Finite Group Databasebeta

← Group #11788914

Character table — Group #11788914

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1122244444444448888888888888816161616161616161818181836363636363636363636727272727272
order12222233466666644666612121212121212126612121212121244442488888888448888
χ1111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ5111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1
χ6111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ911111-111-11111111-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-11-11-1
χ1011111-111-11111111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-11-11
χ1111111-111-11111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11i−i−ii
χ1211111-111-11111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11−iii−i
χ1311111-111-1111111-111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-11-11-11
χ1411111-111-1111111-111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-111-11-1
χ1511111-111-1111111-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii1-1−iii−i
χ1611111-111-1111111-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i1-1i−i−ii
χ17222-2-20220-2-2-2-2220022-2-2000000000000000022-2-200002i−2i002i−2i000000
χ18222-2-20220-2-2-2-2220022-2-2000000000000000022-2-20000−2i2i00−2i2i000000
χ19222-2-20220-2-2-2-2220022-2-20000000000000000-2-22200002-200-22000000
χ20222-2-20220-2-2-2-2220022-2-20000000000000000-2-2220000-22002-2000000
χ2122-22-20220-2-2-2-22200-2-22200000000000000002-22-2002i−2i002i−2i00000000
χ2222-22-20220-2-2-2-22200-2-22200000000000000002-22-200−2i2i00−2i2i00000000
χ2322-22-20220-2-2-2-22200-2-2220000000000000000-22-22002-200-2200000000
χ2422-22-20220-2-2-2-22200-2-2220000000000000000-22-2200-22002-200000000
χ2522-2-22222-222222200-2-2-2-200000000220000-2-22-2-22-2200000000000000
χ2622-2-22222-222222200-2-2-2-200000000220000-2-2-222-22-200000000000000
χ2722-2-22-222222222200-2-2-2-200000000-2-20000222-2-222-200000000000000
χ2822-2-22-222222222200-2-2-2-200000000-2-2000022-222-2-2200000000000000
χ294444441-2411-2-21-2441-21-21111-2-2-2-21-211-2-21-200000000000000000000
χ304444441-2411-2-21-2-4-41-21-2-1-1-1-122221-2-1-1221-200000000000000000000
χ31444444-214-2-211-2144-21-21-2-2-2-21111-21-2-211-2100000000000000000000
χ32444444-214-2-211-21-4-4-21-212222-1-1-1-1-2122-1-1-2100000000000000000000
χ3344444-41-2-411-2-21-24-41-21-21111-2-2-2-2-12-1-122-1200000000000000000000
χ3444444-41-2-411-2-21-2-441-21-2-1-1-1-12222-1211-2-2-1200000000000000000000
χ3544444-4-21-4-2-211-214-4-21-21-2-2-2-211112-122-1-12-100000000000000000000
χ3644444-4-21-4-2-211-21-44-21-212222-1-1-1-12-1-2-2112-100000000000000000000
χ3744-4-4441-2-411-2-21-200-12-1233-3-300001-23-300-1200000000000000000000
χ3844-4-4441-2-411-2-21-200-12-12-3-33300001-2-3300-1200000000000000000000
χ3944-4-444-21-4-2-211-21002-12-1000033-3-3-21003-32-100000000000000000000
χ4044-4-444-21-4-2-211-21002-12-10000-3-333-2100-332-100000000000000000000
χ4144-4-44-41-2411-2-21-200-12-1233-3-30000-12-33001-200000000000000000000
χ4244-4-44-41-2411-2-21-200-12-12-3-3330000-123-3001-200000000000000000000
χ4344-4-44-4-214-2-211-21002-12-1000033-3-32-100-33-2100000000000000000000
χ4444-4-44-4-214-2-211-21002-12-10000-3-3332-1003-3-2100000000000000000000
χ45888-8-802-40-2-2442-4002-4-24000000000000000000000000000000000000
χ46888-8-80-42044-2-2-4200-424-2000000000000000000000000000000000000
χ4788-88-802-40-2-2442-400-242-4000000000000000000000000000000000000
χ4888-88-80-42044-2-2-42004-2-42000000000000000000000000000000000000
χ498-800002-406-600-240000000023−2323−2323−230000000000000000000000000000
χ508-800002-406-600-2400000000−2323−2323−23230000000000000000000000000000
χ518-800002-40-6600-2400000023−230023−23−23230000000000000000000000000000
χ528-800002-40-6600-24000000−232300−232323−230000000000000000000000000000
χ538-800008800000-8-8000000000000000000000000000000000000000000
χ548-80000-420006-64-200000023−2323−23−2323000000000000000000000000000000
χ558-80000-420006-64-2000000−2323−232323−23000000000000000000000000000000
χ568-80000-42000-664-200000023−23−23230023−230000000000000000000000000000
χ578-80000-42000-664-2000000−232323−2300−23230000000000000000000000000000

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