Finite Group Databasebeta

← Group #11791116

Character table — Group #11791116

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order1222443366666688121212122424242424242424222244222244444444888888666612121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ511111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ811111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ911-1-1-1111-1-111-1-11-1-1-1111111-1-1-1-111-1-11-11-11-1i−ii−iii−i−i1-1ii−i−i1-11-1i−ii−i
χ1011-1-1-1111-1-111-1-11-1-1-1111111-1-1-1-111-1-11-11-11-1−ii−ii−i−iii1-1−i−iii1-11-1−ii−ii
χ1111-1-1-1111-1-111-1-11-1-1-1111111-1-1-1-111-1-11-1-11-11i−ii−i−i−iii1-1−i−iii-11-11i−ii−i
χ1211-1-1-1111-1-111-1-11-1-1-1111111-1-1-1-111-1-11-1-11-11−ii−iiii−i−i1-1ii−i−i-11-11−ii−ii
χ1311-1-1-1111-1-111-1-1-11-1-111-1-1-1-1111111-1-11-11-1-11i−i−iiii−i−i-11−i−iii1-1-11i−i−ii
χ1411-1-1-1111-1-111-1-1-11-1-111-1-1-1-1111111-1-11-11-1-11−iii−i−i−iii-11ii−i−i1-1-11−iii−i
χ1511-1-1-1111-1-111-1-1-11-1-111-1-1-1-1111111-1-11-1-111-1i−i−ii−i−iii-11ii−i−i-111-1i−i−ii
χ1611-1-1-1111-1-111-1-1-11-1-111-1-1-1-1111111-1-11-1-111-1−iii−iii−i−i-11−i−iii-111-1−iii−i
χ172222222222222222222222222222-2-2-2-2-2-2000000000000-2-2000000000000
χ1822222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022000000000000
χ192222-2-22222222200-2-2-2-2000000002222-2-2000000002-22-200000000000000
χ202222-2-22222222200-2-2-2-2000000002222-2-200000000-22-2200000000000000
χ212222-2-22222222200-2-2-2-200000000-2-2-2-222000000000000002-22-200000000
χ222222-2-22222222200-2-2-2-200000000-2-2-2-22200000000000000-22-2200000000
χ2322-2-22-222-2-222-2-20022-2-20000000022-2-2-22000000002i−2i−2i2i00000000000000
χ2422-2-22-222-2-222-2-20022-2-20000000022-2-2-2200000000−2i2i2i−2i00000000000000
χ2522-2-22-222-2-222-2-20022-2-200000000-2-2222-2000000000000002i−2i−2i2i00000000
χ2622-2-22-222-2-222-2-20022-2-200000000-2-2222-200000000000000−2i2i2i−2i00000000
χ2722-2-2-2222-2-222-2-22-2-2-2222222-2-2-2-2-2-222-22000000000000-22000000000000
χ2822-2-2-2222-2-222-2-2-22-2-222-2-2-2-22222-2-222-220000000000002-2000000000000
χ294444441-2-2-21-211441-21-211-2-211-2-20000000000222200000000000000-1-1-1-1
χ304444441-2-2-21-211441-21-211-2-211-2-20000000000-2-2-2-2000000000000001111
χ314444441-2-2-21-211-4-41-21-2-1-122-1-122000000000022-2-200000000000000-1-111
χ324444441-2-2-21-211-4-41-21-2-1-122-1-1220000000000-2-2220000000000000011-1-1
χ33444444-2111-21-2-244-21-21-2-211-2-211000000222200000000000000-1-1-1-10000
χ34444444-2111-21-2-244-21-21-2-211-2-211000000-2-2-2-20000000000000011110000
χ35444444-2111-21-2-2-4-4-21-2122-1-122-1-100000022-2-200000000000000-1-1110000
χ36444444-2111-21-2-2-4-4-21-2122-1-122-1-1000000-2-2220000000000000011-1-10000
χ3744-4-4-441-2221-2-1-14-4-121-211-2-2-1-12200000000002i−2i2i−2i00000000000000−ii−ii
χ3844-4-4-441-2221-2-1-14-4-121-211-2-2-1-1220000000000−2i2i−2i2i00000000000000i−ii−i
χ3944-4-4-441-2221-2-1-1-44-121-2-1-12211-2-200000000002i−2i−2i2i00000000000000−iii−i
χ4044-4-4-441-2221-2-1-1-44-121-2-1-12211-2-20000000000−2i2i2i−2i00000000000000i−i−ii
χ4144-4-4-44-21-1-1-21224-42-1-21-2-21122-1-10000002-22-200000000000000-11-110000
χ4244-4-4-44-21-1-1-21224-42-1-21-2-21122-1-1000000-22-22000000000000001-11-10000
χ4344-4-4-44-21-1-1-2122-442-1-2122-1-1-2-2110000002-2-2200000000000000-111-10000
χ4444-4-4-44-21-1-1-2122-442-1-2122-1-1-2-211000000-222-2000000000000001-1-110000
χ454-44-400444-4-4-44-4000000000000004-44-40000000000000000000000000000
χ464-44-400444-4-4-44-400000000000000-44-440000000000000000000000000000
χ474-4-440044-44-4-4-44000000000000004-4-440000000000000000000000000000
χ484-4-440044-44-4-4-4400000000000000-444-40000000000000000000000000000
χ498888-8-82-4-4-42-42200-24-240000000000000000000000000000000000000000
χ508888-8-8-4222-42-4-4004-24-20000000000000000000000000000000000000000
χ5188-8-88-82-4442-4-2-2002-4-240000000000000000000000000000000000000000
χ5288-8-88-8-42-2-2-424400-424-20000000000000000000000000000000000000000
χ538-88-8002-4-44-242-20000003i2−3i2003i2−3i20000000000000000000000000000000000
χ548-88-8002-4-44-242-2000000−3i23i200−3i23i20000000000000000000000000000000000
χ558-88-800-422-24-2-440000000032−320032−3200000000000000000000000000000000
χ568-88-800-422-24-2-4400000000−323200−323200000000000000000000000000000000
χ578-8-88002-44-4-24-220000003i2−3i200−3i23i20000000000000000000000000000000000
χ588-8-88002-44-4-24-22000000−3i23i2003i2−3i20000000000000000000000000000000000
χ598-8-8800-42-224-24-40000000032−3200−323200000000000000000000000000000000
χ608-8-8800-42-224-24-400000000−32320032−3200000000000000000000000000000000

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