Finite Group Databasebeta

← Group #13015492

Character table — Group #13015492

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222224444444455555555888888888888888810101010101010101010101010101010101010101010101010101010101010101010101010101010101010101616161616161616404040404040404040404040
order12222222444444444444510101010101010444444444444202020202020202020202020222244444444888888888888888888888888888888882020202020202020444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11111111-1-1-1-1−i−i−i−iiiii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i
χ9111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-111ii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-111−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-1-1−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−iii
χ171-1-1-1111-111-1-11111-1-1-1-11-1-1-1111-11111-1-1-1-1i−ii−i11-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ181-1-1-1111-111-1-11111-1-1-1-11-1-1-1111-11111-1-1-1-1i−ii−i11-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ191-1-1-1111-111-1-11111-1-1-1-11-1-1-1111-11111-1-1-1-1−ii−ii11-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ201-1-1-1111-111-1-11111-1-1-1-11-1-1-1111-11111-1-1-1-1−ii−ii11-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ211-1-1-1111-111-1-11111-1-1-1-11-1-1-1111-1-1-1-1-11111i−ii−i11-1-11111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−ii−ii-11-111-11-1
χ221-1-1-1111-111-1-11111-1-1-1-11-1-1-1111-1-1-1-1-11111i−ii−i11-1-11111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i−ii−ii1-11-1-11-11
χ231-1-1-1111-111-1-11111-1-1-1-11-1-1-1111-1-1-1-1-11111−ii−ii11-1-11111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iiii−ii−i1-11-1-11-11
χ241-1-1-1111-111-1-11111-1-1-1-11-1-1-1111-1-1-1-1-11111−ii−ii11-1-11111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiii−ii−i-11-111-11-1
χ251-1-1-1111-111-1-1-1-1-1-111111-1-1-1111-11111-1-1-1-1i−i−ii11-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiii−i−iii−i−iii−i−ii
χ261-1-1-1111-111-1-1-1-1-1-111111-1-1-1111-11111-1-1-1-1i−i−ii11-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iiii−i−ii−iii−i−iii−i
χ271-1-1-1111-111-1-1-1-1-1-111111-1-1-1111-11111-1-1-1-1−iii−i11-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−iii−i−iii−i−iii−i
χ281-1-1-1111-111-1-1-1-1-1-111111-1-1-1111-11111-1-1-1-1−iii−i11-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−iii−ii−i−iii−i−ii
χ291-1-1-1111-111-1-1-1-1-1-111111-1-1-1111-1-1-1-1-11111i−i−ii11-1-1-1-1-1-1111111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−iii−i-111-11-1-11
χ301-1-1-1111-111-1-1-1-1-1-111111-1-1-1111-1-1-1-1-11111i−i−ii11-1-1-1-1-1-1111111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−iii−i1-1-11-111-1
χ311-1-1-1111-111-1-1-1-1-1-111111-1-1-1111-1-1-1-1-11111−iii−i11-1-1-1-1-1-1111111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−ii−i−ii1-1-11-111-1
χ321-1-1-1111-111-1-1-1-1-1-111111-1-1-1111-1-1-1-1-11111−iii−i11-1-1-1-1-1-1111111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−ii−i−ii-111-11-1-11
χ3322222222-2-2-2-222-2-222-2-222222222222222220000-2-2-2-222-2-222-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ3422222222-2-2-2-222-2-222-2-222222222-2-2-2-2-2-2-2-20000-2-2-2-222-2-222-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000
χ3522222222-2-2-2-2-2-222-2-22222222222222222220000-2-2-2-2-2-222-2-222-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000
χ3622222222-2-2-2-2-2-222-2-22222222222-2-2-2-2-2-2-2-20000-2-2-2-2-2-222-2-222222222-2-2-2-2220000000000000000000000000000000000000000000000000000
χ37222-22-2-2-200002-2002-200222-22-2-2-222-2-222-2-2000000002-2002-2002-22-20000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−200000000000000000000
χ38222-22-2-2-200002-2002-200222-22-2-2-222-2-222-2-2000000002-2002-2002-22-200000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−22200000000000000000000
χ39222-22-2-2-200002-2002-200222-22-2-2-2-2-222-2-222000000002-2002-200-22-2200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000
χ40222-22-2-2-200002-2002-200222-22-2-2-2-2-222-2-222000000002-2002-200-22-2200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000
χ41222-22-2-2-20000-2200-2200222-22-2-2-222-2-222-2-200000000-2200-2200-22-220000000022−2−222−2−2−2−222−2−22222−2−222−2−2−2−222−2−22200000000000000000000
χ42222-22-2-2-20000-2200-2200222-22-2-2-222-2-222-2-200000000-2200-2200-22-2200000000−2−222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−200000000000000000000
χ43222-22-2-2-20000-2200-2200222-22-2-2-2-2-222-2-22200000000-2200-22002-22-200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000
χ44222-22-2-2-20000-2200-2200222-22-2-2-2-2-222-2-22200000000-2200-22002-22-200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000
χ4522-22-22-2-20000002-2002-222-2-2-22-222i−2i2i−2i2i−2i2i−2i00000000002-2002-20000002i−2i2i−2i001+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00000000000000000000
χ4622-22-22-2-20000002-2002-222-2-2-22-222i−2i2i−2i2i−2i2i−2i00000000002-2002-20000002i−2i2i−2i00−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00000000000000000000
χ4722-22-22-2-20000002-2002-222-2-2-22-22−2i2i−2i2i−2i2i−2i2i00000000002-2002-2000000−2i2i−2i2i001−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00000000000000000000
χ4822-22-22-2-20000002-2002-222-2-2-22-22−2i2i−2i2i−2i2i−2i2i00000000002-2002-2000000−2i2i−2i2i00−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00000000000000000000
χ4922-22-22-2-2000000-2200-2222-2-2-22-222i−2i2i−2i2i−2i2i−2i0000000000-2200-22000000−2i2i−2i2i001+i−1−i1+i−1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00000000000000000000
χ5022-22-22-2-2000000-2200-2222-2-2-22-222i−2i2i−2i2i−2i2i−2i0000000000-2200-22000000−2i2i−2i2i00−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00000000000000000000
χ5122-22-22-2-2000000-2200-2222-2-2-22-22−2i2i−2i2i−2i2i−2i2i0000000000-2200-220000002i−2i2i−2i001−i−1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00000000000000000000
χ5222-22-22-2-2000000-2200-2222-2-2-22-22−2i2i−2i2i−2i2i−2i2i0000000000-2200-220000002i−2i2i−2i00−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00000000000000000000
χ5322-2-2-2-2222-22-20000000022-22-2-22-22i−2i−2i2i2i−2i−2i2i00002-22-20000000000002i−2i00002i−2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000
χ5422-2-2-2-2222-22-20000000022-22-2-22-22i−2i−2i2i2i−2i−2i2i00002-22-20000000000002i−2i00002i−2i000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
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χ10988-8-8-8-8888-88-800000000-2-22-222-22000000000000-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-8-888-88-8800000000-2-22-222-220000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-888-8-88-88-8-8800000000-22-2222-2-2000000000000-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-888-8-88-8-888-800000000-22-2222-2-20000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-88-880000008-800-88-22-2-22-222000000000000000000-22002-20000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-88-88000000-88008-8-22-2-22-2220000000000000000002-200-220000000000000000000000000000000000000000000000000000000000000000
χ1158-8-888-8-8800008-800-8800-222-2-222-20000000000000000-22002-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-8-880000-88008-800-222-2-222-200000000000000002-200-22000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.