Finite Group Databasebeta

← Group #13017267

Character table — Group #13017267

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111111111111111444444444444444444444444444455555555555555558888888888888888888888882020202020202020202020202020202020202020202020202020202020202020202020202020202020202020
order12222222444444444444588888888101010101010102020202020202020444444444444444420202020202020204040404040404040404040404040404044448888888888888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii
χ8111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i
χ91111111111111111-1-1-1-111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ111111111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ121111111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ131111111111111111-1-1-1-11-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ141111111111111111-1-1-1-11-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ151111111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ161111111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711111111-1-1-1-1-1-1-1-111-1-11ii−i−iii−i−i1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1
χ1811111111-1-1-1-1-1-1-1-111-1-11ii−i−iii−i−i1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111
χ1911111111-1-1-1-1-1-1-1-111-1-11ii−i−iii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ2011111111-1-1-1-1-1-1-1-111-1-11ii−i−iii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ2111111111-1-1-1-1-1-1-1-111-1-11−i−iii−i−iii1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111
χ2211111111-1-1-1-1-1-1-1-111-1-11−i−iii−i−iii1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1
χ2311111111-1-1-1-1-1-1-1-111-1-11−i−iii−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ2411111111-1-1-1-1-1-1-1-111-1-11−i−iii−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ2511111111-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-1-111
χ2611111111-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1
χ2711111111-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiii−i−i11-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ2811111111-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiii−i−i-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ2911111111-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1
χ3011111111-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-111
χ3111111111-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i−i−iii11-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ3211111111-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i−i−iii-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ332222-2-2-2-222-2-222-2-20000200002-22-2-2-2-2-222222-2-2-2-2222i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i000000000000000022-2-222-2-2000000002i−2i2i−2i00000000000000000000000000000000
χ342222-2-2-2-222-2-222-2-20000200002-22-2-2-2-2-222222-2-2-2-222−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i000000000000000022-2-222-2-200000000−2i2i−2i2i00000000000000000000000000000000
χ352222-2-2-2-222-2-222-2-2000020000-22-22-2-2-2-222222-2-2-2-2222i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i0000000000000000-2-222-2-22200000000−2i2i−2i2i00000000000000000000000000000000
χ362222-2-2-2-222-2-222-2-2000020000-22-22-2-2-2-222222-2-2-2-222−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i0000000000000000-2-222-2-222000000002i−2i2i−2i00000000000000000000000000000000
χ372222-2-2-2-2-2-222-2-2220000200002i−2i−2i2i-2-2-2-2222-2-22222-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i00000000-222-200000000000000000000000000000000
χ382222-2-2-2-2-2-222-2-2220000200002i−2i−2i2i-2-2-2-2222-2-22222-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i00000000000000002i2i−2i−2i−2i−2i2i2i000000002-2-2200000000000000000000000000000000
χ392222-2-2-2-2-2-222-2-222000020000−2i2i2i−2i-2-2-2-2222-2-22222-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000002-2-2200000000000000000000000000000000
χ402222-2-2-2-2-2-222-2-222000020000−2i2i2i−2i-2-2-2-2222-2-22222-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i00000000-222-200000000000000000000000000000000
χ4122-2-222-2-22222-2-2-2-2000020000000022-2-22-2-22222-2-2-2-2222222-2-222-2-2-2-2-2-200000000000000000000000000000000000000002-22-200002-22-20000000000000000
χ4222-2-222-2-22222-2-2-2-2000020000000022-2-22-2-22222-2-2-2-2222222-2-222-2-2-2-2-2-20000000000000000000000000000000000000000-22-220000-22-220000000000000000
χ4322-2-222-2-22222-2-2-2-2000020000000022-2-22-2-22222-2-2-2-2-2-2-2-2-2-222-2-222222200000000000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ4422-2-222-2-22222-2-2-2-2000020000000022-2-22-2-22222-2-2-2-2-2-2-2-2-2-222-2-22222220000000000000000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ4522-2-222-2-2-2-2-2-22222000020000000022-2-22-2-2-2-2-2-222222222-2-222-2-222-2-2-2-200000000000000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ4622-2-222-2-2-2-2-2-22222000020000000022-2-22-2-2-2-2-2-222222222-2-222-2-222-2-2-2-20000000000000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ4722-2-222-2-2-2-2-2-22222000020000000022-2-22-2-2-2-2-2-22222-2-2-2-222-2-222-2-2222200000000000000000000000000000000000000002-2-220000-222-20000000000000000
χ4822-2-222-2-2-2-2-2-22222000020000000022-2-22-2-2-2-2-2-22222-2-2-2-222-2-222-2-222220000000000000000000000000000000000000000-222-200002-2-220000000000000000
χ4922-2-2-2-22222-2-2-2-2220000200000000-2-2222-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000
χ5022-2-2-2-22222-2-2-2-2220000200000000-2-2222-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000
χ5122-2-2-2-22222-2-2-2-2220000200000000-2-2222-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000
χ5222-2-2-2-22222-2-2-2-2220000200000000-2-2222-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000
χ5322-2-2-2-222-2-22222-2-20000200000000-2-2222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000
χ5422-2-2-2-222-2-22222-2-20000200000000-2-2222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000
χ5522-2-2-2-222-2-22222-2-20000200000000-2-2222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000
χ5622-2-2-2-222-2-22222-2-20000200000000-2-2222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.