Finite Group Databasebeta

← Group #11791083

Character table — Group #11791083

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order12224433666666881212121224242424242424242222444444444444448888881212121212121212
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
χ91-1-11-1111-1-11-1-111-1-1-1111111-1-1-1-111-1-11-1i−ii−i1-11-1ii−i−i1-1ii−i−ii−ii−i1-11-1
χ101-1-11-1111-1-11-1-111-1-1-1111111-1-1-1-111-1-11-1i−ii−i-11-11−i−iii1-1−i−iiii−ii−i-11-11
χ111-1-11-1111-1-11-1-111-1-1-1111111-1-1-1-111-1-11-1−ii−ii1-11-1−i−iii1-1−i−iii−ii−ii1-11-1
χ121-1-11-1111-1-11-1-111-1-1-1111111-1-1-1-111-1-11-1−ii−ii-11-11ii−i−i1-1ii−i−i−ii−ii-11-11
χ131-1-11-1111-1-11-1-11-11-1-111-1-1-1-1111111-1-11-1i−i−ii1-1-11ii−i−i-11−i−iiii−i−ii1-1-11
χ141-1-11-1111-1-11-1-11-11-1-111-1-1-1-1111111-1-11-1i−i−ii-111-1−i−iii-11ii−i−ii−i−ii-111-1
χ151-1-11-1111-1-11-1-11-11-1-111-1-1-1-1111111-1-11-1−iii−i1-1-11−i−iii-11ii−i−i−iii−i1-1-11
χ161-1-11-1111-1-11-1-11-11-1-111-1-1-1-1111111-1-11-1−iii−i-111-1ii−i−i-11−i−iii−iii−i-111-1
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
χ232-2-222-222-2-22-2-220022-2-20000000022-2-2-22000000002i−2i−2i2i00000000000000
χ242-2-222-222-2-22-2-220022-2-20000000022-2-2-2200000000−2i2i2i−2i00000000000000
χ252-2-222-222-2-22-2-220022-2-200000000-2-2222-2000000000000002i−2i−2i2i00000000
χ262-2-222-222-2-22-2-220022-2-200000000-2-2222-200000000000000−2i2i2i−2i00000000
χ272-2-22-2222-2-22-2-222-2-2-2222222-2-2-2-2-2-222-22000000000000-22000000000000
χ282-2-22-2222-2-22-2-22-22-2-222-2-2-2-22222-2-222-220000000000002-2000000000000
χ294444441-211-2-2-2144-21-2111-2-211-2-20000000000222200000000000000-1-1-1-1
χ304444441-211-2-2-2144-21-2111-2-211-2-20000000000-2-2-2-2000000000000001111
χ314444441-211-2-2-21-4-4-21-21-1-122-1-122000000000022-2-200000000000000-1-111
χ324444441-211-2-2-21-4-4-21-21-1-122-1-1220000000000-2-2220000000000000011-1-1
χ33444444-21-2-2111-2441-21-2-2-211-2-211000000222200000000000000-1-1-1-10000
χ34444444-21-2-2111-2441-21-2-2-211-2-211000000-2-2-2-20000000000000011110000
χ35444444-21-2-2111-2-4-41-21-222-1-122-1-100000022-2-200000000000000-1-1110000
χ36444444-21-2-2111-2-4-41-21-222-1-122-1-1000000-2-2220000000000000011-1-10000
χ3744-4-400444-4-44-4-4000000000000004-44-40000000000000000000000000000
χ3844-4-400444-4-44-4-400000000000000-44-440000000000000000000000000000
χ394-44-40044-44-4-44-4000000000000004-4-440000000000000000000000000000
χ404-44-40044-44-4-44-400000000000000-444-40000000000000000000000000000
χ414-4-44-441-2-1-1-22214-42-1-2111-2-2-1-12200000000002-22-200000000000000-11-11
χ424-4-44-441-2-1-1-22214-42-1-2111-2-2-1-1220000000000-22-22000000000000001-11-1
χ434-4-44-441-2-1-1-2221-442-1-21-1-12211-2-200000000002-2-2200000000000000-111-1
χ444-4-44-441-2-1-1-2221-442-1-21-1-12211-2-20000000000-222-2000000000000001-1-11
χ454-4-44-44-21221-1-1-24-4-121-2-2-21122-1-10000002i−2i2i−2i00000000000000−ii−ii0000
χ464-4-44-44-21221-1-1-24-4-121-2-2-21122-1-1000000−2i2i−2i2i00000000000000i−ii−i0000
χ474-4-44-44-21221-1-1-2-44-121-222-1-1-2-2110000002i−2i−2i2i00000000000000−iii−i0000
χ484-4-44-44-21221-1-1-2-44-121-222-1-1-2-211000000−2i2i2i−2i00000000000000i−i−ii0000
χ498888-8-82-422-4-4-42004-24-20000000000000000000000000000000000000000
χ508888-8-8-42-4-4222-400-24-240000000000000000000000000000000000000000
χ5188-8-8002-42-24-44-200000032−320032−320000000000000000000000000000000000
χ5288-8-8002-42-24-44-2000000−323200−32320000000000000000000000000000000000
χ5388-8-800-42-44-22-24000000003i2−3i2003i2−3i200000000000000000000000000000000
χ5488-8-800-42-44-22-2400000000−3i23i200−3i23i200000000000000000000000000000000
χ558-88-8002-4-2244-4-200000032−3200−32320000000000000000000000000000000000
χ568-88-8002-4-2244-4-2000000−32320032−320000000000000000000000000000000000
χ578-88-800-424-4-2-224000000003i2−3i200−3i23i200000000000000000000000000000000
χ588-88-800-424-4-2-22400000000−3i23i2003i2−3i200000000000000000000000000000000
χ598-8-888-82-4-2-2-444200-424-20000000000000000000000000000000000000000
χ608-8-888-8-42442-2-2-4002-4-240000000000000000000000000000000000000000

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