Finite Group Databasebeta

← Group #72226198

Character table — Group #72226198

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size11112222222222222222222222222222222222444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888888888121212121212121212121212121212121212121212121212121212121212121224242424242424242424242424242424646464646464646464646464192192192192
order12223444444666888888888888888888888888244466121212121212121216161616161616161616161616161616242424242424242424242424242424242424242424242424888888121216161616161616162424242424242424242424244848484848484848484848484848484848484848484848484848484848484848161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616448812121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911111111111111111111111111111111111111-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ1011111111111111111111111111111111111111-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ1111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−ii−iii−i−iii−i−i−ii−ii
χ1211111111111111111111111111111111111111-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−ii−ii−i−iii−i−iiii−ii−i
χ1311111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iiii−i−ii
χ1411111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i−iii−i
χ1511111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ1611111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ172222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ182222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000
χ192222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22222-2-2-2-2-2-22222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000
χ202222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ2122222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222222222000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000022222222-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000
χ2222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222222222000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-2-2-2-2-22222222200000000-2-2-2-222220000000000000000
χ2322222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2000000002222-2-2-2-2222200000000000000000000000000000000000000000000000022222222-2-2-2-2-2-2-2-200000000-2-2-2-222220000000000000000
χ2422222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2000000002222-2-2-2-22222000000000000000000000000000000000000000000000000-2-2-2-2-2-2-2-222222222000000002222-2-2-2-20000000000000000
χ2522222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222220000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2-2-2-2-2-2-222220000000000000000000000000000000022222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ2622222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222220000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-22222000000000000000000000000
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χ2822222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2222222-2-20000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000022222222-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-22222222200000000000000002222-2-2-2-2000000000000000000000000
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χ312222222-2-2-2-222200000000000000002222-2-2-2-22-22-22222-2-2-2-2-2-2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000002222-2-2-2-20000000000002-22-2i2i2−i2−i2i2i2−i2−i20000000022-2-2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000002222-2-2-2-2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000022-2-2i2i2−i2−i2i2i2−i2−i20000000000000000
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χ352222222-2-2-2-222200000000000000002222-2-2-2-2-22-22-2-222-2-2-2-222i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000002222-2-2-2-2000000000000-22-22−i2−i2i2i2−i2−i2i2i200000000-2-222i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000002222-2-2-2-2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000-2-222−i2−i2i2i2−i2−i2i2i20000000000000000
χ362222222-2-2-2-222200000000000000002222-2-2-2-2-22-22-2-222-2-2-2-222i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000002222-2-2-2-2000000000000-22-22−i2−i2i2i2−i2−i2i2i200000000-2-222i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000-2-2-2-22222−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000022-2-2i2i2−i2−i2i2i2−i2−i20000000000000000
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Here i is the imaginary unit (i² = −1).