Finite Group Databasebeta

← Group #11919896

Character table — Group #11919896

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111222222222333333666666666666666666666666666666666666666666666666666666666161616161616161616161616323232323232323232323232323232323232
order12336644412121212121222666622222222222244444446666666666666666666666661212121212121212121212121212333333666666121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ41111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ51111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1−1+i32−1+i32−1+i32−1−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ61111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1−1−i32−1−i32−1−i32−1+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ7111111-11-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1111-1-1-1-1-1-1111-1-1-1
χ8111111-11-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1−1+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−i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32
χ9111111-11-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1−1−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+i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32
χ10111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111
χ11111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111−1+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−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ12111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111−1−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+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ1311−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+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−i32
χ1411−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32
χ1511−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321
χ1611−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1-1-111111-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ1711−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1-1-111111-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211−i321+i32-11−i321+i32-1−1−i321−1+i321+i32-11−i321+i32-11−i32
χ1811−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1-1-111111-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321+i32-11−i321+i32-11−i32−1+i32−1−i3211−i321+i32-11−i321+i32-1
χ1911−1+i32−1−i32−1+i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-11111-11-11−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−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i32
χ2011−1+i32−1−i32−1+i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-11111-11-11−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−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-1−1+i32−1−i3211−i321+i32-11+i32-11−i32−1−i321−1+i321+i32-11−i32
χ2111−1+i32−1−i32−1+i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-11111-11-11−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−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211+i32-11−i32−1−i321−1+i321+i32-11−i321−i321+i32-1−1+i32−1−i3211−i321+i32-1
χ2211−1+i32−1−i32−1+i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-111111111-1-111−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−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+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32
χ2311−1+i32−1−i32−1+i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-111111111-1-111−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−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+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-11−i321+i32-1−1+i32−1−i3211+i32-11−i321+i32-11−i32−1−i321−1+i32
χ2411−1+i32−1−i32−1+i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-111111111-1-111−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−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+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211+i32-11−i321+i32-11−i32−1−i321−1+i321−i321+i32-11−i321+i32-1−1+i32−1−i321
χ2511−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−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+i32
χ2611−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321
χ2711−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32
χ2811−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321111-1-1-1-1-1-1-1-111111-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i32
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χ984-444-4-40000000004-44-44-40000000000000000000000000000000000000000000000000000000001−i31−i31−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000
χ994-444-4-40000000004-44-44-40000000000000000000000000000000000000000000000000000000001+i31+i31+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000
χ1004-4−2+2i3−2−2i32−2i32+2i30000000004-4−2+2i32−2i3−2−2i32+2i3000000000000000000000000000000000000000000000000000000000-21−i31+i3-21−i31+i32−1+i3−1−i32−1+i3−1−i3000000000000000000
χ1014-4−2+2i3−2−2i32−2i32+2i30000000004-4−2+2i32−2i3−2−2i32+2i30000000000000000000000000000000000000000000000000000000001−i31+i3-21+i3-21−i3−1+i3−1−i32−1−i32−1+i3000000000000000000
χ1024-4−2+2i3−2−2i32−2i32+2i30000000004-4−2+2i32−2i3−2−2i32+2i30000000000000000000000000000000000000000000000000000000001+i3-21−i31−i31+i3-2−1−i32−1+i3−1+i3−1−i32000000000000000000
χ1034-4−2−2i3−2+2i32+2i32−2i30000000004-4−2−2i32+2i3−2+2i32−2i3000000000000000000000000000000000000000000000000000000000-21+i31−i3-21+i31−i32−1−i3−1+i32−1−i3−1+i3000000000000000000
χ1044-4−2−2i3−2+2i32+2i32−2i30000000004-4−2−2i32+2i3−2+2i32−2i30000000000000000000000000000000000000000000000000000000001−i3-21+i31+i31−i3-2−1+i32−1−i3−1−i3−1+i32000000000000000000
χ1054-4−2−2i3−2+2i32+2i32−2i30000000004-4−2−2i32+2i3−2+2i32−2i30000000000000000000000000000000000000000000000000000000001+i31−i3-21−i3-21+i3−1−i3−1+i32−1+i32−1−i3000000000000000000
χ10612-121212-12-12000000000-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10712-12−6+6i3−6−6i36−6i36+6i3000000000-442−2i3−2+2i32+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10812-12−6−6i3−6+6i36+6i36−6i3000000000-442+2i3−2−2i32−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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