Finite Group Databasebeta

← Group #11923371

Character table — Group #11923371

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222222444444446666888888888888888888888888888888888888888888881212121212121212121212121212363636364848484848484848
order12222222223666666666666666336666664444336666666666666666666666666666666666666666662444441212121212121212244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111−1+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+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+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−i32−1−i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411111111111111111111111111−1+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+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+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−i32−1−i32−1−i32-1-1-111-111111111-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32
χ511111111111111111111111111−1−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−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−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+i32−1+i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ611111111111111111111111111−1−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−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−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+i32−1+i32−1+i32-1-1-111-111111111-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32
χ7111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11-1-11111-1-11-1-1
χ8111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-111-1-1-1-111-111
χ9111111-1-1-1-11111111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321-1-1-1-111111-1-1-1-11-1-11−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ10111111-1-1-1-11111111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32-111-1-1-11111-1-1-1-1-111-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ11111111-1-1-1-11111111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321-1-1-1-111111-1-1-1-11-1-11−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ12111111-1-1-1-11111111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32-111-1-1-11111-1-1-1-1-111-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ131111-1-111-1-1111-1-1-1-11111-1-1-1-111111111111-1-111-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111-11-1-111-1-111-1-1-11-1111-11-1-11-1
χ141111-1-111-1-1111-1-1-1-11111-1-1-1-111111111111-1-111-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1111-1-111-1-11-11-1-1-11-111-11
χ151111-1-111-1-1111-1-1-1-11111-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1−1+i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-11-1-111-1-111-1-1-11-11−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ161111-1-111-1-1111-1-1-1-11111-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1−1+i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-111-1111-1-111-1-11-11-11−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ171111-1-111-1-1111-1-1-1-11111-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1−1−i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-11-1-111-1-111-1-1-11-11−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ181111-1-111-1-1111-1-1-1-11111-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1−1−i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-111-1111-1-111-1-11-11-11+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ191111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-11-11-111-1-1-1-111-1-11111-1-11-1-11
χ201111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-1-1-111-111-1
χ211111-1-1-1-111111-1-1-1-1-1-1-1-111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1−1+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321-11-11-111-1-1-1-111-1-111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ221111-1-1-1-111111-1-1-1-1-1-1-1-111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1−1+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11-1-11111-1-1-1-11111-1-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ231111-1-1-1-111111-1-1-1-1-1-1-1-111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1−1−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321-11-11-111-1-1-1-111-1-111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ241111-1-1-1-111111-1-1-1-1-1-1-1-111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1−1−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11-1-11111-1-1-1-11111-1-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ252222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000220-1-1-1-1-1-1-1-1000000000000
χ262222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322221−i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000220-1-1-1-1-1-1-1-1000000000000
χ272222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322221+i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000220-1-1-1-1-1-1-1-1000000000000
χ28222222-2-2-2-2-1-1-1-1-1-1-111111111-1222222222222-1-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111111000-2-20-1-1-1-11111000000000000
χ29222222-2-2-2-2-1-1-1-1-1-1-111111111-1−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322221−i321+i32−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i31+i31+i31+i31+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000-2-20-1-1-1-11111000000000000
χ30222222-2-2-2-2-1-1-1-1-1-1-111111111-1−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322221+i321−i32−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i31−i31−i31−i31−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000-2-20-1-1-1-11111000000000000
χ312222-2-222-2-2-1-1-11111-1-1-1-11111-12222222222-2-2-1-1-2-222-2-2-2-222-2-2-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-111110002-20-1-111-1-111000000000000
χ322222-2-222-2-2-1-1-11111-1-1-1-11111-1−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322-2-21−i321+i321−i31−i3−1+i3−1+i31−i31−i31+i31+i3−1−i3−1−i31+i31+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320002-20-1-111-1-111000000000000
χ332222-2-222-2-2-1-1-11111-1-1-1-11111-1−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322-2-21+i321−i321+i31+i3−1−i3−1−i31+i31+i31−i31−i3−1+i3−1+i31−i31−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320002-20-1-111-1-111000000000000
χ342222-2-2-2-222-1-1-111111111-1-1-1-1-12222222222-2-2-1-1-2-2-2-222-2-2-2-222-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1000-220-1-11111-1-1000000000000
χ352222-2-2-2-222-1-1-111111111-1-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322-2-21−i321+i321−i31−i31−i31−i3−1+i3−1+i31+i31+i31+i31+i3−1−i3−1−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000-220-1-11111-1-1000000000000
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χ1036-6-666-600006-6-666-6-600000000600000000-22-2200000000000000000000000000000000000000000000000000-22-220000000000000000
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χ1086-6-66-660000-33333-3-3−3i3−3i33i33i33i33i3−3i3−3i3-300000000-222-2000000000000000000000000000000000000000000000000001-1-11i3−i3−i3i3000000000000

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