Finite Group Databasebeta

← Group #11790318

Character table — Group #11790318

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
χ91-11-1-1111i−i-1-111-1-1-1-111-111-111-1-111-1-1ii−i−i1-111-1-1i−ii−i11-1-111-1-1i−i1-1ii−i−ii−ii−i
χ101-11-1-1111i−i-1-111-1-1-1-111-111-111-1-1-1-111ii−i−i1-1-1-111i−i−ii11-1-1-1-111i−i-11−i−iiii−i−ii
χ111-11-1-1111i−i-1-111-1-1-1-111-111-1-1-11111-1-1ii−i−i1-1-1-111−iii−i-1-11111-1-1i−i-11−i−iii−iii−i
χ121-11-1-1111i−i-1-111-1-1-1-111-111-1-1-111-1-111ii−i−i1-111-1-1−ii−ii-1-111-1-111i−i1-1ii−i−i−ii−ii
χ131-11-1-1111−ii-1-111-1-1-1-111-111-111-1-111-1-1−i−iii1-111-1-1−ii−ii11-1-111-1-1−ii1-1−i−iii−ii−ii
χ141-11-1-1111−ii-1-111-1-1-1-111-111-111-1-1-1-111−i−iii1-1-1-111−iii−i11-1-1-1-111−ii-11ii−i−i−iii−i
χ151-11-1-1111−ii-1-111-1-1-1-111-111-1-1-11111-1-1−i−iii1-1-1-111i−i−ii-1-11111-1-1−ii-11ii−i−ii−i−ii
χ161-11-1-1111−ii-1-111-1-1-1-111-111-1-1-111-1-111−i−iii1-111-1-1i−ii−i-1-111-1-111−ii1-1−i−iiii−ii−i
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
χ272-22-22-22200-2-222-2-222-2-22-2-220000000000002-2000000000000000000002-2-220000
χ282-22-22-22200-2-222-2-222-2-22-2-220000000000002-200000000000000000000-222-20000
χ292-22-22-22200-2-222-2-222-2-2-222-2000000000000-2222-2-200000000000000-2200000000
χ302-22-22-22200-2-222-2-222-2-2-222-2000000000000-22-2-222000000000000002-200000000
χ312-22-2-22222i−2i-2-222-2-2-2-2222-2-22000000002i2i−2i−2i-220000000000000000−2i2i0000000000
χ322-22-2-2222−2i2i-2-222-2-2-2-2222-2-2200000000−2i−2i2i2i-2200000000000000002i−2i0000000000
χ332-2-22002200-2-2-2-2220000-22-222−2−222−2−220000002-2-2200002−2−222−2−22000000000000
χ342-2-22002200-2-2-2-2220000-22-222−2−22−222−2000000-222-200002−2−22−222−2000000000000
χ352-2-22002200-2-2-2-2220000-22-22−222−22−2−22000000-222-20000−222−22−2−22000000000000
χ362-2-22002200-2-2-2-2220000-22-22−222−2−222−20000002-2-220000−222−2−222−2000000000000
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
χ464-44-4-441-24i−4i-121-2-12-121-20000000022-2-2i−2i−i2i000000002i−2i0000-1-1110000000000−ii
χ474-44-4-441-24i−4i-121-2-12-121-200000000-2-222i−2i−i2i00000000−2i2i000011-1-10000000000i−i
χ484-44-4-441-2−4i4i-121-2-12-121-20000000022-2-2−i2ii−2i00000000−2i2i0000-1-1110000000000i−i
χ494-44-4-441-2−4i4i-121-2-12-121-200000000-2-222−i2ii−2i000000002i−2i000011-1-10000000000−ii
χ504-44-4-44-214i−4i2-1-212-12-1-21000022-2-20000−2ii2i−i0000002i−2i00-1-111000000000000−ii00
χ514-44-4-44-214i−4i2-1-212-12-1-210000-2-2220000−2ii2i−i000000−2i2i0011-1-1000000000000i−i00
χ524-44-4-44-21−4i4i2-1-212-12-1-21000022-2-200002i−i−2ii000000−2i2i00-1-111000000000000i−i00
χ534-44-4-44-21−4i4i2-1-212-12-1-210000-2-22200002i−i−2ii0000002i−2i0011-1-1000000000000−ii00
χ544-4-44004400-4-4-4-44400004-44-4000000000000000000000000000000000000000000
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
χ618-88-88-82-400-242-4-242-4-240000000000000000000000000000000000000000000000
χ628-88-88-8-42004-2-424-2-424-20000000000000000000000000000000000000000000000
χ638-8-88002-400-24-242-400000000000022−22−2222000000000000000000−222−2000000000000
χ648-8-88002-400-24-242-4000000000000−222222−220000000000000000002−2−22000000000000
χ658-8-8800-42004-24-2-420000000022−22−2222000000000000000000−222−20000000000000000
χ668-8-8800-42004-24-2-4200000000−222222−220000000000000000002−2−220000000000000000

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