Finite Group Databasebeta

← Group #13176805

Character table — Group #13176805

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111-1-111111111111111111111111-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-11111-1-1
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χ711111111111-1-111111111111111111111111-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-1-1-111
χ811111111111-1-111111111111111111111111-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-111111111-1-1
χ91111-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1
χ101111-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-11
χ111111-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-11
χ121111-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1111-1
χ131111-1-111111-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-11
χ141111-1-111111-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-11-1
χ151111-1-111111-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-11-1
χ161111-1-111111-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1-111-11
χ172222222222-1222222-1-1-1-1-1-122222222-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000000022-1-1-1-1-1-1-1-1000000
χ182222222222-1222222-1-1-1-1-1-122222222-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000-2-211111111000000
χ192222222222-1-2-22222-1-1-1-1-1-122222222-1-1-1-1-1-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111000022-2-200000000000000002-2-1-1-1-11111000000
χ202222222222-1-2-22222-1-1-1-1-1-122222222-1-1-1-1-1-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111110000-2-2220000000000000000-221111-1-1-1-1000000
χ212222222-1-1-12222-1-1-12222222-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002-1-1-12-1-1-12-1-1-12-1-1-10000000000000000
χ222222222-1-1-12222-1-1-12222222-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2111-2111-2111-21110000000000000000
χ232222222-1-1-12-2-22-1-1-12222222-1-1-12-1-1-122-1-1-1-222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-21111111111112-22-200002-1-1-1-21112-1-1-1-21110000000000000000
χ242222222-1-1-12-2-22-1-1-12222222-1-1-12-1-1-122-1-1-1-222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-2111111111111-22-220000-21112-1-1-1-21112-1-1-10000000000000000
χ25222222-12-1-1222-12-1-1222222-12-1-1-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-12-1-1-12-1-1-12-1-1-12-1-10000000000000000
χ26222222-12-1-1222-12-1-1222222-12-1-1-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001-2111-2111-2111-2110000000000000000
χ27222222-12-1-12-2-2-12-1-1222222-12-1-1-12-1-12-12-1-1-2-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-2-2-2-211-2-2111111-2-211111111-2-2-2-2111111111111-2-2-2-2111111112-22-20000-12-1-11-211-12-1-11-2110000000000000000
χ28222222-12-1-12-2-2-12-1-1222222-12-1-1-12-1-12-12-1-1-2-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-2-2-2-211-2-2111111-2-211111111-2-2-2-2111111111111-2-2-2-211111111-22-2200001-211-12-1-11-211-12-1-10000000000000000
χ29222222-1-12-1222-1-12-1222222-1-12-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122220000-1-12-1-1-12-1-1-12-1-1-12-10000000000000000
χ30222222-1-12-1222-1-12-1222222-1-12-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2000011-2111-2111-2111-210000000000000000
χ31222222-1-12-12-2-2-1-12-1222222-1-12-1-1-12-12-1-12-1-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-2-2-2-21111-2-2111111-2-21111111111-2-2-2-2111111111111-2-2-2-211112-22-20000-1-12-111-21-1-12-111-210000000000000000
χ32222222-1-12-12-2-2-1-12-1222222-1-12-1-1-12-12-1-12-1-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-2-2-2-21111-2-2111111-2-21111111111-2-2-2-2111111111111-2-2-2-21111-22-22000011-21-1-12-111-21-1-12-10000000000000000
χ33222222-1-1-12222-1-1-12222222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-12-1-1-12-1-1-12-1-1-120000000000000000
χ34222222-1-1-12222-1-1-12222222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000111-2111-2111-2111-20000000000000000
χ35222222-1-1-122-2-2-1-1-12222222-1-1-12-1-1-122-1-1-12-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-2-2-2-2111111-2-2111111-2-2111111111111-2-2-2-2111111111111-2-2-2-22-22-20000-1-1-12111-2-1-1-12111-20000000000000000
χ36222222-1-1-122-2-2-1-1-12222222-1-1-12-1-1-122-1-1-12-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-2-2-2-2111111-2-2111111-2-2111111111111-2-2-2-2111111111111-2-2-2-2-22-220000111-2-1-1-12111-2-1-1-120000000000000000
χ372222-2-22222-1222222-11111-122222222-1-1-1-1-1-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000022220000000000000000-2-2-1-111-1-111000000
χ382222-2-22222-1222222-11111-122222222-1-1-1-1-1-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000-2-2-2-200000000000000002211-1-111-1-1000000
χ392222-2-22222-1-2-22222-11111-122222222-1-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-2-20000000000000000-22-1-11111-1-1000000
χ402222-2-22222-1-2-22222-11111-122222222-1-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-22200000000000000002-211-1-1-1-111000000
χ412222-2-22-1-1-12222-1-1-12-2-2-2-222-1-1-12-1-1-122-1-1-1-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-122-2-222-1-1-1-1-1-1-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-200002-1-1-12-1-1-1-2111-21110000000000000000
χ422222-2-22-1-1-12222-1-1-12-2-2-2-222-1-1-12-1-1-122-1-1-1-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-122-2-222-1-1-1-1-1-1-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2220000-2111-21112-1-1-12-1-1-10000000000000000
χ432222-2-22-1-1-12-2-22-1-1-12-2-2-2-222-1-1-12-1-1-122-1-1-12-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1-2-222-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12-2-2200002-1-1-1-2111-21112-1-1-10000000000000000
χ442222-2-22-1-1-12-2-22-1-1-12-2-2-2-222-1-1-12-1-1-122-1-1-12-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1-2-222-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-222-20000-21112-1-1-12-1-1-1-21110000000000000000
χ452222-2-2-12-1-1222-12-1-12-2-2-2-22-12-1-1-12-1-12-12-1-1-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-12-1-122-2-2-1-122-1-1-1-111-2-21111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111122-2-20000-12-1-1-12-1-11-2111-2110000000000000000
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χ1594-4-44-44-24-2-2-200-24-2-222-22-222-4222-422-21-21102-2-442-22-21-1-221-11-1-11-112-22-2-11-11-11-11-12-1-100000000000000000000−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1604-4-44-44-2-24-2400-2-24-2-4-44-44-422-4222-424-2-24-202-22-2-442-2-22-224-4-222-22-22-22-2-44-442-22-222-4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1614-4-44-44-2-24-2-200-2-24-222-22-2222-4222-42-211-2102-22-2-442-21-11-1-221-1-11-11-11-112-22-2-11-11-1-12-1000000000000000000003i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i0000000000000000000000000000000000000000
χ1624-4-44-44-2-24-2-200-2-24-222-22-2222-4222-42-211-2102-22-2-442-21-11-1-221-1-11-11-11-112-22-2-11-11-1-12-100000000000000000000−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i0000000000000000000000000000000000000000
χ1634-4-44-44-2-2-24400-2-2-24-4-44-44-4222-4222-44-2-2-2402-22-22-2-44-22-22-224-42-22-22-22-22-22-2-44-44222-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1644-4-44-44-2-2-24-200-2-2-2422-22-22222-4222-4-2111-202-22-22-2-441-11-11-1-22-11-11-11-11-11-112-22-2-1-1-12000000000000000000003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1654-4-44-44-2-2-24-200-2-2-2422-22-22222-4222-4-2111-202-22-22-2-441-11-11-1-22-11-11-11-11-11-112-22-2-1-1-1200000000000000000000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000

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