Finite Group Databasebeta

← Group #14453993

Character table — Group #14453993

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222224444444444444444888888888888888888888888888812121212121212121616161616161616161620202020202020202020242424242424242424242424303040404040404040484860120120120
order12223445566610101010101022121215152020202030303030303046681010101012122424404040406060606012012012012012012012012024882020202020203030303060606060224488121212124410102020202040404040444661212242420202248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-11-1111111-1-1-1-1-1-1-111-1-111-1-1-11-11
χ61111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111111-1111111-1-1-1-1111-1-111-1-1-1-11-11-1
χ71111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1-1-1111111-111-1-111111-11-1
χ81111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-11-1-1-1-1-1-11111-1-11-1-111-1-111-11-11
χ9111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-11111-1111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1
χ10111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111
χ11111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111111-1-1-111111111-1-1-111-1-1-1-1-1-1-1-111
χ12111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-111111111111-1-11111-1-111-1-1
χ13111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-111-1
χ14111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-111-1-11-1-11
χ15111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-1111-1-11
χ16111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ172222222−1−52−1+52222−1−52−1+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+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+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+52000000000022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000−1−52−1+520000
χ182222222−1−52−1+52222−1−52−1+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+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+52-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000-2-21+521−521+521+521−521−521+521+521−521−520000000001+521−520000
χ192222222−1−52−1+52222−1−52−1+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+52-222-2−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000002-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000001+521−520000
χ202222222−1−52−1+52222−1−52−1+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+52-222-2−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000-221+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000−1−52−1+520000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−5222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000-22−1−52−1+521+521+521−521−521+521+521−521−52000000000−1−52−1+520000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−5222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000002-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000001+521−520000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-221+521+521−521−52-2-222−1−52−1−52−1+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+522222−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−520000000000-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000001+521−520000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-221+521+521−521−52-2-222−1−52−1−52−1+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+52-2-2-2-21+521+521−521−521+521−521+521+521−521−521+521+521−521−520000000000221+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000−1−52−1+520000
χ252222222−1+52−1−52222−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000−1+52−1−520000
χ262222222−1+52−1−52222−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000-2-21−521+521−521−521+521+521−521−521+521+520000000001−521+520000
χ272222222−1+52−1−52222−1+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+52−1−52-222-2−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000002-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000001−521+520000
χ282222222−1+52−1−52222−1+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+52−1−52-222-2−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000-221−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000−1+52−1−520000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+5222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000-22−1+52−1−521−521−521+521+521−521−521+521+52000000000−1+52−1−520000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+5222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000002-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000001−521+520000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-221−521−521+521+52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+520000000000-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000001−521+520000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-221−521−521+521+52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521+521−521−521+521+521−521−521+521+520000000000221−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000−1+52−1−520000
χ3322222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-2000000002-200-2-2-2-20000000000002-20022-2-200220000000022000000000-2000
χ3422222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-2000000002-200-2-2-2-2000000000000-2200-2-222002200000000-2-20000000002000
χ3522222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-200000000-220022220000000000002-20022-2-200-2-200000000-2-20000000002000
χ3622222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-200000000-22002222000000000000-2200-2-22200-2-20000000022000000000-2000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1-1-1222222-1-1-1-1000000000000002-1-1-1-1-1-1000000
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000000000-2111111000000
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-1-1-222221111-2-2-2-2-1-1-1-11111111100000000-2-2-1-1-1-1111122-2-222111100000000000000-2-1-111-1-1000000
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-1-1-222221111-2-2-2-2-1-1-1-11111111100000000-2-2-1-1-1-11111-2-222-2-2-1-1-1-100000000000000211-1-111000000
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1211-2-2-2-2-2-1-111-2-2-2-2-1-1-1-11111111100000000221111-1-1-1-12222-2-2-1-1-1-100000000000000-2-1-11111000000
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1211-2-2-2-2-2-1-111-2-2-2-2-1-1-1-11111111100000000221111-1-1-1-1-2-2-2-222111100000000000000211-1-1-1-1000000
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2112-2-2-2-211-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-21111111122-2-2-2-21111000000000000002-1-1-1-111000000
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2112-2-2-2-211-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-211111111-2-22222-1-1-1-100000000000000-21111-1-1000000
χ452-2-222-22222-2-2-2-2-2-2222-2-2222-2-222-2-222-2-202-202-22-20000000022-2-20000000000000000002-22-200002-2002-200000000000000000002-2002-2000000
χ462-2-222-22222-2-2-2-2-2-2222-2-2222-2-222-2-222-2-202-202-22-20000000022-2-20000000000000000002-22-20000-2200-220000000000000000000-2200-22000000
χ472-2-222-22222-2-2-2-2-2-222-22-2222-2-222-2-222-2-20-220-22-220000000022-2-2000000000000000000-22-2200002-200-2200000000000000000002-200-22000000
χ482-2-222-22222-2-2-2-2-2-222-22-2222-2-222-2-222-2-20-220-22-220000000022-2-2000000000000000000-22-220000-22002-20000000000000000000-22002-2000000
χ492-2-22-1-2222-111-2-2-2-2222-21-1-1-1-2-22211-1-1110-1102-22-23−33−30000-1-11133−3−333−3−30000000000-11-113−33−32-2002-23−33−3000000000000000-113−3-11000000
χ502-2-22-1-2222-111-2-2-2-2222-21-1-1-1-2-22211-1-1110-1102-22-23−33−30000-1-11133−3−333−3−30000000000-11-113−33−3-2200-22−33−330000000000000001-1−331-1000000
χ512-2-22-1-2222-111-2-2-2-2222-21-1-1-1-2-22211-1-1110-1102-22-2−33−330000-1-111−3−333−3−3330000000000-11-11−33−332-2002-2−33−33000000000000000-11−33-11000000
χ522-2-22-1-2222-111-2-2-2-2222-21-1-1-1-2-22211-1-1110-1102-22-2−33−330000-1-111−3−333−3−3330000000000-11-11−33−33-2200-223−33−30000000000000001-13−31-1000000
χ532-2-22-1-2222-111-2-2-2-222-221-1-1-1-2-22211-1-11101-10-22-223−3−330000-1-111−3−333−3−33300000000001-11-13−33−32-200-223−33−3000000000000000-11−331-1000000
χ542-2-22-1-2222-111-2-2-2-222-221-1-1-1-2-22211-1-11101-10-22-223−3−330000-1-111−3−333−3−33300000000001-11-13−33−3-22002-2−33−330000000000000001-13−3-11000000
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χ1178-8-88-48-8−2+25−2−25-4442−252+252−252+25−2+25−2−2500-441−51+5−2+25−2−252−252+25−1+5−1−51−51+5−1+5−1−50000000000000000−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.