Finite Group Databasebeta

← Group #11787556

Character table — Group #11787556

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444666688888888999912121212121212121212121212121616181824242424242424242424242436363636363648487272
order122244223366666644446666121212122222444444888812121212664422121212121212242424242288886644
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
χ5111111-1-1111111111111-1-1-1-11111111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ6111111-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111-1-111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1
χ91-11-1-111-111-1-111-1-1ii−i−i11-1-11-1-1111-1-1i−iii−i−i11-1-1ii−i−i1-11-11-1i−iii−i−i11-1-11-1ii−i−i1-1i−i
χ101-11-1-111-111-1-111-1-1ii−i−i11-1-11-1-1111-1-1i−iii−i−i-1-111ii−i−i1-11-1-11i−iii−i−i-1-1111-1−i−iii-11−ii
χ111-11-1-111-111-1-111-1-1−i−iii11-1-11-1-1111-1-1−ii−i−iii11-1-1−i−iii1-11-11-1−ii−i−iii11-1-11-1−i−iii1-1−ii
χ121-11-1-111-111-1-111-1-1−i−iii11-1-11-1-1111-1-1−ii−i−iii-1-111−i−iii1-11-1-11−ii−i−iii-1-1111-1ii−i−i-11i−i
χ131-11-1-11-1111-1-111-1-1ii−i−i-1-1111-1-1111-1-1i−i−i−iii11-1-1ii−i−i-111-1-11i−i−i−iii11-1-1-11ii−i−i-11−ii
χ141-11-1-11-1111-1-111-1-1ii−i−i-1-1111-1-1111-1-1i−i−i−iii-1-111ii−i−i-111-11-1i−i−i−iii-1-111-11−i−iii1-1i−i
χ151-11-1-11-1111-1-111-1-1−i−iii-1-1111-1-1111-1-1−iiii−i−i11-1-1−i−iii-111-1-11−iiii−i−i11-1-1-11−i−iii-11i−i
χ161-11-1-11-1111-1-111-1-1−i−iii-1-1111-1-1111-1-1−iiii−i−i-1-111−i−iii-111-11-1−iiii−i−i-1-111-11ii−i−i1-1−ii
χ172222222222222222000022222222-2-2-2-20000000000000022-2-2000000000000-2-200000000
χ18222222-2-2222222220000-2-2-2-22222-2-2-2-200000000000000-2-2-2-20000000000002200000000
χ192222-2-2002222222200000000-2-2-2-2-2-2-2-2002-22-200000000002200002-22-200000000000000
χ202222-2-2002222222200000000-2-2-2-2-2-2-2-200-22-220000000000220000-22-2200000000000000
χ212222-2-2002222222222220000-2-2-2-22222-2-200000000222200-2-200-2-2000000000000000000
χ222222-2-20022222222-2-2-2-20000-2-2-2-222222200000000-2-2-2-200-2-20022000000000000000000
χ2322-2-20000222-2-2-22-22i−2i2i−2i000000002-22-20000002−22−22i−2i2i−2i0000000000002−22−200i2−i2i2−i20000
χ2422-2-20000222-2-2-22-22i−2i2i−2i000000002-22-2000000−22−222i−2i2i−2i000000000000−22−2200−i2i2−i2i20000
χ2522-2-20000222-2-2-22-2−2i2i−2i2i000000002-22-20000002−22−2−2i2i−2i2i0000000000002−22−200−i2i2−i2i20000
χ2622-2-20000222-2-2-22-2−2i2i−2i2i000000002-22-2000000−22−22−2i2i−2i2i000000000000−22−2200i2−i2i2−i20000
χ272-22-22-20022-2-222-2-200000000-222-2-2-222002i−2i−2i2i00000000002-200002i−2i−2i2i00000000000000
χ282-22-22-20022-2-222-2-200000000-222-2-2-22200−2i2i2i−2i00000000002-20000−2i2i2i−2i00000000000000
χ292-22-22-20022-2-222-2-22i2i−2i−2i0000-222-222-2-2−2i2i000000002i2i−2i−2i00-2200−2i2i000000000000000000
χ302-22-22-20022-2-222-2-2−2i−2i2i2i0000-222-222-2-22i−2i00000000−2i−2i2i2i00-22002i−2i000000000000000000
χ312-22-2-222-222-2-222-2-2000022-2-22-2-22-2-222000000000000002-2-22000000000000-2200000000
χ322-22-2-22-2222-2-222-2-20000-2-2222-2-22-2-22200000000000000-22-220000000000002-200000000
χ332-2-22000022-22-2-2-222-2-22000000002-2-220000002−2−222-2-220000000000002−2−22002−2−220000
χ342-2-22000022-22-2-2-222-2-22000000002-2-22000000−222−22-2-22000000000000−222−200−222−20000
χ352-2-22000022-22-2-2-22-222-2000000002-2-220000002−2−22-222-20000000000002−2−2200−222−20000
χ362-2-22000022-22-2-2-22-222-2000000002-2-22000000−222−2-222-2000000000000−222−2002−2−220000
χ37444444441-2-2-21-2112222111111-2-200002222220000-1-1-1-1-2-20000-1-1-1-1-1-100000000000000
χ38444444441-2-2-21-211-2-2-2-2111111-2-20000-2-2-2-2-2-200001111-2-2000011111100000000000000
χ3944444444-2111-21-2-20000-2-2-2-2-2-211000000000022220000110022000000-1-1-1-1000000-1-100
χ4044444444-2111-21-2-20000-2-2-2-2-2-2110000000000-2-2-2-200001100-2-200000011110000001100
χ41444444-4-41-2-2-21-2112222-1-1-1-111-2-2000022-2-2-2-20000-1-1-1-1220000-1-1111100000000000000
χ42444444-4-41-2-2-21-211-2-2-2-2-1-1-1-111-2-20000-2-222220000111122000011-1-1-1-100000000000000
χ43444444-4-4-2111-21-2-200002222-2-211000000000022220000-1-100-2-2000000-1-1-1-10000001100
χ44444444-4-4-2111-21-2-200002222-2-2110000000000-2-2-2-20000-1-100220000001111000000-1-100
χ454444-4-4001-2-2-21-21122223-33-3-1-1220000-2-22-22-20000-1-1-1-100000011-11-1100000000000000
χ464444-4-4001-2-2-21-2112222-33-33-1-1220000-2-2-22-220000-1-1-1-1000000111-11-100000000000000
χ474444-4-4001-2-2-21-211-2-2-2-23-33-3-1-122000022-22-2200001111000000-1-11-11-100000000000000
χ484444-4-4001-2-2-21-211-2-2-2-2-33-33-1-1220000222-22-200001111000000-1-1-11-1100000000000000
χ4944-4-40000444-4-4-44-4000000000000-44-440000000000000000000000000000000000000000
χ504-44-44-4001-2221-2-1-12i2i−2i−2i3-3-33-11-220000−2i2i2i−2i−2i2i0000−i−iii000000i−i−iii−i00000000000000
χ514-44-44-4001-2221-2-1-12i2i−2i−2i-333-3-11-220000−2i2i−2i2i2i−2i0000−i−iii000000i−ii−i−ii00000000000000
χ524-44-44-4001-2221-2-1-1−2i−2i2i2i3-3-33-11-2200002i−2i−2i2i2i−2i0000ii−i−i000000−iii−i−ii00000000000000
χ534-44-44-4001-2221-2-1-1−2i−2i2i2i-333-3-11-2200002i−2i2i−2i−2i2i0000ii−i−i000000−ii−iii−i00000000000000
χ544-44-4-444-41-2221-2-1-12i2i−2i−2i11-1-11-12-200002i−2i2i2i−2i−2i0000−i−iii-220000−ii−i−iii00000000000000
χ554-44-4-444-41-2221-2-1-1−2i−2i2i2i11-1-11-12-20000−2i2i−2i−2i2i2i0000ii−i−i-220000i−iii−i−i00000000000000
χ564-44-4-444-4-21-1-1-21220000-2-222-22-11000000000022-2-200001-1002-2000000-1-111000000-1100
χ574-44-4-444-4-21-1-1-21220000-2-222-22-110000000000-2-22200001-100-2200000011-1-10000001-100
χ584-44-4-44-441-2221-2-1-12i2i−2i−2i-1-1111-12-200002i−2i−2i−2i2i2i0000−i−iii2-20000−iiii−i−i00000000000000
χ594-44-4-44-441-2221-2-1-1−2i−2i2i2i-1-1111-12-20000−2i2i2i2i−2i−2i0000ii−i−i2-20000i−i−i−iii00000000000000
χ604-44-4-44-44-21-1-1-2122000022-2-2-22-11000000000022-2-20000-1100-22000000-1-1110000001-100
χ614-44-4-44-44-21-1-1-2122000022-2-2-22-110000000000-2-2220000-11002-200000011-1-1000000-1100
χ624-4-44000044-44-4-4-44000000000000-444-40000000000000000000000000000000000000000
χ638888-8-800-4222-42-4-40000000044-2-200000000000000000000000000000000000000000000
χ6488-8-800002-4-44-242-24i−4i4i−4i0000000000000000000000−2i2i−2i2i00000000000000000000000000
χ6588-8-800002-4-44-242-2−4i4i−4i4i00000000000000000000002i−2i2i−2i00000000000000000000000000
χ6688-8-80000-422-24-2-44000000000000000000000022−2222−220000000000000000−22−220000000000
χ6788-8-80000-422-24-2-440000000000000000000000−2222−222200000000000000002−22−20000000000
χ688-88-88-800-42-2-2-4244000000004-42-200000000000000000000000000000000000000000000
χ698-8-8800002-44-4-24-224-4-440000000000000000000000-222-200000000000000000000000000
χ708-8-8800002-44-4-24-22-444-400000000000000000000002-2-2200000000000000000000000000
χ718-8-880000-42-224-24-4000000000000000000000022−22−22220000000000000000−222−20000000000
χ728-8-880000-42-224-24-40000000000000000000000−222222−2200000000000000002−2−220000000000

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