Finite Group Databasebeta

← Group #11787772

Character table — Group #11787772

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122244444444444488888888888889916161616161616161818183636363636363636363636367272727272
order122442233446666662121212121212121212121212446666666622444448888888844444
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
χ5111111111-1-1111111-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-111111111-1-1-1-1-1
χ6111111111-1-1111111-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111-1-1111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111iiii−i−i−i−i1−i−iii
χ8111111111-1-1111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111−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
χ1311111-1-111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-111-1-11-11-11
χ1411111-1-111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-111-1-11111-11-1
χ1511111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111ii−i−i−i−iii-1−iii−i
χ1611111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111−i−iiiii−i−i-1i−i−ii
χ17222-2-22-222002222220-2-2-2-2000000002222-2-20000-2-222-2000000000000000
χ18222-2-22-222002222220-2-2-2-200000000-2-222-2-2000022-2-22000000000000000
χ19222-2-2-2222002222220-2-2-2-20000000022-2-2220000-2-22-22000000000000000
χ20222-2-2-2222002222220-2-2-2-200000000-2-2-2-222000022-22-2000000000000000
χ2122-22-200220022-2-2-2-2022-2-20000000022000000002-2-20000002-2002-200000
χ2222-22-200220022-2-2-2-2022-2-20000000022000000002-2-2000000-2200-2200000
χ2322-22-200220022-2-2-2-2022-2-200000000-2-200000000-2220000002i−2i00−2i2i00000
χ2422-22-200220022-2-2-2-2022-2-200000000-2-200000000-222000000−2i2i002i−2i00000
χ2522-2-2200220022-2-2-2-20-2-222000000002200000000-22-200002-2002-20000000
χ2622-2-2200220022-2-2-2-20-2-222000000002200000000-22-20000-2200-220000000
χ2722-2-2200220022-2-2-2-20-2-22200000000-2-2000000002-2200002i−2i00−2i2i0000000
χ2822-2-2200220022-2-2-2-20-2-22200000000-2-2000000002-220000−2i2i002i−2i0000000
χ2944444441-2441-211-2-241-21-21111-2-2-2-2001-21-211-2-200000000000000000000
χ3044444441-2-4-41-211-2-2-41-21-2-1-1-1-12222001-21-2-1-12200000000000000000000
χ314444444-2144-21-2-2114-21-21-2-2-2-2111100-21-21-2-21100000000000000000000
χ324444444-21-4-4-21-2-211-4-21-212222-1-1-1-100-21-2122-1-100000000000000000000
χ3344444-4-41-2441-211-2-2-41-21-21111-2-2-2-200-12-12-1-12200000000000000000000
χ3444444-4-41-2-4-41-211-2-241-21-2-1-1-1-1222200-12-1211-2-200000000000000000000
χ3544444-4-4-2144-21-2-211-4-21-21-2-2-2-21111002-12-122-1-100000000000000000000
χ3644444-4-4-21-4-4-21-2-2114-21-212222-1-1-1-1002-12-1-2-21100000000000000000000
χ37444-4-44-41-2001-211-2-20-12-1233-3-30000001-2-123-30000000000000000000000
χ38444-4-44-41-2001-211-2-20-12-12-3-3330000001-2-12-330000000000000000000000
χ39444-4-44-4-2100-21-2-21102-12-1000033-3-300-212-1003-300000000000000000000
χ40444-4-44-4-2100-21-2-21102-12-10000-3-33300-212-100-3300000000000000000000
χ41444-4-4-441-2001-211-2-20-12-1233-3-3000000-121-2-330000000000000000000000
χ42444-4-4-441-2001-211-2-20-12-12-3-333000000-121-23-30000000000000000000000
χ43444-4-4-44-2100-21-2-21102-12-1000033-3-3002-1-2100-3300000000000000000000
χ44444-4-4-44-2100-21-2-21102-12-10000-3-333002-1-21003-300000000000000000000
χ454-400000442-2-4-40000000002-22-22-22-24i−4i00000000000002i−2i0000000000000
χ464-400000442-2-4-40000000002-22-22-22-2−4i4i0000000000000−2i2i0000000000000
χ474-40000044-22-4-4000000000-22-22-22-224i−4i0000000000000−2i2i0000000000000
χ484-40000044-22-4-4000000000-22-22-22-22−4i4i00000000000002i−2i0000000000000
χ4988-88-8002-4002-4-2-24402-4-2400000000000000000000000000000000000000
χ5088-88-800-4200-4244-2-20-424-200000000000000000000000000000000000000
χ5188-8-88002-4002-4-2-2440-242-400000000000000000000000000000000000000
χ5288-8-8800-4200-4244-2-204-2-4200000000000000000000000000000000000000
χ538-8000002-44-4-246-600000004-4-22-22-22000000000000000000000000000000
χ548-8000002-44-4-24-660000000-224-4-22-22000000000000000000000000000000
χ558-8000002-4-44-246-60000000-442-22-22-2000000000000000000000000000000
χ568-8000002-4-44-24-6600000002-2-442-22-2000000000000000000000000000000
χ578-800000-424-44-2006-600000-22-224-4-22000000000000000000000000000000
χ588-800000-424-44-200-6600000-22-22-224-4000000000000000000000000000000
χ598-800000-42-444-2006-6000002-22-2-442-2000000000000000000000000000000
χ608-800000-42-444-200-66000002-22-22-2-44000000000000000000000000000000

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