Finite Group Databasebeta

← Group #13091237

Character table — Group #13091237

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1112223366666999999999991818181818181818181818181818181827272727272727272727272754545454818181818181
order13333333339992669999999999999999999999996699991818181818189999181818181818
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+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+i3211111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−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−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ51111111111111111−1+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+i32−1−i32−1−i32−1−i3211−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32
χ61111111111111111−1+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−i32−1+i32−1+i32−1+i32111−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1−i32−1+i321−1+i32−1−i321
χ71111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+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+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ81111111111111111−1−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+i32−1−i32−1−i32−1−i32111−1−i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1+i32−1−i321−1−i32−1+i321
χ91111111111111111−1−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−i32−1+i32−1+i32−1+i3211−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32
χ101111111111111-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ111111111111111-1-1-1111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32
χ121111111111111-1-1-1111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32
χ131111111111111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i32
χ141111111111111-1-1-1−1+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+i32−1−i32−1−i32−1−i32-1-1−1−i3211−1+i321−i321−i321−i321+i321+i321+i32−1−i3211−1+i321−i321+i321+i32-1-11−i32
χ151111111111111-1-1-1−1+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−i32−1+i32−1+i32−1+i32-1-11−1+i32−1−i3211−i321−i321−i321+i321+i321+i321−1+i32−1−i3211+i321−i32-11−i321+i32-1
χ161111111111111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i32
χ171111111111111-1-1-1−1−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+i32−1−i32−1−i32−1−i32-1-11−1−i32−1+i3211+i321+i321+i321−i321−i321−i321−1−i32−1+i3211−i321+i32-11+i321−i32-1
χ181111111111111-1-1-1−1−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−i32−1+i32−1+i32−1+i32-1-1−1+i3211−1−i321+i321+i321+i321−i321−i321−i32−1+i3211−1−i321+i321−i321−i32-1-11+i32
χ192222222222-1-1-10002222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-1000000
χ202222222222-1-1-1000222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i3200−1+i3−1+i3−1−i3−1−i30000001−i321−i321+i321+i32000000
χ212222222222-1-1-1000222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i3200−1−i3−1−i3−1+i3−1+i30000001+i321+i321−i321−i32000000
χ222222222222-1-1-1000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32222-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i30000001−i321+i321−i321+i32000000
χ232222222222-1-1-1000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i3200−1−i322−1+i30000001+i32-1-11−i32000000
χ242222222222-1-1-1000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1−i3−1+i3-1-11−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i32002−1+i3−1−i32000000-11−i321+i32-1000000
χ252222222222-1-1-1000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32222-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i30000001+i321−i321+i321−i32000000
χ262222222222-1-1-1000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1+i3−1−i3-1-11+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i32002−1−i3−1+i32000000-11+i321−i32-1000000
χ272222222222-1-1-1000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i3200−1+i322−1−i30000001−i32-1-11+i32000000
χ28333333−3+3i32−3−3i32−3+3i32−3−3i323333330000000000−3+3i32−3−3i32000000000000−3+3i32−3−3i3200000000000000000000
χ29333333−3+3i32−3−3i32−3+3i32−3−3i32333-3-3-30000000000−3+3i32−3−3i320000000000003−3i323+3i3200000000000000000000
χ30333333−3−3i32−3+3i32−3−3i32−3+3i323333330000000000−3−3i32−3+3i32000000000000−3−3i32−3+3i3200000000000000000000
χ31333333−3−3i32−3+3i32−3−3i32−3+3i32333-3-3-30000000000−3−3i32−3+3i320000000000003+3i323−3i3200000000000000000000
χ323−3+3i32−3−3i323−3+3i32−3−3i3200003−3+3i32−3−3i323−3+3i32−3−3i32ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ50000000000
χ333−3+3i32−3−3i323−3+3i32−3−3i3200003−3+3i32−3−3i323−3+3i32−3−3i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ50000000000
χ343−3+3i32−3−3i323−3+3i32−3−3i3200003−3+3i32−3−3i323−3+3i32−3−3i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ50000000000
χ353−3+3i32−3−3i323−3+3i32−3−3i3200003−3+3i32−3−3i32-33−3i323+3i32ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000−ζ−2ζ4−ζ+ζ42ζ+ζ4−2ζ2−ζ5ζ2−ζ5ζ2+2ζ50000000000
χ363−3+3i32−3−3i323−3+3i32−3−3i3200003−3+3i32−3−3i32-33−3i323+3i32ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000−ζ+ζ42ζ+ζ4−ζ−2ζ4ζ2−ζ5ζ2+2ζ5−2ζ2−ζ50000000000
χ373−3+3i32−3−3i323−3+3i32−3−3i3200003−3+3i32−3−3i32-33−3i323+3i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ50000000000002ζ+ζ4−ζ−2ζ4−ζ+ζ4ζ2+2ζ5−2ζ2−ζ5ζ2−ζ50000000000
χ383−3−3i32−3+3i323−3−3i32−3+3i3200003−3−3i32−3+3i323−3−3i32−3+3i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000000000002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000000000
χ393−3−3i32−3+3i323−3−3i32−3+3i3200003−3−3i32−3+3i323−3−3i32−3+3i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ40000000000
χ403−3−3i32−3+3i323−3−3i32−3+3i3200003−3−3i32−3+3i323−3−3i32−3+3i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ40000000000
χ413−3−3i32−3+3i323−3−3i32−3+3i3200003−3−3i32−3+3i32-33+3i323−3i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000−2ζ2−ζ5ζ2−ζ5ζ2+2ζ5−ζ+ζ42ζ+ζ4−ζ−2ζ40000000000
χ423−3−3i32−3+3i323−3−3i32−3+3i3200003−3−3i32−3+3i32-33+3i323−3i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000ζ2−ζ5ζ2+2ζ5−2ζ2−ζ52ζ+ζ4−ζ−2ζ4−ζ+ζ40000000000
χ433−3−3i32−3+3i323−3−3i32−3+3i3200003−3−3i32−3+3i32-33+3i323−3i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000ζ2+2ζ5−2ζ2−ζ5ζ2−ζ5−ζ−2ζ4−ζ+ζ42ζ+ζ40000000000
χ44666666−3+3i3−3−3i3−3+3i3−3−3i3-3-3-300000000000003−3i323+3i320000000000000000000000000000000000
χ45666666−3−3i3−3+3i3−3−3i3−3+3i3-3-3-300000000000003+3i323−3i320000000000000000000000000000000000
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+3i320000000000000000000000003ζ3ζ43ζ73ζ23ζ53ζ80000000000000000000000
χ50666-3-3-3−3+3i3−3−3i33−3i323+3i320000000000000000000000003ζ43ζ73ζ3ζ83ζ23ζ50000000000000000000000
χ51666-3-3-3−3+3i3−3−3i33−3i323+3i320000000000000000000000003ζ73ζ3ζ43ζ53ζ83ζ20000000000000000000000
χ52666-3-3-3−3−3i3−3+3i33+3i323−3i320000000000000000000000003ζ23ζ83ζ53ζ43ζ3ζ70000000000000000000000
χ53666-3-3-3−3−3i3−3+3i33+3i323−3i320000000000000000000000003ζ53ζ23ζ83ζ3ζ73ζ40000000000000000000000
χ54666-3-3-3−3−3i3−3+3i33+3i323−3i320000000000000000000000003ζ83ζ53ζ23ζ73ζ43ζ0000000000000000000000
χ556−3+3i3−3−3i36−3+3i3−3−3i30000-33−3i323+3i320002ζ+4ζ42ζ−2ζ4−4ζ−2ζ44ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ5000000−ζ−2ζ4−ζ+ζ42ζ+ζ4−2ζ2−ζ5ζ2−ζ5ζ2+2ζ50000000000000000000000000000
χ566−3+3i3−3−3i36−3+3i3−3−3i30000-33−3i323+3i320002ζ−2ζ4−4ζ−2ζ42ζ+4ζ4−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5000000−ζ+ζ42ζ+ζ4−ζ−2ζ4ζ2−ζ5ζ2+2ζ5−2ζ2−ζ50000000000000000000000000000
χ576−3+3i3−3−3i36−3+3i3−3−3i30000-33−3i323+3i32000−4ζ−2ζ42ζ+4ζ42ζ−2ζ4−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ50000002ζ+ζ4−ζ−2ζ4−ζ+ζ4ζ2+2ζ5−2ζ2−ζ5ζ2−ζ50000000000000000000000000000
χ586−3−3i3−3+3i36−3−3i3−3+3i30000-33+3i323−3i320004ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ52ζ−2ζ4−4ζ−2ζ42ζ+4ζ4000000−2ζ2−ζ5ζ2−ζ5ζ2+2ζ5−ζ+ζ42ζ+ζ4−ζ−2ζ40000000000000000000000000000
χ596−3−3i3−3+3i36−3−3i3−3+3i30000-33+3i323−3i32000−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5−4ζ−2ζ42ζ+4ζ42ζ−2ζ4000000ζ2−ζ5ζ2+2ζ5−2ζ2−ζ52ζ+ζ4−ζ−2ζ4−ζ+ζ40000000000000000000000000000
χ606−3−3i3−3+3i36−3−3i3−3+3i30000-33+3i323−3i32000−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ52ζ+4ζ42ζ−2ζ4−4ζ−2ζ4000000ζ2+2ζ5−2ζ2−ζ5ζ2−ζ5−ζ−2ζ4−ζ+ζ42ζ+ζ40000000000000000000000000000
χ6118−9+9i3−9−9i3-99−9i329+9i3200000000000000000000000000000000000000000000000000000000
χ6218−9−9i3−9+9i3-99+9i329−9i3200000000000000000000000000000000000000000000000000000000

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