Finite Group Databasebeta

← Group #11923197

Character table — Group #11923197

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222222444444446666888888888888888888888888888888888888888888881212121212121212121212121212363636364848484848484848
order12223444444666121212121212121212121212336666662244336666661212121212121212121212121212121212121212121212121212121212121212121212124444446612121212121244441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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+i3211-1-1-1-111111111-1-1-1-11+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−i3211-1-1-1-111111111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111
χ91111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−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−i321−i321−i321−i321−i321−i321−i321−i32-1-111-1-11111-1-1-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ101111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−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−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1111111-1-1-1-1-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321+i321+i321+i321+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+i321+i321+i321+i321+i321+i321+i321+i32-1-111-1-11111-1-1-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ121111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321+i321+i321+i321+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+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1111111-1-1-1-1-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ1311111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-1-1-11111-1-11-11-11-11-11-11-1
χ1411111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-11-1-11111-1-1-11-11-11-11-11-11
χ1511111-1-111-1-1111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321+i321+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−i321−i321−i321−i321-11-11-1-1-11111-1-11-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ1611111-1-111-1-1111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321+i321+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−i321−i321−i321−i321-1-11-11-1-11111-1-1-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ1711111-1-111-1-1111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321−i321−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+i321+i321+i321+i321-11-11-1-1-11111-1-11-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ1811111-1-111-1-1111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321−i321−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+i321+i321+i321+i321-1-11-11-1-11111-1-1-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ1911111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-11-1-111-1-1111-1-111-1-111-1-11
χ2011111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-111-111-1-111-1-111-1
χ2111111-1-1-1-111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-111-1-11-1-111-1-1111-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ2211111-1-1-1-111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11-111-1-1-111-1-111-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ2311111-1-1-1-111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-111-1-11-1-111-1-1111-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ2411111-1-1-1-111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11-111-1-1-111-1-111-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ252222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1000000000000
χ262222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322221+i321−i321+i321+i321+i321−i321−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−i32220000-1-1-1-1-1-1-1-1000000000000
χ272222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322221−i321+i321−i321−i321−i321+i321+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+i32220000-1-1-1-1-1-1-1-1000000000000
χ282222-122-2-2-2-2-1-1-1-1-1-1-111111111222222222222-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-20000-1-1-1-11111000000000000
χ292222-122-2-2-2-2-1-1-1-1-1-1-111111111−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322221+i321−i321+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-2-20000-1-1-1-11111000000000000
χ302222-122-2-2-2-2-1-1-1-1-1-1-111111111−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322221−i321+i321−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-2-20000-1-1-1-11111000000000000
χ312222-1-2-222-2-2-1-1-11111-1-1-1-1111122222222-2-222-1-1-1-1-1-1-1-1-2-2-2-222-2-222-2-21111-1-1-1-111111111-1-1-1-111112-2000011-1-1-1-111000000000000
χ322222-1-2-222-2-2-1-1-11111-1-1-1-11111−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2221+i321−i321+i321+i321+i321−i321−i321−i321+i31+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i322-2000011-1-1-1-111000000000000
χ332222-1-2-222-2-2-1-1-11111-1-1-1-11111−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2221−i321+i321−i321−i321−i321+i321+i321+i321−i31−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i322-2000011-1-1-1-111000000000000
χ342222-1-2-2-2-222-1-1-111111111-1-1-1-122222222-2-222-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-22211111111-1-1-1-111111111-1-1-1-1-22000011-1-111-1-1000000000000
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χ10566-6-6-36-60000-333-3-3333333−33−333333−33−3300000000-22-22000000000000000000000000000000000000000000000000001-11-1−33−33000000000000
χ10666-6-6-36-60000-333-3-333−33−333333−33−33333300000000-22-22000000000000000000000000000000000000000000000000001-11-13−33−3000000000000
χ10766-6-6-3-660000-33333-3-33333−33−33−33−333333000000002-2-2200000000000000000000000000000000000000000000000000-111-1−333−3000000000000
χ10866-6-6-3-660000-33333-3-3−33−3333333333−33−33000000002-2-2200000000000000000000000000000000000000000000000000-111-13−3−33000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.