Finite Group Databasebeta

← Group #11870831

Character table — Group #11870831

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order12222244334666666666666121212121212121244444444444444444444121212121212121248888888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-1-1111111111-1-1-1-11-11-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-1-111111-1-1-1-11111-11-11
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-11111-1-1-1-11-1-1-1-111111-11-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-111111-1-1-1-111111-1-1-1-1-11-11
χ91111-1-11111-111-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-1-1-1111-1-1111-1-111-1-1-111-1-111-1-1-111-1
χ101111-1-11111-111-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-1-1-111-111-111-1-111-1-1-1-1-111-1-1111-1-11
χ111111-1-11111-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1111-1-11-1-111-1-111-1-1-111-1-111-111-1
χ121111-1-11111-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-111-111-1-1-111-1-111-111-1-111-1-11-1-11
χ131111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-111-1-1-1-111-1-111
χ141111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11111-1-111-1-1
χ151111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-1-11111-1-1-1-111
χ161111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-111-1-1-1-11111-1-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-222220000000022-2-2000000000000-2000000000000
χ192222-2-22222-222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-20000000022-2-20000000000002000000000000
χ202222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-22222222200000000-2-2-2-20000000000002000000000000
χ2122-2-22-2002202222-2-2-2-2-2-22-20000000022-2-2000000002-20000000000000002−22−22−22−20000
χ2222-2-22-2002202222-2-2-2-2-2-22-20000000022-2-2000000002-2000000000000000−22−22−22−220000
χ2322-2-22-2002202222-2-2-2-2-2-22-200000000-2-22200000000-220000000000000002−22−2−22−220000
χ2422-2-22-2002202222-2-2-2-2-2-22-200000000-2-22200000000-22000000000000000−22−222−22−20000
χ2522-2-2-220022022-2-222-2-2-2-2-220000000022-2-200000000-220000000000000002−2−222−2−220000
χ2622-2-2-220022022-2-222-2-2-2-2-220000000022-2-200000000-22000000000000000−222−2−222−20000
χ2722-2-2-220022022-2-222-2-2-2-2-2200000000-2-222000000002-20000000000000002−2−22−222−20000
χ2822-2-2-220022022-2-222-2-2-2-2-2200000000-2-222000000002-2000000000000000−222−22−2−220000
χ292-2-22002i−2i220-2-2000022-2-2002i2i−2i−2i00002i−2i2i−2i002i−2i002-2002-20000002-2002i−2i0000000000000
χ302-2-22002i−2i220-2-2000022-2-2002i2i−2i−2i00002i−2i2i−2i00−2i2i00-22002-2000000-2200−2i2i0000000000000
χ312-2-22002i−2i220-2-2000022-2-2002i2i−2i−2i0000−2i2i−2i2i2i−2i002-20000-2200002-2002i−2i000000000000000
χ322-2-22002i−2i220-2-2000022-2-2002i2i−2i−2i0000−2i2i−2i2i−2i2i00-220000-220000-2200−2i2i000000000000000
χ332-2-2200−2i2i220-2-2000022-2-200−2i−2i2i2i00002i−2i2i−2i2i−2i00-220000-220000-22002i−2i000000000000000
χ342-2-2200−2i2i220-2-2000022-2-200−2i−2i2i2i00002i−2i2i−2i−2i2i002-20000-2200002-200−2i2i000000000000000
χ352-2-2200−2i2i220-2-2000022-2-200−2i−2i2i2i0000−2i2i−2i2i002i−2i00-22002-2000000-22002i−2i0000000000000
χ362-2-2200−2i2i220-2-2000022-2-200−2i−2i2i2i0000−2i2i−2i2i00−2i2i002-2002-20000002-200−2i2i0000000000000
χ37444444441-241-211111-21-2-2-21-21-211-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ38444444441-241-211111-21-2-2-21-21-211-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ3944444444-214-21-2-2-2-2-21-2111-21-21-2-2110000000000000000222200000000000000000-1-1-1-1
χ4044444444-214-21-2-2-2-2-21-2111-21-21-2-2110000000000000000-2-2-2-2000000000000000001111
χ41444444-4-41-2-41-211111-21-2-2-2-12-12-1-12200002222-2-2-2-2000000001111-1-1-1-10000000000000
χ42444444-4-41-2-41-211111-21-2-2-2-12-12-1-1220000-2-2-2-2222200000000-1-1-1-111110000000000000
χ43444444-4-4-21-4-21-2-2-2-2-21-21112-12-122-1-100000000000000002-22-200000000000000000-11-11
χ44444444-4-4-21-4-21-2-2-2-2-21-21112-12-122-1-10000000000000000-22-22000000000000000001-11-1
χ454444-4-4441-2-41-2-1-1-1-11-21-2221-21-2-1-122000022-2-222-2-200000000-1-111-1-1110000000000000
χ464444-4-4441-2-41-2-1-1-1-11-21-2221-21-2-1-1220000-2-222-2-2220000000011-1-111-1-10000000000000
χ474444-4-444-21-4-212222-21-21-1-1-21-2122-1-100000000000000002-2-22000000000000000001-1-11
χ484444-4-444-21-4-212222-21-21-1-1-21-2122-1-10000000000000000-222-200000000000000000-111-1
χ494444-4-4-4-41-241-2-1-1-1-11-21-222-12-1211-2-2000022-2-2-2-2220000000011-1-1-1-1110000000000000
χ504444-4-4-4-41-241-2-1-1-1-11-21-222-12-1211-2-20000-2-22222-2-200000000-1-11111-1-10000000000000
χ514444-4-4-4-4-214-212222-21-21-1-12-12-1-2-211000000000000000022-2-20000000000000000011-1-1
χ524444-4-4-4-4-214-212222-21-21-1-12-12-1-2-2110000000000000000-2-22200000000000000000-1-111
χ534-44-40000440-4-40000-4-44400000000004i−4i−4i4i0000000000000000000000000000000000000
χ544-44-40000440-4-40000-4-4440000000000−4i4i4i−4i0000000000000000000000000000000000000
χ554-4-44004i−4i1-20-123-33-31-2-1200i−2i−i2i3i−3i0000002i−2i2i−2i2-22-200000000-11-11−ii−ii0000000000000
χ564-4-44004i−4i1-20-123-33-31-2-1200i−2i−i2i3i−3i000000−2i2i−2i2i-22-22000000001-11-1i−ii−i0000000000000
χ574-4-44004i−4i1-20-12-33-331-2-1200i−2i−i2i−3i3i0000002i−2i−2i2i2-2-2200000000-111-1−iii−i0000000000000
χ584-4-44004i−4i1-20-12-33-331-2-1200i−2i−i2i−3i3i000000−2i2i2i−2i-222-2000000001-1-11i−i−ii0000000000000
χ594-4-4400−4i4i1-20-123-33-31-2-1200−i2ii−2i−3i3i0000002i−2i2i−2i-22-22000000001-11-1−ii−ii0000000000000
χ604-4-4400−4i4i1-20-123-33-31-2-1200−i2ii−2i−3i3i000000−2i2i−2i2i2-22-200000000-11-11i−ii−i0000000000000
χ614-4-4400−4i4i1-20-12-33-331-2-1200−i2ii−2i3i−3i0000002i−2i−2i2i-222-2000000001-1-11−iii−i0000000000000
χ624-4-4400−4i4i1-20-12-33-331-2-1200−i2ii−2i3i−3i000000−2i2i2i−2i2-2-2200000000-111-1i−i−ii0000000000000
χ6388-8-88-8002-402-422-2-2-24-24-440000000000000000000000000000000000000000000000000
χ6488-8-88-800-420-42-4-4444-24-22-20000000000000000000000000000000000000000000000000
χ6588-8-8-88002-402-4-2-222-24-244-40000000000000000000000000000000000000000000000000
χ6688-8-8-8800-420-4244-4-44-24-2-220000000000000000000000000000000000000000000000000
χ678-88-800002-40-246-6-66-242-4000000000000000000000000000000000000000000000000000
χ688-88-800002-40-24-666-6-242-4000000000000000000000000000000000000000000000000000
χ698-88-80000-4204-200004-2-42000000006-600000000000000000000000000000000000000000
χ708-88-80000-4204-200004-2-4200000000-6600000000000000000000000000000000000000000
χ718-8-88008i−8i-4204-20000-424-200−4i2i4i−2i000000000000000000000000000000000000000000000
χ728-8-8800−8i8i-4204-20000-424-2004i−2i−4i2i000000000000000000000000000000000000000000000

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