Finite Group Databasebeta

← Group #11776998

Character table — Group #11776998

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111228888999916161818181818182424242436363636363636363636363636363636363648484848
order1244243612122244612244444888844888888888888888824242424
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ71111-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ81111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ911-1-11-111-1-111-1-11-11-1-1-111i−ii−i1-1ii−i−iii−i−i11-1-111-1-1i−ii−i
χ1011-1-11-111-1-111-1-11-11-1-1-111i−ii−i1-1−i−iii−i−iii-1-111-1-111i−ii−i
χ1111-1-11-111-1-111-1-11-11-1-1-111−ii−ii1-1ii−i−iii−i−i-1-111-1-111−ii−ii
χ1211-1-11-111-1-111-1-11-11-1-1-111−ii−ii1-1−i−iii−i−iii11-1-111-1-1−ii−ii
χ1311-1-1-1111-1-111-1-1-11-11-1-111i−i−ii-11ii−i−i−i−iii11-1-1-1-111i−i−ii
χ1411-1-1-1111-1-111-1-1-11-11-1-111i−i−ii-11−i−iiiii−i−i-1-11111-1-1i−i−ii
χ1511-1-1-1111-1-111-1-1-11-11-1-111−iii−i-11ii−i−i−i−iii-1-11111-1-1−iii−i
χ1611-1-1-1111-1-111-1-1-11-11-1-111−iii−i-11−i−iiiii−i−i11-1-1-1-111−iii−i
χ17222222222222222222-2-2-2-20000-2-200000000000000000000
χ182222222222-2-2-2-222-2-2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ192222222222-2-2-2-222-2-2000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ202222-2-222222222-2-2-2-2-2-2-2-200002200000000000000000000
χ212222-2-22222-2-2-2-2-2-222000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ222222-2-22222-2-2-2-2-2-222000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ2322-2-22-222-2-222-2-22-22-222-2-20000-2200000000000000000000
χ2422-2-22-222-2-2-2-2222-2-22000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ2522-2-22-222-2-2-2-2222-2-22000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ2622-2-2-2222-2-222-2-2-22-2222-2-200002-200000000000000000000
χ2722-2-2-2222-2-2-2-222-222-2000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ2822-2-2-2222-2-2-2-222-222-2000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ292-22i−2i002-22i−2i2-22i−2i00002i−2i2-200000000002ζ−2ζ2ζ3−2ζ3000000000000
χ302-22i−2i002-22i−2i2-22i−2i00002i−2i2-20000000000−2ζ2ζ−2ζ32ζ3000000000000
χ312-22i−2i002-22i−2i2-22i−2i0000−2i2i-220000002ζ−2ζ2ζ3−2ζ30000000000000000
χ322-22i−2i002-22i−2i2-22i−2i0000−2i2i-22000000−2ζ2ζ−2ζ32ζ30000000000000000
χ332-2−2i2i002-2−2i2i2-2−2i2i00002i−2i-220000002ζ3−2ζ32ζ−2ζ0000000000000000
χ342-2−2i2i002-2−2i2i2-2−2i2i00002i−2i-22000000−2ζ32ζ3−2ζ2ζ0000000000000000
χ352-2−2i2i002-2−2i2i2-2−2i2i0000−2i2i2-200000000002ζ3−2ζ32ζ−2ζ000000000000
χ362-2−2i2i002-2−2i2i2-2−2i2i0000−2i2i2-20000000000−2ζ32ζ3−2ζ2ζ000000000000
χ374-44i−4i004-44i−4i-44−4i4i0000000000000000000000000000000000
χ384-4−4i4i004-4−4i4i-444i−4i0000000000000000000000000000000000
χ39888888-1-1-1-10000-1-10000002222000000000000000000-1-1-1-1
χ40888888-1-1-1-10000-1-1000000-2-2-2-20000000000000000001111
χ418888-8-8-1-1-1-100001100000022-2-2000000000000000000-1-111
χ428888-8-8-1-1-1-1000011000000-2-22200000000000000000011-1-1
χ4388-8-88-8-1-1110000-110000002i−2i2i−2i000000000000000000−ii−ii
χ4488-8-88-8-1-1110000-11000000−2i2i−2i2i000000000000000000i−ii−i
χ4588-8-8-88-1-11100001-10000002i−2i−2i2i000000000000000000−iii−i
χ4688-8-8-88-1-11100001-1000000−2i2i2i−2i000000000000000000i−i−ii
χ4716-1616i−16i00-22−2i2i00000000000000000000000000000000000000
χ4816-16−16i16i00-222i−2i00000000000000000000000000000000000000

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