Finite Group Databasebeta

← Group #11787773

Character table — Group #11787773

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122244444444444488888888888889916161616161616161818183636363636363636363636367272727272
order1224422334466666641212121212121212121212124466661212121222444448888888824444
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
χ5111111111-1-1111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-111111111-1-1-1-1-1
χ6111111111-1-1111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111iiii−i−i−i−i1−i−iii
χ8111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111−i−i−i−iiiii1ii−i−i
χ911111-1-11111111111-111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11-11-1
χ1011111-1-11111111111-111111111111111-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-11-11
χ1111111-1-11111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1i−i−ii
χ1211111-1-11111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1−iii−i
χ1311111-1-111-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-111-1-111-1-11-11-11
χ1411111-1-111-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-111-1-11111-11-1
χ1511111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111ii−i−i−i−iii-1−iii−i
χ1611111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111−i−iiiii−i−i-1i−i−ii
χ17222-2-22-22200222222000000000-2-2-2-22222-2-20000-2-222-2000000000000000
χ18222-2-22-22200222222000000000-2-2-2-2-2-222-2-2000022-2-22000000000000000
χ19222-2-2-222200222222000000000-2-2-2-222-2-2220000-2-22-22000000000000000
χ20222-2-2-222200222222000000000-2-2-2-2-2-2-2-222000022-22-2000000000000000
χ2122-22-2002200-2-2-2-22200000000022-2-222000000002-2-20000002-2002-200000
χ2222-22-2002200-2-2-2-22200000000022-2-222000000002-2-2000000-2200-2200000
χ2322-22-2002200-2-2-2-22200000000022-2-2-2-200000000-2220000002i−2i00−2i2i00000
χ2422-22-2002200-2-2-2-22200000000022-2-2-2-200000000-222000000−2i2i002i−2i00000
χ2522-2-22002200-2-2-2-222000000000-2-2222200000000-22-200002-2002-20000000
χ2622-2-22002200-2-2-2-222000000000-2-2222200000000-22-20000-2200-220000000
χ2722-2-22002200-2-2-2-222000000000-2-222-2-2000000002-2200002i−2i00−2i2i0000000
χ2822-2-22002200-2-2-2-222000000000-2-222-2-2000000002-220000−2i2i002i−2i0000000
χ2944444441-24411-2-21-241111-2-2-2-21-21-2001-21-211-2-200000000000000000000
χ3044444441-2-4-411-2-21-2-4-1-1-1-122221-21-2001-21-2-1-12200000000000000000000
χ314444444-2144-2-211-214-2-2-2-21111-21-2100-21-21-2-21100000000000000000000
χ324444444-21-4-4-2-211-21-42222-1-1-1-1-21-2100-21-2122-1-100000000000000000000
χ3344444-4-41-24411-2-21-2-41111-2-2-2-21-21-200-12-12-1-12200000000000000000000
χ3444444-4-41-2-4-411-2-21-24-1-1-1-122221-21-200-12-1211-2-200000000000000000000
χ3544444-4-4-2144-2-211-21-4-2-2-2-21111-21-21002-12-122-1-100000000000000000000
χ3644444-4-4-21-4-4-2-211-2142222-1-1-1-1-21-21002-12-1-2-21100000000000000000000
χ37444-4-44-41-20011-2-21-2033-3-30000-12-12001-2-123-30000000000000000000000
χ38444-4-44-41-20011-2-21-20-3-3330000-12-12001-2-12-330000000000000000000000
χ39444-4-44-4-2100-2-211-210000033-3-32-12-100-212-1003-300000000000000000000
χ40444-4-44-4-2100-2-211-2100000-3-3332-12-100-212-100-3300000000000000000000
χ41444-4-4-441-20011-2-21-2033-3-30000-12-1200-121-2-330000000000000000000000
χ42444-4-4-441-20011-2-21-20-3-3330000-12-1200-121-23-30000000000000000000000
χ43444-4-4-44-2100-2-211-210000033-3-32-12-1002-1-2100-3300000000000000000000
χ44444-4-4-44-2100-2-211-2100000-3-3332-12-1002-1-21003-300000000000000000000
χ454-400000442i−2i0000-4-402i−2i2i−2i2i−2i2i−2i00004i−4i00000000000002-20000000000000
χ464-400000442i−2i0000-4-402i−2i2i−2i2i−2i2i−2i0000−4i4i0000000000000-220000000000000
χ474-40000044−2i2i0000-4-40−2i2i−2i2i−2i2i−2i2i00004i−4i0000000000000-220000000000000
χ484-40000044−2i2i0000-4-40−2i2i−2i2i−2i2i−2i2i0000−4i4i00000000000002-20000000000000
χ4988-88-8002-400-2-2442-40000000002-4-24000000000000000000000000000000
χ5088-88-800-420044-2-2-42000000000-424-2000000000000000000000000000000
χ5188-8-88002-400-2-2442-4000000000-242-4000000000000000000000000000000
χ5288-8-8800-420044-2-2-420000000004-2-42000000000000000000000000000000
χ538-8000002-44i−4i6-600-2404i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ548-8000002-44i−4i-6600-240−2i2i4i−4i−2i2i−2i2i0000000000000000000000000000000000
χ558-8000002-4−4i4i6-600-240−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ568-8000002-4−4i4i-6600-2402i−2i−4i4i2i−2i2i−2i0000000000000000000000000000000000
χ578-800000-424i−4i006-64-20−2i2i−2i2i4i−4i−2i2i0000000000000000000000000000000000
χ588-800000-424i−4i00-664-20−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000000000
χ598-800000-42−4i4i006-64-202i−2i2i−2i−4i4i2i−2i0000000000000000000000000000000000
χ608-800000-42−4i4i00-664-202i−2i2i−2i2i−2i−4i4i0000000000000000000000000000000000

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