Finite Group Databasebeta

← Group #14518159

Character table — Group #14518159

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size123669912121818181818181824242727272727363636365454727272727272818181108108108108108108
order1323633336999181818332666633331818999999266666666
χ111111111111111111111111111111111111111111111
χ2111111111111111111-111-1-1111111111111-1-1-1-1-1-1-1-1-1
χ31111111−1+i32−1−i321111111−1+i32−1−i3211111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ41111111−1+i32−1−i321111111−1+i32−1−i32-111-1-1−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i32
χ51111111−1−i32−1+i321111111−1−i32−1+i3211111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ61111111−1−i32−1+i321111111−1−i32−1+i32-111-1-1−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i32
χ711111−1+i32−1−i321111−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ811111−1+i32−1−i321111−1+i32−1−i3211111-1−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i321−i321+i32
χ911111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32
χ1011111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32111−1+i32−1−i32-1−1+i32−1−i321−i321+i32−1−i3211−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-11−i321+i321−i321+i321+i32-1-11−i32
χ1111111−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32111−1−i32−1+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i321−1+i32−1−i321
χ1211111−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32111−1−i32−1+i32-1−1+i32−1−i321−i321+i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-11−i321+i321+i321−i32-11−i321+i32-1
χ1311111−1−i32−1+i321111−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ1411111−1−i32−1+i321111−1−i32−1+i3211111-1−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i321+i321−i32
χ1511111−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32111−1+i32−1−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i321−1−i32−1+i321
χ1611111−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32111−1+i32−1−i32-1−1−i32−1+i321+i321−i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-11+i321−i321−i321+i32-11+i321−i32-1
χ1711111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32
χ1811111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32111−1−i32−1+i32-1−1−i32−1+i321+i321−i32−1+i3211−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-11+i321−i321+i321−i321−i32-1-11+i32
χ192222222222-1-1-1-1-1-122022002222-1-1-1-1-1-1-1-1000000000
χ202222222−1+i3−1−i32-1-1-1-1-1-1−1+i3−1−i302200−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i32000000000
χ212222222−1−i3−1+i32-1-1-1-1-1-1−1−i3−1+i302200−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i32000000000
χ2222222−1+i3−1−i3222-11−i321+i32-1-1-1220−1+i3−1−i300−1+i3−1−i3−1+i3−1−i31−i321+i32-11−i321+i32-11−i321+i32000000000
χ2322222−1+i3−1−i3−1+i3−1−i32-11−i321+i32-1-1-1−1+i3−1−i30−1+i3−1−i300−1−i322−1+i31−i321+i321−i321+i32-11+i32-11−i32000000000
χ2422222−1+i3−1−i3−1−i3−1+i32-11−i321+i32-1-1-1−1−i3−1+i30−1+i3−1−i3002−1+i3−1−i321−i321+i321+i32-11−i321−i321+i32-1000000000
χ2522222−1−i3−1+i3222-11+i321−i32-1-1-1220−1−i3−1+i300−1−i3−1+i3−1−i3−1+i31+i321−i32-11+i321−i32-11+i321−i32000000000
χ2622222−1−i3−1+i3−1+i3−1−i32-11+i321−i32-1-1-1−1+i3−1−i30−1−i3−1+i3002−1−i3−1+i321+i321−i321−i32-11+i321+i321−i32-1000000000
χ2722222−1−i3−1+i3−1−i3−1+i32-11+i321−i32-1-1-1−1−i3−1+i30−1−i3−1+i300−1+i322−1−i31+i321−i321+i321−i32-11−i32-11+i32000000000
χ2833-13-13300-1333-1-1-1003-1-1330000-1-1000000-1-1-1000000
χ2933-13-13300-1333-1-1-100-3-1-1-3-30000-1-1000000111000000
χ3033-13-1−3+3i32−3−3i3200-13−3+3i32−3−3i32-1-1-10031−i321+i32−3+3i32−3−3i3200001−i321+i32000000-11−i321+i32000000
χ3133-13-1−3+3i32−3−3i3200-13−3+3i32−3−3i32-1-1-100-31−i321+i323−3i323+3i3200001−i321+i320000001−1+i32−1−i32000000
χ3233-13-1−3−3i32−3+3i3200-13−3−3i32−3+3i32-1-1-10031+i321−i32−3−3i32−3+3i3200001+i321−i32000000-11+i321−i32000000
χ3333-13-1−3−3i32−3+3i3200-13−3−3i32−3+3i32-1-1-100-31+i321−i323+3i323−3i3200001+i321−i320000001−1−i32−1+i32000000
χ34666-360066-3000000-3-300000000000000000000000000
χ35666-3600−3+3i3−3−3i3-30000003−3i323+3i3200000000000000000000000000
χ36666-3600−3−3i3−3+3i3-30000003+3i323−3i3200000000000000000000000000
χ3766-26-26600-2-3-3-3111000-2-200000011000000000000000
χ3866-26-2−3+3i3−3−3i300-2-33−3i323+3i321110001−i31+i3000000−1+i32−1−i32000000000000000
χ3966-26-2−3−3i3−3+3i300-2-33+3i323−3i321110001+i31−i3000000−1−i32−1+i32000000000000000
χ401818-6-9-6000030000000000000000000000000000000000
χ4118-9180-9000000000000000000000000000000000000000
χ4218-9-603000000004ζ−4ζ2+2ζ4−2ζ5−2ζ+2ζ2+2ζ4+4ζ5−2ζ+2ζ2−4ζ4−2ζ50000000000000000000000000000
χ4318-9-60300000000−2ζ+2ζ2+2ζ4+4ζ5−2ζ+2ζ2−4ζ4−2ζ54ζ−4ζ2+2ζ4−2ζ50000000000000000000000000000
χ4418-9-60300000000−2ζ+2ζ2−4ζ4−2ζ54ζ−4ζ2+2ζ4−2ζ5−2ζ+2ζ2+2ζ4+4ζ50000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.