Finite Group Databasebeta

← Group #13161190

Character table — Group #13161190

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size111122222222222222222222224444444444444444444444444444444444444444444466666666666666666688888888888888888888888888121212121212121212121212121212121212121212121212121212363636363636727272108108216
order12223333344666666666666666333344666666666666121212121212121212121212121212121212121212121212121222666666666666666612121212121212121212121212121212121212121212121212124441212121212121212121212121212121212121212121212128824242424266884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1
χ6111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ7111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-11
χ8111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111-1
χ9222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-20000000000000000-222222222222222222200-2-2-2-2-2-2-2-20000000000000000-200-2-2-2-2-2-2-2-20000000000000000000000000000
χ10222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-20000000000000000200222222220000000000000000000000000000
χ1122222222-12222222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000022-1-1-1-12-1-1000
χ1222222222-12222222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-2-21111-211000
χ1322222222-12222222222-1-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-100000000000000000011-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000022-1-1-1-1-211000
χ1422222222-12222222222-1-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-100000000000000000011-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000-2-211112-1-1000
χ1522222-1-1-122222-1-1-1-1-1-12222-1-1-12-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1622222-1-1-122222-1-1-1-1-1-12222-1-1-12-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-2-21111111111112222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111111-2-2-2-2111111111111000000000000
χ1722222-1-1-122222-1-1-1-1-1-12222-1-1-12-1-1-1-2-222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-21111111111112222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2-2-21111111111112-2-222-1-1-1-1-1-1-2-2-2-2111111111111000000000000
χ1822222-1-1-122222-1-1-1-1-1-12222-1-1-12-1-1-1-2-222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-21111111111112-2-2-2-2-2-2111111111111-2-222-1-1-1-1-1-1-2-2-2-2111111111111-222-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1922222-1-1-12-2-222-1-1-1-1-1-12222-1-1-12-1-1-10022-1-1-1-1-1-12-1-1-1-2-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2222222-1-1-1-1-1-1-1-1-1-1-1-100-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-200-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000000000000
χ2022222-1-1-12-2-222-1-1-1-1-1-12222-1-1-12-1-1-10022-1-1-1-1-1-12-1-1-1-2-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2-2-2-2-2-2-211111111111100-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i320022-1-1-1-1-1-10000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000000000000
χ2122222-1-1-12-2-222-1-1-1-1-1-12222-1-1-12-1-1-10022-1-1-1-1-1-12-1-1-1-2-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2222222-1-1-1-1-1-1-1-1-1-1-1-100-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-200-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000000000000
χ2222222-1-1-12-2-222-1-1-1-1-1-12222-1-1-12-1-1-10022-1-1-1-1-1-12-1-1-1-2-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-2-2-2-2-2-211111111111100-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i320022-1-1-1-1-1-10000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000000000000
χ232222-12-1-1222-1-122-1-1-1-1222-12-1-1-12-1-122-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ242222-12-1-1222-1-122-1-1-1-1222-12-1-1-12-1-122-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-2-21111-2-2-2-21111111122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-211-2-211111111-2-21111-2-21111000000000000
χ252222-12-1-1222-1-122-1-1-1-1222-12-1-1-12-1-1-2-2-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-21111-2-21111222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-122-1-1-1-11111-2-21111-2-211112-2-2-1-122-1-1-1-11111-2-21111-2-21111000000000000
χ262222-12-1-1222-1-122-1-1-1-1222-12-1-1-12-1-1-2-2-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-21111-2-211112-2-21111-2-2-2-211111111-2-2-1-122-1-1-1-11111-2-21111-2-21111-22211-2-21111-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ272222-12-1-12-2-2-1-122-1-1-1-1222-12-1-1-12-1-100-1-122-1-1-1-1-12-1-1-211-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-222-1-1-1-12222-1-1-1-1-1-1-1-10011-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-20011-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3000000000000
χ282222-12-1-12-2-2-1-122-1-1-1-1222-12-1-1-12-1-100-1-122-1-1-1-1-12-1-1-211-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-2-2-21111-2-2-2-2111111110011-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3200-1-122-1-1-1-1i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3000000000000
χ292222-12-1-12-2-2-1-122-1-1-1-1222-12-1-1-12-1-100-1-122-1-1-1-1-12-1-1-211-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-222-1-1-1-12222-1-1-1-1-1-1-1-10011-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-20011-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3000000000000
χ302222-12-1-12-2-2-1-122-1-1-1-1222-12-1-1-12-1-100-1-122-1-1-1-1-12-1-1-211-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-2-2-21111-2-2-2-2111111110011-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3200-1-122-1-1-1-1−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3000000000000
χ312222-1-12-1222-1-1-1-122-1-1222-1-12-1-1-12-122-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ322222-1-12-1222-1-1-1-122-1-1222-1-12-1-1-12-122-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-2-211111111-2-2-2-2111122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-21111-2-211111111-2-2111111-2-2000000000000
χ332222-1-12-1222-1-1-1-122-1-1222-1-12-1-1-12-1-2-2-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1111111-2-2111111-2-2222-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-1-1-1-122-1-1111111-2-2111111-2-22-2-2-1-1-1-122-1-1111111-2-2111111-2-2000000000000
χ342222-1-12-1222-1-1-1-122-1-1222-1-12-1-1-12-1-2-2-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1111111-2-2111111-2-22-2-211111111-2-2-2-21111-2-2-1-1-1-122-1-1111111-2-2111111-2-2-2221111-2-211-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ352222-1-12-12-2-2-1-1-1-122-1-1222-1-12-1-1-12-100-1-1-1-122-1-1-1-12-1-21111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300-222-1-1-1-1-1-1-1-12222-1-1-1-1001111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300-2001111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300000000000000
χ362222-1-12-12-2-2-1-1-1-122-1-1222-1-12-1-1-12-100-1-1-1-122-1-1-1-12-1-21111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300-2-2-211111111-2-2-2-21111001111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300200-1-1-1-122-1-1i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300000000000000
χ372222-1-12-12-2-2-1-1-1-122-1-1222-1-12-1-1-12-100-1-1-1-122-1-1-1-12-1-21111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300-222-1-1-1-1-1-1-1-12222-1-1-1-1001111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300-2001111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300000000000000
χ382222-1-12-12-2-2-1-1-1-122-1-1222-1-12-1-1-12-100-1-1-1-122-1-1-1-12-1-21111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300-2-2-211111111-2-2-2-21111001111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300200-1-1-1-122-1-1−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300000000000000
χ392222-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1000000000000
χ402222-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-12-2-2111111111111-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1-2-2-2111111-2-211111111-2-211-2-211000000000000
χ412222-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-12-2-2-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12211111111-2-211-2-211222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-1-12211111111-2-211-2-2112-2-2-1-1-1-1-1-12211111111-2-211-2-211000000000000
χ422222-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-12-2-2-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12211111111-2-211-2-2112-2-2111111111111-2-2-2-2-2-2-1-1-1-1-1-12211111111-2-211-2-211-222111111-2-2-1-1-1-1-1-1-1-122-1-122-1-1000000000000
χ432222-1-1-122-2-2-1-1-1-1-1-122222-1-1-12-1-1-1200-1-1-1-1-1-122-1-1-12-2111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3-222-1-1-1-1-1-1-1-1-1-1-1-1222200111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3-200111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3000000000000
χ442222-1-1-122-2-2-1-1-1-1-1-122222-1-1-12-1-1-1200-1-1-1-1-1-122-1-1-12-2111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3-2-2-2111111111111-2-2-2-200111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3200-1-1-1-1-1-122i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3000000000000
χ452222-1-1-122-2-2-1-1-1-1-1-122222-1-1-12-1-1-1200-1-1-1-1-1-122-1-1-12-2111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3-222-1-1-1-1-1-1-1-1-1-1-1-1222200111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3-200111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3000000000000
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χ11544-4-4-2-24-24002-22-2-442-2-44-422-42-2-24-2002-22-2-442-222-420000000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000
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χ11844-4-4-2-2-244002-22-22-2-44-44-4222-4-2-2-24002-22-22-2-44222-400000000000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000000
χ1194-44-44444-2-44-4-4-4-4-4-4-4-422-24444-2-2-2-20022222222-2-2-2-2-2-44-44-44-4400000000000000002000000000000000000002-22-22-22-20000000000000000000000000000000000000000000000000000000
χ1204-44-44-2-2-2-24-4-4-422222222-24-2-2-2-21114-422-1-1-1-1-1-1-211124-4-22-22-224-44-4-22-22-22-22-22-22-2000000000000000000-22-221-11-11-1-22-221-11-11-11-11-11-1000000000000000000000000000000000000000
χ1214-44-44-2-2-2-24-4-4-422222222-24-2-2-2-2111-4422-1-1-1-1-1-1-211124-4-22-22-22-44-442-22-22-22-22-22-2-20000000000000000002-2-221-11-11-12-22-2-11-11-11-11-11-11000000000000000000000000000000000000000
χ1224-44-44-2-2-2-2-44-4-422222222-24-2-2-2-21110022-1-1-1-1-1-1-2111-2-442-22-22-20000−2i32i3−2i32i3−2i32i32i3−2i32i3−2i32i3−2i32000000000000000000002-2-11-11-110000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000
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χ1304-44-4-2-24-2-2-442222-4-42222-2-2-24-211-2100-1-1-1-122-1-111-21-22-22-2-442-2−2i32i32i3−2i32i3−2i300−2i32i3−2i32i32i3−2i300200000000000000000000-11-112-2-11i3−i3−i3i3−i3i300i3−i3i3−i3−i3i300000000000000000000000000000000000000000
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χ1434-4-44-2-24-2400-22-224-4-224-4-422-42-2-24-200-22-224-4-2222-4200000000000000000000000000-442-22-22-22-2-44-442-22-200000000000000000000000000000000000000000000000000000000000000000
χ1444-4-44-2-2-24400-22-22-224-44-4-4222-4-2-2-2400-22-22-224-4222-4000000000000000000000000004-4-22-22-22-22-22-224-44-400000000000000000000000000000000000000000000000000000000000000000
χ1454-4-44-2-2-24400-22-22-224-44-4-4222-4-2-2-2400-22-22-224-4222-400000000000000000000000000-442-22-22-22-22-22-2-44-4400000000000000000000000000000000000000000000000000000000000000000
χ14688-8-88-4-4-4-400-884-44-44-44-44-8444-4222004-4-22-22-224-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ14888-8-8-4-48-4-4004-44-4-884-44-4444-8422-4200-22-224-4-22-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1508-8-888-4-4-4-4008-8-44-44-44-444-8444-422200-442-22-22-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1518-8-88-48-4-4-400-448-8-44-44-4444-8442-422002-2-442-22-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-8-88-4-48-4-400-44-448-8-44-44444-8422-42002-22-2-442-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1538-8-88-4-4-48-400-44-44-448-8-444444-8222-4002-22-22-2-44-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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