Finite Group Databasebeta

← Group #14516473

Character table — Group #14516473

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size122223666699991818181818181818181818181818727272727272727272162162162162162162
order133332666633666699918181818181818181899999999924661212
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1
χ32222222222222222222222222222-1-1-1-1-1-1-1-1-1000000
χ42222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000
χ52222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000
χ62222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000
χ73333333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000011−1+i32−1−i32−1+i32−1−i32
χ83333333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000-1-11−i321+i321−i321+i32
χ93333333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000011−1−i32−1+i32−1−i32−1+i32
χ103333333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000-1-11+i321−i321+i321−i32
χ1133333-1-1-1-1-133-1-1-1-1333-1-1-1-1-1-1-1-1-10000000001-111-1-1
χ1233333-1-1-1-1-133-1-1-1-1333-1-1-1-1-1-1-1-1-1000000000-11-1-111
χ1333333-1-1-1-1-1−3+3i32−3−3i321−i321+i321−i321+i32000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000000001-1−1+i32−1−i321−i321+i32
χ1433333-1-1-1-1-1−3+3i32−3−3i321−i321+i321−i321+i32000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000-111−i321+i32−1+i32−1−i32
χ1533333-1-1-1-1-1−3−3i32−3+3i321+i321−i321+i321−i32000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000000001-1−1−i32−1+i321+i321−i32
χ1633333-1-1-1-1-1−3−3i32−3+3i321+i321−i321+i321−i32000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000-111+i321−i32−1−i32−1+i32
χ1766666-2-2-2-2-266-2-2-2-2-3-3-3111111111000000000000000
χ1866666-2-2-2-2-2−3+3i3−3−3i31−i31+i31−i31+i3000-2-2-21−i31−i31−i31+i31+i31+i3000000000000000
χ1966666-2-2-2-2-2−3−3i3−3+3i31+i31−i31+i31−i3000-2-2-21+i31+i31+i31−i31−i31−i3000000000000000
χ2066-3-3-366-3-3-3000000000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000000
χ2166-3-3-366-3-3-3000000000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000000
χ2266-3-3-366-3-3-3000000000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000000
χ236-36-3-36-36-3-30000000000000000002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5000000000000
χ246-36-3-36-36-3-3000000000000000000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5000000000000
χ256-36-3-36-36-3-3000000000000000000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000000000000
χ266-3-36-36-3-36-30000002ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5000000000000000
χ276-3-36-36-3-36-3000000−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5000000000000000
χ286-3-36-36-3-36-3000000−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000000000000000
χ296-3-36-3-211-210044-2-22ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5−2ζ+2ζ2+ζ4+3ζ5−ζ+ζ2−3ζ4−2ζ53ζ−3ζ2+2ζ4−ζ5−ζ4−ζ5−ζ2−ζ7−ζ−ζ8−ζ4−ζ5−ζ2−ζ7−ζ−ζ8000000000000000
χ306-3-36-3-211-210044-2-2−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2−3ζ4−2ζ53ζ−3ζ2+2ζ4−ζ5−2ζ+2ζ2+ζ4+3ζ5−ζ2−ζ7−ζ−ζ8−ζ4−ζ5−ζ2−ζ7−ζ−ζ8−ζ4−ζ5000000000000000
χ316-3-36-3-211-210044-2-2−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ53ζ−3ζ2+2ζ4−ζ5−2ζ+2ζ2+ζ4+3ζ5−ζ+ζ2−3ζ4−2ζ5−ζ−ζ8−ζ4−ζ5−ζ2−ζ7−ζ−ζ8−ζ4−ζ5−ζ2−ζ7000000000000000
χ326-3-36-3-211-2100−2+2i3−2−2i31−i31+i32ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5−ζ4−ζ5−ζ2−ζ7−ζ−ζ82ζ2−ζ4+3ζ5ζ2−2ζ5−ζ7−ζ−3ζ2−ζ5−2ζ+ζ4−ζ5−ζ−ζ2−3ζ43ζ+2ζ4−ζ8000000000000000
χ336-3-36-3-211-2100−2+2i3−2−2i31−i31+i3−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ2−ζ7−ζ−ζ8−ζ4−ζ5ζ2−2ζ5−ζ7−ζ−3ζ2−ζ52ζ2−ζ4+3ζ5−ζ−ζ2−3ζ43ζ+2ζ4−ζ8−2ζ+ζ4−ζ5000000000000000
χ346-3-36-3-211-2100−2+2i3−2−2i31−i31+i3−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ−ζ8−ζ4−ζ5−ζ2−ζ7−ζ−3ζ2−ζ52ζ2−ζ4+3ζ5ζ2−2ζ5−ζ73ζ+2ζ4−ζ8−2ζ+ζ4−ζ5−ζ−ζ2−3ζ4000000000000000
χ356-3-36-3-211-2100−2−2i3−2+2i31+i31−i32ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5−ζ4−ζ5−ζ2−ζ7−ζ−ζ8−2ζ+ζ4−ζ5−ζ−ζ2−3ζ43ζ+2ζ4−ζ82ζ2−ζ4+3ζ5ζ2−2ζ5−ζ7−ζ−3ζ2−ζ5000000000000000
χ366-3-36-3-211-2100−2−2i3−2+2i31+i31−i3−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ2−ζ7−ζ−ζ8−ζ4−ζ5−ζ−ζ2−3ζ43ζ+2ζ4−ζ8−2ζ+ζ4−ζ5ζ2−2ζ5−ζ7−ζ−3ζ2−ζ52ζ2−ζ4+3ζ5000000000000000
χ376-3-36-3-211-2100−2−2i3−2+2i31+i31−i3−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ−ζ8−ζ4−ζ5−ζ2−ζ73ζ+2ζ4−ζ8−2ζ+ζ4−ζ5−ζ−ζ2−3ζ4−ζ−3ζ2−ζ52ζ2−ζ4+3ζ5ζ2−2ζ5−ζ7000000000000000
χ386-3-3-366-3-3-3600000000000000000000000003-3000000
χ396-3-3-366-3-3-360000000000000000000000003-30000000
χ406-3-3-366-3-3-36000000000000000000000000-303000000
χ411818-9-9-9-6-6333000000000000000000000000000000000
χ4218-918-9-9-63-633000000000000000000000000000000000
χ4318-9-9-918-6333-6000000000000000000000000000000000

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