Finite Group Databasebeta

← Group #11787605

Character table — Group #11787605

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444666688888888999912121212121212121212121212121616181824242424242424242424242436363636363648487272
order122244334466666644441212121212121212222244444488881212121212124422121212121212242424244488886644
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ41111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111-1-111111111111-1-1-1-11111111-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ611111111-1-111111111111-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-1-1-11-1-1-1-111111111111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1
χ91-11-11-111i−i-11-1-1-11ii−i−i1ii−i−i1-1-111-1-111-1-1i−iii−i−iii−i−ii−i-111-1i−i11-1-1ii−i−ii−i11-1-11-1i−i
χ101-11-11-111i−i-11-1-1-11ii−i−i1ii−i−i1-1-111-1-111-1-1i−i−i−iiiii−i−ii−i-11-11i−i11-1-1−i−iiii−i-1-111-11−ii
χ111-11-11-111i−i-11-1-1-11−i−iii1ii−i−i1-1-111-1-1-1-111−iiii−i−i−i−iiii−i-111-1−ii-1-111ii−i−ii−i-1-1111-1−ii
χ121-11-11-111i−i-11-1-1-11−i−iii1ii−i−i1-1-111-1-1-1-111−ii−i−iii−i−iiii−i-11-11−ii-1-111−i−iiii−i11-1-1-11i−i
χ131-11-11-111−ii-11-1-1-11ii−i−i1−i−iii1-1-111-1-1-1-111i−iii−i−iii−i−i−ii-11-11i−i-1-111ii−i−i−ii11-1-1-11−ii
χ141-11-11-111−ii-11-1-1-11ii−i−i1−i−iii1-1-111-1-1-1-111i−i−i−iiiii−i−i−ii-111-1i−i-1-111−i−iii−ii-1-1111-1i−i
χ151-11-11-111−ii-11-1-1-11−i−iii1−i−iii1-1-111-1-111-1-1−iiii−i−i−i−iii−ii-11-11−ii11-1-1ii−i−i−ii-1-111-11i−i
χ161-11-11-111−ii-11-1-1-11−i−iii1−i−iii1-1-111-1-111-1-1−ii−i−iii−i−iii−ii-111-1−ii11-1-1−i−iii−ii11-1-11-1−ii
χ172222222222222222000022222222-2-2-2-20000000000000022-2-2000000000000-2-200000000
χ1822222222-2-222222200002-2-2-2-2222-2-2-2-200000000000000-2-2-2-20000000000002200000000
χ192222-2-222002222220000-20000-2-2-2-2-2-2-22-22-20000000000002200002-22-200000000000000
χ202222-2-222002222220000-20000-2-2-2-2-2-2-2-22-22000000000000220000-22-2200000000000000
χ212222-2-222002222222222-20000-2-2-222220000-2-20000222200-2-200-2-2000000000000000000
χ222222-2-22200222222-2-2-2-2-20000-2-2-222220000220000-2-2-2-200-2-20022000000000000000000
χ2322-2-20022002-2-22-2-22-22-2000000002-2-22000000i2−i2i2−i22-22-2000000000000i2−i2i2−i200i2−i2i2−i20000
χ2422-2-20022002-2-22-2-22-22-2000000002-2-22000000−i2i2−i2i22-22-2000000000000−i2i2−i2i200−i2i2−i2i20000
χ2522-2-20022002-2-22-2-2-22-22000000002-2-22000000i2−i2i2−i2-22-22000000000000i2−i2i2−i200−i2i2−i2i20000
χ2622-2-20022002-2-22-2-2-22-22000000002-2-22000000−i2i2−i2i2-22-22000000000000−i2i2−i2i200i2−i2i2−i20000
χ272-22-22-2222i−2i-22-2-2-22000022i2i−2i−2i2-2-2-2-222000000000000002i−2i2-2000000000000−2i2i00000000
χ282-22-22-222−2i2i-22-2-2-2200002−2i−2i2i2i2-2-2-2-22200000000000000−2i2i2-20000000000002i−2i00000000
χ292-22-2-222200-22-2-2-220000-20000-222-2-2222-2-22000000000000-2200002-2-2200000000000000
χ302-22-2-222200-22-2-2-220000-20000-222-2-222-222-2000000000000-220000-222-200000000000000
χ312-22-2-222200-22-2-2-222i2i−2i−2i-20000-22222-2-20000−2i2i00002i2i−2i−2i002-200−2i2i000000000000000000
χ322-22-2-222200-22-2-2-22−2i−2i2i2i-20000-22222-2-200002i−2i0000−2i−2i2i2i002-2002i−2i000000000000000000
χ332-2-22002200-2-22-22-22i−2i−2i2i000000002-22-20000002−2−222i−2i−2i2i0000000000002−2−2200−i2i2i2−i20000
χ342-2-22002200-2-22-22-22i−2i−2i2i000000002-22-2000000−222−22i−2i−2i2i000000000000−222−200i2−i2−i2i20000
χ352-2-22002200-2-22-22-2−2i2i2i−2i000000002-22-20000002−2−22−2i2i2i−2i0000000000002−2−2200i2−i2−i2i20000
χ362-2-22002200-2-22-22-2−2i2i2i−2i000000002-22-2000000−222−2−2i2i2i−2i000000000000−222−200−i2i2i2−i20000
χ374444441-244-2-2-21112222-2111111-200002222220000-1-1-1-1-2-20000-1-1-1-1-1-100000000000000
χ384444441-244-2-2-2111-2-2-2-2-2111111-20000-2-2-2-2-2-200001111-2-2000011111100000000000000
χ394444441-2-4-4-2-2-21112222-2-1-1-1-111-20000-2-2-2-2220000-1-1-1-1220000-1-1111100000000000000
χ404444441-2-4-4-2-2-2111-2-2-2-2-2-1-1-1-111-200002222-2-20000111122000011-1-1-1-100000000000000
χ41444444-2144111-2-2-200001-2-2-2-2-2-21000000000022220000110022000000-1-1-1-1000000-1-100
χ42444444-2144111-2-2-200001-2-2-2-2-2-210000000000-2-2-2-200001100-2-200000011110000001100
χ43444444-21-4-4111-2-2-2000012222-2-21000000000022220000-1-100-2-2000000-1-1-1-10000001100
χ44444444-21-4-4111-2-2-2000012222-2-210000000000-2-2-2-20000-1-100220000001111000000-1-100
χ454444-4-41-200-2-2-2111222223-33-3-1-1200002-22-2-2-20000-1-1-1-100000011-11-1100000000000000
χ464444-4-41-200-2-2-211122222-33-33-1-120000-22-22-2-20000-1-1-1-1000000111-11-100000000000000
χ474444-4-41-200-2-2-2111-2-2-2-223-33-3-1-120000-22-222200001111000000-1-11-11-100000000000000
χ484444-4-41-200-2-2-2111-2-2-2-22-33-33-1-1200002-22-22200001111000000-1-1-11-1100000000000000
χ4944-4-40044004-4-44-4-4000000000000-444-40000000000000000000000000000000000000000
χ504-44-44-41-24i−4i2-22-1-112i2i−2i−2i-2ii−i−i1-12000022-2-22i−2i0000−i−iii−2i2i0000−ii-1-11100000000000000
χ514-44-44-41-24i−4i2-22-1-11−2i−2i2i2i-2ii−i−i1-120000-2-222−2i2i0000ii−i−i−2i2i0000i−i11-1-100000000000000
χ524-44-44-41-2−4i4i2-22-1-112i2i−2i−2i-2−i−iii1-120000-2-2222i−2i0000−i−iii2i−2i0000−ii11-1-100000000000000
χ534-44-44-41-2−4i4i2-22-1-11−2i−2i2i2i-2−i−iii1-12000022-2-2−2i2i0000ii−i−i2i−2i0000i−i-1-11100000000000000
χ544-44-44-4-214i−4i-11-122-200001−2i−2i2i2i-22-100000000002i2i−2i−2i0000i−i002-2000000−i−iii000000-1100
χ554-44-44-4-214i−4i-11-122-200001−2i−2i2i2i-22-10000000000−2i−2i2i2i0000i−i00-22000000ii−i−i0000001-100
χ564-44-44-4-21−4i4i-11-122-2000012i2i−2i−2i-22-100000000002i2i−2i−2i0000−ii00-22000000−i−iii0000001-100
χ574-44-44-4-21−4i4i-11-122-2000012i2i−2i−2i-22-10000000000−2i−2i2i2i0000−ii002-2000000ii−i−i000000-1100
χ584-44-4-441-2002-22-1-112i2i−2i−2i23i−3i−3i3i-11-200002-2-22−2i2i0000−i−iii000000i−i-111-100000000000000
χ594-44-4-441-2002-22-1-112i2i−2i−2i2−3i3i3i−3i-11-20000-222-2−2i2i0000−i−iii000000i−i1-1-1100000000000000
χ604-44-4-441-2002-22-1-11−2i−2i2i2i23i−3i−3i3i-11-20000-222-22i−2i0000ii−i−i000000−ii1-1-1100000000000000
χ614-44-4-441-2002-22-1-11−2i−2i2i2i2−3i3i3i−3i-11-200002-2-222i−2i0000ii−i−i000000−ii-111-100000000000000
χ624-4-44004400-4-44-44-4000000000000-44-440000000000000000000000000000000000000000
χ638888-8-8-4200222-4-4-40000-2000044-200000000000000000000000000000000000000000000
χ6488-8-8002-400-4442-2-24-44-40000000000000000000000-22-2200000000000000000000000000
χ6588-8-8002-400-4442-2-2-44-4400000000000000000000002-22-200000000000000000000000000
χ6688-8-800-42002-2-2-44400000000000000000000002i2−2i22i2−2i20000000000000000−i2i2−i2i20000000000
χ6788-8-800-42002-2-2-4440000000000000000000000−2i22i2−2i22i20000000000000000i2−i2i2−i20000000000
χ688-88-8-88-4200-22-244-40000-200004-4200000000000000000000000000000000000000000000
χ698-8-88002-40044-4-22-24i−4i−4i4i0000000000000000000000−2i2i2i−2i00000000000000000000000000
χ708-8-88002-40044-4-22-2−4i4i4i−4i00000000000000000000002i−2i−2i2i00000000000000000000000000
χ718-8-8800-4200-2-224-44000000000000000000000022−22−22220000000000000000−222−20000000000
χ728-8-8800-4200-2-224-440000000000000000000000−222222−2200000000000000002−2−220000000000

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