Finite Group Databasebeta

← Group #11787557

Character table — Group #11787557

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444666688888888999912121212121212121212121212121616181824242424242424242424242436363636363648487272
order12224433446666664444121212121212121222222222448888121212121212442266661212242424244488886644
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
χ511111111-1-11111111111111-1-1-1-111111-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ611111111-1-11111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-1-1-1111-1-1-1-1111111111-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ91-11-11-111i−i-111-1-1-1ii−i−i11-1ii−i−i-111-1-111-1-1i−iii−i−iii−i−ii−i-111-111-1-1i−iii−i−ii−i11-1-11-1i−i
χ101-11-11-111i−i-111-1-1-1ii−i−i11-1ii−i−i-111-1-111-1-1i−i−i−iiiii−i−ii−i-11-1111-1-1i−i−i−iiii−i-1-111-11−ii
χ111-11-11-111i−i-111-1-1-1−i−iii11-1ii−i−i-111-1-1-1-111−iiii−i−i−i−iiii−i-111-1-1-111−iiii−i−ii−i-1-1111-1−ii
χ121-11-11-111i−i-111-1-1-1−i−iii11-1ii−i−i-111-1-1-1-111−ii−i−iii−i−iiii−i-11-11-1-111−ii−i−iiii−i11-1-1-11i−i
χ131-11-11-111−ii-111-1-1-1ii−i−i11-1−i−iii-111-1-1-1-111i−iii−i−iii−i−i−ii-11-11-1-111i−iii−i−i−ii11-1-1-11−ii
χ141-11-11-111−ii-111-1-1-1ii−i−i11-1−i−iii-111-1-1-1-111i−i−i−iiiii−i−i−ii-111-1-1-111i−i−i−iii−ii-1-1111-1i−i
χ151-11-11-111−ii-111-1-1-1−i−iii11-1−i−iii-111-1-111-1-1−iiii−i−i−i−iii−ii-11-1111-1-1−iiii−i−i−ii-1-111-11i−i
χ161-11-11-111−ii-111-1-1-1−i−iii11-1−i−iii-111-1-111-1-1−ii−i−iii−i−iii−ii-111-111-1-1−ii−i−iii−ii11-1-11-1−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
χ192222-2-222002222220000-2-2-20000-2-2-2-2-22-22-200000000000022002-22-20000000000000000
χ202222-2-222002222220000-2-2-20000-2-2-2-2-2-22-220000000000002200-22-220000000000000000
χ212222-2-222002222222222-2-2-20000-222220000-2-20000222200-2-2000000-2-200000000000000
χ222222-2-22200222222-2-2-2-2-2-2-20000-222220000220000-2-2-2-200-2-20000002200000000000000
χ2322-2-20022002-2-2-22-22i−2i2i−2i000000002-22-2000000i2−i2i2−i22i−2i2i−2i000000000000i2−i2i2−i2002−22−20000
χ2422-2-20022002-2-2-22-22i−2i2i−2i000000002-22-2000000−i2i2−i2i22i−2i2i−2i000000000000−i2i2−i2i200−22−220000
χ2522-2-20022002-2-2-22-2−2i2i−2i2i000000002-22-2000000i2−i2i2−i2−2i2i−2i2i000000000000i2−i2i2−i200−22−220000
χ2622-2-20022002-2-2-22-2−2i2i−2i2i000000002-22-2000000−i2i2−i2i2−2i2i−2i2i000000000000−i2i2−i2i2002−22−20000
χ272-22-22-2222i−2i-222-2-2-2000022-22i2i−2i−2i-2-2-222000000000000002i−2i2-2000000000000−2i2i00000000
χ282-22-22-222−2i2i-222-2-2-2000022-2−2i−2i2i2i-2-2-22200000000000000−2i2i2-20000000000002i−2i00000000
χ292-22-2-222200-222-2-2-20000-2-2200002-2-2222-2-22000000000000-22002-2-220000000000000000
χ302-22-2-222200-222-2-2-20000-2-2200002-2-222-222-2000000000000-2200-222-20000000000000000
χ312-22-2-222200-222-2-2-22i2i−2i−2i-2-220000222-2-20000−2i2i00002i2i−2i−2i002-2000000−2i2i00000000000000
χ322-22-2-222200-222-2-2-2−2i−2i2i2i-2-220000222-2-200002i−2i0000−2i−2i2i2i002-20000002i−2i00000000000000
χ332-2-22002200-2-2-22-222-2-22000000002-2-220000002−2−222-2-220000000000002−2−22002−2−220000
χ342-2-22002200-2-2-22-222-2-22000000002-2-22000000−222−22-2-22000000000000−222−200−222−20000
χ352-2-22002200-2-2-22-22-222-2000000002-2-220000002−2−22-222-20000000000002−2−2200−222−20000
χ362-2-22002200-2-2-22-22-222-2000000002-2-22000000−222−2-222-2000000000000−222−2002−2−220000
χ374444441-24411-21-2-200001-2-2-2-2-2-21000000000022220000110022000000-1-1-1-1000000-1-100
χ384444441-24411-21-2-200001-2-2-2-2-2-210000000000-2-2-2-200001100-2-200000011110000001100
χ394444441-2-4-411-21-2-200001-2-222221000000000022220000-1-100-2-2000000-1-1-1-10000001100
χ404444441-2-4-411-21-2-200001-2-2222210000000000-2-2-2-20000-1-100220000001111000000-1-100
χ41444444-2144-2-21-2112222-2111111-200002222220000-1-1-1-1-2-20000-1-1-1-1-1-100000000000000
χ42444444-2144-2-21-211-2-2-2-2-2111111-20000-2-2-2-2-2-200001111-2-2000011111100000000000000
χ43444444-21-4-4-2-21-2112222-211-1-1-1-1-20000-2-2-2-2220000-1-1-1-12200001111-1-100000000000000
χ44444444-21-4-4-2-21-211-2-2-2-2-211-1-1-1-1-200002222-2-200001111220000-1-1-1-11100000000000000
χ454444-4-4-2100-2-21-21122222-1-13-33-3200002-22-2-2-20000-1-1-1-1000000-11-111100000000000000
χ464444-4-4-2100-2-21-21122222-1-1-33-3320000-22-22-2-20000-1-1-1-10000001-11-11100000000000000
χ474444-4-4-2100-2-21-211-2-2-2-22-1-13-33-320000-22-2222000011110000001-11-1-1-100000000000000
χ484444-4-4-2100-2-21-211-2-2-2-22-1-1-33-33200002-22-22200001111000000-11-11-1-100000000000000
χ4944-4-40044004-4-4-44-4000000000000-44-440000000000000000000000000000000000000000
χ504-44-44-41-24i−4i-11-2-12200001-22−2i−2i2i2i-100000000002i2i−2i−2i0000i−i002-2000000−i−iii000000-1100
χ514-44-44-41-24i−4i-11-2-12200001-22−2i−2i2i2i-10000000000−2i−2i2i2i0000i−i00-22000000ii−i−i0000001-100
χ524-44-44-41-2−4i4i-11-2-12200001-222i2i−2i−2i-100000000002i2i−2i−2i0000−ii00-22000000−i−iii0000001-100
χ534-44-44-41-2−4i4i-11-2-12200001-222i2i−2i−2i-10000000000−2i−2i2i2i0000−ii002-2000000ii−i−i000000-1100
χ544-44-44-4-214i−4i2-212-1-12i2i−2i−2i-21-1ii−i−i2000022-2-22i−2i0000−i−iii−2i2i0000-1-111−ii00000000000000
χ554-44-44-4-214i−4i2-212-1-1−2i−2i2i2i-21-1ii−i−i20000-2-222−2i2i0000ii−i−i−2i2i000011-1-1i−i00000000000000
χ564-44-44-4-21−4i4i2-212-1-12i2i−2i−2i-21-1−i−iii20000-2-2222i−2i0000−i−iii2i−2i000011-1-1−ii00000000000000
χ574-44-44-4-21−4i4i2-212-1-1−2i−2i2i2i-21-1−i−iii2000022-2-2−2i2i0000ii−i−i2i−2i0000-1-111i−i00000000000000
χ584-44-4-44-21002-212-1-12i2i−2i−2i2-113i−3i−3i3i-200002-2-22−2i2i0000−i−iii000000-111-1i−i00000000000000
χ594-44-4-44-21002-212-1-12i2i−2i−2i2-11−3i3i3i−3i-20000-222-2−2i2i0000−i−iii0000001-1-11i−i00000000000000
χ604-44-4-44-21002-212-1-1−2i−2i2i2i2-113i−3i−3i3i-20000-222-22i−2i0000ii−i−i0000001-1-11−ii00000000000000
χ614-44-4-44-21002-212-1-1−2i−2i2i2i2-11−3i3i3i−3i-200002-2-222i−2i0000ii−i−i000000-111-1−ii00000000000000
χ624-4-44004400-4-4-44-44000000000000-444-40000000000000000000000000000000000000000
χ638888-8-82-40022-42-4-40000-2440000-200000000000000000000000000000000000000000000
χ6488-8-8002-4002-24-2-4400000000000000000000002i2−2i22i2−2i20000000000000000−i2i2−i2i20000000000
χ6588-8-8002-4002-24-2-440000000000000000000000−2i22i2−2i22i20000000000000000i2−i2i2−i20000000000
χ6688-8-800-4200-44-242-24i−4i4i−4i0000000000000000000000−2i2i−2i2i00000000000000000000000000
χ6788-8-800-4200-44-242-2−4i4i−4i4i00000000000000000000002i−2i2i−2i00000000000000000000000000
χ688-88-8-882-400-22-4-2440000-24-40000200000000000000000000000000000000000000000000
χ698-8-88002-400-2-2424-4000000000000000000000022−22−22220000000000000000−222−20000000000
χ708-8-88002-400-2-2424-40000000000000000000000−222222−2200000000000000002−2−220000000000
χ718-8-8800-420044-2-4-224-4-440000000000000000000000-222-200000000000000000000000000
χ728-8-8800-420044-2-4-22-444-400000000000000000000002-2-2200000000000000000000000000

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