Finite Group Databasebeta

← Group #11775575

Character table — Group #11775575

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888888888888888888888181818181818363636363636363636727272727272
order12222244334666666666666662266666666666666661212121212121212222244488888888444444
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
χ51111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-1-1-11111111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11ii−i−iii−i−i1-1i−ii−i
χ101111-1-1-1-11111111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11−i−iii−i−iii1-1−ii−ii
χ111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-1-111-111-1-11
χ121111-1-1-1-11111111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-11-111-1
χ131111-1-1-1-11111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11ii−i−iii−i−i-11−ii−ii
χ141111-1-1-1-11111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11−i−iii−i−iii-11i−ii−i
χ151111-1-1-1-11111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-111-1-1-1-1111-1-111-1
χ161111-1-1-1-11111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-11111-1-11-11-1-11
χ17222222-2-222-222222222222222000000000000000000-2-2-2-2-2-2-2-22222-2-2-200000000000000
χ18222222-2-222-222222222222222000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222200000000000000
χ192222-2-22222-22222-2-2-2-2-2-2-2-222000000000000000000-2-2-2-2222222-2-222-200000000000000
χ202222-2-22222-22222-2-2-2-2-2-2-2-222000000000000000000-2-2-2-22222-2-222-2-2200000000000000
χ212-2-222-20022022-2-22222-2-2-2-2-2-2000000000000000000000000002-22-2000−i2i2−i2i2−i2i2−i2i2000000
χ222-2-222-20022022-2-22222-2-2-2-2-2-2000000000000000000000000002-22-2000i2−i2i2−i2i2−i2i2−i2000000
χ232-2-222-20022022-2-22222-2-2-2-2-2-200000000000000000000000000-22-220002−22−2−22−22000000
χ242-2-222-20022022-2-22222-2-2-2-2-2-200000000000000000000000000-22-22000−22−222−22−2000000
χ252-2-22-220022022-2-2-2-2-2-22222-2-2000000000000000000000000002-2-220002−2−222−2−22000000
χ262-2-22-220022022-2-2-2-2-2-22222-2-2000000000000000000000000002-2-22000−222−2−222−2000000
χ272-2-22-220022022-2-2-2-2-2-22222-2-200000000000000000000000000-222-2000−i2i2i2−i2i2−i2−i2i2000000
χ282-2-22-220022022-2-2-2-2-2-22222-2-200000000000000000000000000-222-2000i2−i2−i2i2−i2i2i2−i2000000
χ29444444441-241-21-211-2-211-2-21-2441111-2-2-2-21111-2-2-2-211-2-211-2-2000000000000000000000
χ30444444441-241-21-211-2-211-2-21-2-4-4-1-1-1-12222-1-1-1-1222211-2-211-2-2000000000000000000000
χ3144444444-214-21-21-2-211-2-211-2144-2-2-2-21111-2-2-2-21111-2-211-2-211000000000000000000000
χ3244444444-214-21-21-2-211-2-211-21-4-42222-1-1-1-12222-1-1-1-1-2-211-2-211000000000000000000000
χ33444444-4-41-2-41-21-211-2-211-2-21-20033-3-3000033-3-30000-1-122-1-122000000000000000000000
χ34444444-4-41-2-41-21-211-2-211-2-21-200-3-3330000-3-3330000-1-122-1-122000000000000000000000
χ35444444-4-4-21-4-21-21-2-211-2-211-2100000033-3-3000033-3-322-1-122-1-1000000000000000000000
χ36444444-4-4-21-4-21-21-2-211-2-211-21000000-3-3330000-3-33322-1-122-1-1000000000000000000000
χ374444-4-4441-2-41-21-2-1-122-1-1221-20033-3-30000-3-3330000-1-12211-2-2000000000000000000000
χ384444-4-4441-2-41-21-2-1-122-1-1221-200-3-333000033-3-30000-1-12211-2-2000000000000000000000
χ394444-4-444-21-4-21-2122-1-122-1-1-2100000033-3-30000-3-33322-1-1-2-211000000000000000000000
χ404444-4-444-21-4-21-2122-1-122-1-1-21000000-3-333000033-3-322-1-1-2-211000000000000000000000
χ414444-4-4-4-41-241-21-2-1-122-1-1221-24-41111-2-2-2-2-1-1-1-1222211-2-2-1-122000000000000000000000
χ424444-4-4-4-41-241-21-2-1-122-1-1221-2-44-1-1-1-122221111-2-2-2-211-2-2-1-122000000000000000000000
χ434444-4-4-4-4-214-21-2122-1-122-1-1-214-4-2-2-2-211112222-1-1-1-1-2-21122-1-1000000000000000000000
χ444444-4-4-4-4-214-21-2122-1-122-1-1-21-442222-1-1-1-1-2-2-2-21111-2-21122-1-1000000000000000000000
χ4544-4-40000440-4-44400000000-4-40000000000000000000000000000004i−4i000000000000000
χ4644-4-40000440-4-44400000000-4-4000000000000000000000000000000−4i4i000000000000000
χ474-44-4004-41-20-12-123-3003-3001-200−i3i3−i3i300−2i32i3−i3i3−i3i3−2i32i3003-3001-12-2000000000000000000000
χ484-44-4004-41-20-12-123-3003-3001-200i3−i3i3−i3002i3−2i3i3−i3i3−i32i3−2i3003-3001-12-2000000000000000000000
χ494-44-4004-41-20-12-12-3300-33001-200−i3i3i3−i3−2i32i300i3−i3−i3i300−2i32i3-33001-12-2000000000000000000000
χ504-44-4004-41-20-12-12-3300-33001-200i3−i3−i3i32i3−2i300−i3i3i3−i3002i3−2i3-33001-12-2000000000000000000000
χ514-44-4004-4440-4-4-4-4000000004400000000000000000000004-4-44000000000000000000000
χ524-44-4004-4-2102-12-1003-3003-3-210000−2i32i3−i3i3i3−i3−2i32i300i3−i3−i3i3003-3-22-11000000000000000000000
χ534-44-4004-4-2102-12-1003-3003-3-2100002i3−2i3i3−i3−i3i32i3−2i300−i3i3i3−i3003-3-22-11000000000000000000000
χ544-44-4004-4-2102-12-100-3300-33-2100−2i32i300i3−i3i3−i300−2i32i3i3−i3i3−i300-33-22-11000000000000000000000
χ554-44-4004-4-2102-12-100-3300-33-21002i3−2i300−i3i3−i3i3002i3−2i3−i3i3−i3i300-33-22-11000000000000000000000
χ564-44-400-441-20-12-123-3003-3001-200−i3i3i3−i3−2i32i300−i3i3i3−i3002i3−2i3-3300-11-22000000000000000000000
χ574-44-400-441-20-12-123-3003-3001-200i3−i3−i3i32i3−2i300i3−i3−i3i300−2i32i3-3300-11-22000000000000000000000
χ584-44-400-441-20-12-12-3300-33001-200−i3i3−i3i300−2i32i3i3−i3i3−i32i3−2i3003-300-11-22000000000000000000000
χ594-44-400-441-20-12-12-3300-33001-200i3−i3i3−i3002i3−2i3−i3i3−i3i3−2i32i3003-300-11-22000000000000000000000
χ604-44-400-44440-4-4-4-400000000440000000000000000000000-444-4000000000000000000000
χ614-44-400-44-2102-12-1003-3003-3-2100−2i32i300i3−i3i3−i3002i3−2i3−i3i3−i3i300-332-21-1000000000000000000000
χ624-44-400-44-2102-12-1003-3003-3-21002i3−2i300−i3i3−i3i300−2i32i3i3−i3i3−i300-332-21-1000000000000000000000
χ634-44-400-44-2102-12-100-3300-33-210000−2i32i3−i3i3i3−i32i3−2i300−i3i3i3−i3003-32-21-1000000000000000000000
χ644-44-400-44-2102-12-100-3300-33-2100002i3−2i3i3−i3−i3i3−2i32i300i3−i3−i3i3003-32-21-1000000000000000000000
χ6588-8-800002-40-242-46-600-6600-2400000000000000000000000000000000000000000000000
χ6688-8-800002-40-242-4-66006-600-2400000000000000000000000000000000000000000000000
χ6788-8-80000-4204-2-42006-600-664-200000000000000000000000000000000000000000000000
χ6888-8-80000-4204-2-4200-66006-64-200000000000000000000000000000000000000000000000
χ698-8-888-8002-402-4-2422-4-4-2-244-2400000000000000000000000000000000000000000000000
χ708-8-888-800-420-424-2-4-42244-2-24-200000000000000000000000000000000000000000000000
χ718-8-88-88002-402-4-24-2-24422-4-4-2400000000000000000000000000000000000000000000000
χ728-8-88-8800-420-424-244-2-2-4-4224-200000000000000000000000000000000000000000000000

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