Finite Group Databasebeta

← Group #14518087

Character table — Group #14518087

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size12222333666666666666666888888888991818181818181818181818242424242424242424242424242424242424242424242424162162162162162162
order1399923333369999999918181827272727272727272766666181818181818181827272727272727272727272727272727272727272727272724661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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
χ4111111−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321−i321+i32
χ5111111−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ6111111−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321+i321−i32
χ722222222222222222222222-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ822222222-1-1-12-1-12-1-12-1-122222222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1000000
χ922222222-1-1-12-1-12-1-12-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-12-1-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1000000
χ1022222222-1-1-12-1-12-1-12-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-12-1-12-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222000000
χ11222222−1+i3−1−i32−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1-1-1-1-1-1-1−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000
χ12222222−1+i3−1−i3-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32222222222222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ13222222−1+i3−1−i3-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32222-1-1-1-1-1-1-1-1-1−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32222-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32000000
χ14222222−1+i3−1−i3-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32222-1-1-1-1-1-1-1-1-1−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32-1-1-12221−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3000000
χ15222222−1−i3−1+i32−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1-1-1-1-1-1-1−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000
χ16222222−1−i3−1+i3-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32222222222222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ17222222−1−i3−1+i3-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32222-1-1-1-1-1-1-1-1-1−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32222-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32000000
χ18222222−1−i3−1+i3-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32222-1-1-1-1-1-1-1-1-1−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32-1-1-12221+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3000000
χ1922-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ1522222-1-1-1-1-1-1-1-1ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15000000
χ2022-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ2422222-1-1-1-1-1-1-1-1ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24000000
χ2122-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ2122222-1-1-1-1-1-1-1-1ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21000000
χ2222-1-1-1222-1-1-122-1-12-1-12-1-1-1-1ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ1522-1-1-12-1-12-1-12-1ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ12+ζ15ζ3+ζ24ζ6+ζ21000000
χ2322-1-1-1222-1-1-122-1-12-1-12-1-1-1-1ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ2422-1-1-12-1-12-1-12-1ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ24ζ6+ζ21ζ12+ζ15000000
χ2422-1-1-1222-1-1-122-1-12-1-12-1-1-1-1ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ2122-1-1-12-1-12-1-12-1ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ6+ζ21ζ12+ζ15ζ3+ζ24000000
χ2522-1-1-1222-1-1-12-12-1-12-1-12-1-1-1ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ1522-1-1-1-12-1-12-1-12ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ3+ζ24000000
χ2622-1-1-1222-1-1-12-12-1-12-1-12-1-1-1ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ2422-1-1-1-12-1-12-1-12ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ6+ζ21000000
χ2722-1-1-1222-1-1-12-12-1-12-1-12-1-1-1ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ2122-1-1-1-12-1-12-1-12ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ12+ζ15000000
χ2822-1-1-12−1+i3−1−i32−1+i3−1−i32-1-11−i321−i321−i321+i321+i321+i32-1-1-1ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i32ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6000000
χ2922-1-1-12−1+i3−1−i32−1+i3−1−i32-1-11−i321−i321−i321+i321+i321+i32-1-1-1ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i32ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21000000
χ3022-1-1-12−1+i3−1−i32−1+i3−1−i32-1-11−i321−i321−i321+i321+i321+i32-1-1-1ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i32ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24000000
χ3122-1-1-12−1+i3−1−i3-11−i321+i3222-11−i32−1+i31−i321+i32−1−i31+i32-1-1-1ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15−1+i3−1−i3-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i32ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ3+ζ6ζ15+ζ21ζ12+ζ24000000
χ3222-1-1-12−1+i3−1−i3-11−i321+i3222-11−i32−1+i31−i321+i32−1−i31+i32-1-1-1ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24−1+i3−1−i3-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i32ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ15+ζ21ζ12+ζ24ζ3+ζ6000000
χ3322-1-1-12−1+i3−1−i3-11−i321+i3222-11−i32−1+i31−i321+i32−1−i31+i32-1-1-1ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21−1+i3−1−i3-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i32ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ12+ζ24ζ3+ζ6ζ15+ζ21000000
χ3422-1-1-12−1+i3−1−i3-11−i321+i322-121−i321−i32−1+i31+i321+i32−1−i3-1-1-1ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15−1+i3−1−i3-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i3ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ12+ζ24ζ3+ζ6ζ15+ζ21000000
χ3522-1-1-12−1+i3−1−i3-11−i321+i322-121−i321−i32−1+i31+i321+i32−1−i3-1-1-1ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24−1+i3−1−i3-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i3ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ3+ζ6ζ15+ζ21ζ12+ζ24000000
χ3622-1-1-12−1+i3−1−i3-11−i321+i322-121−i321−i32−1+i31+i321+i32−1−i3-1-1-1ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21−1+i3−1−i3-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i3ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ15+ζ21ζ12+ζ24ζ3+ζ6000000
χ3722-1-1-12−1−i3−1+i32−1−i3−1+i32-1-11+i321+i321+i321−i321−i321−i32-1-1-1ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i32ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24000000
χ3822-1-1-12−1−i3−1+i32−1−i3−1+i32-1-11+i321+i321+i321−i321−i321−i32-1-1-1ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i32ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12000000
χ3922-1-1-12−1−i3−1+i32−1−i3−1+i32-1-11+i321+i321+i321−i321−i321−i32-1-1-1ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i32ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ3+ζ15000000
χ4022-1-1-12−1−i3−1+i3-11+i321−i3222-11+i32−1−i31+i321−i32−1+i31−i32-1-1-1ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15−1−i3−1+i3-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i32ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ21+ζ24ζ6+ζ12ζ3+ζ15000000
χ4122-1-1-12−1−i3−1+i3-11+i321−i3222-11+i32−1−i31+i321−i32−1+i31−i32-1-1-1ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24−1−i3−1+i3-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i32ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ6+ζ12ζ3+ζ15ζ21+ζ24000000
χ4222-1-1-12−1−i3−1+i3-11+i321−i3222-11+i32−1−i31+i321−i32−1+i31−i32-1-1-1ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21−1−i3−1+i3-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i32ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ3+ζ15ζ21+ζ24ζ6+ζ12000000
χ4322-1-1-12−1−i3−1+i3-11+i321−i322-121+i321+i32−1−i31−i321−i32−1+i3-1-1-1ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15−1−i3−1+i3-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i3ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ3+ζ15ζ21+ζ24ζ6+ζ12000000
χ4422-1-1-12−1−i3−1+i3-11+i321−i322-121+i321+i32−1−i31−i321−i32−1+i3-1-1-1ζ6+ζ21ζ6+ζ21ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24−1−i3−1+i3-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i3ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ6+ζ21ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ6+ζ12ζ3+ζ15ζ21+ζ24ζ21+ζ24ζ6+ζ12ζ3+ζ15000000
χ4522-1-1-12−1−i3−1+i3-11+i321−i322-121+i321+i32−1−i31−i321−i32−1+i3-1-1-1ζ12+ζ15ζ12+ζ15ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ6+ζ21ζ6+ζ21−1−i3−1+i3-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i3ζ6+ζ21ζ12+ζ15ζ3+ζ24ζ3+ζ24ζ6+ζ21ζ12+ζ15ζ3+ζ6ζ15+ζ21ζ12+ζ24ζ12+ζ24ζ3+ζ6ζ15+ζ21ζ15+ζ21ζ12+ζ24ζ3+ζ6ζ21+ζ24ζ6+ζ12ζ3+ζ15ζ3+ζ15ζ21+ζ24ζ6+ζ12ζ6+ζ12ζ3+ζ15ζ21+ζ24000000
χ4633333-133333-133333333-1-1-1000000000-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000001-111-1-1
χ4733333-133333-133333333-1-1-1000000000-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-11-1-111
χ4833333-1−3+3i32−3−3i323−3+3i32−3−3i32-133−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-10000000001−i321+i32-11−i321+i32-1-11−i321−i321−i321+i321+i321+i320000000000000000000000001-1−1+i32−1−i321−i321+i32
χ4933333-1−3+3i32−3−3i323−3+3i32−3−3i32-133−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-10000000001−i321+i32-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000-111−i321+i32−1+i32−1−i32
χ5033333-1−3−3i32−3+3i323−3−3i32−3+3i32-133−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-10000000001+i321−i32-11+i321−i32-1-11+i321+i321+i321−i321−i321−i320000000000000000000000001-1−1−i32−1+i321+i321−i32
χ5133333-1−3−3i32−3+3i323−3−3i32−3+3i32-133−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-10000000001+i321−i32-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000-111+i321−i32−1−i32−1+i32
χ5266666-266-3-3-3-2-3-36-3-36-3-3-2-2-2000000000-2-211111-211-211000000000000000000000000000000
χ5366666-2−3+3i3−3−3i3-33−3i323+3i32-2-3-3−3+3i33−3i323−3i32−3−3i33+3i323+3i32-2-2-20000000001−i31+i31−1+i32−1−i32111−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000000000000000000000
χ5466666-2−3−3i3−3+3i3-33+3i323−3i32-2-3-3−3−3i33+3i323+3i32−3+3i33−3i323−3i32-2-2-20000000001+i31−i31−1−i32−1+i32111+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000000000000000000000
χ5566-3-3-3-266666-2-3-3-3-3-3-3-3-3111000000000-2-2-2-2-211111111000000000000000000000000000000
χ5666-3-3-3-266-3-3-3-26-3-36-3-36-3111000000000-2-2111-211-211-21000000000000000000000000000000
χ5766-3-3-3-266-3-3-3-2-36-3-36-3-36111000000000-2-21111-211-211-2000000000000000000000000000000
χ5866-3-3-3-2−3+3i3−3−3i36−3+3i3−3−3i3-2-3-33−3i323−3i323−3i323+3i323+3i323+3i321110000000001−i31+i3-21−i31+i311−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000000000
χ5966-3-3-3-2−3+3i3−3−3i3-33−3i323+3i32-26-33−3i32−3+3i33−3i323+3i32−3−3i33+3i321110000000001−i31+i31−1+i32−1−i32-21−1+i321−i3−1+i32−1−i321+i3−1−i32000000000000000000000000000000
χ6066-3-3-3-2−3+3i3−3−3i3-33−3i323+3i32-2-363−3i323−3i32−3+3i33+3i323+3i32−3−3i31110000000001−i31+i31−1+i32−1−i321-2−1+i32−1+i321−i3−1−i32−1−i321+i3000000000000000000000000000000
χ6166-3-3-3-2−3−3i3−3+3i36−3−3i3−3+3i3-2-3-33+3i323+3i323+3i323−3i323−3i323−3i321110000000001+i31−i3-21+i31−i311−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000000000
χ6266-3-3-3-2−3−3i3−3+3i3-33+3i323−3i32-26-33+3i32−3−3i33+3i323−3i32−3+3i33−3i321110000000001+i31−i31−1−i32−1+i32-21−1−i321+i3−1−i32−1+i321−i3−1+i32000000000000000000000000000000
χ6366-3-3-3-2−3−3i3−3+3i3-33+3i323−3i32-2-363+3i323+3i32−3−3i33−3i323−3i32−3+3i31110000000001+i31−i31−1−i32−1+i321-2−1−i32−1−i321+i3−1+i32−1+i321−i3000000000000000000000000000000
χ646-33ζ3+3ζ243ζ6+3ζ213ζ12+3ζ15600000-3000000003ζ3+3ζ243ζ6+3ζ213ζ12+3ζ153ζ+3ζ263ζ8+3ζ193ζ10+3ζ173ζ2+3ζ253ζ7+3ζ203ζ11+3ζ163ζ4+3ζ233ζ5+3ζ223ζ13+3ζ140000000000000000000000000000000000000000000
χ656-33ζ3+3ζ243ζ6+3ζ213ζ12+3ζ15600000-3000000003ζ3+3ζ243ζ6+3ζ213ζ12+3ζ153ζ8+3ζ193ζ10+3ζ173ζ+3ζ263ζ11+3ζ163ζ2+3ζ253ζ7+3ζ203ζ5+3ζ223ζ13+3ζ143ζ4+3ζ230000000000000000000000000000000000000000000
χ666-33ζ3+3ζ243ζ6+3ζ213ζ12+3ζ15600000-3000000003ζ3+3ζ243ζ6+3ζ213ζ12+3ζ153ζ10+3ζ173ζ+3ζ263ζ8+3ζ193ζ7+3ζ203ζ11+3ζ163ζ2+3ζ253ζ13+3ζ143ζ4+3ζ233ζ5+3ζ220000000000000000000000000000000000000000000
χ676-33ζ6+3ζ213ζ12+3ζ153ζ3+3ζ24600000-3000000003ζ6+3ζ213ζ12+3ζ153ζ3+3ζ243ζ2+3ζ253ζ11+3ζ163ζ7+3ζ203ζ4+3ζ233ζ13+3ζ143ζ5+3ζ223ζ8+3ζ193ζ10+3ζ173ζ+3ζ260000000000000000000000000000000000000000000
χ686-33ζ6+3ζ213ζ12+3ζ153ζ3+3ζ24600000-3000000003ζ6+3ζ213ζ12+3ζ153ζ3+3ζ243ζ7+3ζ203ζ2+3ζ253ζ11+3ζ163ζ13+3ζ143ζ5+3ζ223ζ4+3ζ233ζ+3ζ263ζ8+3ζ193ζ10+3ζ170000000000000000000000000000000000000000000
χ696-33ζ6+3ζ213ζ12+3ζ153ζ3+3ζ24600000-3000000003ζ6+3ζ213ζ12+3ζ153ζ3+3ζ243ζ11+3ζ163ζ7+3ζ203ζ2+3ζ253ζ5+3ζ223ζ4+3ζ233ζ13+3ζ143ζ10+3ζ173ζ+3ζ263ζ8+3ζ190000000000000000000000000000000000000000000
χ706-33ζ12+3ζ153ζ3+3ζ243ζ6+3ζ21600000-3000000003ζ12+3ζ153ζ3+3ζ243ζ6+3ζ213ζ4+3ζ233ζ5+3ζ223ζ13+3ζ143ζ8+3ζ193ζ+3ζ263ζ10+3ζ173ζ11+3ζ163ζ7+3ζ203ζ2+3ζ250000000000000000000000000000000000000000000
χ716-33ζ12+3ζ153ζ3+3ζ243ζ6+3ζ21600000-3000000003ζ12+3ζ153ζ3+3ζ243ζ6+3ζ213ζ5+3ζ223ζ13+3ζ143ζ4+3ζ233ζ10+3ζ173ζ8+3ζ193ζ+3ζ263ζ7+3ζ203ζ2+3ζ253ζ11+3ζ160000000000000000000000000000000000000000000
χ726-33ζ12+3ζ153ζ3+3ζ243ζ6+3ζ21600000-3000000003ζ12+3ζ153ζ3+3ζ243ζ6+3ζ213ζ13+3ζ143ζ4+3ζ233ζ5+3ζ223ζ+3ζ263ζ10+3ζ173ζ8+3ζ193ζ2+3ζ253ζ11+3ζ163ζ7+3ζ200000000000000000000000000000000000000000000
χ7318-99ζ3+9ζ249ζ6+9ζ219ζ12+9ζ15-600000300000000−3ζ3−3ζ24−3ζ6−3ζ21−3ζ12−3ζ150000000000000000000000000000000000000000000000000000
χ7418-99ζ6+9ζ219ζ12+9ζ159ζ3+9ζ24-600000300000000−3ζ6−3ζ21−3ζ12−3ζ15−3ζ3−3ζ240000000000000000000000000000000000000000000000000000
χ7518-99ζ12+9ζ159ζ3+9ζ249ζ6+9ζ21-600000300000000−3ζ12−3ζ15−3ζ3−3ζ24−3ζ6−3ζ210000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 27 (ζ27 = 1); i = ζ6.