Finite Group Databasebeta

← Group #14305053

Character table — Group #14305053

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444444444444455558888888888888888888888881010101010101010101016161616161616161616161620202020202030303030303030303030303030303030404040404040120120120120
order122234466688885101010121215152424242430303030303022224412121212202040404040606060601201201201201201201201204466668888202020206060606060606060121224242424444444448888888844121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1ii−i−i
χ611111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1−i−iii
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111−i−iii
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111ii−i−i
χ91111111111-1-1-1-111111111-1-1-1-111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-11-1
χ101111111111-1-1-1-111111111-1-1-1-111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-11-11
χ111111111111-1-1-1-111111111-1-1-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11-11
χ121111111111-1-1-1-111111111-1-1-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1111-11-1
χ131111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-1-111i−i−ii
χ141111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-1-111−iii−i
χ151111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1−iii−i
χ161111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1i−i−ii
χ1722222-2-222200002222-2-22200002222222222000000-2-20000-2-2-2-200000000-2-222220000000000000000-2-2000022-2-222-2-2000000000000000000
χ1822222-2-222200002222-2-22200002222222222000000-2-20000-2-2-2-200000000-2-222220000000000000000-2-20000-2-222-2-222000000000000000000
χ1922222-2-222200002222-2-2220000222222-2-2-2-2000000-2-20000-2-2-2-20000000022-2-2-2-200000000000000002200002i2i−2i−2i−2i−2i2i2i000000000000000000
χ2022222-2-222200002222-2-2220000222222-2-2-2-2000000-2-20000-2-2-2-20000000022-2-2-2-20000000000000000220000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ212222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-10000
χ222222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-10000000000000000-2-211110000
χ232222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-22222-1-1-1-1-1-1-1-11111110000000000000000-2-211110000
χ242222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-211111111111111000000000000000022-1-1-1-10000
χ252222-122-1-1-1-2-2-2-22222-1-1-1-11111-1-1-1-1-1-122222-2-1-11122-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2-2-222-2-2-1-1-1-11111-1-1111100000000000000002-2-1-1110000
χ262222-122-1-1-1-2-2-2-22222-1-1-1-11111-1-1-1-1-1-12222-2211-1-122-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2-2-2-2-2221111-1-1-1-1-1-111110000000000000000-2211-1-10000
χ272222-122-1-1-1-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-2-2-2-22-2-1-11122-2-2-2-2-1-1-1-111111111-2-21111222222-2-2-1-1-1-1111111-1-1-1-10000000000000000-2211-1-10000
χ282222-122-1-1-1-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-2211-1-122-2-2-2-2-1-1-1-111111111-2-211112222-2-2221111-1-1-1-111-1-1-1-100000000000000002-2-1-1110000
χ2922-2-222-22-2-2000022-2-22-222000022-2-2-2-222-2-20000002-2000022-2-200000000-2222-2-200000000000000002-200000000000022-2-222-2-20000000000
χ3022-2-222-22-2-2000022-2-22-222000022-2-2-2-222-2-20000002-2000022-2-200000000-2222-2-200000000000000002-2000000000000-2-222-2-2220000000000
χ3122-2-222-22-2-2000022-2-22-222000022-2-2-2-2-2-2220000002-2000022-2-2000000002-2-2-2220000000000000000-220000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ3222-2-222-22-2-2000022-2-22-222000022-2-2-2-2-2-2220000002-2000022-2-2000000002-2-2-2220000000000000000-22000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ3322-2-22-222-2-222-2-222-2-2-222222-2-222-2-2-2-222-2-2000000-2222-2-2-2-2222222-2-2-2-22-222-2-222-2-2000000000000-2222-2-200000000000000000000000000
χ3422-2-22-222-2-222-2-222-2-2-222222-2-222-2-2-2-2-2-222000000-2222-2-2-2-2222222-2-2-2-2-22-2-222-2-2220000000000002-2-2-22200000000000000000000000000
χ3522-2-22-222-2-2-2-22222-2-2-2222-2-22222-2-2-2-222-2-2000000-22-2-222-2-222-2-2-2-222222-222-2-2-2-222000000000000-22-2-22200000000000000000000000000
χ3622-2-22-222-2-2-2-22222-2-2-2222-2-22222-2-2-2-2-2-222000000-22-2-222-2-222-2-2-2-22222-22-2-22222-2-20000000000002-222-2-200000000000000000000000000
χ3722-2-2-1-22-11122-2-222-2-21-1-1-1-1-111-1-1111122-2-2003−33−3-2222-2-211-1-1-1-1-1-111112-2-1-11122-2-2000033−3−333−3−31-1-1-1110000000000000000003−33−30000
χ3822-2-2-1-22-11122-2-222-2-21-1-1-1-1-111-1-1111122-2-200−33−33-2222-2-211-1-1-1-1-1-111112-2-1-11122-2-20000−3−333−3−3331-1-1-111000000000000000000−33−330000
χ3922-2-2-1-22-11122-2-222-2-21-1-1-1-1-111-1-11111-2-222003−33−3-2222-2-211-1-1-1-1-1-11111-2211-1-1-2-222000033−3−333−3−3-1111-1-1000000000000000000−33−330000
χ4022-2-2-1-22-11122-2-222-2-21-1-1-1-1-111-1-11111-2-22200−33−33-2222-2-211-1-1-1-1-1-11111-2211-1-1-2-2220000−3−333−3−333-1111-1-10000000000000000003−33−30000
χ4122-2-2-1-22-111-2-22222-2-21-1-1-111-1-1-1-1111122-2-2003−3−33-22-2-22211-1-11111-1-1-1-12-2-1-111-2-222000033−3−3−3−3331-111-1-10000000000000000003−3−330000
χ4222-2-2-1-22-111-2-22222-2-21-1-1-111-1-1-1-1111122-2-200−333−3-22-2-22211-1-11111-1-1-1-12-2-1-111-2-2220000−3−33333−3−31-111-1-1000000000000000000−333−30000
χ4322-2-2-1-22-111-2-22222-2-21-1-1-111-1-1-1-11111-2-222003−3−33-22-2-22211-1-11111-1-1-1-1-2211-1-122-2-2000033−3−3−3−333-11-1-111000000000000000000−333−30000
χ4422-2-2-1-22-111-2-22222-2-21-1-1-111-1-1-1-11111-2-22200−333−3-22-2-22211-1-11111-1-1-1-1-2211-1-122-2-20000−3−33333−3−3-11-1-1110000000000000000003−3−330000
χ452-22-2200-22-2−i2i2−i2i22-22-20022−i2i2−i2i2-2-222-2-22-22-200000000−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i2002-22-2−i2i2−i2i200000000000000−i2i2−i2i2002i−2i002i−2i2−22−22−22−20000000000
χ462-22-2200-22-2−i2i2−i2i22-22-20022−i2i2−i2i2-2-222-2-22-22-200000000−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i2002-22-2−i2i2−i2i200000000000000−i2i2−i2i200−2i2i00−2i2i−22−22−22−220000000000
χ472-22-2200-22-2−i2i2−i2i22-22-20022−i2i2−i2i2-2-222-2-2-22-2200000000−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200-22-22i2−i2i2−i200000000000000i2−i2i2−i2002-200-22−i2i2−i2i2i2−i2i2−i20000000000
χ482-22-2200-22-2−i2i2−i2i22-22-20022−i2i2−i2i2-2-222-2-2-22-2200000000−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200-22-22i2−i2i2−i200000000000000i2−i2i2−i200-22002-2i2−i2i2−i2−i2i2−i2i20000000000
χ492-22-2200-22-2i2−i2i2−i22-22-20022i2−i2i2−i2-2-222-2-22-22-200000000i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i2002-22-2i2−i2i2−i200000000000000i2−i2i2−i2002i−2i002i−2i−22−22−22−220000000000
χ502-22-2200-22-2i2−i2i2−i22-22-20022i2−i2i2−i2-2-222-2-22-22-200000000i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i2002-22-2i2−i2i2−i200000000000000i2−i2i2−i200−2i2i00−2i2i2−22−22−22−20000000000
χ512-22-2200-22-2i2−i2i2−i22-22-20022i2−i2i2−i2-2-222-2-2-22-2200000000i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200-22-22−i2i2−i2i200000000000000−i2i2−i2i2002-200-22i2−i2i2−i2−i2i2−i2i20000000000
χ522-22-2200-22-2i2−i2i2−i22-22-20022i2−i2i2−i2-2-222-2-2-22-2200000000i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200-22-22−i2i2−i2i200000000000000−i2i2−i2i200-22002-2−i2i2−i2i2i2−i2i2−i20000000000
χ532-2-22200-2-22−i2i2i2−i22-2-220022−i2i2i2−i2-2-2-2-2222-2-2200000000−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2002-2-22−i2i2i2−i200000000000000−i2i2i2−i22i−2i002i−2i002−2−222−2−220000000000
χ542-2-22200-2-22−i2i2i2−i22-2-220022−i2i2i2−i2-2-2-2-2222-2-2200000000−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2002-2-22−i2i2i2−i200000000000000−i2i2i2−i2−2i2i00−2i2i00−222−2−222−20000000000
χ552-2-22200-2-22−i2i2i2−i22-2-220022−i2i2i2−i2-2-2-2-222-222-200000000−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i200-222-2i2−i2−i2i200000000000000i2−i2−i2i22-200-2200−i2i2i2−i2i2−i2−i2i20000000000
χ562-2-22200-2-22−i2i2i2−i22-2-220022−i2i2i2−i2-2-2-2-222-222-200000000−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i200-222-2i2−i2−i2i200000000000000i2−i2−i2i2-22002-200i2−i2−i2i2−i2i2i2−i20000000000
χ572-2-22200-2-22i2−i2−i2i22-2-220022i2−i2−i2i2-2-2-2-2222-2-2200000000i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2002-2-22i2−i2−i2i200000000000000i2−i2−i2i22i−2i002i−2i00−222−2−222−20000000000
χ582-2-22200-2-22i2−i2−i2i22-2-220022i2−i2−i2i2-2-2-2-2222-2-2200000000i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2002-2-22i2−i2−i2i200000000000000i2−i2−i2i2−2i2i00−2i2i002−2−222−2−220000000000
χ592-2-22200-2-22i2−i2−i2i22-2-220022i2−i2−i2i2-2-2-2-222-222-200000000i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i200-222-2−i2i2i2−i200000000000000−i2i2i2−i22-200-2200i2−i2−i2i2−i2i2i2−i20000000000
χ602-2-22200-2-22i2−i2−i2i22-2-220022i2−i2−i2i2-2-2-2-222-222-200000000i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i200-222-2−i2i2i2−i200000000000000−i2i2i2−i2-22002-200−i2i2i2−i2i2−i2−i2i20000000000
χ6144444444444444-1-1-1-144-1-14444-1-1-1-1-1-10000444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6244444444444444-1-1-1-144-1-14444-1-1-1-1-1-10000-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111111111100000000000000000000000000000000
χ634444444444-4-4-4-4-1-1-1-144-1-1-4-4-4-4-1-1-1-1-1-100004-444-4-4-1-11111-1-1-1-1111111110000000000-1-111-1-1-1-1111100000000000000000000000000000000
χ644444444444-4-4-4-4-1-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000-44-4-444-1-11111-1-1-1-111111111000000000011-1-11111-1-1-1-100000000000000000000000000000000
χ654444-244-2-2-24444-1-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i152000044-2-2-2-2-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000000000000000000000000
χ664444-244-2-2-24444-1-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1520000-4-42222-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000000000000
χ674444-244-2-2-24444-1-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i152000044-2-2-2-2-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000000000000000000000000
χ684444-244-2-2-24444-1-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1520000-4-42222-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.