Finite Group Databasebeta

← Group #11787919

Character table — Group #11787919

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1122244444444888889912121212161616161818182424242424242424242436363636363636363636484848484848
order1224433446666612121212224444121212122442288881212121244444444446624242424
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111-1-1-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ51111111-1-1111111111111111-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1
χ61111111-1-1111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ71111111-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ81111111-1-111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111
χ9111-1-1111-111111-1-1-1-1-1-111-1-111-1-1-1111-1i−ii−i11-1-11-1ii−i−iii−i−i1-1i−ii−i
χ10111-1-1111-111111-1-1-1-1-1-111-1-111-1-1-1111-1−ii−ii11-1-11-1−i−iii−i−iii1-1−ii−ii
χ11111-1-1111-111111-1-1-1-1-1-1-1-11111-1-1-111-11i−ii−i-1-1111-1−i−iii−i−iii-11i−ii−i
χ12111-1-1111-111111-1-1-1-1-1-1-1-11111-1-1-111-11−ii−ii-1-1111-1ii−i−iii−i−i-11−ii−ii
χ13111-1-111-1111111-1-1-1-1-1-111-1-1-1-111-111-11i−i−ii11-1-1-11ii−i−i−i−iii-11i−i−ii
χ14111-1-111-1111111-1-1-1-1-1-111-1-1-1-111-111-11−iii−i11-1-1-11−i−iiiii−i−i-11−iii−i
χ15111-1-111-1111111-1-1-1-1-1-1-1-111-1-111-1111-1i−i−ii-1-111-11−i−iiiii−i−i1-1i−i−ii
χ16111-1-111-1111111-1-1-1-1-1-1-1-111-1-111-1111-1−iii−i-1-111-11ii−i−i−i−iii1-1−iii−i
χ17222222222222222222-2-200002222-2-2-20000000000-2-200000000000000
χ182222222-2-2222222222-2-20000-2-2-2-2-2-2-200000000002200000000000000
χ19222-2-2222-222222-2-2-2-222000022-2-22-2-20000000000-2200000000000000
χ20222-2-222-2222222-2-2-2-2220000-2-2222-2-200000000002-200000000000000
χ2122-22-2220022-2-2-22-22-22200000000-22-200000000000000002-22-2000000
χ2222-22-2220022-2-2-22-22-22200000000-22-20000000000000000-22-22000000
χ2322-22-2220022-2-2-22-22-2-2-2000000002-220000000000002i−2i2i−2i0000000000
χ2422-22-2220022-2-2-22-22-2-2-2000000002-22000000000000−2i2i−2i2i0000000000
χ2522-2-22220022-2-2-2-22-222200000000-2-220000000000002-2-220000000000
χ2622-2-22220022-2-2-2-22-222200000000-2-22000000000000-222-20000000000
χ2722-2-22220022-2-2-2-22-22-2-20000000022-200000000000000002i−2i−2i2i000000
χ2822-2-22220022-2-2-2-22-22-2-20000000022-20000000000000000−2i2i2i−2i000000
χ29444441-2441-2-2-21-2-2110000001-21-20000022220000000000000000-1-1-1-1
χ30444441-2441-2-2-21-2-2110000001-21-200000-2-2-2-200000000000000001111
χ31444441-2-4-41-2-2-21-2-211000000-12-120000022-2-20000000000000000-1-111
χ32444441-2-4-41-2-2-21-2-211000000-12-1200000-2-222000000000000000011-1-1
χ3344444-2144-2111-211-2-2002222-21-21000220000-1-1-1-10000000000-1-10000
χ3444444-2144-2111-211-2-200-2-2-2-2-21-21000-2-2000011110000000000110000
χ3544444-21-4-4-2111-211-2-20022222-12-1000-2-20000-1-1-1-10000000000110000
χ3644444-21-4-4-2111-211-2-200-2-2-2-22-12-100022000011110000000000-1-10000
χ37444-4-41-24-41-2-2-2122-1-10000001-2-12000002i−2i2i−2i0000000000000000−ii−ii
χ38444-4-41-24-41-2-2-2122-1-10000001-2-1200000−2i2i−2i2i0000000000000000i−ii−i
χ39444-4-41-2-441-2-2-2122-1-1000000-121-2000002i−2i−2i2i0000000000000000−iii−i
χ40444-4-41-2-441-2-2-2122-1-1000000-121-200000−2i2i2i−2i0000000000000000i−i−ii
χ41444-4-4-214-4-2111-2-1-1220022-2-2-212-10002-20000-1-1110000000000-110000
χ42444-4-4-214-4-2111-2-1-12200-2-222-212-1000-22000011-1-100000000001-10000
χ43444-4-4-21-44-2111-2-1-1220022-2-22-1-21000-220000-1-11100000000001-10000
χ44444-4-4-21-44-2111-2-1-12200-2-2222-1-210002-2000011-1-10000000000-110000
χ454-40004400-4-400000004-42i−2i2i−2i00000000000002i−2i2i−2i0000000000000000
χ464-40004400-4-400000004-4−2i2i−2i2i0000000000000−2i2i−2i2i0000000000000000
χ474-40004400-4-40000000-442i−2i−2i2i00000000000002i−2i−2i2i0000000000000000
χ484-40004400-4-40000000-44−2i2i2i−2i0000000000000−2i2i2i−2i0000000000000000
χ4988-88-82-4002-444-2-442-2000000000000000000000000000000000000000
χ5088-88-8-4200-42-2-242-2-44000000000000000000000000000000000000000
χ5188-8-882-4002-444-24-4-22000000000000000000000000000000000000000
χ5288-8-88-4200-42-2-24-224-4000000000000000000000000000000000000000
χ538-8000-42004-26-60000000004i−4i000000000000000−2i2i0000000000000000
χ548-8000-42004-26-6000000000−4i4i0000000000000002i−2i0000000000000000
χ558-8000-42004-2-6600000004i−4i000000000000000−2i2i000000000000000000
χ568-8000-42004-2-660000000−4i4i0000000000000002i−2i000000000000000000
χ5716-160004-800-480000000000000000000000000000000000000000000000

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