Finite Group Databasebeta

← Group #13153891

Character table — Group #13153891

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
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χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-1-1-11111-1-111-1-1-1-1-1-11111
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χ1053333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323-33-3−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000001-11-111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ1063333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323-33-3−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i3200000000000000000000000000000000000000000000000000000000000000000000000000000000-11-11-1-1111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ1073333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-33-333−3i323+3i32−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000001-11-1-1-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ1083333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-33-333−3i323+3i32−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i3200000000000000000000000000000000000000000000000000000000000000000000000000000000-11-1111-1-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ1093333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-333-3-33−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i3233-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000001-1-111-11-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ1103333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-333-3-33−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i3233-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i3200000000000000000000000000000000000000000000000000000000000000000000000000000000-111-1-11-111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ1113333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-333-3-33−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32-3-3333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000001-1-11-11-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ1123333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-333-3-33−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32-3-3333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000000000000000000000000000000000000000000000000000-111-11-11-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ1133333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3333−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323-3-33−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i320000000000000000000000000000000000000000000000000000000000000000000000000000000011-1-11-1-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ1143333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3333−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323-3-33−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i3200000000000000000000000000000000000000000000000000000000000000000000000000000000-1-111-111-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ1153333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3333−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32-333-33−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i320000000000000000000000000000000000000000000000000000000000000000000000000000000011-1-1-111-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ1163333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3333−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32-333-33−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i3200000000000000000000000000000000000000000000000000000000000000000000000000000000-1-1111-1-111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
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χ13566-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i36-66-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ14266-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3-66-666-63−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).