Finite Group Databasebeta

← Group #11787534

Character table — Group #11787534

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111224444444444448888888888888999916161616161616161818181818183636363636363636363636363636727272
order122244223366666688212121212242424242424242422226666666644444422444444888888244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-11-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1ii−i−i-1-1-1i−iii−i−i-1-1ii−i−i-1i−i
χ41111111111111111111111111111111-1-1-1-111111111-1−i−iii-1-1-1−ii−i−iii-1-1−i−iii-1−ii
χ51111111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-111
χ71111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1ii−i−i-1-1-1i−iii−i−i11−i−iii1−ii
χ81111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1−i−iii-1-1-1−ii−i−iii11ii−i−i1i−i
χ9111111-1-11111111111-11111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1
χ10111111-1-11111111111-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-111
χ11111111-1-11111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-111i−i−i−iii-1-1ii−i−i1−ii
χ12111111-1-11111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-111−iiii−i−i-1-1−i−iii1i−i
χ13111111-1-111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1111
χ14111111-1-111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-111111-1-1
χ15111111-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1ii−i−i-111i−i−i−iii11−i−iii-1i−i
χ16111111-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1−i−iii-111−iiii−i−i11ii−i−i-1−ii
χ172222-2-20022222222000-2-2-2-200000000222200000000-22222-200-2-20000000000000
χ182222-2-20022222222000-2-2-2-200000000222200000000-2-2-2-2-2-200220000000000000
χ192222-2-20022222222000-2-2-2-200000000-2-2-2-20000000022i2i−2i−2i200−2i2i0000000000000
χ202222-2-20022222222000-2-2-2-200000000-2-2-2-2000000002−2i−2i2i2i2002i−2i0000000000000
χ2122-2-200002222-2-2-2-22−2000002222−2−2−2−222-2-20000000002i−2i2i−2i0000000002−2i2−i2i2−i2000
χ2222-2-200002222-2-2-2-22−2000002222−2−2−2−222-2-2000000000−2i2i−2i2i0000000002−2−i2i2−i2i2000
χ2322-2-200002222-2-2-2-22−2000002222−2−2−2−2-2-2220000000002-2-22000000000−222−2−22000
χ2422-2-200002222-2-2-2-22−2000002222−2−2−2−2-2-222000000000-222-2000000000−22−222−2000
χ2522-2-200002222-2-2-2-2−2200000−2−2−2−2222222-2-20000000002i−2i2i−2i000000000−22−i2i2−i2i2000
χ2622-2-200002222-2-2-2-2−2200000−2−2−2−2222222-2-2000000000−2i2i−2i2i000000000−22i2−i2i2−i2000
χ2722-2-200002222-2-2-2-2−2200000−2−2−2−22222-2-2220000000002-2-220000000002−2−222−2000
χ2822-2-200002222-2-2-2-2−2200000−2−2−2−22222-2-222000000000-222-20000000002−22−2−22000
χ292-2-222-20022-2-2-2-22200022-2-2000000002-22-20000000020000-200002i−2i2i−2i000000000
χ302-2-222-20022-2-2-2-22200022-2-2000000002-22-20000000020000-20000−2i2i−2i2i000000000
χ312-2-222-20022-2-2-2-22200022-2-200000000-22-2200000000-20000200002-2-22000000000
χ322-2-222-20022-2-2-2-22200022-2-200000000-22-2200000000-2000020000-222-2000000000
χ332-2-22-222-222-2-2-2-222000-2-222000000002-22-222-2-20000-2000022-2000000000000000
χ342-2-22-222-222-2-2-2-222000-2-22200000000-22-2222-2-2000020000-2-22000000000000000
χ352-2-22-22-2222-2-2-2-222000-2-222000000002-22-2-2-2220000-200002-22000000000000000
χ362-2-22-22-2222-2-2-2-222000-2-22200000000-22-22-2-222000020000-22-2000000000000000
χ37444444441-21-21-21-24441-21-211-2-211-2-200001-21-211-2-200000000000000000000000
χ38444444441-21-21-21-2-4-4-41-21-2-1-122-1-12200001-21-2-1-12200000000000000000000000
χ3944444444-21-21-21-21444-21-21-2-211-2-2110000-21-21-2-21100000000000000000000000
χ4044444444-21-21-21-21-4-4-4-21-2122-1-122-1-10000-21-2122-1-100000000000000000000000
χ41444444-4-41-21-21-21-244-41-21-211-2-211-2-20000-12-12-1-12200000000000000000000000
χ42444444-4-41-21-21-21-2-4-441-21-2-1-122-1-1220000-12-1211-2-200000000000000000000000
χ43444444-4-4-21-21-21-2144-4-21-21-2-211-2-21100002-12-122-1-100000000000000000000000
χ44444444-4-4-21-21-21-21-4-44-21-2122-1-122-1-100002-12-1-2-21100000000000000000000000
χ454-44-4000044-4-444-4-40000000000000004-4-440000000000000000000000000000000
χ464-44-4000044-4-444-4-4000000000000000-444-40000000000000000000000000000000
χ474-4-44-444-41-2-12-121-2000-121-23-3003-30000001-2-123-30000000000000000000000000
χ484-4-44-444-41-2-12-121-2000-121-2-3300-330000001-2-12-330000000000000000000000000
χ494-4-44-444-4-212-12-1-210002-1-21003-3003-30000-212-1003-300000000000000000000000
χ504-4-44-444-4-212-12-1-210002-1-2100-3300-330000-212-100-3300000000000000000000000
χ514-4-44-44-441-2-12-121-2000-121-23-3003-3000000-121-2-330000000000000000000000000
χ524-4-44-44-441-2-12-121-2000-121-2-3300-33000000-121-23-30000000000000000000000000
χ534-4-44-44-44-212-12-1-210002-1-21003-3003-300002-1-2100-3300000000000000000000000
χ544-4-44-44-44-212-12-1-210002-1-2100-3300-3300002-1-21003-300000000000000000000000
χ558888-8-8002-42-42-42-4000-24-240000000000000000000000000000000000000000000
χ568888-8-800-42-42-42-420004-24-20000000000000000000000000000000000000000000
χ5788-8-800002-42-4-24-2442−420000022−22−22−2−2222200000000000000000000000000000000000
χ5888-8-800002-42-4-24-24−424200000−2−2222222−22−2200000000000000000000000000000000000
χ5988-8-80000-42-424-24-242−4200000−22−22222222−2−200000000000000000000000000000000000
χ6088-8-80000-42-424-24-2−4242000002222−2−2−22−222200000000000000000000000000000000000
χ618-88-800002-4-242-4-24000000032−3200−32320000000000000000000000000000000000000
χ628-88-800002-4-242-4-240000000−32320032−320000000000000000000000000000000000000
χ638-88-80000-424-2-424-200000000032−3200−323200000000000000000000000000000000000
χ648-88-80000-424-2-424-2000000000−32320032−3200000000000000000000000000000000000
χ658-8-888-8002-4-24-242-40002-4-240000000000000000000000000000000000000000000
χ668-8-888-800-424-24-2-42000-424-20000000000000000000000000000000000000000000

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