Finite Group Databasebeta

← Group #13143376

Character table — Group #13143376

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222333333334444444466666666666666668888881212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636727272727272
order122234466633666666881212242424243336666666661212121224661212121212121212242424242424242424242424242424246666666612121212121212122466881212242424244412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111-1-1-1-111111111111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1
χ6111111111111111111-1-111-1-1-1-111111111111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111
χ7111111111111111111-1-111-1-1-1-11111111111111111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-11-1-111
χ8111111111111111111-1-111-1-1-1-11111111111111111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111-111-1-1
χ91111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ101111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321−i32
χ111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ121111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i3211−1−i32−1+i32−1−i32−1+i32
χ131111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-111-1-11−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ141111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-111-1-11−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-111+i321−i32−1−i32−1+i32
χ151111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-11-1-1111−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ161111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-11-1-1111−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i321-1−1−i32−1+i321+i321−i32
χ171111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ181111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321+i32
χ191111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ201111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i3211−1+i32−1−i32−1+i32−1−i32
χ211111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-111-1-11−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ221111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-111-1-11−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-111−i321+i32−1+i32−1−i32
χ231111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-11-1-1111−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ241111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-11-1-1111−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i321-1−1+i32−1−i321−i321+i32
χ2522222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ2622222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000
χ27222222222222222222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122222-222-2-2-1-1-1-1-1-1-2-2-2-211111111111122-1-1-1-1-1-1-2-2111111000000000000000000
χ28222222222222222222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-22-2-222-1-1-1-1-1-1-2-2-2-2111111111111-2-211111122-1-1-1-1-1-1000000000000000000
χ292222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322222222-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3222222-11+i321−i32-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32000000000000000000
χ302222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322222222-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3-2-2-2-2-2-2-11+i321−i32-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i32000000000000000000
χ312222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-222-2-2-2-2-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i32-222-2-2-11+i321−i32-11+i321−i321+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32000000000000000000
χ322222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-222-2-2-2-2-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3-22-2-222-11+i321−i32-11+i321−i321+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3-1-11+i321+i321−i321−i32000000000000000000
χ332222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322222222-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3222222-11−i321+i32-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32000000000000000000
χ342222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322222222-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3-2-2-2-2-2-2-11−i321+i32-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i32000000000000000000
χ352222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-222-2-2-2-2-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i32-222-2-2-11−i321+i32-11−i321+i321−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32000000000000000000
χ362222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-222-2-2-2-2-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3-22-2-222-11−i321+i32-11−i321+i321−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i32000000000000000000
χ3722222-2-22222222222200-2-20000222222222222-2-2-2-2000000-2-2-2-2-2-2000000000000000000000000000000002-22200-2-20000000000
χ3822222-2-22222222222200-2-20000222222222222-2-2-2-2000000-2-2-2-2-2-200000000000000000000000000000000-22-2-200220000000000
χ3922222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300-2-200002−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i31+i31−i31+i31−i3000000-21+i31−i3-21+i31−i3000000000000000000000000000000002-2−1−i3−1+i3001+i31−i30000000000
χ4022222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300-2-200002−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i31+i31−i31+i31−i3000000-21+i31−i3-21+i31−i300000000000000000000000000000000-221+i31−i300−1−i3−1+i30000000000
χ4122222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300-2-200002−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i31−i31+i31−i31+i3000000-21−i31+i3-21−i31+i3000000000000000000000000000000002-2−1+i3−1−i3001−i31+i30000000000
χ4222222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300-2-200002−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i31−i31+i31−i31+i3000000-21−i31+i3-21−i31+i300000000000000000000000000000000-221−i31+i300−1+i3−1−i30000000000
χ432-22-222-2-2-2222-2-222-2-2002-20000222-2-2-2-2-2-222222-2-2000000222-2-2-20000000000000000000000000000000000002i−2i002i−2i2i−2i000000
χ442-22-222-2-2-2222-2-222-2-2002-20000222-2-2-2-2-2-222222-2-2000000222-2-2-2000000000000000000000000000000000000−2i2i00−2i2i−2i2i000000
χ452-22-222-2-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3002-200002−1−i3−1+i3-2-21+i31+i31−i31−i32−1−i3−1+i3−1−i3−1+i31+i31−i30000002−1−i3−1+i3-21+i31−i30000000000000000000000000000000000002i−2i002ζ22−2ζ222ζ14−2ζ14000000
χ462-22-222-2-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3002-200002−1−i3−1+i3-2-21+i31+i31−i31−i32−1−i3−1+i3−1−i3−1+i31+i31−i30000002−1−i3−1+i3-21+i31−i3000000000000000000000000000000000000−2i2i00−2ζ222ζ22−2ζ142ζ14000000
χ472-22-222-2-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3002-200002−1+i3−1−i3-2-21−i31−i31+i31+i32−1+i3−1−i3−1+i3−1−i31−i31+i30000002−1+i3−1−i3-21−i31+i30000000000000000000000000000000000002i−2i002ζ14−2ζ142ζ22−2ζ22000000
χ482-22-222-2-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3002-200002−1+i3−1−i3-2-21−i31−i31+i31+i32−1+i3−1−i3−1+i3−1−i31−i31+i30000002−1+i3−1−i3-21−i31+i3000000000000000000000000000000000000−2i2i00−2ζ142ζ14−2ζ222ζ22000000
χ492-22-22-22-2-2222-2-222-2-22-2-2222-2-2222-2-2-2-2-2-2222-2-222000000-2-2-22222-22-222-2-222-2-222-2-20000000000000000000000000000000000
χ502-22-22-22-2-2222-2-222-2-22-2-2222-2-2-1-1-1111111-1-1-1-2-222000000111-1-1-12-22-2-1-111-1-111-1-11100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3000000000000000000
χ512-22-22-22-2-2222-2-222-2-22-2-2222-2-2-1-1-1111111-1-1-1-2-222000000111-1-1-12-22-2-1-111-1-111-1-11100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3000000000000000000
χ522-22-22-22-2-2222-2-222-2-2-22-22-2-222222-2-2-2-2-2-2222-2-222000000-2-2-2222-22-22-2-222-2-222-2-2220000000000000000000000000000000000
χ532-22-22-22-2-2222-2-222-2-2-22-22-2-222-1-1-1111111-1-1-1-2-222000000111-1-1-1-22-2211-1-111-1-111-1-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3000000000000000000
χ542-22-22-22-2-2222-2-222-2-2-22-22-2-222-1-1-1111111-1-1-1-2-222000000111-1-1-1-22-2211-1-111-1-111-1-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3000000000000000000
χ552-22-22-22-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i32-2-2222-2-22−1−i3−1+i3-2-21+i31+i31−i31−i32−1−i3−1+i31+i31−i3−1−i3−1+i3000000-21+i31−i32−1−i3−1+i3−1−i31+i3−1+i31−i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i30000000000000000000000000000000000
χ562-22-22-22-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i32-2-2222-2-2-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i31−i3−1−i3−1+i30000001−1−i32−1+i32-11+i321−i32−1−i31+i3−1+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3200−i3i3−3+i323−i323+i32−3−i3200−i3i3−3+i323−i323+i32−3−i32000000000000000000
χ572-22-22-22-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i32-2-2222-2-2-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i31−i3−1−i3−1+i30000001−1−i32−1+i32-11+i321−i32−1−i31+i3−1+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3200i3−i33−i32−3+i32−3−i323+i3200i3−i33−i32−3+i32−3−i323+i32000000000000000000
χ582-22-22-22-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3-22-22-2-2222−1−i3−1+i3-2-21+i31+i31−i31−i32−1−i3−1+i31+i31−i3−1−i3−1+i3000000-21+i31−i32−1−i3−1+i31+i3−1−i31−i3−1+i3-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i30000000000000000000000000000000000
χ592-22-22-22-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3-22-22-2-222-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i31−i3−1−i3−1+i30000001−1−i32−1+i32-11+i321−i321+i3−1−i31−i3−1+i311-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3200−i3i3−3+i323−i323+i32−3−i3200i3−i33−i32−3+i32−3−i323+i32000000000000000000
χ602-22-22-22-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3-22-22-2-222-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i31−i3−1−i3−1+i30000001−1−i32−1+i32-11+i321−i321+i3−1−i31−i3−1+i311-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3200i3−i33−i32−3+i32−3−i323+i3200−i3i3−3+i323−i323+i32−3−i32000000000000000000
χ612-22-22-22-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i32-2-2222-2-22−1+i3−1−i3-2-21−i31−i31+i31+i32−1+i3−1−i31−i31+i3−1+i3−1−i3000000-21−i31+i32−1+i3−1−i3−1+i31−i3−1−i31+i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i30000000000000000000000000000000000
χ622-22-22-22-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i32-2-2222-2-2-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i31+i3−1+i3−1−i30000001−1+i32−1−i32-11−i321+i32−1+i31−i3−1−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3200−i3i33+i32−3−i32−3+i323−i3200−i3i33+i32−3−i32−3+i323−i32000000000000000000
χ632-22-22-22-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i32-2-2222-2-2-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i31+i3−1+i3−1−i30000001−1+i32−1−i32-11−i321+i32−1+i31−i3−1−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3200i3−i3−3−i323+i323−i32−3+i3200i3−i3−3−i323+i323−i32−3+i32000000000000000000
χ642-22-22-22-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3-22-22-2-2222−1+i3−1−i3-2-21−i31−i31+i31+i32−1+i3−1−i31−i31+i3−1+i3−1−i3000000-21−i31+i32−1+i3−1−i31−i3−1+i31+i3−1−i3-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i30000000000000000000000000000000000
χ652-22-22-22-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3-22-22-2-222-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i31+i3−1+i3−1−i30000001−1+i32−1−i32-11−i321+i321−i3−1+i31+i3−1−i311-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3200−i3i33+i32−3−i32−3+i323−i3200i3−i3−3−i323+i323−i32−3+i32000000000000000000
χ662-22-22-22-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3-22-22-2-222-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i31+i3−1+i3−1−i30000001−1+i32−1−i32-11−i321+i321−i3−1+i31+i3−1−i311-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3200i3−i3−3−i323+i323−i32−3+i3200−i3i33+i32−3−i32−3+i323−i32000000000000000000
χ6744444-4-44444444444400-4-40000-2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-400000022222200000000000000000000000000000000000000000000000000
χ6844444-4-4444−2−2i3−2+2i3−2−2i3−2+2i3−2−2i3−2+2i3−2−2i3−2+2i300-4-40000-21+i31−i3-2-21+i31+i31−i31−i3-21+i31−i32+2i32−2i32+2i32−2i30000002−1−i3−1+i32−1−i3−1+i300000000000000000000000000000000000000000000000000
χ6944444-4-4444−2+2i3−2−2i3−2+2i3−2−2i3−2+2i3−2−2i3−2+2i3−2−2i300-4-40000-21−i31+i3-2-21−i31−i31+i31+i3-21−i31+i32−2i32+2i32−2i32+2i30000002−1+i3−1−i32−1+i3−1−i300000000000000000000000000000000000000000000000000
χ7044-4-44004-4-44444-4-4-4-4000000004444-44-44-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000
χ7144-4-44004-4-44444-4-4-4-400000000-2-2-2-22-22-22222000000000000000000006−66−66−66−66−66−60000000000000000000000000000000000
χ7244-4-44004-4-44444-4-4-4-400000000-2-2-2-22-22-2222200000000000000000000−66−66−66−66−66−660000000000000000000000000000000000
χ7344-4-44004-4-4−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i32+2i32−2i3000000004−2−2i3−2+2i34-4−2−2i32+2i3−2+2i32−2i3-42+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000
χ7444-4-44004-4-4−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i32+2i32−2i300000000-21+i31−i3-221+i3−1−i31−i3−1+i32−1−i3−1+i3000000000000000000006−66−6−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ230000000000000000000000000000000000
χ7544-4-44004-4-4−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i32+2i32−2i300000000-21+i31−i3-221+i3−1−i31−i3−1+i32−1−i3−1+i300000000000000000000−66−662ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ230000000000000000000000000000000000
χ7644-4-44004-4-4−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i3000000004−2+2i3−2−2i34-4−2+2i32−2i3−2−2i32+2i3-42−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000
χ7744-4-44004-4-4−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i300000000-21−i31+i3-221−i3−1+i31+i3−1−i32−1+i3−1−i3000000000000000000006−66−6ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ230000000000000000000000000000000000
χ7844-4-44004-4-4−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i300000000-21−i31+i3-221−i3−1+i31+i3−1−i32−1+i3−1−i300000000000000000000−66−66−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ230000000000000000000000000000000000
χ794-44-444-4-4-4444-4-444-4-4004-40000-2-2-2222222-2-2-244-4-4000000-2-2-222200000000000000000000000000000000000000000000000000
χ804-44-444-4-4-44−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i3004-40000-21+i31−i322−1−i3−1−i3−1+i3−1+i3-21+i31−i3−2−2i3−2+2i32+2i32−2i3000000-21+i31−i32−1−i3−1+i300000000000000000000000000000000000000000000000000
χ814-44-444-4-4-44−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i3004-40000-21−i31+i322−1+i3−1+i3−1−i3−1−i3-21−i31+i3−2+2i3−2−2i32−2i32+2i3000000-21−i31+i32−1+i3−1−i300000000000000000000000000000000000000000000000000
χ824-4-44400-44-444-4-4-4-44400000000444-44-44-44-4-4-4000000000000000000000000000000000000000000000000000000000000000000
χ834-4-44400-44-444-4-4-4-44400000000-2-2-22-22-22-2222000000000000000000006−6−666−6−666−6−660000000000000000000000000000000000
χ844-4-44400-44-444-4-4-4-44400000000-2-2-22-22-22-222200000000000000000000−666−6−666−6−666−60000000000000000000000000000000000
χ854-4-44400-44-4−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i3000000004−2−2i3−2+2i3-442+2i3−2−2i32−2i3−2+2i3-42+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000
χ864-4-44400-44-4−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i300000000-21+i31−i32-2−1−i31+i3−1+i31−i32−1−i3−1+i3000000000000000000006−6−66−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ230000000000000000000000000000000000
χ874-4-44400-44-4−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i300000000-21+i31−i32-2−1−i31+i3−1+i31−i32−1−i3−1+i300000000000000000000−666−62ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ230000000000000000000000000000000000
χ884-4-44400-44-4−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i3000000004−2+2i3−2−2i3-442−2i3−2+2i32+2i3−2−2i3-42−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000
χ894-4-44400-44-4−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i300000000-21−i31+i32-2−1+i31−i3−1−i31+i32−1+i3−1−i3000000000000000000006−6−66ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ230000000000000000000000000000000000
χ904-4-44400-44-4−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i300000000-21−i31+i32-2−1+i31−i3−1−i31+i32−1+i3−1−i300000000000000000000−666−6−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ230000000000000000000000000000000000
χ916666-366-3-3-30000000066-3-3-3-3-3-3000000000000000066-3-3-3-300000000000000000000000000000000000000000000000000000000
χ926666-366-3-3-30000000066-3-3-3-3-3-30000000000000000-6-6333300000000000000000000000000000000000000000000000000000000
χ936666-366-3-3-300000000-6-6-3-3333300000000000000006-6-3-33300000000000000000000000000000000000000000000000000000000
χ946666-366-3-3-300000000-6-6-3-333330000000000000000-6633-3-300000000000000000000000000000000000000000000000000000000
χ956-66-6-3-6633-3000000006-63-3-3-333000000000000000000−3i33i3−3i33i300000000000000000000000000000000000000000000000000000000
χ966-66-6-3-6633-3000000006-63-3-3-3330000000000000000003i3−3i33i3−3i300000000000000000000000000000000000000000000000000000000
χ976-66-6-3-6633-300000000-663-333-3-3000000000000000000−3i33i33i3−3i300000000000000000000000000000000000000000000000000000000
χ986-66-6-3-6633-300000000-663-333-3-30000000000000000003i3−3i3−3i33i300000000000000000000000000000000000000000000000000000000
χ9912121212-6-12-12-6-6-60000000000660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1001212-12-12-600-66600000000000036−3636−36000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1011212-12-12-600-666000000000000−3636−3636000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-12-612-1266-60000000000-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-1212-6006-6600000000000036−36−3636000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212-6006-66000000000000−363636−36000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.