Finite Group Databasebeta

← Group #11787088

Character table — Group #11787088

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
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ911-1-11-1111-111-1-111-1-1-1-111-1-11-1111-1-1-1i−ii−ii−ii−iii−i−i-1-111i−iii−i−iii−i−iii−i−iii−i−i1-11-11-1
χ1011-1-11-1111-111-1-111-1-1-1-111-1-11-1111-1-1-1i−ii−ii−ii−i−i−iii-1-111−iiii−i−iii−i−i−i−iii−i−iii1-1-11-11
χ1111-1-11-1111-111-1-111-1-1-1-111-1-11-1111-1-1-1−ii−ii−ii−iiii−i−i-1-111i−i−i−iii−i−iiiii−i−iii−i−i1-1-11-11
χ1211-1-11-1111-111-1-111-1-1-1-111-1-11-1111-1-1-1−ii−ii−ii−ii−i−iii-1-111−ii−i−iii−i−iii−i−iii−i−iii1-11-11-1
χ1311-1-11-111-1111-1-111-1-1-1-1-1-1111-1-1-1-1111i−i−iii−i−iiii−i−i-1-111−iiii−i−i−i−iiiii−i−i−i−iii-111-1-11
χ1411-1-11-111-1111-1-111-1-1-1-1-1-1111-1-1-1-1111i−i−iii−i−ii−i−iii-1-111i−iii−i−i−i−iii−i−iiiii−i−i-11-111-1
χ1511-1-11-111-1111-1-111-1-1-1-1-1-1111-1-1-1-1111−iii−i−iii−iii−i−i-1-111−ii−i−iiiii−i−iii−i−i−i−iii-11-111-1
χ1611-1-11-111-1111-1-111-1-1-1-1-1-1111-1-1-1-1111−iii−i−iii−i−i−iii-1-111i−i−i−iiiii−i−i−i−iiiii−i−i-111-1-11
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ1822222222-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-22200-2-22-222222-20000-2-2000000002200-2-200002-22-20000002-22-200000000000000
χ202222-2-22200-2-22-222222-20000-2-200000000-2-2002200002-22-2000000-22-2200000000000000
χ212222-2-22200-2-22-222222-20000-2-20000002200-2-2000000-22-22002-22-2000000000000000000
χ222222-2-22200-2-22-222222-20000-2-2000000-2-20022000000-22-2200-22-22000000000000000000
χ2322-2-22-2222-222-2-222-2-2-2-222-2-22-2222-2-2-200000000000022-2-2000000000000000000-220000
χ2422-2-22-222-2222-2-222-2-2-2-2-2-2222-2-2-2-222200000000000022-2-20000000000000000002-20000
χ2522-2-2-222200-2-2-2222-2-2-220000-22000000002i−2i00−2i2i0000-222-20000002i−2i−2i2i00000000000000
χ2622-2-2-222200-2-2-2222-2-2-220000-2200000000−2i2i002i−2i0000-222-2000000−2i2i2i−2i00000000000000
χ2722-2-2-222200-2-2-2222-2-2-220000-220000002i−2i00−2i2i0000002-2-22002i−2i−2i2i000000000000000000
χ2822-2-2-222200-2-2-2222-2-2-220000-22000000−2i2i002i−2i0000002-2-2200−2i2i2i−2i000000000000000000
χ294444441-24411111-21-2-21-2-2-2-2-2-211-211-200000000222200002200000000-1-1-1-1-1-1-1-1000000
χ304444441-24411111-21-2-21-2-2-2-2-2-211-211-200000000-2-2-2-20000-2-20000000011111111000000
χ314444441-2-4-411111-21-2-212222-2-2-1-12-1-120000000022220000-2-200000000-1-1-1-11111000000
χ324444441-2-4-411111-21-2-212222-2-2-1-12-1-1200000000-2-2-2-2000022000000001111-1-1-1-1000000
χ33444444-2144-2-2-2-2-21-211-2111111-2-21-2-21222222220000000000-1-1-1-1-1-1-1-100000000000000
χ34444444-2144-2-2-2-2-21-211-2111111-2-21-2-21-2-2-2-2-2-2-2-200000000001111111100000000000000
χ35444444-21-4-4-2-2-2-2-21-211-2-1-1-1-11122-122-122-2-222-2-20000000000-1-1-1-1111100000000000000
χ36444444-21-4-4-2-2-2-2-21-211-2-1-1-1-11122-122-1-2-222-2-22200000000001111-1-1-1-100000000000000
χ374444-4-4-210022-22-21-21123333-1-100-300-32222-2-2-2-20000000000-11-11-11-1100000000000000
χ384444-4-4-210022-22-21-21123333-1-100-300-3-2-2-2-2222200000000001-11-11-11-100000000000000
χ394444-4-4-210022-22-21-2112-3-3-3-3-1-100300322-2-2-2-2220000000000-11-111-11-100000000000000
χ404444-4-4-210022-22-21-2112-3-3-3-3-1-1003003-2-22222-2-200000000001-11-1-11-1100000000000000
χ4144-4-44-41-24-411-1-11-2-122-1-2-222-2211-2-1-12000000002i2i−2i−2i00002i−2i00000000−i−iii−i−iii000000
χ4244-4-44-41-24-411-1-11-2-122-1-2-222-2211-2-1-1200000000−2i−2i2i2i0000−2i2i00000000ii−i−iii−i−i000000
χ4344-4-44-41-2-4411-1-11-2-122-122-2-2-22-1-1211-2000000002i2i−2i−2i0000−2i2i00000000−i−iiiii−i−i000000
χ4444-4-44-41-2-4411-1-11-2-122-122-2-2-22-1-1211-200000000−2i−2i2i2i00002i−2i00000000ii−i−i−i−iii000000
χ4544-4-44-4-214-4-2-222-212-1-1211-1-11-1-2-2122-12i−2i2i−2i2i−2i2i−2i0000000000−i−iii−i−iii00000000000000
χ4644-4-44-4-214-4-2-222-212-1-1211-1-11-1-2-2122-1−2i2i−2i2i−2i2i−2i2i0000000000ii−i−iii−i−i00000000000000
χ4744-4-44-4-21-44-2-222-212-1-12-1-1111-122-1-2-212i−2i−2i2i2i−2i−2i2i0000000000−i−iiiii−i−i00000000000000
χ4844-4-44-4-21-44-2-222-212-1-12-1-1111-122-1-2-21−2i2i2i−2i−2i2i2i−2i0000000000ii−i−i−i−iii00000000000000
χ4944-4-4-44-2100222-2-212-1-1-233-3-3-1100-30032i−2i2i−2i−2i2i−2i2i0000000000−iii−i−iii−i00000000000000
χ5044-4-4-44-2100222-2-212-1-1-233-3-3-1100-3003−2i2i−2i2i2i−2i2i−2i0000000000i−i−iii−i−ii00000000000000
χ5144-4-4-44-2100222-2-212-1-1-2-3-333-1100300-32i−2i−2i2i−2i2i2i−2i0000000000−iii−ii−i−ii00000000000000
χ5244-4-4-44-2100222-2-212-1-1-2-3-333-1100300-3−2i2i2i−2i2i−2i−2i2i0000000000i−i−ii−iii−i00000000000000
χ534-44-4001-2003-313-12-12-2-323−2323−23003−303−30000000002i−2i2i−2i00000000000000i−ii−i−i3i3−i3i3000000
χ544-44-4001-2003-313-12-12-2-323−2323−23003−303−3000000000−2i2i−2i2i00000000000000−ii−iii3−i3i3−i3000000
χ554-44-4001-2003-313-12-12-2-3−2323−232300−330−330000000002i−2i2i−2i00000000000000i−ii−ii3−i3i3−i3000000
χ564-44-4001-2003-313-12-12-2-3−2323−232300−330−33000000000−2i2i−2i2i00000000000000−ii−ii−i3i3−i3i3000000
χ574-44-40044000040-4-4-4-440000000000000000000002i−2i2i−2i00000000000000−2i2i−2i2i0000000000
χ584-44-40044000040-4-4-4-44000000000000000000000−2i2i−2i2i000000000000002i−2i2i−2i0000000000
χ594-4-44001-2003-3-1-3-121-22323−23−2323003−30−330000000002-2-22000000000000001-1-11−333−3000000
χ604-4-44001-2003-3-1-3-121-22323−23−2323003−30−33000000000-222-200000000000000-111-13−3−33000000
χ614-4-44001-2003-3-1-3-121-223−232323−2300−3303−30000000002-2-22000000000000001-1-113−3−33000000
χ624-4-44001-2003-3-1-3-121-223−232323−2300−3303−3000000000-222-200000000000000-111-1−333−3000000
χ634-4-4400440000-40-4-444-40000000000000000000002-2-2200000000000000-222-20000000000
χ644-4-4400440000-40-4-444-4000000000000000000000-222-2000000000000002-2-220000000000
χ658888-8-82-400-2-22-22-42-4-4-20000440000000000000000000000000000000000000000000000
χ6688-8-8-882-400-2-2-222-4-244200004-40000000000000000000000000000000000000000000000
χ678-88-8002-400-662-6-24-24-460000000000000000000000000000000000000000000000000000
χ688-88-800-420000-404-24-22023−2323−2300−23230−232300000000000000000000000000000000000000000
χ698-88-800-420000-404-24-220−2323−23230023−23023−2300000000000000000000000000000000000000000
χ708-8-88002-400-66-26-242-44-60000000000000000000000000000000000000000000000000000
χ718-8-8800-420000404-2-42-2023−23−232300−2323023−2300000000000000000000000000000000000000000
χ728-8-8800-420000404-2-42-20−232323−230023−230−232300000000000000000000000000000000000000000

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