Finite Group Databasebeta

← Group #13091236

Character table — Group #13091236

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1112223366666999999999991818181818181818181818181818181827272727272727272727272754545454818181818181
order133333333399923333336699999999999999999933666666669999996618181818
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ31111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ411111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i3211−1−i32−1+i32
χ511111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+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−i32−1−i32−1−i32−1−i32−1+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i3211
χ611111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1−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−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1−i32−1+i32−1+i32−1−i32
χ711111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i3211−1+i32−1−i32
χ811111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1+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+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1+i32−1−i32−1−i32−1+i32
χ911111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−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+i32−1+i32−1+i32−1+i32−1−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211
χ101111111111111-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ111111111111111-1111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32
χ121111111111111-1111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32
χ131111111111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-11−i321−i321−i321+i321+i321+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321−i321+i32-1-11+i321−i32
χ141111111111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1−1+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−i32−1−i32−1−i32−1−i32−1+i32-1-11−i321−i321−i321+i321+i321+i321111−1−i32−1+i321+i321−i321−i321+i32-1-1
χ151111111111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1−1−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−i32−1−i32−1−i3211-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i3211-1-11+i321−i321−i321+i32
χ161111111111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-11+i321+i321+i321−i321−i321−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321+i321−i32-1-11−i321+i32
χ171111111111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1−1+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+i32−1+i32−1+i3211-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i3211-1-11−i321+i321+i321−i32
χ181111111111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1−1−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+i32−1+i32−1+i32−1+i32−1−i32-1-11+i321+i321+i321−i321−i321−i321111−1+i32−1−i321−i321+i321+i321−i32-1-1
χ192222222222-1-1-10222222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000022-1-1-1-1000000
χ202222222222-1-1-1022222200−1+i3−1−i3−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-1−1+i3−1−i300000000−1+i3−1−i31−i321+i321−i321+i32000000
χ212222222222-1-1-1022222200−1−i3−1+i3−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-1−1−i3−1+i300000000−1−i3−1+i31+i321−i321+i321−i32000000
χ222222222222-1-1-10−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3002222-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i300000000−1−i3−1+i31+i321−i321−i321+i32000000
χ232222222222-1-1-10−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300−1+i3−1−i3−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32−1−i3−1+i30000000022-1-11+i321−i32000000
χ242222222222-1-1-10−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300−1−i3−1+i3−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-11−i321−i321−i321+i321+i321+i322200000000−1+i3−1−i31−i321+i32-1-1000000
χ252222222222-1-1-10−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3002222-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i300000000−1+i3−1−i31−i321+i321+i321−i32000000
χ262222222222-1-1-10−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300−1+i3−1−i3−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-11+i321+i321+i321−i321−i321−i322200000000−1−i3−1+i31+i321−i32-1-1000000
χ272222222222-1-1-10−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300−1−i3−1+i3−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32−1+i3−1−i30000000022-1-11−i321+i32000000
χ28333333−3+3i32−3−3i32−3+3i32−3−3i323333000000330000000000−3+3i32−3−3i3200000000−3+3i32−3−3i32000000000000000000
χ29333333−3+3i32−3−3i32−3+3i32−3−3i32333-3000000-3-30000000000−3+3i32−3−3i32000000003−3i323+3i32000000000000000000
χ30333333−3−3i32−3+3i32−3−3i32−3+3i323333000000330000000000−3−3i32−3+3i3200000000−3−3i32−3+3i32000000000000000000
χ31333333−3−3i32−3+3i32−3−3i32−3+3i32333-3000000-3-30000000000−3−3i32−3+3i32000000003+3i323−3i32000000000000000000
χ323−3+3i32−3−3i32−3+3i32−3−3i32300003−3+3i32−3−3i323i33−i32−3−i323+i32−3+i32−i3−3+3i32−3−3i32000000000000i33−i32−3−i323+i32−3+i32−i30000i33−i32−3−i323+i32−3+i32−i3000000000000
χ333−3+3i32−3−3i32−3+3i32−3−3i32300003−3+3i32−3−3i3233−i32−3−i32i3−3+i32−i33+i32−3+3i32−3−3i320000000000003−i32−3−i32i3−3+i32−i33+i3200003−i32−3−i32i3−3+i32−i33+i32000000000000
χ343−3+3i32−3−3i32−3+3i32−3−3i32300003−3+3i32−3−3i323−3−i32i33−i32−i33+i32−3+i32−3+3i32−3−3i32000000000000−3−i32i33−i32−i33+i32−3+i320000−3−i32i33−i32−i33+i32−3+i32000000000000
χ353−3+3i32−3−3i32−3+3i32−3−3i32300003−3+3i32−3−3i32-3i33−i32−3−i323+i32−3+i32−i33−3i323+3i32000000000000i33−i32−3−i323+i32−3+i32−i30000−i3−3+i323+i32−3−i323−i32i3000000000000
χ363−3+3i32−3−3i32−3+3i32−3−3i32300003−3+3i32−3−3i32-33−i32−3−i32i3−3+i32−i33+i323−3i323+3i320000000000003−i32−3−i32i3−3+i32−i33+i320000−3+i323+i32−i33−i32i3−3−i32000000000000
χ373−3+3i32−3−3i32−3+3i32−3−3i32300003−3+3i32−3−3i32-3−3−i32i33−i32−i33+i32−3+i323−3i323+3i32000000000000−3−i32i33−i32−i33+i32−3+i3200003+i32−i3−3+i32i3−3−i323−i32000000000000
χ383−3−3i32−3+3i32−3−3i32−3+3i32300003−3−3i32−3+3i3233+i32−3+i32−i3−3−i32i33−i32−3−3i32−3+3i320000000000003+i32−3+i32−i3−3−i32i33−i3200003+i32−3+i32−i3−3−i32i33−i32000000000000
χ393−3−3i32−3+3i32−3−3i32−3+3i32300003−3−3i32−3+3i323−3+i32−i33+i32i33−i32−3−i32−3−3i32−3+3i32000000000000−3+i32−i33+i32i33−i32−3−i320000−3+i32−i33+i32i33−i32−3−i32000000000000
χ403−3−3i32−3+3i32−3−3i32−3+3i32300003−3−3i32−3+3i323−i33+i32−3+i323−i32−3−i32i3−3−3i32−3+3i32000000000000−i33+i32−3+i323−i32−3−i32i30000−i33+i32−3+i323−i32−3−i32i3000000000000
χ413−3−3i32−3+3i32−3−3i32−3+3i32300003−3−3i32−3+3i32-33+i32−3+i32−i3−3−i32i33−i323+3i323−3i320000000000003+i32−3+i32−i3−3−i32i33−i320000−3−i323−i32i33+i32−i3−3+i32000000000000
χ423−3−3i32−3+3i32−3−3i32−3+3i32300003−3−3i32−3+3i32-3−3+i32−i33+i32i33−i32−3−i323+3i323−3i32000000000000−3+i32−i33+i32i33−i32−3−i3200003−i32i3−3−i32−i3−3+i323+i32000000000000
χ433−3−3i32−3+3i32−3−3i32−3+3i32300003−3−3i32−3+3i32-3−i33+i32−3+i323−i32−3−i32i33+3i323−3i32000000000000−i33+i32−3+i323−i32−3−i32i30000i3−3−i323−i32−3+i323+i32−i3000000000000
χ44666666−3+3i3−3−3i3−3+3i3−3−3i3-3-3-300000000000000000003−3i323+3i320000000000000000000000000000
χ45666666−3−3i3−3+3i3−3−3i3−3+3i3-3-3-300000000000000000003+3i323−3i320000000000000000000000000000
χ46666-3-3-366-3-300000000000066-3-3000000000000000000000000000000000000
χ47666-3-3-366-3-3000000000000−3+3i3−3−3i33−3i323+3i32000000000000000000000000000000000000
χ48666-3-3-366-3-3000000000000−3−3i3−3+3i33+3i323−3i32000000000000000000000000000000000000
χ49666-3-3-3−3+3i3−3−3i33−3i323+3i3200000000000000003ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000000000000000
χ50666-3-3-3−3+3i3−3−3i33−3i323+3i3200000000000000003ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000000000000000
χ51666-3-3-3−3+3i3−3−3i33−3i323+3i3200000000000000003ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000000000000000
χ52666-3-3-3−3−3i3−3+3i33+3i323−3i3200000000000000003ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000000000000000
χ53666-3-3-3−3−3i3−3+3i33+3i323−3i3200000000000000003ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000000000000000
χ54666-3-3-3−3−3i3−3+3i33+3i323−3i3200000000000000003ζ83ζ53ζ23ζ73ζ43ζ000000000000000000000000000000
χ556−3+3i3−3−3i3−3+3i3−3−3i360000-33−3i323+3i3202i33−i3−3−i33+i3−3+i3−2i300000000000000−i3−3+i323+i32−3−i323−i32i30000000000000000000000
χ566−3+3i3−3−3i3−3+3i3−3−3i360000-33−3i323+3i3203−i3−3−i32i3−3+i3−2i33+i300000000000000−3+i323+i32−i33−i32i3−3−i320000000000000000000000
χ576−3+3i3−3−3i3−3+3i3−3−3i360000-33−3i323+3i320−3−i32i33−i3−2i33+i3−3+i3000000000000003+i32−i3−3+i32i3−3−i323−i320000000000000000000000
χ586−3−3i3−3+3i3−3−3i3−3+3i360000-33+3i323−3i3203+i3−3+i3−2i3−3−i32i33−i300000000000000−3−i323−i32i33+i32−i3−3+i320000000000000000000000
χ596−3−3i3−3+3i3−3−3i3−3+3i360000-33+3i323−3i320−3+i3−2i33+i32i33−i3−3−i3000000000000003−i32i3−3−i32−i3−3+i323+i320000000000000000000000
χ606−3−3i3−3+3i3−3−3i3−3+3i360000-33+3i323−3i320−2i33+i3−3+i33−i3−3−i32i300000000000000i3−3−i323−i32−3+i323+i32−i30000000000000000000000
χ6118−9+9i3−9−9i39−9i329+9i32-900000000000000000000000000000000000000000000000000000000
χ6218−9−9i3−9+9i39+9i329−9i32-900000000000000000000000000000000000000000000000000000000

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