Finite Group Databasebeta

← Group #14518034

Character table — Group #14518034

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1236666688899181818181818242424242424242427275454727272727272162162162162162162
order132369993333333618181833999999666633333324661212
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1
χ311111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ411111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ511111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ611111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ722222222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000000
χ822222222-1-1-1−1+i3−1−i3−1+i3−1−i32222-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321−i321−i321+i321+i321+i32000000
χ922222222-1-1-1−1−i3−1+i3−1−i3−1+i32222-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321+i321+i321−i321−i321−i32000000
χ1022222-1-1-122222-1-12-1-1-122-1-1-1-1-1-122-1-12-1-12-1-1000000
χ1122222-1-1-1222−1+i3−1−i31−i321+i322-1-1-122-1-1-1-1-1-1−1+i3−1−i31−i321+i32−1+i31−i321−i32−1−i31+i321+i32000000
χ1222222-1-1-1222−1−i3−1+i31+i321−i322-1-1-122-1-1-1-1-1-1−1−i3−1+i31+i321−i32−1−i31+i321+i32−1+i31−i321−i32000000
χ1322222-1-1-1-1-1-122-1-12-1-1-1-1-1222-1-1-122-1-1-12-1-12-1000000
χ1422222-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-122222-1-1-1-12-1-12000000
χ1522222-1-1-1-1-1-1−1+i3−1−i31−i321+i322-1-1-1-1-1222-1-1-1−1+i3−1−i31−i321+i321−i32−1+i31−i321+i32−1−i31+i32000000
χ1622222-1-1-1-1-1-1−1+i3−1−i31−i321+i322-1-1-1-1-1-1-1-1222−1+i3−1−i31−i321+i321−i321−i32−1+i31+i321+i32−1−i3000000
χ1722222-1-1-1-1-1-1−1−i3−1+i31+i321−i322-1-1-1-1-1222-1-1-1−1−i3−1+i31+i321−i321+i32−1−i31+i321−i32−1+i31−i32000000
χ1822222-1-1-1-1-1-1−1−i3−1+i31+i321−i322-1-1-1-1-1-1-1-1222−1−i3−1+i31+i321−i321+i321+i32−1−i31−i321−i32−1+i3000000
χ1933-13-13330003333-1-1-1-100000000-1-1-1-10000001-111-1-1
χ2033-13-13330003333-1-1-1-100000000-1-1-1-1000000-11-1-111
χ2133-13-1333000−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1000000001−i321+i321−i321+i320000001-1−1+i32−1−i321−i321+i32
χ2233-13-1333000−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1000000001−i321+i321−i321+i32000000-111−i321+i32−1+i32−1−i32
χ2333-13-1333000−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1000000001+i321−i321+i321−i320000001-1−1−i32−1+i321+i321−i32
χ2433-13-1333000−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1000000001+i321−i321+i321−i32000000-111+i321−i32−1−i32−1+i32
χ25666-360006660000-3000-3-30000000000000000000000
χ26666-36000-3-3-30000-30006-30000000000000000000000
χ27666-36000-3-3-30000-3000-360000000000000000000000
χ2866-26-2-3-3-300066-3-3-211100000000-2-211000000000000
χ2966-26-2-3-3-3000−3+3i3−3−3i33−3i323+3i32-2111000000001−i31+i3−1+i32−1−i32000000000000
χ3066-26-2-3-3-3000−3−3i3−3+3i33+3i323−3i32-2111000000001+i31−i3−1−i32−1+i32000000000000
χ316-360-3ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ56-3-300000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ500ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ50000000000000000
χ326-360-3ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5-36-300000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ500ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ50000000000000000
χ336-360-3ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5-3-3600000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ500−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ50000000000000000
χ346-360-3ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ56-3-300000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ500ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ50000000000000000
χ356-360-3ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5-36-300000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ500−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ50000000000000000
χ366-360-3ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5-3-3600000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ500ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ50000000000000000
χ376-360-3−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ56-3-300000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ500−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ50000000000000000
χ386-360-3−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5-36-300000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ500ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ50000000000000000
χ396-360-3−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5-3-3600000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ500ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ50000000000000000
χ401818-6-9-600000000003000000000000000000000000000
χ4118-9-6033ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ500000000−ζ+ζ2−2ζ4−ζ5−ζ+ζ2+ζ4+2ζ52ζ−2ζ2+ζ4−ζ5000000000000000000000000
χ4218-9-6033ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ500000000−ζ+ζ2+ζ4+2ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4−ζ5000000000000000000000000
χ4318-9-603−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5000000002ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000000000000000000000000

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