Finite Group Databasebeta

← Group #11784744

Character table — Group #11784744

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444666688888888999912121212121212121212121212121616181824242424242424242424242436363636363648487272
order1222443344666666222212121212121212122222444444666688881212444412121212121224242424448888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1
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
χ511111111-1-11111111111111-1-1-1-11111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ611111111-1-11111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-1-1-1111-1-1-1-111111-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-1-1-1111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1
χ91-1-111-1111-1-1-1-11-1111-1-111-111-1-1-111-1-11-111-1-111-1-1ii−i−i1-11-1i−i1-111-1-1ii−i−i1-1ii−i−ii−ii−i
χ101-1-111-1111-1-1-1-11-1111-1-111-111-1-1-111-1-11-111-1-111-1-1−i−iii1-11-1−ii1-111-1-1−i−iii1-1−i−iii−ii−ii
χ111-1-111-1111-1-1-1-11-11-1-11111-111-1-1-111-1-1-11-1-111-1-111ii−i−i1-11-1i−i-11-1-111ii−i−i1-1−i−iiii−i−ii
χ121-1-111-1111-1-1-1-11-11-1-11111-111-1-1-111-1-1-11-1-111-1-111−i−iii1-11-1−ii-11-1-111−i−iii1-1ii−i−i−iii−i
χ131-1-111-111-11-1-1-11-1111-1-111-1-1-111-111-1-11-1-1-11111-1-1ii−i−i-111-1−ii1-1-1-111ii−i−i-11ii−i−i−ii−ii
χ141-1-111-111-11-1-1-11-1111-1-111-1-1-111-111-1-11-1-1-11111-1-1−i−iii-111-1i−i1-1-1-111−i−iii-11−i−iiii−ii−i
χ151-1-111-111-11-1-1-11-11-1-11111-1-1-111-111-1-1-1111-1-1-1-111ii−i−i-111-1−ii-1111-1-1ii−i−i-11−i−iii−iii−i
χ161-1-111-111-11-1-1-11-11-1-11111-1-1-111-111-1-1-1111-1-1-1-111−i−iii-111-1i−i-1111-1-1−i−iii-11ii−i−ii−i−ii
χ172222222222222222000022222222-2-2-2-20000000000000022-2-2000000000000-2-200000000
χ1822222222-2-22222220000222-2-2-2-22-2-2-2-200000000000000-2-2-2-20000000000002200000000
χ192222-2-222002222220000-2-2-20000-2-2-2-2-2002-22-200000000002200002-22-200000000000000
χ202222-2-222002222220000-2-2-20000-2-2-2-2-200-22-220000000000220000-22-2200000000000000
χ212222-2-222002222222222-2-2-20000-22222-2-200002222000000-2-200-2-2000000000000000000
χ222222-2-22200222222-2-2-2-2-2-2-20000-22222220000-2-2-2-2000000-2-20022000000000000000000
χ2322-2-200220022-2-2-2-22-22-2000000002-22-20000002-22-22−22−20000000000002−22−2002−22−20000
χ2422-2-200220022-2-2-2-22-22-2000000002-22-20000002-22-2−22−22000000000000−22−2200−22−220000
χ2522-2-200220022-2-2-2-2-22-22000000002-22-2000000-22-222−22−20000000000002−22−200−22−220000
χ2622-2-200220022-2-2-2-2-22-22000000002-22-2000000-22-22−22−22000000000000−22−22002−22−20000
χ272-22-2002200-2-22-22-22-2-22000000002-2-220000002-2-22i2−i2−i2i2000000000000i2−i2−i2i200i2−i2−i2i20000
χ282-22-2002200-2-22-22-22-2-22000000002-2-220000002-2-22−i2i2i2−i2000000000000−i2i2i2−i200−i2i2i2−i20000
χ292-22-2002200-2-22-22-2-222-2000000002-2-22000000-222-2i2−i2−i2i2000000000000i2−i2−i2i200−i2i2i2−i20000
χ302-22-2002200-2-22-22-2-222-2000000002-2-22000000-222-2−i2i2i2−i2000000000000−i2i2i2−i200i2−i2−i2i20000
χ312-2-222-2222-2-2-2-22-22000022-222-2-2-2-2-222000000000000002-2-22000000000000-2200000000
χ322-2-222-222-22-2-2-22-22000022-2-2-222-2-2-22200000000000000-22-220000000000002-200000000
χ332-2-22-222200-2-2-22-220000-2-2200002-2-222002-2-2200000000002-200002-2-2200000000000000
χ342-2-22-222200-2-2-22-220000-2-2200002-2-22200-222-200000000002-20000-222-200000000000000
χ352-2-22-222200-2-2-22-2222-2-2-2-220000222-2-2-22000022-2-2000000-2200-22000000000000000000
χ362-2-22-222200-2-2-22-22-2-222-2-220000222-2-22-20000-2-222000000-22002-2000000000000000000
χ374444441-2441-2-211-200001-2-2-2-2-2-21000000000000002222110022000000-1-1-1-1000000-1-100
χ384444441-2441-2-211-200001-2-2-2-2-2-2100000000000000-2-2-2-21100-2-200000011110000001100
χ394444441-2-4-41-2-211-200001-2-222221000000000000002222-1-100-2-2000000-1-1-1-10000001100
χ404444441-2-4-41-2-211-200001-2-22222100000000000000-2-2-2-2-1-100220000001111000000-1-100
χ41444444-2144-211-2-212222-2111111-20000222222-1-1-1-10000-2-20000-1-1-1-1-1-100000000000000
χ42444444-2144-211-2-21-2-2-2-2-2111111-20000-2-2-2-2-2-211110000-2-2000011111100000000000000
χ43444444-21-4-4-211-2-212222-211-1-1-1-1-2000022-2-2-2-2-1-1-1-10000220000-1-1111100000000000000
χ44444444-21-4-4-211-2-21-2-2-2-2-211-1-1-1-1-20000-2-222221111000022000011-1-1-1-100000000000000
χ454444-4-4-2100-211-2-2122222-1-13-33-320000-2-22-22-2-1-1-1-1000000000011-11-1100000000000000
χ464444-4-4-2100-211-2-2122222-1-1-33-3320000-2-2-22-22-1-1-1-10000000000111-11-100000000000000
χ474444-4-4-2100-211-2-21-2-2-2-22-1-13-33-32000022-22-2211110000000000-1-11-11-100000000000000
χ484444-4-4-2100-211-2-21-2-2-2-22-1-1-33-3320000222-22-211110000000000-1-1-11-1100000000000000
χ4944-4-400440044-4-4-4-4000000000000-44-440000000000000000000000000000000000000000
χ504-44-4004400-4-44-44-4000000000000-444-40000000000000000000000000000000000000000
χ514-4-444-41-24-4-1221-1-200001-22-2-222-1000000000000002i2i−2i−2i1-1002i−2i000000−i−iii000000−ii00
χ524-4-444-41-24-4-1221-1-200001-22-2-222-100000000000000−2i−2i2i2i1-100−2i2i000000ii−i−i000000i−i00
χ534-4-444-41-2-44-1221-1-200001-2222-2-2-1000000000000002i2i−2i−2i-1100−2i2i000000−i−iii000000i−i00
χ544-4-444-41-2-44-1221-1-200001-2222-2-2-100000000000000−2i−2i2i2i-11002i−2i000000ii−i−i000000−ii00
χ554-4-444-4-214-42-1-1-22122-2-2-21-111-1-1200002-222-2-2-1-1110000-220000-11-1-11100000000000000
χ564-4-444-4-214-42-1-1-221-2-222-21-111-1-120000-22-2-22211-1-10000-2200001-111-1-100000000000000
χ574-4-444-4-21-442-1-1-22122-2-2-21-1-1-111200002-2-2-222-1-11100002-20000-1111-1-100000000000000
χ584-4-444-4-21-442-1-1-221-2-222-21-1-1-11120000-2222-2-211-1-100002-200001-1-1-11100000000000000
χ594-4-44-44-21002-1-1-22122-2-22-113-3-33-20000-222-2-22-1-11100000000001-1-111-100000000000000
χ604-4-44-44-21002-1-1-22122-2-22-11-333-3-20000-22-222-2-1-11100000000001-11-1-1100000000000000
χ614-4-44-44-21002-1-1-221-2-2222-113-3-33-200002-2-222-211-1-10000000000-111-1-1100000000000000
χ624-4-44-44-21002-1-1-221-2-2222-11-333-3-200002-22-2-2211-1-10000000000-11-111-100000000000000
χ638888-8-82-4002-4-422-40000-2440000-200000000000000000000000000000000000000000000
χ6488-8-8002-4002-44-2-240000000000000000000000000022−2222−22000000000000−22−220000000000
χ6588-8-8002-4002-44-2-2400000000000000000000000000−2222−22220000000000002−22−20000000000
χ6688-8-800-4200-42-244-24-44-4000000000000000000-22-22000000000000000000000000000000
χ6788-8-800-4200-42-244-2-44-440000000000000000002-22-2000000000000000000000000000000
χ688-88-8002-400-24-4-224000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i20000000000
χ698-88-8002-400-24-4-22400000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i20000000000
χ708-88-800-42004-224-4-24-4-44000000000000000000-222-2000000000000000000000000000000
χ718-88-800-42004-224-4-2-444-40000000000000000002-2-22000000000000000000000000000000
χ728-8-88-882-400-2442-2-40000-24-40000200000000000000000000000000000000000000000000

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