Finite Group Databasebeta

← Group #12150778

Character table — Group #12150778

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222222222222444444444444444444444488888888888888888888888888881010101016161616161616161616161616161616161620202020202040404040404040408080
order1222224444558888101010101010881010101020202020202020204040404040404040448888882020202020202020404040404040404040404040888844202020202020202040404040404040404444882224448822
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-111-111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111111111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11-1
χ10111111111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-11
χ11111111111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-11-1-1-11
χ12111111111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-11-1-11-1111-1
χ13111111111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-11-111-11
χ14111111111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-11-111-11-1-11-1
χ15111111111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-11111-1
χ16111111111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-111111111-1-111-111-1-1-1-11
χ172222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ182222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ202222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ212222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+5200002-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ222222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+520000-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-22222-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ242222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-222-2-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ252222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ262222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ272222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ282222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ292222222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ302222222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−520000-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ312222222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-22222-2-21+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ322222222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-222-2-2221+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ332222-2-22-2-2222000022222200-2-2-2-222-2-2-2-222000000002-20000002222-2-2-2-200000000000022220000000000000000000000-2-2-2002000000
χ342222-2-22-2-2222000022222200-2-2-2-222-2-2-2-222000000002-20000002222-2-2-2-2000000000000-2-2-2-2000000000000000000000022200-2000000
χ352222-2-22-2-2222000022222200-2-2-2-222-2-2-2-22200000000-22000000-2-2-2-2222200000000000022220000000000000000000000-2-2200-2000000
χ362222-2-22-2-2222000022222200-2-2-2-222-2-2-2-22200000000-22000000-2-2-2-22222000000000000-2-2-2-2000000000000000000000022-2002000000
χ372222-2-2-222-2222222222222-2-2-2-2-2-2-2-22222-2-2222222220000000000000000-2-2-2-20000000000000000000000000000000000000220-2-20000
χ382222-2-2-222-2222222222222-2-2-2-2-2-2-2-22222-2-2222222220000000000000000-2-2-2-20000000000000000000000000000000000000-2-20220000
χ392222-2-2-222-222-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000222200000000000000000000000000000000000002-20-220000
χ402222-2-2-222-222-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000022220000000000000000000000000000000000000-2202-20000
χ412-2-222-22-22-22222-2-22-22-2-2-22-22-22-2222-22-2-2-222-2-222-2-200000000000000002-22-2000000002i2i−2i−2i0000000000000000002i2i−2i−2i2i−2i0000000000
χ422-2-222-22-22-22222-2-22-22-2-2-22-22-22-2222-22-2-2-222-2-222-2-200000000000000002-22-200000000−2i−2i2i2i000000000000000000−2i−2i2i2i−2i2i0000000000
χ432-2-222-22-22-222-2-2222-22-2-2-2-222-22-2222-22-2-2-2-2-222-2-2220000000000000000-22-22000000002i2i−2i−2i000000000000000000−2i−2i2i2i2i−2i0000000000
χ442-2-222-22-22-222-2-2222-22-2-2-2-222-22-2222-22-2-2-2-2-222-2-2220000000000000000-22-2200000000−2i−2i2i2i0000000000000000002i2i−2i−2i−2i2i0000000000
χ452-2-22-2222-2-22200002-22-2-2-200-22-2222-22-22-2-200000000002-2000000000000000022-2-222-2-22i2i−2i−2i0000000000000000000000−2i2i0000002i−2i00
χ462-2-22-2222-2-22200002-22-2-2-200-22-2222-22-22-2-200000000002-2000000000000000022-2-222-2-2−2i−2i2i2i00000000000000000000002i−2i000000−2i2i00
χ472-2-22-2222-2-22200002-22-2-2-200-22-2222-22-22-2-20000000000-220000000000000000-2-222-2-2222i2i−2i−2i0000000000000000000000−2i2i000000−2i2i00
χ482-2-22-2222-2-22200002-22-2-2-200-22-2222-22-22-2-20000000000-220000000000000000-2-222-2-222−2i−2i2i2i00000000000000000000002i−2i0000002i−2i00
χ492-2-22-22-2-2222222-2-22-22-2-2-2-22-22-22-2-22-22-22222-2-222-2-200002-22-200000000-22-2200000000000000000000002-22-22-22-20000000000000000
χ502-2-22-22-2-2222222-2-22-22-2-2-2-22-22-22-2-22-22-22222-2-222-2-20000-22-2200000000-22-220000000000000000000000-22-22-22-220000000000000000
χ512-2-22-22-2-22222-2-2222-22-2-2-22-2-22-22-2-22-22-222-2-222-2-22200002-2-22000000002-22-200000000000000000000002-22-2-22-220000000000000000
χ522-2-22-22-2-22222-2-2222-22-2-2-22-2-22-22-2-22-22-222-2-222-2-2220000-222-2000000002-22-20000000000000000000000-22-222-22-20000000000000000
χ532-2-22-22-2-222−1+52−1−5222-2-2−1+521−52−1−521+521−521+52-221−52−1+521+52−1−521−521+52−1+521−52−1−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200002-22-2−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ141−52−1+521+52−1−52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14000000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−1+521−52−1−521+52−1+521−52−1−521+520000000000000000
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χ10588-8-8000000−2−25−2+2542−4242−422+25−2−252−25−2+252+252−25000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8000000−2−25−2+25−4242−42422+25−2−252−25−2+252+252−2500000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8000000−2+25−2−2542−42−42422−252−252+252+25−2+25−2−2500000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8000000−2+25−2−25−424242−422−252−252+252+25−2+25−2−25000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8000000−2−25−2+2542−42−42422+252+252−252−25−2−25−2+25000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8000000−2−25−2+25−424242−422+252+252−252−25−2−25−2+2500000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000000000000000000000

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