Finite Group Databasebeta

← Group #11796883

Character table — Group #11796883

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112444448888888161616161818181836363636727272112444448888888161616161818181836363636727272
order12433668212122424242466662488161616162882246666821212242424246666248816161616288
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11-1-111111111111111111111111-1-1-1-11-1-1
χ31111111111111111111-1-1-1-1ii−i−i-1i−i1111111111111111111-1-1-1-1ii−i−i-1i−i
χ41111111111111111111-1-1-1-1−i−iii-1−ii1111111111111111111-1-1-1-1−i−iii-1−ii
χ511111111-1111111-1-1-1-111111111-1-1-111111111-1111111-1-1-1-111111111-1-1-1
χ611111111-1111111-1-1-1-11111-1-1-1-1-11111111111-1111111-1-1-1-11111-1-1-1-1-111
χ711111111-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii11111111-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii
χ811111111-1111111-1-1-1-1-1-1-1-1−i−iii1i−i11111111-1111111-1-1-1-1-1-1-1-1−i−iii1i−i
χ92222222-2022-2-2-2-2000022-2-200000002222222-2022-2-2-2-2000022-2-20000000
χ102222222-2022-2-2-2-20000-2-22200000002222222-2022-2-2-2-20000-2-2220000000
χ1122-2222200-2-2000000002-200i2−i2i2−i200022-2222200-2-2000000002-200i2−i2i2−i2000
χ1222-2222200-2-2000000002-200−i2i2−i2i200022-2222200-2-2000000002-200−i2i2−i2i2000
χ1322-2222200-2-200000000-22002−2−2200022-2222200-2-200000000-22002−2−22000
χ1422-2222200-2-200000000-2200−222−200022-2222200-2-200000000-2200−222−2000
χ154441-21-2441-211-2-211-2-2000000000004441-21-2441-211-2-211-2-200000000000
χ164441-21-24-41-211-2-2-1-122000000000004441-21-24-41-211-2-2-1-12200000000000
χ174441-21-2-401-2-1-1223-300000000000004441-21-2-401-2-1-1223-30000000000000
χ184441-21-2-401-2-1-122-3300000000000004441-21-2-401-2-1-122-330000000000000
χ19444-21-2144-21-2-211-2-21100000000000444-21-2144-21-2-211-2-21100000000000
χ20444-21-214-4-21-2-21122-1-100000000000444-21-214-4-21-2-21122-1-100000000000
χ21444-21-21-40-2122-1-1003-300000000000444-21-21-40-2122-1-1003-300000000000
χ22444-21-21-40-2122-1-100-3300000000000444-21-21-40-2122-1-100-3300000000000
χ234-4044-4-40000000000000022−2200000004-4044-4-40000000000000022−220000000
χ244-4044-4-400000000000000−222200000004-4044-4-400000000000000−22220000000
χ2588-82-42-400-24000000000000000000088-82-42-400-240000000000000000000
χ2688-8-42-42004-2000000000000000000088-8-42-42004-20000000000000000000
χ278-802-4-24000032−32000000000000000008-802-4-24000032−3200000000000000000
χ288-802-4-240000−3232000000000000000008-802-4-240000−323200000000000000000
χ298-80-424-200000032−320000000000000008-80-424-200000032−32000000000000000
χ308-80-424-2000000−32320000000000000008-80-424-2000000−3232000000000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3211111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ331111111111111111111-1-1-1-1ii−i−i-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii1−ii
χ341111111111111111111-1-1-1-1−i−iii-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i1i−i
χ3511111111-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ3611111111-1111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111-1-1
χ3711111111-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111−i−iii-1i−i
χ3811111111-1111111-1-1-1-1-1-1-1-1−i−iii1i−i-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111ii−i−i-1−ii
χ392222222-2022-2-2-2-2000022-2-20000000-2-2-2-2-2-2-220-2-222220000-2-2220000000
χ402222222-2022-2-2-2-20000-2-2220000000-2-2-2-2-2-2-220-2-22222000022-2-20000000
χ4122-2222200-2-2000000002-200i2−i2i2−i2000-2-22-2-2-2-2002200000000-2200−i2i2−i2i2000
χ4222-2222200-2-2000000002-200−i2i2−i2i2000-2-22-2-2-2-2002200000000-2200i2−i2i2−i2000
χ4322-2222200-2-200000000-22002−2−22000-2-22-2-2-2-20022000000002-200−222−2000
χ4422-2222200-2-200000000-2200−222−2000-2-22-2-2-2-20022000000002-2002−2−22000
χ454441-21-2441-211-2-211-2-200000000000-4-4-4-12-12-4-4-12-1-122-1-12200000000000
χ464441-21-24-41-211-2-2-1-12200000000000-4-4-4-12-12-44-12-1-12211-2-200000000000
χ474441-21-2-401-2-1-1223-30000000000000-4-4-4-12-1240-1211-2-2-330000000000000
χ484441-21-2-401-2-1-122-330000000000000-4-4-4-12-1240-1211-2-23-30000000000000
χ49444-21-2144-21-2-211-2-21100000000000-4-4-42-12-1-4-42-122-1-122-1-100000000000
χ50444-21-214-4-21-2-21122-1-100000000000-4-4-42-12-1-442-122-1-1-2-21100000000000
χ51444-21-21-40-2122-1-1003-300000000000-4-4-42-12-1402-1-2-21100-3300000000000
χ52444-21-21-40-2122-1-100-3300000000000-4-4-42-12-1402-1-2-211003-300000000000
χ534-4044-4-40000000000000022−220000000-440-4-44400000000000000−22220000000
χ544-4044-4-400000000000000−22220000000-440-4-4440000000000000022−220000000
χ5588-82-42-400-240000000000000000000-8-88-24-24002-40000000000000000000
χ5688-8-42-42004-20000000000000000000-8-884-24-200-420000000000000000000
χ578-802-4-24000032−3200000000000000000-880-242-40000−323200000000000000000
χ588-802-4-240000−323200000000000000000-880-242-4000032−3200000000000000000
χ598-80-424-200000032−32000000000000000-8804-2-42000000−3232000000000000000
χ608-80-424-2000000−3232000000000000000-8804-2-4200000032−32000000000000000

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