Finite Group Databasebeta

← Group #14519207

Character table — Group #14519207

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85
size1233333333333666666666666999999181818181818181818242424242424242424242424242424242424242424242424242424545454545454545454545454545454545454
order132333333336666699999999966666618181818181818181833333333399999999999999999924666666661212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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−i32-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32
χ511111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ611111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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+i32-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32
χ7111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ8111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32
χ9111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i3211−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ10111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32-1-11−i321+i321−i321+i32-11+i32-11−i321−i321+i321−i321+i32-11+i32-11−i32
χ11111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ12111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321+i321+i32-11−i321−i321+i32-11−i321+i321+i32-11−i321−i321+i32-1
χ13111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ14111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32
χ15111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ16111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321−i321−i32-11+i321+i321−i32-11+i321−i321−i32-11+i321+i321−i32-1
χ17111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i3211−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ18111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32-1-11+i321−i321+i321−i32-11−i32-11+i321+i321−i321+i321−i32-11−i32-11+i32
χ192222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-12-12-12-12-12-1000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-12-12-12-12-12000000000000000000
χ2322222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000000000
χ2422222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322222-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32222−1+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+i32000000000000000000
χ2522222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322222-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i322-12-12-1−1+i31−i32−1+i31−i32−1+i31−i32−1−i31+i32−1−i31+i32−1−i31+i32000000000000000000
χ2622222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322222-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-12-12-121−i32−1+i31−i32−1+i31−i32−1+i31+i32−1−i31+i32−1−i31+i32−1−i3000000000000000000
χ2722222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000000000
χ2822222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322222-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32222−1−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−i32000000000000000000
χ2922222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322222-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i322-12-12-1−1−i31+i32−1−i31+i32−1−i31+i32−1+i31−i32−1+i31−i32−1+i31−i32000000000000000000
χ3022222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322222-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-12-12-121+i32−1−i31+i32−1−i31+i32−1−i31−i32−1+i31−i32−1+i31−i32−1+i3000000000000000000
χ31222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000000000
χ32222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i322−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000000000
χ33222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i322−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i322-1−1+i31−i32−1−i31+i322-1−1+i31−i32−1−i31+i322-1−1+i31−i32−1−i31+i32000000000000000000
χ34222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i322−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-121−i32−1+i31+i32−1−i3-121−i32−1+i31+i32−1−i3-121−i32−1+i31+i32−1−i3000000000000000000
χ35222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-11−i321+i321−i321+i32-11+i32-11−i32-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32000000000000000000
χ36222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32−1+i3−1−i3-11−i321+i321−i321+i32-11+i32-11−i32−1+i3−1−i32−1−i32−1+i3-11−i321+i321−i321+i32-11+i32-11−i322−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32000000000000000000
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χ7866-2−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i361−i31+i3-21−i31+i3-33−3i323+3i323+3i32-33−3i323−3i323+3i32-31+i3-21−i31−i31+i3-21−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000000000000000000000000000000000000000000
χ7966-2−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i31+i31−i3-21+i31−i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32-21+i31−i3-21+i31−i31−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000000000000000000000000000000000000000
χ8066-2−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i361+i31−i3-21+i31−i3-33+3i323−3i323−3i32-33+3i323+3i323−3i32-31−i3-21+i31+i31−i3-21−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000000000000000000000000000000000000000000
χ8166-2−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i31+i31−i3-21+i31−i3-33+3i323−3i323+3i323−3i32-33−3i32-33+3i321+i31−i3-21−i3-21+i31−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000000000000000000000000000000000000000000
χ8218-9180000000000-900000000000000000000000000000000000000000000000000000000000000000000000
χ8318-9-60000000012123-6-6000000000000000000000000000000000000000000000000000000000000000000000
χ8418-9-600000000−6+6i3−6−6i333−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000
χ8518-9-600000000−6−6i3−6+6i333+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).