-21-4-21-2-211-2-211-21-210022-1-122-1-1000033-3-3000033-3-3000000000000000000000
χ36444444-4-4-21-4-21-2-211-2-211-21-210022-1-122-1-10000-3-3330000-3-333000000000000000000000
χ374444-4-4441-2-41-2-1-122-1-1221-21-200-1-12211-2-233-3-30000-3-3330000000000000000000000000
χ384444-4-4441-2-41-2-1-122-1-1221-21-200-1-12211-2-2-3-333000033-3-30000000000000000000000000
χ394444-4-444-21-4-2122-1-122-1-1-21-210022-1-1-2-211000033-3-30000-3-333000000000000000000000
χ404444-4-444-21-4-2122-1-122-1-1-21-210022-1-1-2-2110000-3-333000033-3-3000000000000000000000
χ414444-4-4-4-41-241-2-1-122-1-1221-21-24-411-2-2-1-1221111-2-2-2-2-1-1-1-12222000000000000000000000
χ424444-4-4-4-41-241-2-1-122-1-1221-21-2-4411-2-2-1-122-1-1-1-122221111-2-2-2-2000000000000000000000
χ434444-4-4-4-4-214-2122-1-122-1-1-21-214-4-2-21122-1-1-2-2-2-211112222-1-1-1-1000000000000000000000
χ444444-4-4-4-4-214-2122-1-122-1-1-21-21-44-2-21122-1-12222-1-1-1-1-2-2-2-21111000000000000000000000
χ454-44-40000440-4-400000000-4-4440000000000000000000000000000004i−4i000000000000000
χ464-44-40000440-4-400000000-4-444000000000000000000000000000000−4i4i000000000000000
χ474-4-44004-41-20-123-3003-3001-2-12003-3001-12-23−33−30023−233−33−323−2300000000000000000000000
χ484-4-44004-41-20-123-3003-3001-2-12003-3001-12-2−33−3300−2323−33−33−232300000000000000000000000
χ494-4-44004-41-20-12-3300-33001-2-1200-33001-12-23−3−3323−2300−333−30023−23000000000000000000000
χ504-4-44004-41-20-12-3300-33001-2-1200-33001-12-2−333−3−2323003−3−3300−2323000000000000000000000
χ514-4-44004-4440-4-40000000044-4-40000004-4-440000000000000000000000000000000000000
χ524-4-44004-4-2102-1003-3003-3-212-100003-3-22-110023−233−3−3323−2300−333−3000000000000000000000
χ534-4-44004-4-2102-1003-3003-3-212-100003-3-22-1100−2323−333−3−2323003−3−33000000000000000000000
χ544-4-44004-4-2102-100-3300-33-212-10000-33-22-1123−2300−33−330023−23−33−33000000000000000000000
χ554-4-44004-4-2102-100-3300-33-212-10000-33-22-11−2323003−33−300−23233−33−3000000000000000000000
χ564-4-4400-441-20-123-3003-3001-2-1200-3300-11-223−3−3323−23003−3−3300−2323000000000000000000000
χ574-4-4400-441-20-123-3003-3001-2-1200-3300-11-22−333−3−232300−333−30023−23000000000000000000000
χ584-4-4400-441-20-12-3300-33001-2-12003-300-11-223−33−30023−23−33−33−232300000000000000000000000
χ594-4-4400-441-20-12-3300-33001-2-12003-300-11-22−33−3300−23233−33−323−2300000000000000000000000
χ604-4-4400-44440-4-40000000044-4-4000000-444-40000000000000000000000000000000000000
χ614-4-4400-44-2102-1003-3003-3-212-10000-332-21-123−2300−33−3300−23233−33−3000000000000000000000
χ624-4-4400-44-2102-1003-3003-3-212-10000-332-21-1−2323003−33−30023−23−33−33000000000000000000000
χ634-4-4400-44-2102-100-3300-33-212-100003-32-21-10023−233−3−33−2323003−3−33000000000000000000000
χ644-4-4400-44-2102-100-3300-33-212-100003-32-21-100−2323−333−323−2300−333−3000000000000000000000
χ6588-8-88-8002-402-422-4-4-2-244-24-2400000000000000000000000000000000000000000000000
χ6688-8-88-800-420-42-4-42244-2-24-24-200000000000000000000000000000000000000000000000
χ6788-8-8-88002-402-4-2-24422-4-4-24-2400000000000000000000000000000000000000000000000
χ6888-8-8-8800-420-4244-2-2-4-4224-24-200000000000000000000000000000000000000000000000
χ698-88-800002-40-246-600-6600-242-400000000000000000000000000000000000000000000000
χ708-88-800002-40-24-66006-600-242-400000000000000000000000000000000000000000000000
χ718-88-80000-4204-2006-600-664-2-4200000000000000000000000000000000000000000000000
χ728-88-80000-4204-200-66006-64-2-4200000000000000000000000000000000000000000000000

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