Finite Group Databasebeta

← Group #14518116

Character table — Group #14518116

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size12222333666666991818181818181818181818181818242424242424242424727272727272162162162162162162
order13333233336666663336666666666699999999933333324661212
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ42222222222222222-1-1-122-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1000000
χ52222222222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000
χ62222222222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000
χ72-1-1-12222-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-1000000
χ82-1-1-12222-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-12-1-12-1000000
χ92-1-1-12222-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-12-1-12000000
χ102-1-1-12222-1-1-1-1-1222-12-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-12-1-1-12000000
χ112-1-1-12222-1-1-1-1-1222-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-122-1-1000000
χ122-1-1-12222-1-1-1-1-1222-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-12-1000000
χ132-1-1-12222-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-12-1000000
χ142-1-1-12222-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1222-1-1-1222-1-1-12-1-1-1-12000000
χ152-1-1-12222-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-12-12-1-1000000
χ16333333−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3−3i32000−3+3i32−3−3i3200000000000000000000000011−1+i32−1−i32−1+i32−1−i32
χ17333333−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3−3i32000−3+3i32−3−3i32000000000000000000000000-1-11−i321+i321−i321+i32
χ18333333−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32000−3−3i32−3+3i3200000000000000000000000011−1−i32−1+i32−1−i32−1+i32
χ19333333−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32000−3−3i32−3+3i32000000000000000000000000-1-11+i321−i321+i321−i32
χ2033333-13333-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-10000000000000001-111-1-1
χ2133333-13333-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1000000000000000-11-1-111
χ2233333-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i320001−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000000000001-1−1+i32−1−i321−i321+i32
χ2333333-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i320001−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000-111−i321+i32−1+i32−1−i32
χ2433333-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i320001+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000000000001-1−1−i32−1+i321+i321−i32
χ2533333-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i320001+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000000-111+i321−i32−1−i32−1+i32
χ2666666-26666-2-2-2-2-2-2-3-3-3-2-2111111111000000000000000000000
χ2766666-2−3+3i3−3−3i3−3+3i3−3−3i3-2-2-2-21−i31+i30001−i31+i3-21−i31+i3-21−i31+i3-21−i31+i3000000000000000000000
χ2866666-2−3−3i3−3+3i3−3−3i3−3+3i3-2-2-2-21+i31−i30001+i31−i3-21+i31−i3-21+i31−i3-21+i31−i3000000000000000000000
χ2966-3-3-3600006-3-3-30000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000000000
χ3066-3-3-3600006-3-3-30000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000000000
χ3166-3-3-3600006-3-3-30000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000000000
χ326-36-3-360000-36-3-30000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000000000
χ336-36-3-360000-36-3-30000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000000000
χ346-36-3-360000-36-3-30000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000000000
χ356-3-36-360000-3-36-30000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000000000
χ366-3-36-360000-3-36-30000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000000000
χ376-3-36-360000-3-36-30000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000000000
χ386-3-3-366−3+3i3−3−3i33−3i323+3i32-3-3-36−3+3i3−3−3i30003−3i323+3i32000000000000000000000000000000
χ396-3-3-366−3−3i3−3+3i33+3i323−3i32-3-3-36−3−3i3−3+3i30003+3i323−3i32000000000000000000000000000000
χ406-3-3-36-266-3-3111-2-2-26-3-311-2-2-2111111000000000000000000000
χ416-3-3-36-266-3-3111-2-2-2-36-311111-2-2-2111000000000000000000000
χ426-3-3-36-266-3-3111-2-2-2-3-3611111111-2-2-2000000000000000000000
χ436-3-3-36-2−3+3i3−3−3i33−3i323+3i32111-21−i31+i3000−1+i32−1−i324−2+2i3−2−2i3-21−i31+i3-21−i31+i3000000000000000000000
χ446-3-3-36-2−3+3i3−3−3i33−3i323+3i32111-21−i31+i3000−1+i32−1−i32-21−i31+i34−2+2i3−2−2i3-21−i31+i3000000000000000000000
χ456-3-3-36-2−3+3i3−3−3i33−3i323+3i32111-21−i31+i3000−1+i32−1−i32-21−i31+i3-21−i31+i34−2+2i3−2−2i3000000000000000000000
χ466-3-3-36-2−3−3i3−3+3i33+3i323−3i32111-21+i31−i3000−1−i32−1+i324−2−2i3−2+2i3-21+i31−i3-21+i31−i3000000000000000000000
χ476-3-3-36-2−3−3i3−3+3i33+3i323−3i32111-21+i31−i3000−1−i32−1+i32-21+i31−i34−2−2i3−2+2i3-21+i31−i3000000000000000000000
χ486-3-3-36-2−3−3i3−3+3i33+3i323−3i32111-21+i31−i3000−1−i32−1+i32-21+i31−i3-21+i31−i34−2−2i3−2+2i3000000000000000000000
χ491818-9-9-9-60000-63330000000000000000000000000000000000000
χ5018-918-9-9-600003-6330000000000000000000000000000000000000
χ5118-9-918-9-6000033-630000000000000000000000000000000000000

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