Finite Group Databasebeta

← Group #11791117

Character table — Group #11791117

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order1222222233446666666666666612121212121212124444222244446666666612121212121212124488888888
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
χ9111-1-1-11-111i−i111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-11-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−ii−i11-1-1ii−i−i
χ10111-1-1-11-111i−i111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-11-11-1-11i−i−ii11-1-1-1-111ii−i−i−i−iiii−i-1-111−i−iii
χ11111-1-1-11-111i−i111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-11-1-111-1−iii−i-1-11111-1-1−i−iiiii−i−ii−i-1-111−i−iii
χ12111-1-1-11-111i−i111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-11-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiii−i11-1-1ii−i−i
χ13111-1-1-11-111−ii111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-11-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−ii11-1-1−i−iii
χ14111-1-1-11-111−ii111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-11-11-1-11−iii−i11-1-1-1-111−i−iiiii−i−i−ii-1-111ii−i−i
χ15111-1-1-11-111−ii111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-11-1-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii−ii-1-111ii−i−i
χ16111-1-1-11-111−ii111111-1-1-1-1-1-1-1-1−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
χ19222-2-2-22-2222i−2i222222-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i-22-22000000000000000000000000−2i2i00000000
χ20222-2-2-22-222−2i2i222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i-22-220000000000000000000000002i−2i00000000
χ212-2-22-2-222220022-2-2-2-222-2-222-2-20000000022-2-20000000000000000000000000000002i−2i2i−2i
χ222-2-22-2-222220022-2-2-2-222-2-222-2-20000000022-2-2000000000000000000000000000000−2i2i−2i2i
χ232-2-22-2-222220022-2-2-2-222-2-222-2-200000000-2-222000000000000000000000000002-22-20000
χ242-2-22-2-222220022-2-2-2-222-2-222-2-200000000-2-22200000000000000000000000000-22-220000
χ252-2-2-2222-2220022-2-2-2-2-2-222-2-222000000002-2-220000000000000000000000000000002-2-22
χ262-2-2-2222-2220022-2-2-2-2-2-222-2-222000000002-2-22000000000000000000000000000000-222-2
χ272-2-2-2222-2220022-2-2-2-2-2-222-2-22200000000-222-2000000000000000000000000002-2-220000
χ282-2-2-2222-2220022-2-2-2-2-2-222-2-22200000000-222-200000000000000000000000000-222-20000
χ29444444441-2441-211-2-21-21-21-21-211-2-211-2-20000002200220000-1-1-1-10000-1-1-1-10000000000
χ30444444441-2441-211-2-21-21-21-21-211-2-211-2-2000000-2-200-2-200001111000011110000000000
χ31444444441-2-4-41-211-2-21-21-21-21-2-1-122-1-1220000002200-2-20000-1-1-1-1000011110000000000
χ32444444441-2-4-41-211-2-21-21-21-21-2-1-122-1-122000000-2-20022000011110000-1-1-1-10000000000
χ3344444444-2144-21-2-211-21-21-21-21-2-211-2-211000022002200-1-1-1-10000-1-1-1-100000000000000
χ3444444444-2144-21-2-211-21-21-21-21-2-211-2-2110000-2-200-2-20011110000111100000000000000
χ3544444444-21-4-4-21-2-211-21-21-21-2122-1-122-1-100002200-2-200-1-1-1-10000111100000000000000
χ3644444444-21-4-4-21-2-211-21-21-21-2122-1-122-1-10000-2-200220011110000-1-1-1-100000000000000
χ37444-4-4-44-41-24i−4i1-211-2-2-12-12-12-12ii−2i−2i−i−i2i2i0000002-2002i−2i0000-1-1110000−i−iii0000000000
χ38444-4-4-44-41-24i−4i1-211-2-2-12-12-12-12ii−2i−2i−i−i2i2i000000-2200−2i2i000011-1-10000ii−i−i0000000000
χ39444-4-4-44-41-2−4i4i1-211-2-2-12-12-12-12−i−i2i2iii−2i−2i0000002-200−2i2i0000-1-1110000ii−i−i0000000000
χ40444-4-4-44-41-2−4i4i1-211-2-2-12-12-12-12−i−i2i2iii−2i−2i000000-22002i−2i000011-1-10000−i−iii0000000000
χ41444-4-4-44-4-214i−4i-21-2-2112-12-12-12-1−2i−2iii2i2i−i−i00002-2002i−2i00-1-1110000−i−iii00000000000000
χ42444-4-4-44-4-214i−4i-21-2-2112-12-12-12-1−2i−2iii2i2i−i−i0000-2200−2i2i0011-1-10000ii−i−i00000000000000
χ43444-4-4-44-4-21−4i4i-21-2-2112-12-12-12-12i2i−i−i−2i−2iii00002-200−2i2i00-1-1110000ii−i−i00000000000000
χ44444-4-4-44-4-21−4i4i-21-2-2112-12-12-12-12i2i−i−i−2i−2iii0000-22002i−2i0011-1-10000−i−iii00000000000000
χ4544-444-4-4-41-200-121-12-2-12-1-21-2123-3003-3000000000000000000−i3i3−i3i30000−i3i3−i3i30000000000
χ4644-444-4-4-41-200-121-12-2-12-1-21-2123-3003-3000000000000000000i3−i3i3−i30000i3−i3i3−i30000000000
χ4744-444-4-4-41-200-121-12-2-12-1-21-212-3300-33000000000000000000−i3i3−i3i30000i3−i3i3−i30000000000
χ4844-444-4-4-41-200-121-12-2-12-1-21-212-3300-33000000000000000000i3−i3i3−i30000−i3i3−i3i30000000000
χ4944-444-4-4-44400-4-44-4-44-4-4-44444-40000000000000000000000000000000000000000000000
χ5044-4-4-44-441-200-121-12-21-212-12-1-23i−3i00−3i3i000000000000000000−i3i3i3−i300003−3−330000000000
χ5144-4-4-44-441-200-121-12-21-212-12-1-23i−3i00−3i3i000000000000000000i3−i3−i3i30000−333−30000000000
χ5244-4-4-44-441-200-121-12-21-212-12-1-2−3i3i003i−3i000000000000000000−i3i3i3−i30000−333−30000000000
χ5344-4-4-44-441-200-121-12-21-212-12-1-2−3i3i003i−3i000000000000000000i3−i3−i3i300003−3−330000000000
χ5444-4-4-44-444400-4-44-4-44444-4-4-4-440000000000000000000000000000000000000000000000
χ554-444-44-4-44400-4-4-444-4-4-44-444-440000000000000000000000000000000000000000000000
χ564-444-44-4-4-21002-12-21-12-1-2-1-2121003-3003-3000000000000−i3i3−i3i30000−i3i3−i3i300000000000000
χ574-444-44-4-4-21002-12-21-12-1-2-1-2121003-3003-3000000000000i3−i3i3−i30000i3−i3i3−i300000000000000
χ584-444-44-4-4-21002-12-21-12-1-2-1-212100-3300-33000000000000−i3i3−i3i30000i3−i3i3−i300000000000000
χ594-444-44-4-4-21002-12-21-12-1-2-1-212100-3300-33000000000000i3−i3i3−i30000−i3i3−i3i300000000000000
χ604-44-44-4-444400-4-4-444-444-44-4-44-40000000000000000000000000000000000000000000000
χ614-44-44-4-44-21002-12-21-1-21212-1-2-1003i−3i00−3i3i000000000000−i3i3i3−i300003−3−3300000000000000
χ624-44-44-4-44-21002-12-21-1-21212-1-2-1003i−3i00−3i3i000000000000i3−i3−i3i30000−333−300000000000000
χ634-44-44-4-44-21002-12-21-1-21212-1-2-100−3i3i003i−3i000000000000−i3i3i3−i30000−333−300000000000000
χ644-44-44-4-44-21002-12-21-1-21212-1-2-100−3i3i003i−3i000000000000i3−i3−i3i300003−3−3300000000000000
χ6588-888-8-8-8-42004-2-44-224-242-42-4-20000000000000000000000000000000000000000000000
χ6688-8-8-88-88-42004-2-44-22-42-4-24-2420000000000000000000000000000000000000000000000
χ678-888-88-8-82-400-24-22-44-24242-4-2-40000000000000000000000000000000000000000000000
χ688-88-88-8-882-400-24-22-442-4-2-4-24240000000000000000000000000000000000000000000000
χ698-8-88-8-8882-4002-4-2-2442-4-242-4-240000000000000000000000000000000000000000000000
χ708-8-88-8-888-4200-4244-2-2-424-2-424-20000000000000000000000000000000000000000000000
χ718-8-8-8888-82-4002-4-2-244-242-4-242-40000000000000000000000000000000000000000000000
χ728-8-8-8888-8-4200-4244-2-24-2-424-2-420000000000000000000000000000000000000000000000

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