Finite Group Databasebeta

← Group #11786663

Character table — Group #11786663

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11222448888991616161616161818183636363636363636363636363636727272727272
order12222243666446666121244424888888888888888888
χ1111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111111111-1-1-1-1111-1-11111-1-1-1-11111-1-111-1-1
χ611111-1-111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111
χ711111-1-111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-111
χ811111-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ9111-1-11-11111-1-1-1-111-1-111-11-1ii−i−iii−i−iii−i−ii−i1-11-1
χ10111-1-11-11111-1-1-1-111-1-111-11-1ii−i−iii−i−i−i−iii−ii-11-11
χ11111-1-11-11111-1-1-1-111-1-111-11-1−i−iii−i−iiiii−i−ii−i-11-11
χ12111-1-11-11111-1-1-1-111-1-111-11-1−i−iii−i−iii−i−iii−ii1-11-1
χ13111-1-1-111111-1-1-1-1-1-11111-1-11ii−i−i−i−iiiii−i−i−ii1-1-11
χ14111-1-1-111111-1-1-1-1-1-11111-1-11ii−i−i−i−iii−i−iiii−i-111-1
χ15111-1-1-111111-1-1-1-1-1-11111-1-11−i−iiiii−i−iii−i−i−ii-111-1
χ16111-1-1-111111-1-1-1-1-1-11111-1-11−i−iiiii−i−i−i−iiii−i1-1-11
χ1722222222222-2-2222222-2-2-2-2-2000000000000000000
χ1822222-2-22222-2-222-2-2-2-2-2-2-222000000000000000000
χ19222-2-22-2222222-2-222-2-2-2-22-22000000000000000000
χ20222-2-2-22222222-2-2-2-222-2-222-2000000000000000000
χ2122-22-2002-2-22222-200002-2-20000002-22-20000000000
χ2222-22-2002-2-22222-200002-2-2000000-22-220000000000
χ2322-22-2002-2-22-2-22-20000-222002i−2i2i−2i00000000000000
χ2422-22-2002-2-22-2-22-20000-22200−2i2i−2i2i00000000000000
χ2522-2-22002-2-2222-220000-22-2002-2-2200000000000000
χ2622-2-22002-2-2222-220000-22-200-222-200000000000000
χ2722-2-22002-2-22-2-2-2200002-220000002i−2i−2i2i0000000000
χ2822-2-22002-2-22-2-2-2200002-22000000−2i2i2i−2i0000000000
χ294-400000400-44i−4i00000000000000000002ζ−2ζ2ζ3−2ζ3000000
χ304-400000400-44i−4i0000000000000000000−2ζ2ζ−2ζ32ζ3000000
χ314-400000400-4−4i4i00000000000000000002ζ3−2ζ32ζ−2ζ000000
χ324-400000400-4−4i4i0000000000000000000−2ζ32ζ3−2ζ2ζ000000
χ338888888-1-1-1-100-1-1-1-1-1-100000000000000000000000
χ3488888-8-8-1-1-1-100-1-1111100000000000000000000000
χ35888-8-88-8-1-1-1-10011-1-11100000000000000000000000
χ36888-8-8-88-1-1-1-1001111-1-100000000000000000000000
χ3788-88-800-111-100-113-33-300000000000000000000000
χ3888-88-800-111-100-11-33-3300000000000000000000000
χ3988-8-8800-111-1001-13-3-3300000000000000000000000
χ4088-8-8800-111-1001-1-333-300000000000000000000000
χ4116-1600000-26-620000000000000000000000000000000
χ4216-1600000-2-6620000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.