Finite Group Databasebeta

← Group #11787604

Character table — Group #11787604

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
χ511111111-1-11111111111111-1-1-1-11111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ611111111-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-1-1-1111-1-1-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-1-1-1111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1
χ91-1-11-11111-1-1-11-11-1ii−i−i1-1-111-1-1111-1-1i−iii−i−i11-1-1ii−i−i1-11-11-1i−iii−i−i11-1-11-1ii−i−i1-1i−i
χ101-1-11-11111-1-1-11-11-1ii−i−i1-1-111-1-1111-1-1i−iii−i−i-1-111ii−i−i1-11-1-11i−iii−i−i-1-1111-1−i−iii-11−ii
χ111-1-11-11111-1-1-11-11-1−i−iii1-1-111-1-1111-1-1−ii−i−iii11-1-1−i−iii1-11-11-1−ii−i−iii11-1-11-1−i−iii1-1−ii
χ121-1-11-11111-1-1-11-11-1−i−iii1-1-111-1-1111-1-1−ii−i−iii-1-111−i−iii1-11-1-11−ii−i−iii-1-1111-1ii−i−i-11i−i
χ131-1-11-1111-11-1-11-11-1ii−i−i1-1-1-1-111111-1-1i−i−i−iii11-1-1ii−i−i-111-1-11i−i−i−iii11-1-1-11ii−i−i-11−ii
χ141-1-11-1111-11-1-11-11-1ii−i−i1-1-1-1-111111-1-1i−i−i−iii-1-111ii−i−i-111-11-1i−i−i−iii-1-111-11−i−iii1-1i−i
χ151-1-11-1111-11-1-11-11-1−i−iii1-1-1-1-111111-1-1−iiii−i−i11-1-1−i−iii-111-1-11−iiii−i−i11-1-1-11−i−iii-11i−i
χ161-1-11-1111-11-1-11-11-1−i−iii1-1-1-1-111111-1-1−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
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
χ212222-2-222002222222222-2-2-20000-22222-2-200000000222200-2-200-2-2000000000000000000
χ222222-2-22200222222-2-2-2-2-2-2-20000-222222200000000-2-2-2-200-2-20022000000000000000000
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
χ272-22-2002200-22-2-2-222i−2i−2i2i000000002-22-2000000i2−i2−i2i22i−2i−2i2i000000000000i2−i2−i2i200−222−20000
χ282-22-2002200-22-2-2-222i−2i−2i2i000000002-22-2000000−i2i2i2−i22i−2i−2i2i000000000000−i2i2i2−i2002−2−220000
χ292-22-2002200-22-2-2-22−2i2i2i−2i000000002-22-2000000i2−i2−i2i2−2i2i2i−2i000000000000i2−i2−i2i2002−2−220000
χ302-22-2002200-22-2-2-22−2i2i2i−2i000000002-22-2000000−i2i2i2−i2−2i2i2i−2i000000000000−i2i2i2−i200−222−20000
χ312-2-222-22200-2-22-22-20000-2220000-2-2-222002i−2i−2i2i00000000002-200002i−2i−2i2i00000000000000
χ322-2-222-22200-2-22-22-20000-2220000-2-2-22200−2i2i2i−2i00000000002-20000−2i2i2i−2i00000000000000
χ332-2-222-22200-2-22-22-22i2i−2i−2i-2220000-222-2-2−2i2i000000002i2i−2i−2i00-2200−2i2i000000000000000000
χ342-2-222-22200-2-22-22-2−2i−2i2i2i-2220000-222-2-22i−2i00000000−2i−2i2i2i00-22002i−2i000000000000000000
χ352-2-22-22222-2-2-22-22-200002-2-222-2-22-2-222000000000000002-2-22000000000000-2200000000
χ362-2-22-2222-22-2-22-22-200002-2-2-2-2222-2-22200000000000000-22-220000000000002-200000000
χ374444441-244-2-211-21222211-21111-200002222220000-1-1-1-1-2-20000-1-1-1-1-1-100000000000000
χ384444441-244-2-211-21-2-2-2-211-21111-20000-2-2-2-2-2-200001111-2-2000011111100000000000000
χ394444441-2-4-4-2-211-21222211-2-1-1-1-1-2000022-2-2-2-20000-1-1-1-1220000-1-1111100000000000000
χ404444441-2-4-4-2-211-21-2-2-2-211-2-1-1-1-1-20000-2-222220000111122000011-1-1-1-100000000000000
χ41444444-214411-2-21-20000-2-21-2-2-2-21000000000022220000110022000000-1-1-1-1000000-1-100
χ42444444-214411-2-21-20000-2-21-2-2-2-210000000000-2-2-2-200001100-2-200000011110000001100
χ43444444-21-4-411-2-21-20000-2-2122221000000000022220000-1-100-2-2000000-1-1-1-10000001100
χ44444444-21-4-411-2-21-20000-2-21222210000000000-2-2-2-20000-1-100220000001111000000-1-100
χ454444-4-41-200-2-211-212222-1-123-33-320000-2-22-22-20000-1-1-1-100000011-11-1100000000000000
χ464444-4-41-200-2-211-212222-1-12-33-3320000-2-2-22-220000-1-1-1-1000000111-11-100000000000000
χ474444-4-41-200-2-211-21-2-2-2-2-1-123-33-32000022-22-2200001111000000-1-11-11-100000000000000
χ484444-4-41-200-2-211-21-2-2-2-2-1-12-33-3320000222-22-200001111000000-1-1-11-1100000000000000
χ4944-4-40044004-4-44-4-4000000000000-444-40000000000000000000000000000000000000000
χ504-44-4004400-44-4-4-44000000000000-44-440000000000000000000000000000000000000000
χ514-4-444-41-200221-1-2-12i2i−2i−2i-11-23-3-3320000−2i2i2i−2i−2i2i0000−i−iii000000i−i−iii−i00000000000000
χ524-4-444-41-200221-1-2-12i2i−2i−2i-11-2-333-320000−2i2i−2i2i2i−2i0000−i−iii000000i−ii−i−ii00000000000000
χ534-4-444-41-200221-1-2-1−2i−2i2i2i-11-23-3-33200002i−2i−2i2i2i−2i0000ii−i−i000000−iii−i−ii00000000000000
χ544-4-444-41-200221-1-2-1−2i−2i2i2i-11-2-333-3200002i−2i2i−2i−2i2i0000ii−i−i000000−ii−iii−i00000000000000
χ554-4-44-441-24-4221-1-2-12i2i−2i−2i1-1211-1-1-200002i−2i2i2i−2i−2i0000−i−iii-220000−ii−i−iii00000000000000
χ564-4-44-441-24-4221-1-2-1−2i−2i2i2i1-1211-1-1-20000−2i2i−2i−2i2i2i0000ii−i−i-220000i−iii−i−i00000000000000
χ574-4-44-441-2-44221-1-2-12i2i−2i−2i1-12-1-111-200002i−2i−2i−2i2i2i0000−i−iii2-20000−iiii−i−i00000000000000
χ584-4-44-441-2-44221-1-2-1−2i−2i2i2i1-12-1-111-20000−2i2i2i2i−2i−2i0000ii−i−i2-20000i−i−i−iii00000000000000
χ594-4-44-44-214-4-1-1-22120000-22-1-2-2221000000000022-2-200001-1002-2000000-1-111000000-1100
χ604-4-44-44-214-4-1-1-22120000-22-1-2-22210000000000-2-22200001-100-2200000011-1-10000001-100
χ614-4-44-44-21-44-1-1-22120000-22-122-2-21000000000022-2-20000-1100-22000000-1-1110000001-100
χ624-4-44-44-21-44-1-1-22120000-22-122-2-210000000000-2-2220000-11002-200000011-1-1000000-1100
χ638888-8-8-420022-4-42-4000044-20000-200000000000000000000000000000000000000000000
χ6488-8-8002-400-44-224-24-44-40000000000000000000000-22-2200000000000000000000000000
χ6588-8-8002-400-44-224-2-44-4400000000000000000000002-22-200000000000000000000000000
χ6688-8-800-42002-24-4-2400000000000000000000002i2−2i22i2−2i20000000000000000−i2i2−i2i20000000000
χ6788-8-800-42002-24-4-240000000000000000000000−2i22i2−2i22i20000000000000000i2−i2i2−i20000000000
χ688-88-8002-4004-4-2-2424i−4i−4i4i0000000000000000000000−2i2i2i−2i00000000000000000000000000
χ698-88-8002-4004-4-2-242−4i4i4i−4i00000000000000000000002i−2i−2i2i00000000000000000000000000
χ708-88-800-4200-2244-2-400000000000000000000002i2−2i2−2i22i20000000000000000−i2i2i2−i20000000000
χ718-88-800-4200-2244-2-40000000000000000000000−2i22i22i2−2i20000000000000000i2−i2−i2i20000000000
χ728-8-888-8-4200-2-2-442400004-420000-200000000000000000000000000000000000000000000

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