Finite Group Databasebeta

← Group #11790744

Character table — Group #11790744

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
χ91-1-11-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-11-1ii−i−iii−i−i
χ101-1-11-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-111-1-1i−ii−i-11-11ii−i−iii−i−i-1-111-1-1111-1−i−iii−i−iii
χ111-1-11-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-111-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-11-1−i−iii−i−iii
χ121-1-11-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-111-1-1−ii−ii-11-11−i−iii−i−iii-1-111-1-1111-1ii−i−iii−i−i
χ131-1-11-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-1111111-1-1i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111-11ii−i−i−i−iii
χ141-1-11-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-1111111-1-1i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-11−i−iiiii−i−i
χ151-1-11-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-1111111-1-1−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111-11−i−iiiii−i−i
χ161-1-11-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-1111111-1-1−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-11ii−i−i−i−iii
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ19222-2-2-2-2222002-2-22222-2-2-2-2-2-22000000002-22-20000000000000000000000000000002i−2i2i−2i
χ20222-2-2-2-2222002-2-22222-2-2-2-2-2-22000000002-22-2000000000000000000000000000000−2i2i−2i2i
χ21222-2-2-2-2222002-2-22222-2-2-2-2-2-2200000000-22-22000000000000000000000000002i−2i2i−2i0000
χ22222-2-2-2-2222002-2-22222-2-2-2-2-2-2200000000-22-2200000000000000000000000000−2i2i−2i2i0000
χ232-2-22-2-222222-2222-2-2-2-2-2-222-2-222222-2-2-2-2-2-222000000000000000000000000-2200000000
χ242-2-22-2-22222-22222-2-2-2-2-2-222-2-22-2-2-2-22222-2-2220000000000000000000000002-200000000
χ252-2-2-222-2222002-2-2-2-2-2-222-2-2222000000002-2-220000000000000000000000000000002-2-22
χ262-2-2-222-2222002-2-2-2-2-2-222-2-2222000000002-2-22000000000000000000000000000000-222-2
χ272-2-2-222-2222002-2-2-2-2-2-222-2-222200000000-222-2000000000000000000000000002-2-220000
χ282-2-2-222-2222002-2-2-2-2-2-222-2-222200000000-222-200000000000000000000000000-222-20000
χ29444444441-24411-211-2-2-2-21-211-211-2-211-2-2000022220000-1-1-1-1-1-1-1-1000000000000000000
χ30444444441-24411-211-2-2-2-21-211-211-2-211-2-20000-2-2-2-2000011111111000000000000000000
χ31444444441-2-4-411-211-2-2-2-21-211-2-1-122-1-122000022-2-20000-1-1-1-11111000000000000000000
χ32444444441-2-4-411-211-2-2-2-21-211-2-1-122-1-1220000-2-22200001111-1-1-1-1000000000000000000
χ3344444444-2144-2-21-2-21111-21-2-21-2-211-2-21100000000222200000000-1-1-1-1-1-1-1-10000000000
χ3444444444-2144-2-21-2-21111-21-2-21-2-211-2-21100000000-2-2-2-200000000111111110000000000
χ3544444444-21-4-4-2-21-2-21111-21-2-2122-1-122-1-10000000022-2-200000000-1-1-1-111110000000000
χ3644444444-21-4-4-2-21-2-21111-21-2-2122-1-122-1-100000000-2-222000000001111-1-1-1-10000000000
χ3744-444-4-4-44400-4-4-44-44-44-4444-4-40000000000000000000000000000000000000000000000
χ3844-444-4-4-4-210022-1-221-11-1-21-22-1003-3003-3000000000000000000003−33−33−33−30000000000
χ3944-444-4-4-4-210022-1-221-11-1-21-22-1003-3003-300000000000000000000−33−33−33−330000000000
χ4044-444-4-4-4-210022-1-221-11-1-21-22-100-3300-33000000000000000000003−33−3−33−330000000000
χ4144-444-4-4-4-210022-1-221-11-1-21-22-100-3300-3300000000000000000000−33−333−33−30000000000
χ4244-4-4-444-41-200-11-21-1-222-2-12-1123i−3i003i−3i000000000000003−33−3−i3i3−i3i3000000000000000000
χ4344-4-4-444-41-200-11-21-1-222-2-12-1123i−3i003i−3i00000000000000−33−33i3−i3i3−i3000000000000000000
χ4444-4-4-444-41-200-11-21-1-222-2-12-112−3i3i00−3i3i000000000000003−33−3i3−i3i3−i3000000000000000000
χ4544-4-4-444-41-200-11-21-1-222-2-12-112−3i3i00−3i3i00000000000000−33−33−i3i3−i3i3000000000000000000
χ4644-4-4-444-44400-4444-44-4-44-4-4-44-40000000000000000000000000000000000000000000000
χ474-444-44-4-44400-4-4-4-44-44-4444-44-40000000000000000000000000000000000000000000000
χ484-444-44-4-4-210022-12-2-11-11-212-2-1003-300-33000000000000000000003−3−333−3−330000000000
χ494-444-44-4-4-210022-12-2-11-11-212-2-1003-300-3300000000000000000000−333−3−333−30000000000
χ504-444-44-4-4-210022-12-2-11-11-212-2-100-33003-3000000000000000000003−3−33−333−30000000000
χ514-444-44-4-4-210022-12-2-11-11-212-2-100-33003-300000000000000000000−333−33−3−330000000000
χ524-44-44-44-41-200-11-2-112-2-22-121-123i−3i00−3i3i00000000000000−i3i3i3−i3−333−3000000000000000000
χ534-44-44-44-41-200-11-2-112-2-22-121-123i−3i00−3i3i00000000000000i3−i3−i3i33−3−33000000000000000000
χ544-44-44-44-41-200-11-2-112-2-22-121-12−3i3i003i−3i00000000000000−i3i3i3−i33−3−33000000000000000000
χ554-44-44-44-41-200-11-2-112-2-22-121-12−3i3i003i−3i00000000000000i3−i3−i3i3−333−3000000000000000000
χ564-44-44-44-44400-444-44-444-4-4-44-4-40000000000000000000000000000000000000000000000
χ574-4-44-4-4441-24-411-2-1-122221-2-1-1-211-2-2-1-12200002i−2i2i−2i0000−i−iii−i−iii000000000000000000
χ584-4-44-4-4441-24-411-2-1-122221-2-1-1-211-2-2-1-1220000−2i2i−2i2i0000ii−i−iii−i−i000000000000000000
χ594-4-44-4-4441-2-4411-2-1-122221-2-1-1-2-1-12211-2-200002i−2i−2i2i0000−i−iiiii−i−i000000000000000000
χ604-4-44-4-4441-2-4411-2-1-122221-2-1-1-2-1-12211-2-20000−2i2i2i−2i0000ii−i−i−i−iii000000000000000000
χ614-4-44-4-444-214-4-2-2122-1-1-1-1-21221-2-21122-1-1000000002-22-200000000-1-111-1-1110000000000
χ624-4-44-4-444-214-4-2-2122-1-1-1-1-21221-2-21122-1-100000000-22-220000000011-1-111-1-10000000000
χ634-4-44-4-444-21-44-2-2122-1-1-1-1-2122122-1-1-2-211000000002-2-2200000000-1-11111-1-10000000000
χ644-4-44-4-444-21-44-2-2122-1-1-1-1-2122122-1-1-2-21100000000-222-20000000011-1-1-1-1110000000000
χ65888-8-8-8-882-4002-2422-4-444-24-2-2-40000000000000000000000000000000000000000000000
χ66888-8-8-8-88-4200-44-2-4-422-2-24-24420000000000000000000000000000000000000000000000
χ6788-888-8-8-82-400-2-242-2-44-442-42-240000000000000000000000000000000000000000000000
χ6888-8-8-888-8-42004-42-442-2-224-24-4-20000000000000000000000000000000000000000000000
χ698-888-88-8-82-400-2-24-224-44-42-4-2240000000000000000000000000000000000000000000000
χ708-88-88-88-8-42004-424-4-222-24-2-44-20000000000000000000000000000000000000000000000
χ718-8-8-888-882-4002-24-2-244-4-4-2422-40000000000000000000000000000000000000000000000
χ728-8-8-888-88-4200-44-244-2-2224-2-4-420000000000000000000000000000000000000000000000

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