Finite Group Databasebeta

← Group #14484747

Character table — Group #14484747

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186
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order1222344556661010101010102266661212151520202020303030303030441010101030303030303030306060606044444412121212224202020202020202041212121212121010101044444222264410106661010101010102266661212303020202020303030303030441010101030303030303030306060606044444412121212224202020202020202041212121212121010101044444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-111
χ6111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1
χ7111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ8111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-111
χ911111-1-1111111111111-111-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-11111-1-1-1-1-1-1-111-1-111-1-111-11-111111-1-1111111111111-111-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-11111-1-1-1-1-1-1-111-1-111-1-111-11-1
χ1011111-1-1111111111111-111-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-1111-1-11111-1-1-1-11-1111111-1-1111111111111-111-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-1111-1-11111-1-1-1-11-11
χ1111111-1-1111111111111-111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-11111-1-1-111-1-1-1-111-1-11-1111111-1-1111111111111-111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-11111-1-1-111-1-1-1-111-1-11-11
χ1211111-1-1111111111111-111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-11111-11-111111-1-1111111111111-111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-11111-11-1
χ1311111-1-111111111111-11-1-111-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111111-1-1-1-111-1-111-111111-1-111111111111-11-1-111-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111111-1-1-1-111-1-111-1
χ1411111-1-111111111111-11-1-111-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111111111-11-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-111111111111-11-1-111-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111111111-11-11111-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ1511111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-1111111111-1-111-1-111-1-1111111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-1111111111-1-111-1-111-1-11
χ1611111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111-11-1-1-1-11111-1-1-1-1-11111-1-1-1-111-111111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111-11-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+52000002222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+5200000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−52000002222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−5200000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52221+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−52000002222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52221+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−5200000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000022-21+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+52000002222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000022-21+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+5200000
χ212222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−52000002222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−5200000
χ222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+52000002222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+5200000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+52000002222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+5200000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000022-21−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−52000002222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000022-21−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−5200000
χ2522222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−520000022222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−5200000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000-2221+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+520000022222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000-2221+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+5200000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+520000022222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+5200000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000002-221+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−520000022222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000002-221+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−5200000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000002-2-2−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+520000022222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000002-2-2−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+5200000
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χ1724-44-4-2-44−1−5−1+5-222−1−5−1+51+51+51−51−500−2i32i32i3−2i32-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−52000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1−521+52−1+521−520000000000000000000000000000000000000-44-4424-41+51−52-2-21+51−5−1−5−1−5−1+5−1+5002i3−2i3−2i32i3-22−1−52−1+52−1−51+5−1+51−51+521+521−521−52−1−52−1+52000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ581+52−1−521−52−1+520000000000000000000000000000000000000
χ1734-44-4-2-44−1−5−1+5-222−1−5−1+51+51+51−51−5002i3−2i3−2i32i32-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−52000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1−521+52−1+521−520000000000000000000000000000000000000-44-4424-41+51−52-2-21+51−5−1−5−1−5−1+5−1+500−2i32i32i3−2i3-22−1−52−1+52−1−51+5−1+51−51+521+521−521−52−1−52−1+52000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ581+52−1−521−52−1+520000000000000000000000000000000000000
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χ1754-44-4-2-44−1+5−1−5-222−1+5−1−51−51−51+51+5002i3−2i3−2i32i32-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+52000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1+521−52−1−521+520000000000000000000000000000000000000-44-4424-41−51+52-2-21−51+5−1+5−1+5−1−5−1−500−2i32i32i3−2i3-22−1+52−1−52−1+51−5−1−51+51−521−521+521+52−1+52−1−52000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ461−52−1+521+52−1−520000000000000000000000000000000000000
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χ1868-8-88-400−2+25−2−2544-42−252+252−25−2+252+25−2−25000000001−51+50000−1+51−5−1−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000-888-84002−252+25-4-44−2+25−2−25−2+252−25−2−252+2500000000−1+5−1−500001−5−1+51+5−1−51−51+50000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.