Finite Group Databasebeta

← Group #11791441

Character table — Group #11791441

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488889999121212121212121216161616181818181818242424242424242424242424363636363636363648484848
order12224433446666661212121222228888888812121212444444444424242424242424244444444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111-1-11111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1
χ611111111-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ711111111-1-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ811111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ91-1-111-111i−i-1-1-1-11111-1-1-111-1ii−i−iii−i−iii−i−i1-111-1-11-11-1ii−i−iii−i−ii−i1-1ii−i−i1-11-1
χ101-1-111-111i−i-1-1-1-11111-1-1-111-1ii−i−i−i−iiiii−i−i1-1-1-1111-1-11ii−i−i−i−iiii−i-11−i−iii1-1-11
χ111-1-111-111i−i-1-1-1-11111-1-1-111-1−i−iiiii−i−iii−i−i1-1-1-111-111-1−i−iiiii−i−ii−i-11−i−iii-111-1
χ121-1-111-111i−i-1-1-1-11111-1-1-111-1−i−iii−i−iiiii−i−i1-111-1-1-11-11−i−iii−i−iiii−i1-1ii−i−i-11-11
χ131-1-111-111−ii-1-1-1-11111-1-1-111-1ii−i−iii−i−i−i−iii1-111-1-1-11-11ii−i−iii−i−i−ii1-1−i−iii-11-11
χ141-1-111-111−ii-1-1-1-11111-1-1-111-1ii−i−i−i−iii−i−iii1-1-1-111-111-1ii−i−i−i−iii−ii-11ii−i−i-111-1
χ151-1-111-111−ii-1-1-1-11111-1-1-111-1−i−iiiii−i−i−i−iii1-1-1-1111-1-11−i−iiiii−i−i−ii-11ii−i−i1-1-11
χ161-1-111-111−ii-1-1-1-11111-1-1-111-1−i−iii−i−iii−i−iii1-111-1-11-11-1−i−iii−i−iii−ii1-1−i−iii1-11-1
χ1722222222222222222222-2-2-2-2000000002222-2-20000000000000000-2-20000000000
χ1822222222-2-22222222222-2-2-2-200000000-2-2-2-2-2-20000000000000000220000000000
χ192222-2-22200222222-2-2-2-22222000000000000-2-2222200000000000000-2-200000000
χ202222-2-22200222222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000002200000000
χ212222-2-22200222222-2-2-2-2-2-2-2-200000000000022000000000000000000002i−2i2i−2i0000
χ222222-2-22200222222-2-2-2-2-2-2-2-20000000000002200000000000000000000−2i2i−2i2i0000
χ2322-2-200220022-2-2-2-2000022-2-22−22−22−22−20000002-22-200002−22−22−22−2000000000000
χ2422-2-200220022-2-2-2-2000022-2-22−22−2−22−22000000-22-2200002−22−2−22−22000000000000
χ2522-2-200220022-2-2-2-2000022-2-2−22−222−22−2000000-22-220000−22−222−22−2000000000000
χ2622-2-200220022-2-2-2-2000022-2-2−22−22−22−220000002-22-20000−22−22−22−22000000000000
χ272-22-2002200-2-222-2-20000-22-22i2−i2−i2i2i2−i2−i2i20000002-2-220000i2−i2−i2i2i2−i2−i2i2000000000000
χ282-22-2002200-2-222-2-20000-22-22i2−i2−i2i2−i2i2i2−i2000000-222-20000i2−i2−i2i2−i2i2i2−i2000000000000
χ292-22-2002200-2-222-2-20000-22-22−i2i2i2−i2i2−i2−i2i2000000-222-20000−i2i2i2−i2i2−i2−i2i2000000000000
χ302-22-2002200-2-222-2-20000-22-22−i2i2i2−i2−i2i2i2−i20000002-2-220000−i2i2i2−i2−i2i2i2−i2000000000000
χ312-2-222-2222i−2i-2-2-2-22222-2-22-2-22000000002i2i−2i−2i-220000000000000000−2i2i0000000000
χ322-2-222-222−2i2i-2-2-2-22222-2-22-2-2200000000−2i−2i2i2i-2200000000000000002i−2i0000000000
χ332-2-22-222200-2-2-2-222-2-2222-2-220000000000002-2000000000000000000002-2-220000
χ342-2-22-222200-2-2-2-222-2-2222-2-220000000000002-200000000000000000000-222-20000
χ352-2-22-222200-2-2-2-222-2-222-222-2000000000000-2222-2-200000000000000-2200000000
χ362-2-22-222200-2-2-2-222-2-222-222-2000000000000-22-2-222000000000000002-200000000
χ374444441-2441-21-21-21-21-20000000022221-21-200000000220000-1-1-1-10000000000-1-1
χ384444441-2441-21-21-21-21-200000000-2-2-2-21-21-200000000-2-200001111000000000011
χ394444441-2-4-41-21-21-21-21-2000000002222-12-1200000000-2-20000-1-1-1-1000000000011
χ404444441-2-4-41-21-21-21-21-200000000-2-2-2-2-12-120000000022000011110000000000-1-1
χ41444444-2144-21-21-21-21-21000022220000-21-210000002200-1-1-1-1000000000000-1-100
χ42444444-2144-21-21-21-21-210000-2-2-2-20000-21-21000000-2-20011110000000000001100
χ43444444-21-4-4-21-21-21-21-210000222200002-12-1000000-2-200-1-1-1-10000000000001100
χ44444444-21-4-4-21-21-21-21-210000-2-2-2-200002-12-100000022001111000000000000-1-100
χ4544-4-400440044-4-4-4-40000-4-444000000000000000000000000000000000000000000
χ464-44-4004400-4-444-4-400004-44-4000000000000000000000000000000000000000000
χ474-4-444-41-24i−4i-12-121-21-2-12000000002i2i−2i−2ii−2i−i2i000000002-20000−i−iii0000000000-11
χ484-4-444-41-24i−4i-12-121-21-2-1200000000−2i−2i2i2ii−2i−i2i00000000-220000ii−i−i00000000001-1
χ494-4-444-41-2−4i4i-12-121-21-2-12000000002i2i−2i−2i−i2ii−2i00000000-220000−i−iii00000000001-1
χ504-4-444-41-2−4i4i-12-121-21-2-1200000000−2i−2i2i2i−i2ii−2i000000002-20000ii−i−i0000000000-11
χ514-4-444-4-214i−4i2-12-1-21-212-100002i2i−2i−2i0000−2ii2i−i0000002-200−i−iii000000000000-1100
χ524-4-444-4-214i−4i2-12-1-21-212-10000−2i−2i2i2i0000−2ii2i−i000000-2200ii−i−i0000000000001-100
χ534-4-444-4-21−4i4i2-12-1-21-212-100002i2i−2i−2i00002i−i−2ii000000-2200−i−iii0000000000001-100
χ544-4-444-4-21−4i4i2-12-1-21-212-10000−2i−2i2i2i00002i−i−2ii0000002-200ii−i−i000000000000-1100
χ558888-8-82-4002-42-42-4-24-240000000000000000000000000000000000000000000000
χ568888-8-8-4200-42-42-424-24-20000000000000000000000000000000000000000000000
χ5788-8-8002-4002-4-24-2400000000000022−2222−22000000000000000000−22−22000000000000
χ5888-8-8002-4002-4-24-24000000000000−2222−22220000000000000000002−22−2000000000000
χ5988-8-800-4200-424-24-20000000022−2222−22000000000000000000−22−220000000000000000
χ6088-8-800-4200-424-24-200000000−2222−22220000000000000000002−22−20000000000000000
χ618-88-8002-400-242-4-240000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i2000000000000
χ628-88-8002-400-242-4-24000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i2000000000000
χ638-88-800-42004-2-424-2000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000000000000
χ648-88-800-42004-2-424-200000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000000000000
χ658-8-88-882-400-24-242-4-242-40000000000000000000000000000000000000000000000
χ668-8-88-88-42004-24-2-424-2-420000000000000000000000000000000000000000000000

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