Finite Group Databasebeta

← Group #14518026

Character table — Group #14518026

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1236666688899181818181818242424242424242427275454727272727272162162162162162162
order13233336999336666999999999966181833999924661212
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1
χ311111111111−1+i32−1−i321111−1+i32−1−i3211111111−1+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−i321111−1+i32−1−i3211111111−1+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+i321111−1−i32−1+i3211111111−1−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+i321111−1−i32−1+i3211111111−1−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−i32222−1+i3−1−i3-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321−i321+i321+i32000000
χ922222222-1-1-1−1−i3−1+i32222−1−i3−1+i3-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321+i321−i321−i32000000
χ102222-1-1-12222222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-12-1000000
χ112222-1-1-12222−1+i3−1−i32-1-1-11−i321+i3222-1-1-1-1-1-1−1+i3−1−i31−i321+i321−i321+i32−1+i31−i32−1−i31+i32000000
χ122222-1-1-12222−1−i3−1+i32-1-1-11+i321−i3222-1-1-1-1-1-1−1−i3−1+i31+i321−i321+i321−i32−1−i31+i32−1+i31−i32000000
χ132222-1-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-122-1-122-1-1-1-1000000
χ142222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-12-12000000
χ152222-1-1-12-1-1-1−1+i3−1−i32-1-1-11−i321+i32-1-1222-1-1-1−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321+i321+i32000000
χ162222-1-1-12-1-1-1−1+i3−1−i32-1-1-11−i321+i32-1-1-1-1-1222−1+i3−1−i31−i321+i321−i321+i321−i32−1+i31+i32−1−i3000000
χ172222-1-1-12-1-1-1−1−i3−1+i32-1-1-11+i321−i32-1-1222-1-1-1−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321−i321−i32000000
χ182222-1-1-12-1-1-1−1−i3−1+i32-1-1-11+i321−i32-1-1-1-1-1222−1−i3−1+i31+i321−i321+i321−i321+i32−1−i31−i32−1+i3000000
χ1933-13333-100033-1-1-1-13300000000-1-1-1-10000001-111-1-1
χ2033-13333-100033-1-1-1-13300000000-1-1-1-1000000-11-1-111
χ2133-13333-1000−3+3i32−3−3i32-1-1-1-1−3+3i32−3−3i32000000001−i321+i321−i321+i320000001-1−1+i32−1−i321−i321+i32
χ2233-13333-1000−3+3i32−3−3i32-1-1-1-1−3+3i32−3−3i32000000001−i321+i321−i321+i32000000-111−i321+i32−1+i32−1−i32
χ2333-13333-1000−3−3i32−3+3i32-1-1-1-1−3−3i32−3+3i32000000001+i321−i321+i321−i320000001-1−1−i32−1+i321+i321−i32
χ2433-13333-1000−3−3i32−3+3i32-1-1-1-1−3−3i32−3+3i32000000001+i321−i321+i321−i32000000-111+i321−i32−1−i32−1+i32
χ25666-3000666600-300000-3-30000000000000000000000
χ26666-30006-3-3-300-3000006-30000000000000000000000
χ27666-30006-3-3-300-300000-360000000000000000000000
χ2866-26-3-3-3-200066-2111-3-300000000-2-211000000000000
χ2966-26-3-3-3-2000−3+3i3−3−3i3-21113−3i323+3i32000000001−i31+i3−1+i32−1−i32000000000000
χ3066-26-3-3-3-2000−3−3i3−3+3i3-21113+3i323−3i32000000001+i31−i3−1−i32−1+i32000000000000
χ316-36003-3-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ500003-30000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ50000000000000000
χ326-36003-3-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ800003-30000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ50000000000000000
χ336-36003-3-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ700003-30000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ50000000000000000
χ346-3603-30-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ50003-300000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ50000000000000000
χ356-3603-30-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ80003-300000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ50000000000000000
χ366-3603-30-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ70003-300000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ50000000000000000
χ376-360-303-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000-3030000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ50000000000000000
χ386-360-303-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000-3030000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ50000000000000000
χ396-360-303-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000-3030000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ50000000000000000
χ401818-6-9000-600000300000000000000000000000000000
χ4118-9-6009-930000000-3300000000000000000000000000
χ4218-9-609-903000000-33000000000000000000000000000
χ4318-9-60-909300000030-300000000000000000000000000

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