Finite Group Databasebeta

← Group #11790769

Character table — Group #11790769

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order1222222233446666666666666612121212121212124444222244446666666612121212121212124488888888
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
χ91-1-11-1-111111-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-1ii−i−iii−i−i
χ101-1-11-1-111111-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-1−i−iii−i−iii
χ111-1-11-1-111111-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i1-1−i−iii−i−iii
χ121-1-11-1-111111-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii1-1ii−i−iii−i−i
χ131-1-11-1-11111-1111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-11ii−i−i−i−iii
χ141-1-11-1-11111-1111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-11−i−iiiii−i−i
χ151-1-11-1-11111-1111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-11−i−iiiii−i−i
χ161-1-11-1-11111-1111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-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
χ19222-2-2-22-222002-2222-222-2-2-2-2-2-2000000002-22-20000000000000000000000000000002i−2i2i−2i
χ20222-2-2-22-222002-2222-222-2-2-2-2-2-2000000002-22-2000000000000000000000000000000−2i2i−2i2i
χ21222-2-2-22-222002-2222-222-2-2-2-2-2-200000000-22-22000000000000000000000000002i−2i2i−2i0000
χ22222-2-2-22-222002-2222-222-2-2-2-2-2-200000000-22-2200000000000000000000000000−2i2i−2i2i0000
χ232-2-22-2-222222-222-2-222-2-2-2-222-2-22222-2-2-2-2-2-222000000000000000000000000-2200000000
χ242-2-22-2-22222-2222-2-222-2-2-2-222-2-2-2-2-2-22222-2-2220000000000000000000000002-200000000
χ252-2-2-2222-222002-2-2-22-2-2-222-2-222000000002-2-220000000000000000000000000000002-2-22
χ262-2-2-2222-222002-2-2-22-2-2-222-2-222000000002-2-22000000000000000000000000000000-222-2
χ272-2-2-2222-222002-2-2-22-2-2-222-2-22200000000-222-2000000000000000000000000002-2-220000
χ282-2-2-2222-222002-2-2-22-2-2-222-2-22200000000-222-200000000000000000000000000-222-20000
χ29444444441-2441111-2-2-2-2-2-21-21111-2-211-2-200000000222200000000-1-1-1-1-1-1-1-10000000000
χ30444444441-2441111-2-2-2-2-2-21-21111-2-211-2-200000000-2-2-2-200000000111111110000000000
χ31444444441-2-4-41111-2-2-2-2-2-21-211-1-122-1-1220000000022-2-200000000-1-1-1-111110000000000
χ32444444441-2-4-41111-2-2-2-2-2-21-211-1-122-1-12200000000-2-222000000001111-1-1-1-10000000000
χ3344444444-2144-2-2-2-2111111-21-2-2-2-211-2-211000022220000-1-1-1-1-1-1-1-1000000000000000000
χ3444444444-2144-2-2-2-2111111-21-2-2-2-211-2-2110000-2-2-2-2000011111111000000000000000000
χ3544444444-21-4-4-2-2-2-2111111-21-2-222-1-122-1-1000022-2-20000-1-1-1-11111000000000000000000
χ3644444444-21-4-4-2-2-2-2111111-21-2-222-1-122-1-10000-2-22200001111-1-1-1-1000000000000000000
χ3744-444-4-4-44400-4-44-4-4-44-44-4444-40000000000000000000000000000000000000000000000
χ3844-444-4-4-4-210022-22-1-11-11-1-21-22003-3003-3000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000
χ3944-444-4-4-4-210022-22-1-11-11-1-21-22003-3003-3000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000
χ4044-444-4-4-4-210022-22-1-11-11-1-21-2200-3300-33000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000
χ4144-444-4-4-4-210022-22-1-11-11-1-21-2200-3300-33000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000
χ4244-4-4-44-441-200-111-12-2-222-2-12-113i−3i003i−3i00000000000000000000003−33−3−i3i3−i3i30000000000
χ4344-4-4-44-441-200-111-12-2-222-2-12-113i−3i003i−3i0000000000000000000000−33−33i3−i3i3−i30000000000
χ4444-4-4-44-441-200-111-12-2-222-2-12-11−3i3i00−3i3i00000000000000000000003−33−3i3−i3i3−i30000000000
χ4544-4-4-44-441-200-111-12-2-222-2-12-11−3i3i00−3i3i0000000000000000000000−33−33−i3i3−i3i30000000000
χ4644-4-4-44-444400-444-4-444-4-44-4-4-440000000000000000000000000000000000000000000000
χ474-444-44-4-44400-4-4-44-4-4-44-4444-440000000000000000000000000000000000000000000000
χ484-444-44-4-4-2100222-2-1-1-11-11-212-2003-300-33000000000000−i3i3i3−i3−i3i3i3−i3000000000000000000
χ494-444-44-4-4-2100222-2-1-1-11-11-212-2003-300-33000000000000i3−i3−i3i3i3−i3−i3i3000000000000000000
χ504-444-44-4-4-2100222-2-1-1-11-11-212-200-33003-3000000000000−i3i3i3−i3i3−i3−i3i3000000000000000000
χ514-444-44-4-4-2100222-2-1-1-11-11-212-200-33003-3000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000
χ524-44-44-4-441-200-11-112-22-2-22-121-13i−3i00−3i3i0000000000000000000000−i3i3i3−i3−333−30000000000
χ534-44-44-4-441-200-11-112-22-2-22-121-13i−3i00−3i3i0000000000000000000000i3−i3−i3i33−3−330000000000
χ544-44-44-4-441-200-11-112-22-2-22-121-1−3i3i003i−3i0000000000000000000000−i3i3i3−i33−3−330000000000
χ554-44-44-4-441-200-11-112-22-2-22-121-1−3i3i003i−3i0000000000000000000000i3−i3−i3i3−333−30000000000
χ564-44-44-4-444400-44-44-44-444-4-4-44-40000000000000000000000000000000000000000000000
χ574-4-44-4-4441-24-411-1-1-2-222221-2-1-111-2-2-1-122000000002i−2i2i−2i00000000−i−iii−i−iii0000000000
χ584-4-44-4-4441-24-411-1-1-2-222221-2-1-111-2-2-1-12200000000−2i2i−2i2i00000000ii−i−iii−i−i0000000000
χ594-4-44-4-4441-2-4411-1-1-2-222221-2-1-1-1-12211-2-2000000002i−2i−2i2i00000000−i−iiiii−i−i0000000000
χ604-4-44-4-4441-2-4411-1-1-2-222221-2-1-1-1-12211-2-200000000−2i2i2i−2i00000000ii−i−i−i−iii0000000000
χ614-4-44-4-444-214-4-2-22211-1-1-1-1-2122-2-21122-1-100002-22-20000-1-111-1-111000000000000000000
χ624-4-44-4-444-214-4-2-22211-1-1-1-1-2122-2-21122-1-10000-22-22000011-1-111-1-1000000000000000000
χ634-4-44-4-444-21-44-2-22211-1-1-1-1-212222-1-1-2-21100002-2-220000-1-11111-1-1000000000000000000
χ644-4-44-4-444-21-44-2-22211-1-1-1-1-212222-1-1-2-2110000-222-2000011-1-1-1-111000000000000000000
χ65888-8-8-88-82-4002-222-44-4-444-24-2-20000000000000000000000000000000000000000000000
χ66888-8-8-88-8-4200-44-4-42-222-2-24-2440000000000000000000000000000000000000000000000
χ6788-888-8-8-82-400-2-22-244-44-442-42-20000000000000000000000000000000000000000000000
χ6888-8-8-88-88-42004-4-44-222-2-224-24-40000000000000000000000000000000000000000000000
χ698-888-88-8-82-400-2-2-22444-44-42-4-220000000000000000000000000000000000000000000000
χ708-88-88-8-88-42004-44-4-22-222-24-2-440000000000000000000000000000000000000000000000
χ718-8-8-8888-82-4002-2-2-2-4444-4-4-24220000000000000000000000000000000000000000000000
χ728-8-8-8888-8-4200-44442-2-2-2224-2-4-40000000000000000000000000000000000000000000000

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