Finite Group Databasebeta

← Group #10623924

Character table — Group #10623924

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111333444444444121212161616161616555151515202020202020555151515202020202020555151515202020202020
order1332669999995151510303045454545454526626618181818181841212412123636363636364121241212363636363636
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14
χ51−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26
χ61−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26
χ71−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34
χ81−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34
χ91−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22
χ10333-1-1-1000000333-1-1-1000000333-1-1-1000000333-1-1-1000000333-1-1-1000000
χ113−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i32000000
χ123−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i32000000
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ14111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ15111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ161−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14-11−i321+i32-11−i321+i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14-11−i321+i32-11−i321+i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14
χ171−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26-11−i321+i32-11−i321+i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26-11−i321+i32-11−i321+i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26
χ181−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26-11−i321+i32-11−i321+i32−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26-11−i321+i32-11−i321+i32−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26
χ191−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34-11+i321−i32-11+i321−i32ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34-11+i321−i32-11+i321−i32ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34
χ201−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34-11+i321−i32-11+i321−i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34-11+i321−i32-11+i321−i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34
χ211−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22-11+i321−i32-11+i321−i32ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22-11+i321−i32-11+i321−i32ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22
χ22333-1-1-1000000333-1-1-1000000333-1-1-1000000-3-3-3111000000-3-3-3111000000
χ233−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i32000000-33−3i323+3i321−1+i32−1−i32000000-33−3i323+3i321−1+i32−1−i32000000
χ243−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i32000000-33+3i323−3i321−1−i32−1+i32000000-33+3i323−3i321−1−i32−1+i32000000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i
χ26111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32iiiiii−ζ3−ζ3−ζ3−ζ15−ζ15−ζ15−i−i−i−i−i−iζ3ζ3ζ3ζ15ζ15ζ15
χ27111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32iiiiii−ζ15−ζ15−ζ15−ζ3−ζ3−ζ3−i−i−i−i−i−iζ15ζ15ζ15ζ3ζ3ζ3
χ281−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14-11−i321+i32-11−i321+i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14i−ζ3−ζ15i−ζ3−ζ15−ζ31−ζ7ζ7+ζ31−ζ35ζ23+ζ35−ζ23−iζ3ζ15−iζ3ζ15ζ31ζ7−ζ7−ζ31ζ35−ζ23−ζ35ζ23
χ291−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26-11−i321+i32-11−i321+i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26i−ζ3−ζ15i−ζ3−ζ15−ζ7ζ7+ζ31−ζ31−ζ23−ζ35ζ23+ζ35−iζ3ζ15−iζ3ζ15ζ7−ζ7−ζ31ζ31ζ23ζ35−ζ23−ζ35
χ301−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26-11−i321+i32-11−i321+i32−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26i−ζ3−ζ15i−ζ3−ζ15ζ7+ζ31−ζ31−ζ7ζ23+ζ35−ζ23−ζ35−iζ3ζ15−iζ3ζ15−ζ7−ζ31ζ31ζ7−ζ23−ζ35ζ23ζ35
χ311−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34-11+i321−i32-11+i321−i32ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34i−ζ15−ζ3i−ζ15−ζ3−ζ35−ζ23ζ23+ζ35−ζ7−ζ31ζ7+ζ31−iζ15ζ3−iζ15ζ3ζ35ζ23−ζ23−ζ35ζ7ζ31−ζ7−ζ31
χ321−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34-11+i321−i32-11+i321−i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34i−ζ15−ζ3i−ζ15−ζ3ζ23+ζ35−ζ35−ζ23−ζ31ζ7+ζ31−ζ7−iζ15ζ3−iζ15ζ3−ζ23−ζ35ζ35ζ23ζ31−ζ7−ζ31ζ7
χ331−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22-11+i321−i32-11+i321−i32ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22i−ζ15−ζ3i−ζ15−ζ3−ζ23ζ23+ζ35−ζ35ζ7+ζ31−ζ7−ζ31−iζ15ζ3−iζ15ζ3ζ23−ζ23−ζ35ζ35−ζ7−ζ31ζ7ζ31
χ34333-1-1-1000000333-1-1-1000000-3-3-31110000003i3i3i−i−i−i000000−3i−3i−3iiii000000
χ353−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i32000000-33−3i323+3i321−1+i32−1−i320000003i−3ζ3−3ζ15−iζ3ζ15000000−3i3ζ33ζ15i−ζ3−ζ15000000
χ363−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i32000000-33+3i323−3i321−1−i32−1+i320000003i−3ζ15−3ζ3−iζ15ζ3000000−3i3ζ153ζ3i−ζ15−ζ3000000
χ37111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii
χ38111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−i−i−i−i−i−iζ3ζ3ζ3ζ15ζ15ζ15iiiiii−ζ3−ζ3−ζ3−ζ15−ζ15−ζ15
χ39111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−i−i−i−i−i−iζ15ζ15ζ15ζ3ζ3ζ3iiiiii−ζ15−ζ15−ζ15−ζ3−ζ3−ζ3
χ401−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14-11−i321+i32-11−i321+i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14−iζ3ζ15−iζ3ζ15ζ31ζ7−ζ7−ζ31ζ35−ζ23−ζ35ζ23i−ζ3−ζ15i−ζ3−ζ15−ζ31−ζ7ζ7+ζ31−ζ35ζ23+ζ35−ζ23
χ411−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26-11−i321+i32-11−i321+i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26−iζ3ζ15−iζ3ζ15ζ7−ζ7−ζ31ζ31ζ23ζ35−ζ23−ζ35i−ζ3−ζ15i−ζ3−ζ15−ζ7ζ7+ζ31−ζ31−ζ23−ζ35ζ23+ζ35
χ421−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26-11−i321+i32-11−i321+i32−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26−iζ3ζ15−iζ3ζ15−ζ7−ζ31ζ31ζ7−ζ23−ζ35ζ23ζ35i−ζ3−ζ15i−ζ3−ζ15ζ7+ζ31−ζ31−ζ7ζ23+ζ35−ζ23−ζ35
χ431−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34-11+i321−i32-11+i321−i32ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34−iζ15ζ3−iζ15ζ3ζ35ζ23−ζ23−ζ35ζ7ζ31−ζ7−ζ31i−ζ15−ζ3i−ζ15−ζ3−ζ35−ζ23ζ23+ζ35−ζ7−ζ31ζ7+ζ31
χ441−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34-11+i321−i32-11+i321−i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34−iζ15ζ3−iζ15ζ3−ζ23−ζ35ζ35ζ23ζ31−ζ7−ζ31ζ7i−ζ15−ζ3i−ζ15−ζ3ζ23+ζ35−ζ35−ζ23−ζ31ζ7+ζ31−ζ7
χ451−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22-11+i321−i32-11+i321−i32ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22−iζ15ζ3−iζ15ζ3ζ23−ζ23−ζ35ζ35−ζ7−ζ31ζ7ζ31i−ζ15−ζ3i−ζ15−ζ3−ζ23ζ23+ζ35−ζ35ζ7+ζ31−ζ7−ζ31
χ46333-1-1-1000000333-1-1-1000000-3-3-3111000000−3i−3i−3iiii0000003i3i3i−i−i−i000000
χ473−3+3i32−3−3i32-11−i321+i320000003−3+3i32−3−3i32-11−i321+i32000000-33−3i323+3i321−1+i32−1−i32000000−3i3ζ33ζ15i−ζ3−ζ150000003i−3ζ3−3ζ15−iζ3ζ15000000
χ483−3−3i32−3+3i32-11+i321−i320000003−3−3i32−3+3i32-11+i321−i32000000-33+3i323−3i321−1−i32−1+i32000000−3i3ζ153ζ3i−ζ15−ζ30000003i−3ζ15−3ζ3−iζ15ζ3000000
χ49444444444444-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ50444444−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000000000000000
χ51444444−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000000000000000
χ524−2+2i3−2−2i34−2+2i3−2−2i3−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ14-11−i321+i32-11−i321+i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14000000000000000000000000000000000000
χ534−2+2i3−2−2i34−2+2i3−2−2i3−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ26-11−i321+i32-11−i321+i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26000000000000000000000000000000000000
χ544−2+2i3−2−2i34−2+2i3−2−2i34ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ26-11−i321+i32-11−i321+i32−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26000000000000000000000000000000000000
χ554−2−2i3−2+2i34−2−2i3−2+2i3−4ζ26−4ζ144ζ14+4ζ26−4ζ34−4ζ224ζ22+4ζ34-11+i321−i32-11+i321−i32ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34000000000000000000000000000000000000
χ564−2−2i3−2+2i34−2−2i3−2+2i34ζ14+4ζ26−4ζ26−4ζ14−4ζ224ζ22+4ζ34−4ζ34-11+i321−i32-11+i321−i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34000000000000000000000000000000000000
χ574−2−2i3−2+2i34−2−2i3−2+2i3−4ζ144ζ14+4ζ26−4ζ264ζ22+4ζ34−4ζ34−4ζ22-11+i321−i32-11+i321−i32ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22000000000000000000000000000000000000
χ58121212-4-4-4000000-3-3-3111000000000000000000000000000000000000000000
χ5912−6+6i3−6−6i3-42−2i32+2i3000000-33−3i323+3i321−1+i32−1−i32000000000000000000000000000000000000000000
χ6012−6−6i3−6+6i3-42+2i32−2i3000000-33+3i323−3i321−1−i32−1+i32000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.