Finite Group Databasebeta

← Group #13090908

Character table — Group #13090908

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size122223333333366666666181818181818181818181818181818181818181818181818181818181818181818181818818181818181818181
order133333333333333333333333333333999999999999999999999999999266666666
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ41111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ51111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ61111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ8222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1000000000
χ9222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1000000000
χ10222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222000000000
χ112222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000
χ122222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32222-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000000
χ132222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1222-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32000000000
χ142222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-12221−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3000000000
χ152222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000
χ162222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32222-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000000
χ172222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1222-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32000000000
χ182222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-12221+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3000000000
χ1922-1-1-122222222-1-1-1-1-1-1-1-12-1-12-1-12-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000
χ2022-1-1-122222222-1-1-1-1-1-1-1-12-1-12-1-12-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000
χ2122-1-1-122222222-1-1-1-1-1-1-1-12-1-12-1-12-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000
χ2222-1-1-122222222-1-1-1-1-1-1-1-1-12-1-12-1-12-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7000000000
χ2322-1-1-122222222-1-1-1-1-1-1-1-1-12-1-12-1-12-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5000000000
χ2422-1-1-122222222-1-1-1-1-1-1-1-1-12-1-12-1-12-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8000000000
χ2522-1-1-122222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8000000000
χ2622-1-1-122222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7000000000
χ2722-1-1-122222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5000000000
χ2822-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2000000000
χ2922-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7000000000
χ3022-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8000000000
χ3122-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ4ζ+ζ5ζ7+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ7+ζ8ζ2+ζ4ζ+ζ5ζ5+ζ7ζ4+ζ8ζ+ζ2ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8000000000
χ3222-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ5ζ7+ζ8ζ2+ζ4ζ7+ζ8ζ2+ζ4ζ+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2000000000
χ3322-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ2ζ5+ζ7ζ4+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2ζ4+ζ8ζ+ζ2ζ5+ζ7000000000
χ3422-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ5ζ7+ζ8ζ2+ζ4ζ5+ζ7ζ4+ζ8ζ+ζ2ζ+ζ2ζ5+ζ7ζ4+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7000000000
χ3522-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ5ζ7+ζ8ζ2+ζ4ζ2+ζ4ζ+ζ5ζ7+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5ζ4+ζ8ζ+ζ2ζ5+ζ7ζ5+ζ7ζ4+ζ8ζ+ζ2ζ+ζ2ζ5+ζ7ζ4+ζ8000000000
χ3622-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ5ζ7+ζ8ζ2+ζ4ζ2+ζ4ζ+ζ5ζ7+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ5+ζ7ζ4+ζ8ζ+ζ2000000000
χ3722-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8000000000
χ3822-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4000000000
χ3922-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5000000000
χ4022-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ5+ζ7ζ4+ζ8ζ+ζ2ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ7+ζ8ζ2+ζ4ζ+ζ5000000000
χ4122-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2ζ+ζ5ζ7+ζ8ζ2+ζ4ζ7+ζ8ζ2+ζ4ζ+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8000000000
χ4222-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2ζ4+ζ8ζ+ζ2ζ5+ζ7ζ7+ζ8ζ2+ζ4ζ+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4000000000
χ4322-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2ζ+ζ2ζ5+ζ7ζ4+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ2+ζ4ζ+ζ5ζ7+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ5ζ7+ζ8ζ2+ζ4000000000
χ4422-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ5+ζ7ζ4+ζ8ζ+ζ2ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ2+ζ4ζ+ζ5ζ7+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5000000000
χ4522-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ2ζ5+ζ7ζ4+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ5+ζ7ζ4+ζ8ζ+ζ2ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ5ζ7+ζ8ζ2+ζ4ζ2+ζ4ζ+ζ5ζ7+ζ8000000000
χ4633333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ4733333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ4833333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000000000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ4933333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ5033333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000000000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ5133333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ5233333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ5333333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ5433333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3230000000000000000000000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ5533333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ5633333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000000000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ5733333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ5866-3-3-3−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000000000000000
χ5966-3-3-3−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i33−3i323+3i323−3i323+3i32-33+3i32-33−3i32000000000000000000000000000000000000000000000
χ6066-3-3-3−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i363−3i323+3i323+3i32-33−3i323−3i323+3i32-3000000000000000000000000000000000000000000000
χ6166-3-3-3−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000000000000000000000000000000000000000000
χ6266-3-3-3−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i363+3i323−3i323−3i32-33+3i323+3i323−3i32-3000000000000000000000000000000000000000000000
χ6366-3-3-3−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i33+3i323−3i323+3i323−3i32-33−3i32-33+3i32000000000000000000000000000000000000000000000
χ6418-918-9-90000000000000000000000000000000000000000000000000000000000000
χ6518-9-918-90000000000000000000000000000000000000000000000000000000000000
χ6618-9-9-9180000000000000000000000000000000000000000000000000000000000000

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