Finite Group Databasebeta

← Group #11787983

Character table — Group #11787983

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order12222233446666666666121212126612121212121244444444444422224412121212121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ91-1-11-11111-11-1-1-1-111-1-1111-1-11-11-111-1-1ii−i−iii−i−i11-1-111-1-11-1ii−i−iii−i−i11-1-111-1-11-1i−ii−i
χ101-1-11-11111-11-1-1-1-111-1-1111-1-11-11-111-1-1ii−i−iii−i−i-1-11111-1-1-11ii−i−iii−i−i-1-111-1-1111-1−ii−ii
χ111-1-11-11111-11-1-1-1-111-1-1111-1-11-11-111-1-1−i−iii−i−iii11-1-111-1-11-1−i−iii−i−iii11-1-111-1-11-1−ii−ii
χ121-1-11-11111-11-1-1-1-111-1-1111-1-11-11-111-1-1−i−iii−i−iii-1-11111-1-1-11−i−iii−i−iii-1-111-1-1111-1i−ii−i
χ131-1-11-1111-111-1-1-1-111-1-11-1-1111-1-11-1-111ii−i−i−i−iii11-1-111-1-1-11ii−i−i−i−iii-1-11111-1-1-11i−i−ii
χ141-1-11-1111-111-1-1-1-111-1-11-1-1111-1-11-1-111ii−i−i−i−iii-1-11111-1-11-1ii−i−i−i−iii11-1-1-1-111-11−iii−i
χ151-1-11-1111-111-1-1-1-111-1-11-1-1111-1-11-1-111−i−iiiii−i−i11-1-111-1-1-11−i−iiiii−i−i-1-11111-1-1-11−iii−i
χ161-1-11-1111-111-1-1-1-111-1-11-1-1111-1-11-1-111−i−iiiii−i−i-1-11111-1-11-1−i−iiiii−i−i11-1-1-1-111-11i−i−ii
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ1822222222-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-22200-222-2-22-22220000-2-200000000002-22-200002-22-20000002-22-200000000000000
χ202222-2-22200-222-2-22-22220000-2-20000000000-22-2200002-22-2000000-22-2200000000000000
χ212222-2-22200-222-2-22-22220000-2-20000002-22-200000000-22-22002-22-2000000000000000000
χ222222-2-22200-222-2-22-22220000-2-2000000-22-2200000000-22-2200-22-22000000000000000000
χ232-2-222-22200-2-2-2222-2-2-220000-2200000000002i−2i−2i2i00002-2-220000002i−2i−2i2i00000000000000
χ242-2-222-22200-2-2-2222-2-2-220000-220000000000−2i2i2i−2i00002-2-22000000−2i2i2i−2i00000000000000
χ252-2-222-22200-2-2-2222-2-2-220000-220000002i−2i−2i2i00000000-222-2002i−2i−2i2i000000000000000000
χ262-2-222-22200-2-2-2222-2-2-220000-22000000−2i2i2i−2i00000000-222-200−2i2i2i−2i000000000000000000
χ272-2-22-22222-22-2-2-2-222-2-2222-2-22-22-222-2-2000000000000-2-222000000000000000000-220000
χ282-2-22-2222-222-2-2-2-222-2-22-2-2222-2-22-2-222000000000000-2-2220000000000000000002-20000
χ294444441-24411111-21-2-21-2-2-2-2-2-2-2-2111100000000222200002200000000-1-1-1-1-1-1-1-1000000
χ304444441-24411111-21-2-21-2-2-2-2-2-2-2-2111100000000-2-2-2-20000-2-20000000011111111000000
χ314444441-2-4-411111-21-2-212222-2-222-1-1-1-10000000022220000-2-2000000001111-1-1-1-1000000
χ324444441-2-4-411111-21-2-212222-2-222-1-1-1-100000000-2-2-2-200002200000000-1-1-1-11111000000
χ33444444-2144-2-2-2-2-21-211-211111111-2-2-2-2222222220000000000-1-1-1-1-1-1-1-100000000000000
χ34444444-2144-2-2-2-2-21-211-211111111-2-2-2-2-2-2-2-2-2-2-2-200000000001111111100000000000000
χ35444444-21-4-4-2-2-2-2-21-211-2-1-1-1-111-1-122222222-2-2-2-20000000000-1-1-1-1111100000000000000
χ36444444-21-4-4-2-2-2-2-21-211-2-1-1-1-111-1-12222-2-2-2-2222200000000001111-1-1-1-100000000000000
χ374444-4-4-21002-2-2221211-23333-1-1-3-300002-22-22-22-20000000000-11-11-11-1100000000000000
χ384444-4-4-21002-2-2221211-23333-1-1-3-30000-22-22-22-2200000000001-11-11-11-100000000000000
χ394444-4-4-21002-2-2221211-2-3-3-3-3-1-13300002-22-2-22-220000000000-11-111-11-100000000000000
χ404444-4-4-21002-2-2221211-2-3-3-3-3-1-1330000-22-222-22-200000000001-11-1-11-1100000000000000
χ4144-4-4001-20031-13-32-32-2-123−2323−2300003−33−3000000002i−2i2i−2i00000000000000−i3i3−i3i3i−ii−i000000
χ4244-4-4001-20031-13-32-32-2-123−2323−2300003−33−300000000−2i2i−2i2i00000000000000i3−i3i3−i3−ii−ii000000
χ4344-4-4001-20031-13-32-32-2-1−2323−23230000−33−33000000002i−2i2i−2i00000000000000i3−i3i3−i3i−ii−i000000
χ4444-4-4001-20031-13-32-32-2-1−2323−23230000−33−3300000000−2i2i−2i2i00000000000000−i3i3−i3i3−ii−ii000000
χ4544-4-400440004-400-40-44-4000000000000000000002i−2i2i−2i000000000000000000−2i2i−2i2i000000
χ4644-4-400440004-400-40-44-400000000000000000000−2i2i−2i2i0000000000000000002i−2i2i−2i000000
χ474-44-4001-2003-11-332-3-22-123−23−232300003−3−33000000002i−2i−2i2i00000000000000−i3i3i3−i3i−i−ii000000
χ484-44-4001-2003-11-332-3-22-123−23−232300003−3−3300000000−2i2i2i−2i00000000000000i3−i3−i3i3−iii−i000000
χ494-44-4001-2003-11-332-3-22-1−232323−230000−333−3000000002i−2i−2i2i00000000000000i3−i3−i3i3i−i−ii000000
χ504-44-4001-2003-11-332-3-22-1−232323−230000−333−300000000−2i2i2i−2i00000000000000−i3i3i3−i3−iii−i000000
χ514-44-40044000-4400-404-4-4000000000000000000002i−2i−2i2i000000000000000000−2i2i2i−2i000000
χ524-44-40044000-4400-404-4-400000000000000000000−2i2i2i−2i0000000000000000002i−2i−2i2i000000
χ534-4-444-4-2100222-2-212-1-1-233-3-3-11-3300002i−2i−2i2i2i−2i−2i2i0000000000−iii−i−iii−i00000000000000
χ544-4-444-4-2100222-2-212-1-1-233-3-3-11-330000−2i2i2i−2i−2i2i2i−2i0000000000i−i−iii−i−ii00000000000000
χ554-4-444-4-2100222-2-212-1-1-2-3-333-113-300002i−2i−2i2i−2i2i2i−2i0000000000−iii−ii−i−ii00000000000000
χ564-4-444-4-2100222-2-212-1-1-2-3-333-113-30000−2i2i2i−2i2i−2i−2i2i0000000000i−i−ii−iii−i00000000000000
χ574-4-44-441-24-41-1-1-1-1-21221-2-222-22-2211-1-10000000022-2-200002-200000000-1-111-1-111000000
χ584-4-44-441-24-41-1-1-1-1-21221-2-222-22-2211-1-100000000-2-2220000-220000000011-1-111-1-1000000
χ594-4-44-441-2-441-1-1-1-1-2122122-2-2-222-2-1-1110000000022-2-20000-220000000011-1-1-1-111000000
χ604-4-44-441-2-441-1-1-1-1-2122122-2-2-222-2-1-11100000000-2-22200002-200000000-1-11111-1-1000000
χ614-4-44-44-214-4-222221-2-1-1-211-1-11-11-1-2-2222i2i−2i−2i2i2i−2i−2i0000000000−i−iii−i−iii00000000000000
χ624-4-44-44-214-4-222221-2-1-1-211-1-11-11-1-2-222−2i−2i2i2i−2i−2i2i2i0000000000ii−i−iii−i−i00000000000000
χ634-4-44-44-21-44-222221-2-1-1-2-1-1111-1-1122-2-22i2i−2i−2i−2i−2i2i2i0000000000−i−iiiii−i−i00000000000000
χ644-4-44-44-21-44-222221-2-1-1-2-1-1111-1-1122-2-2−2i−2i2i2i2i2i−2i−2i0000000000ii−i−i−i−iii00000000000000
χ658888-8-82-400-222-2-2-4-2-4-420000440000000000000000000000000000000000000000000000
χ6688-8-8002-400-62-2-66464-4-20000000000000000000000000000000000000000000000000000
χ6788-8-800-42000-4400-20-22423−2323−230000−2323−23230000000000000000000000000000000000000000
χ6888-8-800-42000-4400-20-224−2323−2323000023−2323−230000000000000000000000000000000000000000
χ698-88-8002-400-6-226-646-44-20000000000000000000000000000000000000000000000000000
χ708-88-800-420004-400-202-2423−23−23230000−232323−230000000000000000000000000000000000000000
χ718-88-800-420004-400-202-24−232323−23000023−23−23230000000000000000000000000000000000000000
χ728-8-888-82-400-2-2-222-4-244200004-40000000000000000000000000000000000000000000000

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