Finite Group Databasebeta

← Group #72274599

Character table — Group #72274599

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111166666612121212121212121212121212121212121264646464646464641111666666121212121212121212121212121212121212646464646464646411116666661212121212121212121212121212121212126464646464646464111166666612121212121212121212121212121212121264646464646464641111666666121212121212121212121212121212121212646464646464646411116666661212121212121212121212121212121212126464646464646464
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
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χ493333-1-1-1-133-1-13-1-13-1-1-1-1-1-13-1-1-1-1300000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i3200000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i32000000003333-1-1-1-133-1-13-1-13-1-1-1-1-1-13-1-1-1-1300000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i3200000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i3200000000
χ503333-1-1-1-133-1-1-133-1-1-1-1-1-1-1-13-1-13-100000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i32−3+3i321−i3200000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i32−3−3i321+i32000000003333-1-1-1-133-1-1-133-1-1-1-1-1-1-1-13-1-13-100000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i32−3+3i321−i3200000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i32−3−3i321+i3200000000
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χ523333-1-1-1-133-1-1-1-1-1-1-133-1-13-1-13-1-1-100000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i3200000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i32000000003333-1-1-1-133-1-1-1-1-1-1-133-1-13-1-13-1-1-100000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i3200000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i3200000000
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χ873333-1-1-1-133-1-1-1-1-1-13-1-133-1-1-1-13-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i32000000003333-1-1-1-133-1-1-1-1-1-13-1-133-1-1-1-13-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i3200000000
χ883333-1-1-1-133-1-1-1-1-1-1-133-1-13-1-13-1-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i32000000003333-1-1-1-133-1-1-1-1-1-1-133-1-13-1-13-1-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i3200000000
χ893333-1-1-1-1-1-13-13-1-1-1-1-13-1-1-1-13-13-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i321+i32−3−3i321+i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i32−3−3i321+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i321−i32−3+3i321−i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i32−3+3i321−i321−i32000000003333-1-1-1-1-1-13-13-1-1-1-1-13-1-1-1-13-13-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i321+i32−3−3i321+i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i32−3−3i321+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i321−i32−3+3i321−i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i32−3+3i321−i321−i3200000000
χ903333-1-1-1-1-1-13-1-13-1-1-1-1-13-1-13-13-1-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i321+i32−3−3i321+i321+i32−3−3i321+i32−3−3i321+i321+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i321−i32−3+3i321−i321−i32−3+3i321−i32−3+3i321−i321−i321−i32000000003333-1-1-1-1-1-13-1-13-1-1-1-1-13-1-13-13-1-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i321+i32−3−3i321+i321+i32−3−3i321+i32−3−3i321+i321+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i321−i32−3+3i321−i321−i32−3+3i321−i32−3+3i321−i321−i321−i3200000000
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χ1421212-12-120000-44000000000000000000000000001212-12-120000-44000000000000000000000000001212-12-120000-4400000000000000000000000000-12-12121200004-400000000000000000000000000-12-12121200004-400000000000000000000000000-12-12121200004-400000000000000000000000000
χ14312-1212-1200-44000000000000000000000000000012-1212-1200-44000000000000000000000000000012-1212-1200-440000000000000000000000000000-1212-1212004-40000000000000000000000000000-1212-1212004-40000000000000000000000000000-1212-1212004-40000000000000000000000000000
χ14412-12-1212-4400000000000000000000000000000012-12-1212-4400000000000000000000000000000012-12-1212-44000000000000000000000000000000-121212-124-4000000000000000000000000000000-121212-124-4000000000000000000000000000000-121212-124-4000000000000000000000000000000
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χ149333333-1-1-1-1-1-133-1-133-1-1-1-1-1-1-1-1-1-100000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000-3-3-3-3-3-3111111-3-311-3-31111111111000000003−3i323−3i323−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i323−3i323−3i32−1+i32−1+i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000003+3i323+3i323+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i323+3i323+3i32−1−i32−1−i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
χ150333333-1-1-1-1-1-1-1-133-1-133-1-1-1-1-1-1-1-100000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i3200000000-3-3-3-3-3-311111111-3-311-3-311111111000000003−3i323−3i323−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i323−3i323−3i32−1+i32−1+i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000003+3i323+3i323+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i323+3i323+3i32−1−i32−1−i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
χ151333333-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-100000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200000000-3-3-3-3-3-311111111111111-3-3-3-31111000000003−3i323−3i323−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i323−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32000000003+3i323+3i323+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i323+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i3200000000
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Here i is the imaginary unit (i² = −1).