Finite Group Databasebeta

← Group #11786083

Character table — Group #11786083

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ91-11-1-111-1111-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-111-1-111-1-1
χ101-11-1-111-1111-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii1-1-1-111-1-111
χ111-11-1-111-1111-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i1-1-1-111-1-111
χ121-11-1-111-1111-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-111-1-111-1-1
χ131-11-1-111-111-111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1111-1-1-1-111
χ141-11-1-111-111-111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-11-1-11111-1-1
χ151-11-1-111-111-111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-11-1-11111-1-1
χ161-11-1-111-111-111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ1922-2-2-22-22220022-2-2222-2-2-2-2-2-22000000002-22-20000000000000000000000000000002i−2i2i−2i
χ2022-2-2-22-22220022-2-2222-2-2-2-2-2-22000000002-22-2000000000000000000000000000000−2i2i−2i2i
χ2122-2-2-22-22220022-2-2222-2-2-2-2-2-2200000000-22-22000000000000000000000000002i−2i2i−2i0000
χ2222-2-2-22-22220022-2-2222-2-2-2-2-2-2200000000-22-2200000000000000000000000000−2i2i−2i2i0000
χ232-22-2-222-2222-22222-2-2-2-2-222-2-2-22222-2-2-2-222-2-2000000000000000000000000-2200000000
χ242-22-2-222-222-222222-2-2-2-2-222-2-2-2-2-2-2-2222222-2-20000000000000000000000002-200000000
χ252-2-2222-2-2220022-2-2-2-2-222-2-222-2000000002-2-22000000000000000000000000002i−2i−2i2i0000
χ262-2-2222-2-2220022-2-2-2-2-222-2-222-2000000002-2-2200000000000000000000000000−2i2i2i−2i0000
χ272-2-2222-2-2220022-2-2-2-2-222-2-222-200000000-222-20000000000000000000000000000002i−2i−2i2i
χ282-2-2222-2-2220022-2-2-2-2-222-2-222-200000000-222-2000000000000000000000000000000−2i2i2i−2i
χ29444444441-2441-21-211-2-2-21-211-211-2-211-2-2000022220000-1-1-1-1-1-1-1-1000000000000000000
χ30444444441-2441-21-211-2-2-21-211-211-2-211-2-20000-2-2-2-2000011111111000000000000000000
χ31444444441-2-4-41-21-211-2-2-21-211-2-1-122-1-122000022-2-20000-1-1-1-11111000000000000000000
χ32444444441-2-4-41-21-211-2-2-21-211-2-1-122-1-1220000-2-22200001111-1-1-1-1000000000000000000
χ3344444444-2144-21-21-2-2111-21-2-21-2-211-2-21100000000222200000000-1-1-1-1-1-1-1-10000000000
χ3444444444-2144-21-21-2-2111-21-2-21-2-211-2-21100000000-2-2-2-200000000111111110000000000
χ3544444444-21-4-4-21-21-2-2111-21-2-2122-1-122-1-10000000022-2-200000000-1-1-1-111110000000000
χ3644444444-21-4-4-21-21-2-2111-21-2-2122-1-122-1-100000000-2-222000000001111-1-1-1-10000000000
χ374444-4-4-4-44400-4-4-4-44-444-4444-4-40000000000000000000000000000000000000000000000
χ384444-4-4-4-4-21002-12-1-2211-1-21-22-1003-3003-3000000000000000000003−33−33−33−30000000000
χ394444-4-4-4-4-21002-12-1-2211-1-21-22-1003-3003-300000000000000000000−33−33−33−330000000000
χ404444-4-4-4-4-21002-12-1-2211-1-21-22-100-3300-33000000000000000000003−33−3−33−330000000000
χ414444-4-4-4-4-21002-12-1-2211-1-21-22-100-3300-3300000000000000000000−33−333−33−30000000000
χ4244-4-44-44-41-200-121-21-1-22-2-12-1123i−3i003i−3i000000000000003−33−3−i3i3−i3i3000000000000000000
χ4344-4-44-44-41-200-121-21-1-22-2-12-1123i−3i003i−3i00000000000000−33−33i3−i3i3−i3000000000000000000
χ4444-4-44-44-41-200-121-21-1-22-2-12-112−3i3i00−3i3i000000000000003−33−3i3−i3i3−i3000000000000000000
χ4544-4-44-44-41-200-121-21-1-22-2-12-112−3i3i00−3i3i00000000000000−33−33−i3i3−i3i3000000000000000000
χ4644-4-44-44-44400-4-4444-44-44-4-4-44-40000000000000000000000000000000000000000000000
χ474-44-44-4-444400-4-4-4-4-44-4-4444-4440000000000000000000000000000000000000000000000
χ484-44-44-4-44-21002-12-12-2-1-11-212-21003-300-3300000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ494-44-44-4-44-21002-12-12-2-1-11-212-21003-300-3300000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ504-44-44-4-44-21002-12-12-2-1-11-212-2100-33003-300000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ514-44-44-4-44-21002-12-12-2-1-11-212-2100-33003-300000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ524-44-4-444-41-24-41-21-2-1-12221-2-1-1211-2-2-1-12200002i−2i2i−2i0000−i−iii−i−iii000000000000000000
χ534-44-4-444-41-24-41-21-2-1-12221-2-1-1211-2-2-1-1220000−2i2i−2i2i0000ii−i−iii−i−i000000000000000000
χ544-44-4-444-41-2-441-21-2-1-12221-2-1-12-1-12211-2-200002i−2i−2i2i0000−i−iiiii−i−i000000000000000000
χ554-44-4-444-41-2-441-21-2-1-12221-2-1-12-1-12211-2-20000−2i2i2i−2i0000ii−i−i−i−iii000000000000000000
χ564-44-4-444-4-214-4-21-2122-1-1-1-2122-1-2-21122-1-1000000002i−2i2i−2i00000000−i−iii−i−iii0000000000
χ574-44-4-444-4-214-4-21-2122-1-1-1-2122-1-2-21122-1-100000000−2i2i−2i2i00000000ii−i−iii−i−i0000000000
χ584-44-4-444-4-21-44-21-2122-1-1-1-2122-122-1-1-2-211000000002i−2i−2i2i00000000−i−iiiii−i−i0000000000
χ594-44-4-444-4-21-44-21-2122-1-1-1-2122-122-1-1-2-21100000000−2i2i2i−2i00000000ii−i−i−i−iii0000000000
χ604-4-44-4-4441-200-121-2-112-22-121-1-23i−3i00−3i3i00000000000000−i3i3i3−i3−333−3000000000000000000
χ614-4-44-4-4441-200-121-2-112-22-121-1-23i−3i00−3i3i00000000000000i3−i3−i3i33−3−33000000000000000000
χ624-4-44-4-4441-200-121-2-112-22-121-1-2−3i3i003i−3i00000000000000−i3i3i3−i33−3−33000000000000000000
χ634-4-44-4-4441-200-121-2-112-22-121-1-2−3i3i003i−3i00000000000000i3−i3−i3i3−333−3000000000000000000
χ644-4-44-4-4444400-4-444-44-44-4-4-44-440000000000000000000000000000000000000000000000
χ658888-8-8-8-82-400-24-242-2-4-442-42-240000000000000000000000000000000000000000000000
χ6688-8-88-88-8-42004-2-42-442-224-24-4-20000000000000000000000000000000000000000000000
χ6788-8-8-88-882-4002-4-2422-444-24-2-2-40000000000000000000000000000000000000000000000
χ6888-8-8-88-88-4200-424-2-4-42-2-24-24420000000000000000000000000000000000000000000000
χ698-88-88-8-882-400-24-24-2244-42-4-22-40000000000000000000000000000000000000000000000
χ708-8-8888-8-82-4002-4-24-2-24-4-4-242240000000000000000000000000000000000000000000000
χ718-8-8888-8-8-4200-424-244-2224-2-4-4-20000000000000000000000000000000000000000000000
χ728-8-88-8-888-42004-2-424-4-22-24-2-4420000000000000000000000000000000000000000000000

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