Finite Group Databasebeta

← Group #12088522

Character table — Group #12088522

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222222244444444444444448888888888888888888888888888161616162020202020202020202020203232323232323232404080808080
order1222444444551010101010108888202020202020202020202020888840404040404040404040404040404040404040404040404022242444888888881010101010102020882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ61111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1
χ71111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ81111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ9111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111111111-1-1-1-111-1-111-1-1-1-11-11-1
χ10111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111-1-111-1-111-11-11
χ11111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-111-1-111-1-1-11-11
χ12111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-111-1-111111-11-1
χ13111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1111111-1-1-1-111-1-1-111-1
χ14111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11
χ15111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11111-1-1-1-11111-1-11111-1-1-1-11-1-11
χ16111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11111-1-1-1-1-1-11111-1-111-111-1
χ172222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−522222000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000
χ182222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-20000000000001−521+521−521+521−521+521−521+52000000
χ192222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000
χ202222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2220000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000
χ212222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-2000000000000−1+52−1−521−521+52−1+52−1−521−521+52000000
χ222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-220000000000001−521+52−1+52−1−521−521+52−1+52−1−52000000
χ232222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22000000000000−1+52−1−521−521+521−521+52−1+52−1−52000000
χ242222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-20000000000001−521+52−1+52−1−52−1+52−1−521−521+52000000
χ252222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000
χ262222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-20000000000001+521−521+521−521+521−521+521−52000000
χ272222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2000000000000−1−52−1+52−1−52−1+521+521−521+521−52000000
χ282222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2220000000000001+521−521+521−52−1−52−1+52−1−52−1+52000000
χ292222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-2000000000000−1−52−1+521+521−52−1−52−1+521+521−52000000
χ302222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-220000000000001+521−52−1−52−1+521+521−52−1−52−1+52000000
χ312222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22000000000000−1−52−1+521+521−521+521−52−1−52−1+52000000
χ322222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-20000000000001+521−52−1−52−1+52−1−52−1+521+521−52000000
χ33222222-2-2-2-2222222220000-2-2-2-2-2-2-2-22222002-2000000000000000022-2-222-2-2000022-2-2000022-2-200000000000000
χ34222222-2-2-2-2222222220000-2-2-2-2-2-2-2-22222002-2000000000000000022-2-222-2-20000-2-2220000-2-22200000000000000
χ35222222-2-2-2-2222222220000-2-2-2-2-2-2-2-2222200-220000000000000000-2-222-2-222000022-2-20000-2-22200000000000000
χ36222222-2-2-2-2222222220000-2-2-2-2-2-2-2-2222200-220000000000000000-2-222-2-2220000-2-222000022-2-200000000000000
χ372222-2-222-2-222222222000022-2-222-2-2-2-2-2-22-2000000000022-2-222-2-20000000000002-22-222-2-2000000000000000000
χ382222-2-222-2-222222222000022-2-222-2-2-2-2-2-22-2000000000022-2-222-2-2000000000000-22-22-2-222000000000000000000
χ392222-2-222-2-222222222000022-2-222-2-2-2-2-2-2-220000000000-2-222-2-2220000000000002-22-2-2-222000000000000000000
χ402222-2-222-2-222222222000022-2-222-2-2-2-2-2-2-220000000000-2-222-2-222000000000000-22-2222-2-2000000000000000000
χ412222-2-2-2-2222222222222-2-2-2-222-2-222-2-2-2-2000022-2-222-2-2000000000000000000002-2-2200000000000000002-20000
χ422222-2-2-2-2222222222222-2-2-2-222-2-222-2-2-2-2000022-2-222-2-200000000000000000000-222-20000000000000000-220000
χ432222-2-2-2-22222222222-2-222-2-222-2-222-2-2-2-20000-2-222-2-222000000000000000000002-2-220000000000000000-220000
χ442222-2-2-2-22222222222-2-222-2-222-2-222-2-2-2-20000-2-222-2-22200000000000000000000-222-200000000000000002-20000
χ45444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5004-40000000000000000−1+5−1+51−51−5−1−5−1−51+51+5000000000000000000000000000000
χ46444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−500-4400000000000000001−51−5−1+5−1+51+51+5−1−5−1−5000000000000000000000000000000
χ47444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5004-40000000000000000−1−5−1−51+51+5−1+5−1+51−51−5000000000000000000000000000000
χ48444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+500-4400000000000000001+51+5−1−5−1−51−51−5−1+5−1+5000000000000000000000000000000
χ494444-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000−1+5−1+51−51−5−1−5−1−51+51+51−51−51+51+54-40000000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000
χ504444-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000−1+5−1+51−51−5−1−5−1−51+51+51−51−51+51+5-4400000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000
χ514444-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−54-40000000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000
χ524444-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−5-4400000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000
χ534444-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-4-41−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+50000−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000000
χ544444-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4441−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+500001−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000
χ554444-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-4-41+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−50000−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000000
χ564444-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-4441+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−500001+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000
χ5744-4-44-4000044-4-4-4-44422−2222−22000000004-44-4000022−2222−2222−2222−220000000000000000000000000000000000000000000000
χ5844-4-44-4000044-4-4-4-444−2222−2222000000004-44-40000−2222−2222−2222−22220000000000000000000000000000000000000000000000
χ5944-4-44-40000−1+5−1−51−51−51+51+5−1+5−1−522−2222−2200000000−1+51−5−1−51+50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ392ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000
χ6044-4-44-40000−1+5−1−51−51−51+51+5−1+5−1−522−2222−2200000000−1+51−5−1−51+50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000
χ6144-4-44-40000−1+5−1−51−51−51+51+5−1+5−1−5−2222−222200000000−1+51−5−1−51+50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1).