Finite Group Databasebeta

← Group #11787950

Character table — Group #11787950

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order1222223344666666666612121212661212121212122222444444442222446666121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
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
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ911-1-1-11111-11-1-1-1-111-1-1111-1-11-1111-1-1-111-1-1ii−i−iii−i−i11-1-11-111-1-111-1-1ii−i−iii−i−i1-1i−ii−i
χ1011-1-1-11111-11-1-1-1-111-1-1111-1-11-1111-1-1-111-1-1−i−iii−i−iii11-1-11-111-1-111-1-1−i−iii−i−iii1-1−ii−ii
χ1111-1-1-11111-11-1-1-1-111-1-1111-1-11-1111-1-1-1-1-111ii−i−iii−i−i11-1-1-11-1-111-1-111ii−i−iii−i−i1-1−ii−ii
χ1211-1-1-11111-11-1-1-1-111-1-1111-1-11-1111-1-1-1-1-111−i−iii−i−iii11-1-1-11-1-111-1-111−i−iii−i−iii1-1i−ii−i
χ1311-1-1-1111-111-1-1-1-111-1-11-1-1111-1-1-1-111111-1-1ii−i−i−i−iii11-1-1-1111-1-1-1-111ii−i−i−i−iii-11i−i−ii
χ1411-1-1-1111-111-1-1-1-111-1-11-1-1111-1-1-1-111111-1-1−i−iiiii−i−i11-1-1-1111-1-1-1-111−i−iiiii−i−i-11−iii−i
χ1511-1-1-1111-111-1-1-1-111-1-11-1-1111-1-1-1-1111-1-111ii−i−i−i−iii11-1-11-1-1-11111-1-1ii−i−i−i−iii-11−iii−i
χ1611-1-1-1111-111-1-1-1-111-1-11-1-1111-1-1-1-1111-1-111−i−iiiii−i−i11-1-11-1-1-11111-1-1−i−iiiii−i−i-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
χ192222-2-22200-222-2-22222-20000-2-2000000000000002-22-22-22-2000000000000002-22-2000000
χ202222-2-22200-222-2-22222-20000-2-200000000000000-22-222-22-200000000000000-22-22000000
χ212222-2-22200-222-2-22222-20000-2-200000000002-22-20000-22-2200000000002-22-20000000000
χ222222-2-22200-222-2-22222-20000-2-20000000000-22-220000-22-220000000000-22-220000000000
χ2322-2-22-22200-2-2-22222-2-2-20000-22000000000000002i−2i−2i2i2-2-22000000000000002i−2i−2i2i000000
χ2422-2-22-22200-2-2-22222-2-2-20000-2200000000000000−2i2i2i−2i2-2-2200000000000000−2i2i2i−2i000000
χ2522-2-22-22200-2-2-22222-2-2-20000-2200000000002i−2i−2i2i0000-222-200000000002i−2i−2i2i0000000000
χ2622-2-22-22200-2-2-22222-2-2-20000-220000000000−2i2i2i−2i0000-222-20000000000−2i2i2i−2i0000000000
χ2722-2-2-22222-22-2-2-2-222-2-2222-2-22-2222-2-2-2000000000000-2-222000000000000000000-220000
χ2822-2-2-2222-222-2-2-2-222-2-22-2-2222-2-2-2-2222000000000000-2-2220000000000000000002-20000
χ294444441-244-2-2-2-2-21-211-21111111-2-21-2-200002222222200000000000000-1-1-1-1-1-1-1-1000000
χ304444441-244-2-2-2-2-21-211-21111111-2-21-2-20000-2-2-2-2-2-2-2-20000000000000011111111000000
χ314444441-2-4-4-2-2-2-2-21-211-2-1-1-1-111-122-12200002222-2-2-2-200000000000000-1-1-1-11111000000
χ324444441-2-4-4-2-2-2-2-21-211-2-1-1-1-111-122-1220000-2-2-2-22222000000000000001111-1-1-1-1000000
χ33444444-214411111-21-2-21-2-2-2-2-2-2-211-211222200000000000022-1-1-1-1-1-1-1-100000000000000
χ34444444-214411111-21-2-21-2-2-2-2-2-2-211-211-2-2-2-2000000000000-2-21111111100000000000000
χ35444444-21-4-411111-21-2-212222-2-22-1-12-1-12222000000000000-2-2-1-1-1-1111100000000000000
χ36444444-21-4-411111-21-2-212222-2-22-1-12-1-1-2-2-2-2000000000000221111-1-1-1-100000000000000
χ374444-4-41-2002-2-2221-21123333-1-1-300-30000002-22-22-22-200000000000000-11-11-11-11000000
χ384444-4-41-2002-2-2221-21123333-1-1-300-3000000-22-22-22-22000000000000001-11-11-11-1000000
χ394444-4-41-2002-2-2221-2112-3-3-3-3-1-130030000002-22-2-22-2200000000000000-11-111-11-1000000
χ404444-4-41-2002-2-2221-2112-3-3-3-3-1-13003000000-22-222-22-2000000000000001-11-1-11-11000000
χ4144-4-44-41-200222-2-21-2-1-1233-3-3-11-30030000002i−2i−2i2i2i−2i−2i2i00000000000000−iii−i−iii−i000000
χ4244-4-44-41-200222-2-21-2-1-1233-3-3-11-3003000000−2i2i2i−2i−2i2i2i−2i00000000000000i−i−iii−i−ii000000
χ4344-4-44-41-200222-2-21-2-1-12-3-333-11300-30000002i−2i−2i2i−2i2i2i−2i00000000000000−iii−ii−i−ii000000
χ4444-4-44-41-200222-2-21-2-1-12-3-333-11300-3000000−2i2i2i−2i2i−2i−2i2i00000000000000i−i−ii−iii−i000000
χ4544-4-4-441-24-4-222221-2-1-1-211-1-11-11-2-2-12200002i2i−2i−2i2i2i−2i−2i00000000000000−i−iii−i−iii000000
χ4644-4-4-441-24-4-222221-2-1-1-211-1-11-11-2-2-1220000−2i−2i2i2i−2i−2i2i2i00000000000000ii−i−iii−i−i000000
χ4744-4-4-441-2-44-222221-2-1-1-2-1-1111-1-1221-2-200002i2i−2i−2i−2i−2i2i2i00000000000000−i−iiiii−i−i000000
χ4844-4-4-441-2-44-222221-2-1-1-2-1-1111-1-1221-2-20000−2i−2i2i2i2i2i−2i−2i00000000000000ii−i−i−i−iii000000
χ4944-4-4-44-214-41-1-1-1-1-21221-2-222-22-2112-1-122-2-20000000000002-2-1-111-1-11100000000000000
χ5044-4-4-44-214-41-1-1-1-1-21221-2-222-22-2112-1-1-2-222000000000000-2211-1-111-1-100000000000000
χ5144-4-4-44-21-441-1-1-1-1-2122122-2-2-222-1-1-21122-2-2000000000000-22-1-11111-1-100000000000000
χ5244-4-4-44-21-441-1-1-1-1-2122122-2-2-222-1-1-211-2-2220000000000002-211-1-1-1-11100000000000000
χ534-44-400440004-400-4-44-400000000000002-22-2000000000000002-22-2000000000000000000
χ544-44-400440004-400-4-44-40000000000000-22-2200000000000000-22-22000000000000000000
χ554-44-400-2100-31-13-32-1-22323−2323−230003−303−32-22-200000000000000-11-113−33−300000000000000
χ564-44-400-2100-31-13-32-1-22323−2323−230003−303−3-22-22000000000000001-11-1−33−3300000000000000
χ574-44-400-2100-31-13-32-1-223−2323−2323000−330−332-22-200000000000000-11-11−33−3300000000000000
χ584-44-400-2100-31-13-32-1-223−2323−2323000−330−33-22-22000000000000001-11-13−33−300000000000000
χ594-4-440044000-4400-4-4-4400000000000002-2-22000000000000002-2-22000000000000000000
χ604-4-440044000-4400-4-4-440000000000000-222-200000000000000-222-2000000000000000000
χ614-4-4400-2100-3-11-332-12-2323−23−23230003−30−332-2-2200000000000000-111-13−3−3300000000000000
χ624-4-4400-2100-3-11-332-12-2323−23−23230003−30−33-222-2000000000000001-1-11−333−300000000000000
χ634-4-4400-2100-3-11-332-12-23−232323−23000−3303−32-2-2200000000000000-111-1−333−300000000000000
χ644-4-4400-2100-3-11-332-12-23−232323−23000−3303−3-222-2000000000000001-1-113−3−3300000000000000
χ658888-8-8-4200-222-2-2-42-4-4-20000440000000000000000000000000000000000000000000000
χ6688-8-88-8-4200-2-2-222-4244-200004-40000000000000000000000000000000000000000000000
χ678-88-8002-4000-4400-242-2023−2323−23000−23230−23230000000000000000000000000000000000000000
χ688-88-8002-4000-4400-242-20−2323−232300023−23023−230000000000000000000000000000000000000000
χ698-88-800-420062-2-664-2-44-60000000000000000000000000000000000000000000000000000
χ708-8-88002-40004-400-24-22023−23−2323000−2323023−230000000000000000000000000000000000000000
χ718-8-88002-40004-400-24-220−232323−2300023−230−23230000000000000000000000000000000000000000
χ728-8-8800-42006-226-64-24-4-60000000000000000000000000000000000000000000000000000

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