Finite Group Databasebeta

← Group #13020105

Character table — Group #13020105

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111224444448888881010101010101616161616161616161616203232404040404040404040404040404080808080
order12224444510101044202020204444444820202020204040404022020248888888888884888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-111111-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-1-1-1-1-111111111111-111-1-1ii−i−iiiii−i−i−i−i-1-1i−i
χ6111111111111111111-1-1-1-1-1-111111111111-111-1-1−i−iii−i−i−i−iiiii-1-1−ii
χ7111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1ii−i−i−i−i−i−iiiii11i−i
χ8111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1−i−iiiiiii−i−i−i−i11−ii
χ9111111111111-1-111111111111-11-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-11-1-1-1
χ10111111111111-1-111111111111-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1111-111
χ11111111111111-1-11111111111-111-1-1-1-111111-1-1-1-11111-1-111-1-111-11-1-1
χ12111111111111-1-11111111111-111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1111
χ13111111111111-1-11111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii-11−ii
χ14111111111111-1-11111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−i-11i−i
χ15111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-111ii−i−i−i−iiiii−i−i1-1−ii
χ16111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-111−i−iiiii−i−i−i−iii1-1i−i
χ17222222-2-222222-2-2-2222222-2-200-2-2-2220000-200-220000000000000000
χ18222222-2-222222-2-2-222-2-2-2-22200-2-2-22200002002-20000000000000000
χ19222222-2-22222-22-2-2222222-2-200-222-2-20000-2002-20000000000000000
χ20222222-2-22222-22-2-222-2-2-2-22200-222-2-20000200-220000000000000000
χ212222-2-22-222220022-2-222-2-2-2-200-200000000200000000002i−2i002i−2i0000
χ222222-2-22-222220022-2-222-2-2-2-200-20000000020000000000−2i2i00−2i2i0000
χ232222-2-22-222220022-2-2-2-2222200-200000000-200000000002-200-220000
χ242222-2-22-222220022-2-2-2-2222200-200000000-20000000000-22002-20000
χ252222-2-2-22222200-2-2-2-222-2-22200200000000-2000000002-2002-2000000
χ262222-2-2-22222200-2-2-2-222-2-22200200000000-200000000-2200-22000000
χ272222-2-2-22222200-2-2-2-2-2-222-2-2002000000002000000002i−2i00−2i2i000000
χ282222-2-2-22222200-2-2-2-2-2-222-2-200200000000200000000−2i2i002i−2i000000
χ2944444444-1-1-1-144-1-1-1-100000044-1-1-1-1-1-1-1-1-10-1-1000000000000000000
χ3044444444-1-1-1-144-1-1-1-1000000-4-4-1-1-1-1-11111011000000000000000000
χ3144444444-1-1-1-1-4-4-1-1-1-10000004-4-1111111110-1-1000000000000000000
χ3244444444-1-1-1-1-4-4-1-1-1-1000000-44-11111-1-1-1-1011000000000000000000
χ33444444-4-4-1-1-1-14-411-1-100000000111-1-155−5−505−5000000000000000000
χ34444444-4-4-1-1-1-14-411-1-100000000111-1-1−5−5550−55000000000000000000
χ35444444-4-4-1-1-1-1-4411-1-1000000001-1-11155−5−50−55000000000000000000
χ36444444-4-4-1-1-1-1-4411-1-1000000001-1-111−5−55505−5000000000000000000
χ3744-4-44-4004-4-440000-444i−4i4i−4i0000000000000000000000000000000000
χ3844-4-44-4004-4-440000-44−4i4i−4i4i0000000000000000000000000000000000
χ3944-4-4-44004-4-4400004-44i−4i−4i4i0000000000000000000000000000000000
χ4044-4-4-44004-4-4400004-4−4i4i4i−4i0000000000000000000000000000000000
χ414-4-4400004-44-400000000004i−4i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ424-4-4400004-44-400000000004i−4i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ434-4-4400004-44-40000000000−4i4i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ444-4-4400004-44-40000000000−4i4i00000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ458888-8-88-8-2-2-2-200-2-22200000000200000000000000000000000000000
χ468888-8-8-88-2-2-2-200222200000000-200000000000000000000000000000
χ4788-8-88-800-222-200002-20000000000025−250000000000000000000000000
χ4888-8-88-800-222-200002-200000000000−25250000000000000000000000000
χ4988-8-8-8800-222-20000-220000000002i5−2i5000000000000000000000000000
χ5088-8-8-8800-222-20000-22000000000−2i52i5000000000000000000000000000
χ518-88-8000088-8-800000000000000000000000000000000000000000000
χ528-88-80000-2-2220025−25000000000000000−ζ7−ζ13−ζ21+ζ23+ζ29+ζ31+ζ37−ζ39ζ7+ζ13+ζ21−ζ23−ζ29−ζ31−ζ37+ζ39ζ7+ζ13−ζ21−ζ23+ζ29+ζ31−ζ37−ζ39−ζ7−ζ13+ζ21+ζ23−ζ29−ζ31+ζ37+ζ39000000000000000000000
χ538-88-80000-2-2220025−25000000000000000ζ7+ζ13+ζ21−ζ23−ζ29−ζ31−ζ37+ζ39−ζ7−ζ13−ζ21+ζ23+ζ29+ζ31+ζ37−ζ39−ζ7−ζ13+ζ21+ζ23−ζ29−ζ31+ζ37+ζ39ζ7+ζ13−ζ21−ζ23+ζ29+ζ31−ζ37−ζ39000000000000000000000
χ548-88-80000-2-22200−2525000000000000000ζ7+ζ13−ζ21−ζ23+ζ29+ζ31−ζ37−ζ39−ζ7−ζ13+ζ21+ζ23−ζ29−ζ31+ζ37+ζ39ζ7+ζ13+ζ21−ζ23−ζ29−ζ31−ζ37+ζ39−ζ7−ζ13−ζ21+ζ23+ζ29+ζ31+ζ37−ζ39000000000000000000000
χ558-88-80000-2-22200−2525000000000000000−ζ7−ζ13+ζ21+ζ23−ζ29−ζ31+ζ37+ζ39ζ7+ζ13−ζ21−ζ23+ζ29+ζ31−ζ37−ζ39−ζ7−ζ13−ζ21+ζ23+ζ29+ζ31+ζ37−ζ39ζ7+ζ13+ζ21−ζ23−ζ29−ζ31−ζ37+ζ39000000000000000000000
χ5616-16-16160000-44-4400000000000000000000000000000000000000000000

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