Finite Group Databasebeta

← Group #72245749

Character table — Group #72245749

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127
size11222222233334444444466666666666666666612121212121212121212121212121212121212121212121212121212121212121212242424242424242424242424484848484848484848484848484848484848727272727272727272727272727272727272727272727272
order122344666336644121212121212224466666612121212121212122266666666666666666666661212121212121212121299918181818181818181836363636363636363636363636363636363624446688881212121212122424242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ5111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+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−i3211111111−1+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−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1−i321111−1+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
χ6111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+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−i3211111111−1+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−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321+i32-1-1-1-11−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32
χ7111111111−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-11111−1+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−i32-1-111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1−i32-1-111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ8111111111−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-11111−1+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−i32-1-111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321+i3211-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ9111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−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+i3211111111−1−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+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1+i321111−1−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
χ10111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−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+i3211111111−1−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+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321−i32-1-1-1-11+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32
χ11111111111−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-11111−1−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+i32-1-111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1+i32-1-111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ12111111111−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-11111−1−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+i32-1-111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321−i3211-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ1311-11-11-1-1111111-11-111-1-1-11-11-1-1-1-111-1-1-1-111111-11-111-1-11-11-1111-1-1-1111-1-1-11-11-11-11-11-1111-1-1-1-1-1-11111-11-11-111-1-111-1-111-1-11-11-1111-11-1-1-11-11-11-11-11-11-1
χ1411-11-11-1-1111111-11-111-1-1-11-11-1-1-1-111-1-1-1-111111-11-111-1-11-11-1111-1-1-1111-1-1-11-11-11-11-11-1111-1-1-1-1-1-11111-11-11-111-1-111-1-111-1-1-11-11-1-1-11-1111-11-11-11-11-11-11
χ1511-11-11-1-111111-111-1-1-111-11-11-1-1-1-111-1-1-1-11111-111-1-1-1111-11-1-1-1-1111-1-1-11111-11-11-1-11-11111-1-1-1-1-1-11111-11-11-1-1-111-1-111-1-1111-1-1111-111-1-1-1-11-111-11-1-11-11
χ1611-11-11-1-111111-111-1-1-111-11-11-1-1-1-111-1-1-1-11111-111-1-1-1111-11-1-1-1-1111-1-1-11111-11-11-1-11-11111-1-1-1-1-1-11111-11-11-1-1-111-1-111-1-111-111-1-1-11-1-11111-11-1-11-111-11-1
χ1711-11-11-1-11−1+i32−1−i32−1+i32−1−i321-11-111-1-1-11-111−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-11-111-1-1−1+i321−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i32−1−i321-11-11−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ1811-11-11-1-11−1+i32−1−i32−1+i32−1−i321-11-111-1-1-11-111−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-11-111-1-1−1+i321−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i321+i32-11-11−1+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ1911-11-11-1-11−1+i32−1−i32−1+i32−1−i32-111-1-1-111-11-111−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-1-1-111−1+i321−i32−1−i321+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321-1−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1-11−1+i32−1−i32-111-11−i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ2011-11-11-1-11−1+i32−1−i32−1+i32−1−i32-111-1-1-111-11-111−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-1-1-111−1+i321−i32−1−i321+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321-1−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111-11−i321+i321-1-11−1+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ2111-11-11-1-11−1−i32−1+i32−1−i32−1+i321-11-111-1-1-11-111+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-11-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i32−1+i321-11-11+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ2211-11-11-1-11−1−i32−1+i32−1−i32−1+i321-11-111-1-1-11-111+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-11-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i321−i32-11-11−1−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ2311-11-11-1-11−1−i32−1+i32−1−i32−1+i32-111-1-1-111-11-111+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-1-1-111−1−i321+i32−1+i321−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321-1−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1-11−1−i32−1+i32-111-11+i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ2411-11-11-1-11−1−i32−1+i32−1−i32−1+i32-111-1-1-111-11-111+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-1-1-111−1−i321+i32−1+i321−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321-1−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111-11+i321−i321-1-11−1−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ252222222222222222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ262222222222222-2-222-2-2-2-2222222222222222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000
χ27222222222−1+i3−1−i3−1+i3−1−i3222222222222−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−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−i3−1−i3−1−i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000
χ28222222222−1+i3−1−i3−1+i3−1−i3-2-222-2-2-2-22222−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-222-2-2-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31−i31−i31+i31+i31+i31+i31+i31+i322−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
χ29222222222−1−i3−1+i3−1−i3−1+i3222222222222−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+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+i3−1+i3−1+i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000
χ30222222222−1−i3−1+i3−1−i3−1+i3-2-222-2-2-2-22222−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-222-2-2-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31+i31+i31−i31−i31−i31−i31−i31−i322−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ312222-2-2222222200-2-20000-2-2222-22-2-2-22-22-22-22-200-2-20000-2-2-2-20000000000002222220000222222222222-2-2-2-2-2-2000000000000000000000000000000000000
χ322222-2-2222222200-2-20000-2-2222-22-2-2-22-22-22-22-200-2-20000-2-2-2-20000000000002222220000-1-1-1-1-1-1-1-1-1-1-1-1111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ332222-2-2222222200-2-20000-2-2222-22-2-2-22-22-22-22-200-2-20000-2-2-2-20000000000002222220000-1-1-1-1-1-1-1-1-1-1-1-1111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ342222-2-2222−1+i3−1−i3−1+i3−1−i300-2-20000-2-222−1+i31−i3−1−i31+i31−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300-2-200001−i31−i31+i31+i300000000000022−1+i3−1+i3−1−i3−1−i300002−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i3-2-21−i31−i31+i31+i3000000000000000000000000000000000000
χ352222-2-2222−1+i3−1−i3−1+i3−1−i300-2-20000-2-222−1+i31−i3−1−i31+i31−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300-2-200001−i31−i31+i31+i300000000000022−1+i3−1+i3−1−i3−1−i30000-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32000000000000000000000000
χ362222-2-2222−1+i3−1−i3−1+i3−1−i300-2-20000-2-222−1+i31−i3−1−i31+i31−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300-2-200001−i31−i31+i31+i300000000000022−1+i3−1+i3−1−i3−1−i30000-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32000000000000000000000000
χ372222-2-2222−1−i3−1+i3−1−i3−1+i300-2-20000-2-222−1−i31+i3−1+i31−i31+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300-2-200001+i31+i31−i31−i300000000000022−1−i3−1−i3−1+i3−1+i300002−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i3-2-21+i31+i31−i31−i3000000000000000000000000000000000000
χ382222-2-2222−1−i3−1+i3−1−i3−1+i300-2-20000-2-222−1−i31+i3−1+i31−i31+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300-2-200001+i31+i31−i31−i300000000000022−1−i3−1−i3−1+i3−1+i30000-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000000000000000000000
χ392222-2-2222−1−i3−1+i3−1−i3−1+i300-2-20000-2-222−1−i31+i3−1+i31−i31+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300-2-200001+i31+i31−i31−i300000000000022−1−i3−1−i3−1+i3−1+i30000-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000000000000000000000
χ4022-222-2-2-22222200-2200002-2-22-22-22-2-2-22-222-22-200-220000-22-220000000000002-22-22-20000222-2-2-2-2-2-2222-22-22-22000000000000000000000000000000000000
χ4122-222-2-2-22222200-2200002-2-22-22-22-2-2-22-222-22-200-220000-22-220000000000002-22-22-20000-1-1-1111111-1-1-11-11-11-1i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ4222-222-2-2-22222200-2200002-2-22-22-22-2-2-22-222-22-200-220000-22-220000000000002-22-22-20000-1-1-1111111-1-1-11-11-11-1−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
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χ4422-222-2-2-22−1+i3−1−i3−1+i3−1−i300-2200002-2-221−i3−1+i31+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300-2200001−i3−1+i31+i3−1−i30000000000002-2−1+i31−i3−1−i31+i30000-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i321-1−1+i321−i32−1−i321+i32i3−i3−i3i3−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32000000000000000000000000
χ4522-222-2-2-22−1+i3−1−i3−1+i3−1−i300-2200002-2-221−i3−1+i31+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300-2200001−i3−1+i31+i3−1−i30000000000002-2−1+i31−i3−1−i31+i30000-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i321-1−1+i321−i32−1−i321+i32−i3i3i3−i33+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32000000000000000000000000
χ4622-222-2-2-22−1−i3−1+i3−1−i3−1+i300-2200002-2-221+i3−1−i31−i3−1+i31+i31−i31+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300-2200001+i3−1−i31−i3−1+i30000000000002-2−1−i31+i3−1+i31−i300002−1−i3−1+i3-2-21+i31+i31−i31−i32−1−i3−1+i3-221+i3−1−i31−i3−1+i3000000000000000000000000000000000000
χ4722-222-2-2-22−1−i3−1+i3−1−i3−1+i300-2200002-2-221+i3−1−i31−i3−1+i31+i31−i31+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300-2200001+i3−1−i31−i3−1+i30000000000002-2−1−i31+i3−1+i31−i30000-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i321-1−1−i321+i32−1+i321−i32i3−i3−i3i33−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i32000000000000000000000000
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χ4922-22-22-2-2222222-22-222-2-2-22-22-2-2-2-222-2-2-2-222222-22-222-2-22-22-2222-2-2-2222-2-2-22-22-22-22-22-2-1-1-1111111-1-1-1-11-11-11-1-111-1-111-1-111000000000000000000000000
χ5022-22-22-2-222222-222-2-2-222-22-22-2-2-2-222-2-2-2-22222-222-2-2-2222-22-2-2-2-2222-2-2-22222-22-22-2-22-22-1-1-1111111-1-1-1-11-11-1111-1-111-1-111-1-1000000000000000000000000
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χ56333333333333333333333-1-1-1-13-13-1-1-1-13-13-13-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333000000000000000000000000000000-1-111-1-1-1-111-1-111111111-1-1-1-1
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χ11566-6-3-6633-30000-66-3333-3-32-22-202+2i302−2i3−2−2i3−2+2i32+2i302−2i30−2−2i30−2+2i302-21-1-1-1111+i3−1−i31−i3−1+i32+2i3−1−i3−1−i3−2−2i31+i31+i32−2i3−1+i3−1+i3−2+2i31−i31−i31-11+i3−1−i31−i3−1+i30000000000000000000000000000000000000000000000000000000000
χ11666-6-3-6633-30000-66-3333-3-3-66-6600000000000000-66-3333-3-30000000000000000-3300000000000000000000000000000000000000000000000000000000000000
χ1178-8080000-888-8-80000000000000000000000000000000000000000000000000000000000002222i3−2i32i3−2i32i3−2i3-2-2-2000000000000000000000000000000000000000000
χ1188-8080000-888-8-8000000000000000000000000000000000000000000000000000000000000222−2i32i3−2i32i3−2i32i3-2-2-2000000000000000000000000000000000000000000
χ1198-8080000-888-8-8000000000000000000000000000000000000000000000000000000000000-4-4-4000000444000000000000000000000000000000000000000000
χ1208-8080000-8−4+4i3−4−4i34−4i34+4i30000000000000000000000000000000000000000000000000000000000002−1+i3−1−i32i3−2i3−3−i33+i33−i3−3+i3-21−i31+i3000000000000000000000000000000000000000000
χ1218-8080000-8−4+4i3−4−4i34−4i34+4i30000000000000000000000000000000000000000000000000000000000002−1+i3−1−i3−2i32i33+i3−3−i3−3+i33−i3-21−i31+i3000000000000000000000000000000000000000000
χ1228-8080000-8−4+4i3−4−4i34−4i34+4i3000000000000000000000000000000000000000000000000000000000000-42−2i32+2i30000004−2+2i3−2−2i3000000000000000000000000000000000000000000
χ1238-8080000-8−4−4i3−4+4i34+4i34−4i30000000000000000000000000000000000000000000000000000000000002−1−i3−1+i32i3−2i33−i3−3+i3−3−i33+i3-21+i31−i3000000000000000000000000000000000000000000
χ1248-8080000-8−4−4i3−4+4i34+4i34−4i30000000000000000000000000000000000000000000000000000000000002−1−i3−1+i3−2i32i3−3+i33−i33+i3−3−i3-21+i31−i3000000000000000000000000000000000000000000
χ1258-8080000-8−4−4i3−4+4i34+4i34−4i3000000000000000000000000000000000000000000000000000000000000-42+2i32−2i30000004−2−2i3−2+2i3000000000000000000000000000000000000000000
χ12624-240-120012i3−12i3120000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12724-240-1200−12i312i3120000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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