Finite Group Databasebeta

← Group #11790216

Character table — Group #11790216

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ91-1-1111-1-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i1-11-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−ii−i11-1-1ii−i−i
χ101-1-1111-1-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i1-11-11-1-11i−i−ii11-1-1-1-111ii−i−i−i−iiii−i-1-111−i−iii
χ111-1-1111-1-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i1-11-1-111-1−iii−i-1-11111-1-1−i−iiiii−i−ii−i-1-111−i−iii
χ121-1-1111-1-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i1-11-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiii−i11-1-1ii−i−i
χ131-1-1111-1-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii1-11-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−ii11-1-1−i−iii
χ141-1-1111-1-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii1-11-11-1-11−iii−i11-1-1-1-111−i−iiiii−i−i−ii-1-111ii−i−i
χ151-1-1111-1-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii1-11-1-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii−ii-1-111ii−i−i
χ161-1-1111-1-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii1-11-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−ii11-1-1−i−iii
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ19222-2-22-2-2220022-2-22222-2-2-2-2-2-2000000002-2-220000000000000000000000000000002-22-2
χ20222-2-22-2-2220022-2-22222-2-2-2-2-2-2000000002-2-22000000000000000000000000000000-22-22
χ21222-2-22-2-2220022-2-22222-2-2-2-2-2-200000000-222-2000000000000000000000000002-22-20000
χ22222-2-22-2-2220022-2-22222-2-2-2-2-2-200000000-222-200000000000000000000000000-22-220000
χ232-2-2222-2-2222i−2i2222-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i-22-22000000000000000000000000−2i2i00000000
χ242-2-2222-2-222−2i2i2222-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i-22-220000000000000000000000002i−2i00000000
χ252-2-2-2-2222220022-2-2-2-2-2-222-2-2220000000022-2-20000000000000000000000000000002i−2i−2i2i
χ262-2-2-2-2222220022-2-2-2-2-2-222-2-2220000000022-2-2000000000000000000000000000000−2i2i2i−2i
χ272-2-2-2-2222220022-2-2-2-2-2-222-2-22200000000-2-222000000000000000000000000002-2-220000
χ282-2-2-2-2222220022-2-2-2-2-2-222-2-22200000000-2-22200000000000000000000000000-222-20000
χ29444444441-2441-21-211-2-21-21-21-211-2-211-2-20000002200220000-1-1-1-10000-1-1-1-10000000000
χ30444444441-2441-21-211-2-21-21-21-211-2-211-2-2000000-2-200-2-200001111000011110000000000
χ31444444441-2-4-41-21-211-2-21-21-21-2-1-122-1-1220000002200-2-20000-1-1-1-1000011110000000000
χ32444444441-2-4-41-21-211-2-21-21-21-2-1-122-1-122000000-2-20022000011110000-1-1-1-10000000000
χ3344444444-2144-21-21-2-211-21-21-21-2-211-2-211000022002200-1-1-1-10000-1-1-1-100000000000000
χ3444444444-2144-21-21-2-211-21-21-21-2-211-2-2110000-2-200-2-20011110000111100000000000000
χ3544444444-21-4-4-21-21-2-211-21-21-2122-1-122-1-100002200-2-200-1-1-1-10000111100000000000000
χ3644444444-21-4-4-21-21-2-211-21-21-2122-1-122-1-10000-2-200220011110000-1-1-1-100000000000000
χ3744-44-4-44-41-200-12-1-21-12-21-212-123i−3i003i−3i000000000000000000−i3i3−i3i300003−33−30000000000
χ3844-44-4-44-41-200-12-1-21-12-21-212-123i−3i003i−3i000000000000000000i3−i3i3−i30000−33−330000000000
χ3944-44-4-44-41-200-12-1-21-12-21-212-12−3i3i00−3i3i000000000000000000−i3i3−i3i30000−33−330000000000
χ4044-44-4-44-41-200-12-1-21-12-21-212-12−3i3i00−3i3i000000000000000000i3−i3i3−i300003−33−30000000000
χ4144-44-4-44-44400-4-4-444-4-44444-4-4-40000000000000000000000000000000000000000000000
χ4244-4-44-4-444400-4-44-44-4-44-4-4-44440000000000000000000000000000000000000000000000
χ4344-4-44-4-44-21002-1-2-1-22-112-121-21003-3003-3000000000000−i3i3−i3i30000−i3i3−i3i300000000000000
χ4444-4-44-4-44-21002-1-2-1-22-112-121-21003-3003-3000000000000i3−i3i3−i30000i3−i3i3−i300000000000000
χ4544-4-44-4-44-21002-1-2-1-22-112-121-2100-3300-33000000000000−i3i3−i3i30000i3−i3i3−i300000000000000
χ4644-4-44-4-44-21002-1-2-1-22-112-121-2100-3300-33000000000000i3−i3i3−i30000−i3i3−i3i300000000000000
χ474-444-4-4-441-200-12-1-2-11-22-12121-23-300-33000000000000000000−i3i3i3−i30000−i3i3i3−i30000000000
χ484-444-4-4-441-200-12-1-2-11-22-12121-23-300-33000000000000000000i3−i3−i3i30000i3−i3−i3i30000000000
χ494-444-4-4-441-200-12-1-2-11-22-12121-2-33003-3000000000000000000−i3i3i3−i30000i3−i3−i3i30000000000
χ504-444-4-4-441-200-12-1-2-11-22-12121-2-33003-3000000000000000000i3−i3−i3i30000−i3i3i3−i30000000000
χ514-444-4-4-444400-4-4-44-444-4-4-44-4440000000000000000000000000000000000000000000000
χ524-44-44-44-44400-4-44-4-444-444-44-4-40000000000000000000000000000000000000000000000
χ534-44-44-44-4-21002-1-2-12-21-1-21212-1003i−3i00−3i3i000000000000−i3i3i3−i300003−3−3300000000000000
χ544-44-44-44-4-21002-1-2-12-21-1-21212-1003i−3i00−3i3i000000000000i3−i3−i3i30000−333−300000000000000
χ554-44-44-44-4-21002-1-2-12-21-1-21212-100−3i3i003i−3i000000000000−i3i3i3−i30000−333−300000000000000
χ564-44-44-44-4-21002-1-2-12-21-1-21212-100−3i3i003i−3i000000000000i3−i3−i3i300003−3−3300000000000000
χ574-4-4444-4-41-24i−4i1-21-2-1-122-121-2-12ii−2i−2i−i−i2i2i0000002-2002i−2i0000-1-1110000−i−iii0000000000
χ584-4-4444-4-41-24i−4i1-21-2-1-122-121-2-12ii−2i−2i−i−i2i2i000000-2200−2i2i000011-1-10000ii−i−i0000000000
χ594-4-4444-4-41-2−4i4i1-21-2-1-122-121-2-12−i−i2i2iii−2i−2i0000002-200−2i2i0000-1-1110000ii−i−i0000000000
χ604-4-4444-4-41-2−4i4i1-21-2-1-122-121-2-12−i−i2i2iii−2i−2i000000-22002i−2i000011-1-10000−i−iii0000000000
χ614-4-4444-4-4-214i−4i-21-2122-1-12-1-212-1−2i−2iii2i2i−i−i00002-2002i−2i00-1-1110000−i−iii00000000000000
χ624-4-4444-4-4-214i−4i-21-2122-1-12-1-212-1−2i−2iii2i2i−i−i0000-2200−2i2i0011-1-10000ii−i−i00000000000000
χ634-4-4444-4-4-21−4i4i-21-2122-1-12-1-212-12i2i−i−i−2i−2iii00002-200−2i2i00-1-1110000ii−i−i00000000000000
χ644-4-4444-4-4-21−4i4i-21-2122-1-12-1-212-12i2i−i−i−2i−2iii0000-22002i−2i0011-1-10000−i−iii00000000000000
χ65888-8-88-8-82-4002-4-2422-4-4-24-24-240000000000000000000000000000000000000000000000
χ66888-8-88-8-8-4200-424-2-4-4224-24-24-20000000000000000000000000000000000000000000000
χ6788-88-8-88-8-42004-242-44-22-42-4-24-20000000000000000000000000000000000000000000000
χ6888-8-88-8-882-400-24242-24-4-24-2-42-40000000000000000000000000000000000000000000000
χ698-888-8-8-88-42004-2424-42-24-2-4-2-420000000000000000000000000000000000000000000000
χ708-88-88-88-82-400-2424-22-442-4-2-4-240000000000000000000000000000000000000000000000
χ718-8-8-8-88882-4002-4-24-2-2442-4-242-40000000000000000000000000000000000000000000000
χ728-8-8-8-8888-4200-424-244-2-2-424-2-420000000000000000000000000000000000000000000000

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