Finite Group Databasebeta

← Group #13147224

Character table — Group #13147224

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111333444666666121212161616161616161616161616222666888121212121212242424323232323232323232323232333999121212181818181818363636484848484848484848484848
order133266266441212121241212999999181818181818333666666121212121212121212999999181818181818266266266441212121241212181818181818181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111-1-1-1111111-1-1-1111111-1-1-1-1-1-1111111-1-1-1111111-1-1-1111111-1-1-1-1-1-1111111-1-1-1111111-1-1-1111111-1-1-1-1-1-1
χ5111111-1-1-1111111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32111111-1-1-1111111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32111111-1-1-1111111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ6111111-1-1-1111111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32111111-1-1-1111111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32111111-1-1-1111111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ71−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34
χ81−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34
χ91−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22
χ101−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ341−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ341−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34
χ111−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ341−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ341−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34
χ121−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ221−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ221−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22
χ131−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14
χ141−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26
χ151−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26
χ161−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ141−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ141−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14
χ171−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ261−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ261−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26
χ181−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26
χ19333333333-1-1-1-1-1-1-1-1-1000000000000333333333-1-1-1-1-1-1-1-1-1000000000000333333333-1-1-1-1-1-1-1-1-1000000000000
χ20333333-3-3-3-1-1-1-1-1-1111000000000000333333-3-3-3-1-1-1-1-1-1111000000000000333333-3-3-3-1-1-1-1-1-1111000000000000
χ213−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i32-11+i321−i320000000000003−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i32-11+i321−i320000000000003−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i32-11+i321−i32000000000000
χ223−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321+i321−i321−i321−1−i32−1+i320000000000003−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321+i321−i321−i321−1−i32−1+i320000000000003−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321+i321−i321−i321−1−i32−1+i32000000000000
χ233−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i32-11−i321+i320000000000003−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i32-11−i321+i320000000000003−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i32-11−i321+i32000000000000
χ243−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321−i321+i321+i321−1+i32−1−i320000000000003−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321−i321+i321+i321−1+i32−1−i320000000000003−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321−i321+i321+i321−1+i32−1−i32000000000000
χ25666-2-2-20002i−2i2i−2i2i−2i000000000000000666-2-2-20002i−2i2i−2i2i−2i000000000000000666-2-2-20002i−2i2i−2i2i−2i000000000000000
χ26666-2-2-2000−2i2i−2i2i−2i2i000000000000000666-2-2-2000−2i2i−2i2i−2i2i000000000000000666-2-2-2000−2i2i−2i2i−2i2i000000000000000
χ276−3−3i3−3+3i3-21+i31−i30002i−2i−2ζ152ζ15−2ζ32ζ30000000000000006−3−3i3−3+3i3-21+i31−i30002i−2i−2ζ152ζ15−2ζ32ζ30000000000000006−3−3i3−3+3i3-21+i31−i30002i−2i−2ζ152ζ15−2ζ32ζ3000000000000000
χ286−3−3i3−3+3i3-21+i31−i3000−2i2i2ζ15−2ζ152ζ3−2ζ30000000000000006−3−3i3−3+3i3-21+i31−i3000−2i2i2ζ15−2ζ152ζ3−2ζ30000000000000006−3−3i3−3+3i3-21+i31−i3000−2i2i2ζ15−2ζ152ζ3−2ζ3000000000000000
χ296−3+3i3−3−3i3-21−i31+i30002i−2i−2ζ32ζ3−2ζ152ζ150000000000000006−3+3i3−3−3i3-21−i31+i30002i−2i−2ζ32ζ3−2ζ152ζ150000000000000006−3+3i3−3−3i3-21−i31+i30002i−2i−2ζ32ζ3−2ζ152ζ15000000000000000
χ306−3+3i3−3−3i3-21−i31+i3000−2i2i2ζ3−2ζ32ζ15−2ζ150000000000000006−3+3i3−3−3i3-21−i31+i3000−2i2i2ζ3−2ζ32ζ15−2ζ150000000000000006−3+3i3−3−3i3-21−i31+i3000−2i2i2ζ3−2ζ32ζ15−2ζ15000000000000000
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32
χ33111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32
χ34111111-1-1-1111111-1-1-1111111-1-1-1-1-1-1111111-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111
χ35111111-1-1-1111111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32111111-1-1-1111111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1111-1-1-1-1-1-11111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ36111111-1-1-1111111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32111111-1-1-1111111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1111-1-1-1-1-1-11111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ371−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34
χ381−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34
χ391−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22
χ401−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ341−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34
χ411−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ341−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34
χ421−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ221−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22
χ431−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14
χ441−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26
χ451−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26
χ461−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ141−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14
χ471−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ261−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26
χ481−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ261−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26
χ49333333333-1-1-1-1-1-1-1-1-1000000000000333333333-1-1-1-1-1-1-1-1-1000000000000-3-3-3-3-3-3-3-3-3111111111000000000000
χ50333333-3-3-3-1-1-1-1-1-1111000000000000333333-3-3-3-1-1-1-1-1-1111000000000000-3-3-3-3-3-3333111111-1-1-1000000000000
χ513−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i32-11+i321−i320000000000003−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i32-11+i321−i32000000000000-33+3i323−3i32-33+3i323−3i32-33+3i323−3i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32000000000000
χ523−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321+i321−i321−i321−1−i32−1+i320000000000003−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321+i321−i321−i321−1−i32−1+i32000000000000-33+3i323−3i32-33+3i323−3i323−3−3i32−3+3i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32000000000000
χ533−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i32-11−i321+i320000000000003−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i32-11−i321+i32000000000000-33−3i323+3i32-33−3i323+3i32-33−3i323+3i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32000000000000
χ543−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321−i321+i321+i321−1+i32−1−i320000000000003−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321−i321+i321+i321−1+i32−1−i32000000000000-33−3i323+3i32-33−3i323+3i323−3+3i32−3−3i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32000000000000
χ55666-2-2-20002i−2i2i−2i2i−2i000000000000000666-2-2-20002i−2i2i−2i2i−2i000000000000000-6-6-6222000−2i2i−2i2i−2i2i000000000000000
χ56666-2-2-2000−2i2i−2i2i−2i2i000000000000000666-2-2-2000−2i2i−2i2i−2i2i000000000000000-6-6-62220002i−2i2i−2i2i−2i000000000000000
χ576−3−3i3−3+3i3-21+i31−i30002i−2i−2ζ152ζ15−2ζ32ζ30000000000000006−3−3i3−3+3i3-21+i31−i30002i−2i−2ζ152ζ15−2ζ32ζ3000000000000000-63+3i33−3i32−1−i3−1+i3000−2i2i2ζ15−2ζ152ζ3−2ζ3000000000000000
χ586−3−3i3−3+3i3-21+i31−i3000−2i2i2ζ15−2ζ152ζ3−2ζ30000000000000006−3−3i3−3+3i3-21+i31−i3000−2i2i2ζ15−2ζ152ζ3−2ζ3000000000000000-63+3i33−3i32−1−i3−1+i30002i−2i−2ζ152ζ15−2ζ32ζ3000000000000000
χ596−3+3i3−3−3i3-21−i31+i30002i−2i−2ζ32ζ3−2ζ152ζ150000000000000006−3+3i3−3−3i3-21−i31+i30002i−2i−2ζ32ζ3−2ζ152ζ15000000000000000-63−3i33+3i32−1+i3−1−i3000−2i2i2ζ3−2ζ32ζ15−2ζ15000000000000000
χ606−3+3i3−3−3i3-21−i31+i3000−2i2i2ζ3−2ζ32ζ15−2ζ150000000000000006−3+3i3−3−3i3-21−i31+i3000−2i2i2ζ3−2ζ32ζ15−2ζ15000000000000000-63−3i33+3i32−1+i3−1−i30002i−2i−2ζ32ζ3−2ζ152ζ15000000000000000
χ61222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ62222222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32000000000000000000000000000000
χ63222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32000000000000000000000000000000
χ64222222-2-2-2222222-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111000000000000000000000000000000
χ65222222-2-2-2222222-2-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i3-1-1-1-1-1-1111-1-1-1-1-1-11111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000000000
χ66222222-2-2-2222222-2-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i3-1-1-1-1-1-1111-1-1-1-1-1-11111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000000000
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χ682−1−i3−1+i32−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i3−2ζ26−2ζ142ζ14+2ζ26−2ζ34−2ζ222ζ22+2ζ34−2ζ26−2ζ142ζ14+2ζ26−2ζ34−2ζ222ζ22+2ζ34-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34000000000000000000000000000000
χ692−1−i3−1+i32−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i3−2ζ142ζ14+2ζ26−2ζ262ζ22+2ζ34−2ζ34−2ζ22−2ζ142ζ14+2ζ26−2ζ262ζ22+2ζ34−2ζ34−2ζ22-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22000000000000000000000000000000
χ702−1−i3−1+i32−1−i3−1+i3-21+i31−i322−1−i3−1−i3−1+i3−1+i3-21+i31−i32ζ14+2ζ26−2ζ26−2ζ14−2ζ222ζ22+2ζ34−2ζ34−2ζ14−2ζ262ζ262ζ142ζ22−2ζ22−2ζ342ζ34-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34000000000000000000000000000000
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χ732−1+i3−1−i32−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i3−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ14−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ14-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14000000000000000000000000000000
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χ752−1+i3−1−i32−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i3−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ26−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ26-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26000000000000000000000000000000
χ762−1+i3−1−i32−1+i3−1−i3-21−i31+i322−1+i3−1+i3−1−i3−1−i3-21−i31+i3−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ142ζ222ζ34−2ζ22−2ζ342ζ26−2ζ14−2ζ262ζ14-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14000000000000000000000000000000
χ772−1+i3−1−i32−1+i3−1−i3-21−i31+i322−1+i3−1+i3−1−i3−1−i3-21−i31+i32ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ26−2ζ22−2ζ342ζ222ζ34−2ζ14−2ζ262ζ142ζ26-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26000000000000000000000000000000
χ782−1+i3−1−i32−1+i3−1−i3-21−i31+i322−1+i3−1+i3−1−i3−1−i3-21−i31+i3−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ262ζ34−2ζ22−2ζ342ζ222ζ142ζ26−2ζ14−2ζ26-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26000000000000000000000000000000
χ79666666666-2-2-2-2-2-2-2-2-2000000000000-3-3-3-3-3-3-3-3-3111111111000000000000000000000000000000000000000000
χ80666666-6-6-6-2-2-2-2-2-2222000000000000-3-3-3-3-3-3333111111-1-1-1000000000000000000000000000000000000000000
χ816−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3-2-21+i31+i31−i31−i3-21+i31−i3000000000000-33+3i323−3i32-33+3i323−3i32-33+3i323−3i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32000000000000000000000000000000000000000000
χ826−3−3i3−3+3i36−3−3i3−3+3i3-63+3i33−3i3-2-21+i31+i31−i31−i32−1−i3−1+i3000000000000-33+3i323−3i32-33+3i323−3i323−3−3i32−3+3i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32000000000000000000000000000000000000000000
χ836−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3-2-21−i31−i31+i31+i3-21−i31+i3000000000000-33−3i323+3i32-33−3i323+3i32-33−3i323+3i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32000000000000000000000000000000000000000000
χ846−3+3i3−3−3i36−3+3i3−3−3i3-63−3i33+3i3-2-21−i31−i31+i31+i32−1+i3−1−i3000000000000-33−3i323+3i32-33−3i323+3i323−3+3i32−3−3i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32000000000000000000000000000000000000000000
χ85121212-4-4-40004i−4i4i−4i4i−4i000000000000000-6-6-6222000−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000
χ86121212-4-4-4000−4i4i−4i4i−4i4i000000000000000-6-6-62220002i−2i2i−2i2i−2i000000000000000000000000000000000000000000000
χ8712−6−6i3−6+6i3-42+2i32−2i30004i−4i−4ζ154ζ15−4ζ34ζ3000000000000000-63+3i33−3i32−1−i3−1+i3000−2i2i2ζ15−2ζ152ζ3−2ζ3000000000000000000000000000000000000000000000
χ8812−6−6i3−6+6i3-42+2i32−2i3000−4i4i4ζ15−4ζ154ζ3−4ζ3000000000000000-63+3i33−3i32−1−i3−1+i30002i−2i−2ζ152ζ15−2ζ32ζ3000000000000000000000000000000000000000000000
χ8912−6+6i3−6−6i3-42−2i32+2i30004i−4i−4ζ34ζ3−4ζ154ζ15000000000000000-63−3i33+3i32−1+i3−1−i3000−2i2i2ζ3−2ζ32ζ15−2ζ15000000000000000000000000000000000000000000000
χ9012−6+6i3−6−6i3-42−2i32+2i3000−4i4i4ζ3−4ζ34ζ15−4ζ15000000000000000-63−3i33+3i32−1+i3−1−i30002i−2i−2ζ32ζ3−2ζ152ζ15000000000000000000000000000000000000000000000

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