Finite Group Databasebeta

← Group #11787363

Character table — Group #11787363

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444666688888888999912121212121212121212121212121616181824242424242424242424242436363636363648487272
order1222443344666666444412121212121212122222224444888812121212121244226612121212242424244488886644
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
χ511111111-1-111111111111-1-1-1-1111111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ611111111-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-1-1-11-1-1-1-11111111-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1
χ91-11-11-111i−i-11-1-11-111-1-11ii−i−i1-1-11-1-111-1ii−i−iii−i−i11-1-1i−i1-11-11-1ii−i−iii−i−ii−iii−i−i1-11-1
χ101-11-11-111i−i-11-1-11-111-1-11ii−i−i1-1-11-1-111-1ii−i−i−i−iii11-1-1i−i1-1-111-1ii−i−i−i−iiii−i−i−iii-11-11
χ111-11-11-111i−i-11-1-11-1-1-1111ii−i−i1-1-11-1-11-11−i−iiiii−i−i-1-111i−i1-11-1-11−i−iiiii−i−ii−i−i−iii1-1-11
χ121-11-11-111i−i-11-1-11-1-1-1111ii−i−i1-1-11-1-11-11−i−iii−i−iii-1-111i−i1-1-11-11−i−iii−i−iiii−iii−i−i-111-1
χ131-11-11-111−ii-11-1-11-111-1-11−i−iii1-1-11-1-111-1−i−iiiii−i−i11-1-1−ii1-1-111-1−i−iiiii−i−i−iiii−i−i-11-11
χ141-11-11-111−ii-11-1-11-111-1-11−i−iii1-1-11-1-111-1−i−iii−i−iii11-1-1−ii1-11-11-1−i−iii−i−iii−ii−i−iii1-11-1
χ151-11-11-111−ii-11-1-11-1-1-1111−i−iii1-1-11-1-11-11ii−i−iii−i−i-1-111−ii1-1-11-11ii−i−iii−i−i−ii−i−iii-111-1
χ161-11-11-111−ii-11-1-11-1-1-1111−i−iii1-1-11-1-11-11ii−i−i−i−iii-1-111−ii1-11-1-11ii−i−i−i−iii−iiii−i−i1-1-11
χ172222222222222222000022222222-2-2-2-20000000000000022-2-2000000000000-2-200000000
χ1822222222-2-222222200002-2-2-2-2222-2-2-2-200000000000000-2-2-2-20000000000002200000000
χ192222-2-222002222220000-20000-2-2-2-2-2-2-2002-22-200000000002200002-22-200000000000000
χ202222-2-222002222220000-20000-2-2-2-2-2-2-200-22-220000000000220000-22-2200000000000000
χ212222-2-222002222222222-20000-2-2-22222-2-200000000222200-2-200-2-2000000000000000000
χ222222-2-22200222222-2-2-2-2-20000-2-2-222222200000000-2-2-2-200-2-20022000000000000000000
χ2322-2-20022002-2-2-2-222i−2i2i−2i0000000022-2-2000000i2−i2i2−i22i−2i2i−2i000000000000i2−i2i2−i2002−22−20000
χ2422-2-20022002-2-2-2-222i−2i2i−2i0000000022-2-2000000−i2i2−i2i22i−2i2i−2i000000000000−i2i2−i2i200−22−220000
χ2522-2-20022002-2-2-2-22−2i2i−2i2i0000000022-2-2000000i2−i2i2−i2−2i2i−2i2i000000000000i2−i2i2−i200−22−220000
χ2622-2-20022002-2-2-2-22−2i2i−2i2i0000000022-2-2000000−i2i2−i2i2−2i2i−2i2i000000000000−i2i2−i2i2002−22−20000
χ272-22-22-2222i−2i-22-2-22-2000022i2i−2i−2i2-2-2-222-2000000000000002i−2i-22000000000000−2i2i00000000
χ282-22-22-222−2i2i-22-2-22-200002−2i−2i2i2i2-2-2-222-200000000000000−2i2i-220000000000002i−2i00000000
χ292-22-2-222200-22-2-22-20000-20000-222-222-2002i−2i−2i2i00000000002-200002i−2i−2i2i00000000000000
χ302-22-2-222200-22-2-22-20000-20000-222-222-200−2i2i2i−2i00000000002-20000−2i2i2i−2i00000000000000
χ312-22-2-222200-22-2-22-222-2-2-20000-2222-2-22-220000000022-2-200-2200-22000000000000000000
χ322-22-2-222200-22-2-22-2-2-222-20000-2222-2-222-200000000-2-22200-22002-2000000000000000000
χ332-2-22002200-2-222-2-22i−2i−2i2i000000002-22-20000002−2−222i−2i−2i2i0000000000002−2−2200−i2i2i2−i20000
χ342-2-22002200-2-222-2-22i−2i−2i2i000000002-22-2000000−222−22i−2i−2i2i000000000000−222−200i2−i2−i2i20000
χ352-2-22002200-2-222-2-2−2i2i2i−2i000000002-22-20000002−2−22−2i2i2i−2i0000000000002−2−2200i2−i2−i2i20000
χ362-2-22002200-2-222-2-2−2i2i2i−2i000000002-22-2000000−222−2−2i2i2i−2i000000000000−222−200−i2i2i2−i20000
χ374444441-244-2-21-2112222-2111111-200002222220000-1-1-1-1-2-20000-1-1-1-1-1-100000000000000
χ384444441-244-2-21-211-2-2-2-2-2111111-20000-2-2-2-2-2-200001111-2-2000011111100000000000000
χ394444441-2-4-4-2-21-2112222-2-1-1-1-111-2000022-2-2-2-20000-1-1-1-1220000-1-1111100000000000000
χ404444441-2-4-4-2-21-211-2-2-2-2-2-1-1-1-111-20000-2-222220000111122000011-1-1-1-100000000000000
χ41444444-214411-21-2-200001-2-2-2-2-2-21000000000022220000110022000000-1-1-1-1000000-1-100
χ42444444-214411-21-2-200001-2-2-2-2-2-210000000000-2-2-2-200001100-2-200000011110000001100
χ43444444-21-4-411-21-2-2000012222-2-21000000000022220000-1-100-2-2000000-1-1-1-10000001100
χ44444444-21-4-411-21-2-2000012222-2-210000000000-2-2-2-20000-1-100220000001111000000-1-100
χ454444-4-41-200-2-21-211222223-33-3-1-120000-2-22-22-20000-1-1-1-100000011-11-1100000000000000
χ464444-4-41-200-2-21-21122222-33-33-1-120000-2-2-22-220000-1-1-1-1000000111-11-100000000000000
χ474444-4-41-200-2-21-211-2-2-2-223-33-3-1-12000022-22-2200001111000000-1-11-11-100000000000000
χ484444-4-41-200-2-21-211-2-2-2-22-33-33-1-120000222-22-200001111000000-1-1-11-1100000000000000
χ4944-4-40044004-4-4-4-44000000000000-4-4440000000000000000000000000000000000000000
χ504-44-44-41-24i−4i2-2-121-122-2-2-2ii−i−i1-1200002-22i2i−2i−2i0000-1-111−2i2i0000-11−i−iii00000000000000
χ514-44-44-41-24i−4i2-2-121-1-2-222-2ii−i−i1-120000-22−2i−2i2i2i000011-1-1−2i2i00001-1ii−i−i00000000000000
χ524-44-44-41-2−4i4i2-2-121-122-2-2-2−i−iii1-1200002-2−2i−2i2i2i0000-1-1112i−2i0000-11ii−i−i00000000000000
χ534-44-44-41-2−4i4i2-2-121-1-2-222-2−i−iii1-120000-222i2i−2i−2i000011-1-12i−2i00001-1−i−iii00000000000000
χ544-44-44-4-214i−4i-112-1-2200001−2i−2i2i2i-22-100000000002i2i−2i−2i0000i−i002-2000000−i−iii000000-1100
χ554-44-44-4-214i−4i-112-1-2200001−2i−2i2i2i-22-10000000000−2i−2i2i2i0000i−i00-22000000ii−i−i0000001-100
χ564-44-44-4-21−4i4i-112-1-22000012i2i−2i−2i-22-100000000002i2i−2i−2i0000−ii00-22000000−i−iii0000001-100
χ574-44-44-4-21−4i4i-112-1-22000012i2i−2i−2i-22-10000000000−2i−2i2i2i0000−ii002-2000000ii−i−i000000-1100
χ584-44-4-441-2002-2-121-122-2-223i−3i−3i3i-11-20000-222i−2i−2i2i0000-1-1110000001-1−iii−i00000000000000
χ594-44-4-441-2002-2-121-122-2-22−3i3i3i−3i-11-20000-22−2i2i2i−2i0000-1-1110000001-1i−i−ii00000000000000
χ604-44-4-441-2002-2-121-1-2-22223i−3i−3i3i-11-200002-2−2i2i2i−2i000011-1-1000000-11i−i−ii00000000000000
χ614-44-4-441-2002-2-121-1-2-2222−3i3i3i−3i-11-200002-22i−2i−2i2i000011-1-1000000-11−iii−i00000000000000
χ624-4-44004400-4-444-4-4000000000000-44-440000000000000000000000000000000000000000
χ638888-8-8-420022-42-4-40000-2000044-200000000000000000000000000000000000000000000
χ6488-8-8002-400-44-24-224i−4i4i−4i0000000000000000000000−2i2i−2i2i00000000000000000000000000
χ6588-8-8002-400-44-24-22−4i4i−4i4i00000000000000000000002i−2i2i−2i00000000000000000000000000
χ6688-8-800-42002-24-24-400000000000000000000002i2−2i22i2−2i20000000000000000−i2i2−i2i20000000000
χ6788-8-800-42002-24-24-40000000000000000000000−2i22i2−2i22i20000000000000000i2−i2i2−i20000000000
χ688-88-8-88-4200-224-2-440000-200004-4200000000000000000000000000000000000000000000
χ698-8-88002-400442-4-2-24i−4i−4i4i0000000000000000000000−2i2i2i−2i00000000000000000000000000
χ708-8-88002-400442-4-2-2−4i4i4i−4i00000000000000000000002i−2i−2i2i00000000000000000000000000
χ718-8-8800-4200-2-2-4244000000000000000000000022−22−22220000000000000000−222−20000000000
χ728-8-8800-4200-2-2-42440000000000000000000000−222222−2200000000000000002−2−220000000000

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