Finite Group Databasebeta

← Group #11791084

Character table — Group #11791084

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
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
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ9111-1-1-1-1111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i1-11-1i−ii−i1-11-1ii−i−i11-1-1ii−i−i11-1-1i−i11-1-1ii−i−i
χ10111-1-1-1-1111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i1-11-1i−i−ii1-1-11ii−i−i11-1-1−i−iii-1-111i−i-1-111−i−iii
χ11111-1-1-1-1111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i1-11-1−iii−i-111-1−i−iii-1-111ii−i−i11-1-1i−i-1-111−i−iii
χ12111-1-1-1-1111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i1-11-1−ii−ii-11-11−i−iii-1-111−i−iii-1-111i−i11-1-1ii−i−i
χ13111-1-1-1-1111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii1-11-1i−ii−i-11-11ii−i−i-1-111ii−i−i-1-111−ii11-1-1−i−iii
χ14111-1-1-1-1111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii1-11-1i−i−ii-111-1ii−i−i-1-111−i−iii11-1-1−ii-1-111ii−i−i
χ15111-1-1-1-1111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii1-11-1−iii−i1-1-11−i−iii11-1-1ii−i−i-1-111−ii-1-111ii−i−i
χ16111-1-1-1-1111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii1-11-1−ii−ii1-11-1−i−iii11-1-1−i−iii11-1-1−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
χ19222-2-2-2-22222i−2i2222-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i-22-22000000000000000000000000−2i2i00000000
χ20222-2-2-2-2222−2i2i2222-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i-22-220000000000000000000000002i−2i00000000
χ212-2-22-2-2222200-2-2-2-222-2-22222-2-20000000022-2-20000000000000000000000000000002i−2i2i−2i
χ222-2-22-2-2222200-2-2-2-222-2-22222-2-20000000022-2-2000000000000000000000000000000−2i2i−2i2i
χ232-2-22-2-2222200-2-2-2-222-2-22222-2-200000000-2-222000000000000000000000000002-22-20000
χ242-2-22-2-2222200-2-2-2-222-2-22222-2-200000000-2-22200000000000000000000000000-22-220000
χ252-2-2-222-222200-2-2-2-2-2-222-2-22222000000002-2-220000000000000000000000000000002-2-22
χ262-2-2-222-222200-2-2-2-2-2-222-2-22222000000002-2-22000000000000000000000000000000-222-2
χ272-2-2-222-222200-2-2-2-2-2-222-2-2222200000000-222-2000000000000000000000000002-2-220000
χ282-2-2-222-222200-2-2-2-2-2-222-2-2222200000000-222-200000000000000000000000000-222-20000
χ29444444441-24411-2-21-21-21-21-21-211-2-211-2-200000022002200000000-1-1-1-1-1-1-1-10000000000
χ30444444441-24411-2-21-21-21-21-21-211-2-211-2-2000000-2-200-2-200000000111111110000000000
χ31444444441-2-4-411-2-21-21-21-21-21-2-1-122-1-1220000002200-2-200000000-1-1-1-111110000000000
χ32444444441-2-4-411-2-21-21-21-21-21-2-1-122-1-122000000-2-20022000000001111-1-1-1-10000000000
χ3344444444-2144-2-211-21-21-21-21-21-2-211-2-211000022002200-1-1-1-1-1-1-1-1000000000000000000
χ3444444444-2144-2-211-21-21-21-21-21-2-211-2-2110000-2-200-2-20011111111000000000000000000
χ3544444444-21-4-4-2-211-21-21-21-21-2122-1-122-1-100002200-2-200-1-1-1-11111000000000000000000
χ3644444444-21-4-4-2-211-21-21-21-21-2122-1-122-1-10000-2-20022001111-1-1-1-1000000000000000000
χ37444-4-4-4-441-24i−4i11-2-2-12-12-121-2-12ii−2i−2i−i−i2i2i0000002i−2i002-200000000−i−iii-1-1110000000000
χ38444-4-4-4-441-24i−4i11-2-2-12-12-121-2-12ii−2i−2i−i−i2i2i000000−2i2i00-2200000000ii−i−i11-1-10000000000
χ39444-4-4-4-441-2−4i4i11-2-2-12-12-121-2-12−i−i2i2iii−2i−2i0000002i−2i00-2200000000−i−iii11-1-10000000000
χ40444-4-4-4-441-2−4i4i11-2-2-12-12-121-2-12−i−i2i2iii−2i−2i000000−2i2i002-200000000ii−i−i-1-1110000000000
χ41444-4-4-4-44-214i−4i-2-2112-12-12-1-212-1−2i−2iii2i2i−i−i00002i−2i002-200−i−iii-1-111000000000000000000
χ42444-4-4-4-44-214i−4i-2-2112-12-12-1-212-1−2i−2iii2i2i−i−i0000−2i2i00-2200ii−i−i11-1-1000000000000000000
χ43444-4-4-4-44-21−4i4i-2-2112-12-12-1-212-12i2i−i−i−2i−2iii00002i−2i00-2200−i−iii11-1-1000000000000000000
χ44444-4-4-4-44-21−4i4i-2-2112-12-12-1-212-12i2i−i−i−2i−2iii0000−2i2i002-200ii−i−i-1-111000000000000000000
χ4544-444-4-4-41-2001-12-2-12121-2-12-1-23-3003-300000000000000000000003−33−33−33−30000000000
χ4644-444-4-4-41-2001-12-2-12121-2-12-1-23-3003-30000000000000000000000−33−33−33−330000000000
χ4744-444-4-4-41-2001-12-2-12121-2-12-1-2-3300-3300000000000000000000003−33−3−33−330000000000
χ4844-444-4-4-41-2001-12-2-12121-2-12-1-2-3300-330000000000000000000000−33−333−33−30000000000
χ4944-444-4-4-444004-4-44-4-44-444-4-4-440000000000000000000000000000000000000000000000
χ5044-4-4-444-41-2001-12-21-2-1-2-12-12123i−3i00−3i3i0000000000000000000000−i3i3i3−i3−333−30000000000
χ5144-4-4-444-41-2001-12-21-2-1-2-12-12123i−3i00−3i3i0000000000000000000000i3−i3−i3i33−3−330000000000
χ5244-4-4-444-41-2001-12-21-2-1-2-12-1212−3i3i003i−3i0000000000000000000000−i3i3i3−i33−3−330000000000
χ5344-4-4-444-41-2001-12-21-2-1-2-12-1212−3i3i003i−3i0000000000000000000000i3−i3−i3i3−333−30000000000
χ5444-4-4-444-444004-4-4444-44-4-4-4-44-40000000000000000000000000000000000000000000000
χ554-444-44-4-44400-444-4-4-4-4444-4-44-40000000000000000000000000000000000000000000000
χ564-444-44-4-4-21002-21-12-121-212-1-2-1003-3003-30000000000003−33−33−33−3000000000000000000
χ574-444-44-4-4-21002-21-12-121-212-1-2-1003-3003-3000000000000−33−33−33−33000000000000000000
χ584-444-44-4-4-21002-21-12-121-212-1-2-100-3300-330000000000003−33−3−33−33000000000000000000
χ594-444-44-4-4-21002-21-12-121-212-1-2-100-3300-33000000000000−33−333−33−3000000000000000000
χ604-44-44-44-44400-444-4444-4-4-4-4-4-440000000000000000000000000000000000000000000000
χ614-44-44-44-4-21002-21-1-21-2-12-12-121003i−3i00−3i3i000000000000−i3i3i3−i3−333−3000000000000000000
χ624-44-44-44-4-21002-21-1-21-2-12-12-121003i−3i00−3i3i000000000000i3−i3−i3i33−3−33000000000000000000
χ634-44-44-44-4-21002-21-1-21-2-12-12-12100−3i3i003i−3i000000000000−i3i3i3−i33−3−33000000000000000000
χ644-44-44-44-4-21002-21-1-21-2-12-12-12100−3i3i003i−3i000000000000i3−i3−i3i3−333−3000000000000000000
χ6588-888-8-8-8-4200-44-224-2-4-2-424-2420000000000000000000000000000000000000000000000
χ6688-8-8-888-8-4200-44-22-42424-24-2-4-20000000000000000000000000000000000000000000000
χ678-888-88-8-82-400-22-44-24-2-42-4-24240000000000000000000000000000000000000000000000
χ688-88-88-88-82-400-22-442-424-24-24-2-40000000000000000000000000000000000000000000000
χ698-8-88-8-8882-400-2-2442-4-242-42-4-240000000000000000000000000000000000000000000000
χ708-8-88-8-888-420044-2-2-424-2-42-424-20000000000000000000000000000000000000000000000
χ718-8-8-888-882-400-2-244-242-4-242-42-40000000000000000000000000000000000000000000000
χ728-8-8-888-88-420044-2-24-2-424-2-42-420000000000000000000000000000000000000000000000

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