Finite Group Databasebeta

← Group #11787774

Character table — Group #11787774

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122244444444444488888888888889916161616161616161818183636363636363636363636367272727272
order1224433444466666621212121212121212121212124466661212121222422448888888844444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1iiii−i−i−i−i-1ii−i−i
χ4111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1−i−i−i−iiiii-1−i−iii
χ5111111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-111111111-1-1-1-1-1
χ6111111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111iiii−i−i−i−i1−i−iii
χ8111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111−i−i−i−iiiii1ii−i−i
χ91111111-1-111111111-111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11-11-1
χ101111111-1-111111111-111111111111111-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-11-11
χ111111111-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1i−i−ii
χ121111111-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1−iii−i
χ131111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-111-1-111-1-11-11-11
χ141111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-111-1-11111-11-1
χ151111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111ii−i−i−i−iii-1−iii−i
χ161111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111−i−iiiii−i−i-1i−i−ii
χ17222-2-2222-200222222000000000-2-2-2-222000022-2-2-2-222-2000000000000000
χ18222-2-2222-200222222000000000-2-2-2-2-2-2000022-2-222-2-22000000000000000
χ19222-2-222-2200222222000000000-2-2-2-2220000-2-222-2-22-22000000000000000
χ20222-2-222-2200222222000000000-2-2-2-2-2-20000-2-22222-22-2000000000000000
χ2122-22-2220000-2-2-2-22200000000022-2-222000000002-2-20000002-2002-200000
χ2222-22-2220000-2-2-2-22200000000022-2-222000000002-2-2000000-2200-2200000
χ2322-22-2220000-2-2-2-22200000000022-2-2-2-200000000-2220000002i−2i00−2i2i00000
χ2422-22-2220000-2-2-2-22200000000022-2-2-2-200000000-222000000−2i2i002i−2i00000
χ2522-2-22220000-2-2-2-222000000000-2-2222200000000-22-200002-2002-20000000
χ2622-2-22220000-2-2-2-222000000000-2-2222200000000-22-20000-2200-220000000
χ2722-2-22220000-2-2-2-222000000000-2-222-2-2000000002-2200002i−2i00−2i2i0000000
χ2822-2-22220000-2-2-2-222000000000-2-222-2-2000000002-220000−2i2i002i−2i0000000
χ29444441-2444411-2-21-241111-2-2-2-21-21-20011-2-21-21-200000000000000000000
χ30444441-244-4-411-2-21-2-4-1-1-1-122221-21-200-1-1221-21-200000000000000000000
χ31444441-2-4-44411-2-21-2-41111-2-2-2-21-21-200-1-122-12-1200000000000000000000
χ32444441-2-4-4-4-411-2-21-24-1-1-1-122221-21-20011-2-2-12-1200000000000000000000
χ3344444-214444-2-211-214-2-2-2-21111-21-2100-2-211-21-2100000000000000000000
χ3444444-2144-4-4-2-211-21-42222-1-1-1-1-21-210022-1-1-21-2100000000000000000000
χ3544444-21-4-444-2-211-21-4-2-2-2-21111-21-210022-1-12-12-100000000000000000000
χ3644444-21-4-4-4-4-2-211-2142222-1-1-1-1-21-2100-2-2112-12-100000000000000000000
χ37444-4-41-24-40011-2-21-2033-3-30000-12-12003-3001-2-1200000000000000000000
χ38444-4-41-24-40011-2-21-20-3-3330000-12-1200-33001-2-1200000000000000000000
χ39444-4-41-2-440011-2-21-2033-3-30000-12-1200-3300-121-200000000000000000000
χ40444-4-41-2-440011-2-21-20-3-3330000-12-12003-300-121-200000000000000000000
χ41444-4-4-214-400-2-211-210000033-3-32-12-100003-3-212-100000000000000000000
χ42444-4-4-214-400-2-211-2100000-3-3332-12-10000-33-212-100000000000000000000
χ43444-4-4-21-4400-2-211-210000033-3-32-12-10000-332-1-2100000000000000000000
χ44444-4-4-21-4400-2-211-2100000-3-3332-12-100003-32-1-2100000000000000000000
χ454-400044002i−2i0000-4-402i−2i2i−2i2i−2i2i−2i00004i−4i00000000000002-20000000000000
χ464-400044002i−2i0000-4-402i−2i2i−2i2i−2i2i−2i0000−4i4i0000000000000-220000000000000
χ474-40004400−2i2i0000-4-40−2i2i−2i2i−2i2i−2i2i00004i−4i0000000000000-220000000000000
χ484-40004400−2i2i0000-4-40−2i2i−2i2i−2i2i−2i2i0000−4i4i00000000000002-20000000000000
χ4988-88-82-40000-2-2442-40000000002-4-24000000000000000000000000000000
χ5088-88-8-42000044-2-2-42000000000-424-2000000000000000000000000000000
χ5188-8-882-40000-2-2442-4000000000-242-4000000000000000000000000000000
χ5288-8-88-42000044-2-2-420000000004-2-42000000000000000000000000000000
χ538-80002-4004i−4i6-600-2404i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ548-80002-4004i−4i-6600-240−2i2i4i−4i−2i2i−2i2i0000000000000000000000000000000000
χ558-80002-400−4i4i6-600-240−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ568-80002-400−4i4i-6600-2402i−2i−4i4i2i−2i2i−2i0000000000000000000000000000000000
χ578-8000-42004i−4i006-64-20−2i2i−2i2i4i−4i−2i2i0000000000000000000000000000000000
χ588-8000-42004i−4i00-664-20−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000000000
χ598-8000-4200−4i4i006-64-202i−2i2i−2i−4i4i2i−2i0000000000000000000000000000000000
χ608-8000-4200−4i4i00-664-202i−2i2i−2i2i−2i−4i4i0000000000000000000000000000000000

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