Finite Group Databasebeta

← Group #14299388

Character table — Group #14299388

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222224444444444444555588888888888888888888101010101010101010101010121212122020202020202020202020202020202020202020202020202020202020242424242424242460606060120120120120
order12222234466666664510101012121212202020202222101015202030303030303030606060606060606022446666666688884444444441212121212121212121212121212121212121212404040404040404088884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1i−ii−i
χ611111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−ii−ii
χ711111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−ii−ii
χ811111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111i−ii−i
χ91111-1-111111-1-1-1-11-1111111-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1111-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111-1-111111-1-1-1-11-1111111-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ111111-1-111111-1-1-1-11-1111111-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-11-1-111-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ121111-1-111111-1-1-1-11-1111111-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-11-1-111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ131111-1-111111-1-1-1-11-1111111-1-11111-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-11111-111-1-11ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111i−i−ii
χ141111-1-111111-1-1-1-11-1111111-1-11111-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-11111-111-1-11−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−iii−i
χ151111-1-111111-1-1-1-11-1111111-1-11111-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-11111-1-1-1111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1−iii−i
χ161111-1-111111-1-1-1-11-1111111-1-11111-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-11111-1-1-1111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1i−i−ii
χ172222222-2-22222222-22222-2-2-2-2-2-2-2-22222222-2-22222222-2-2-2-2-2-2-2-222-2-2222222220000-200000000-2-2-2-200000000000000000000000000000000
χ182222222-2-22222222-22222-2-2-2-2-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000200000000222200000000000000000000000000000000
χ19222222-122-1-1-1-1-1-1-122222-1-1-1-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222-122-1-1-1-1-1-1-122222-1-1-1-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ21222222-122-1-1-1-1-1-1-122222-1-1-1-12222-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-22i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ22222222-122-1-1-1-1-1-1-122222-1-1-1-12222-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ23222222-1-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2222222-1-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-1-1-1-1-10000-2000000001111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ24222222-1-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2222222-1-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-1-1-1-1-10000-2000000001111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ25222222-1-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111-2-222111111110000200000000-1-1-1-133−3−333−3−3−3−333−3−3330000000000000000
χ26222222-1-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111-2-222111111110000200000000-1-1-1-1−3−333−3−33333−3−333−3−30000000000000000
χ272222-2-22-2-222-2-2-2-2222222-2-222-2-2-2-22222-2-222222-2-2-2-22-2-2-2-22222-2-2-2-2222-2-2-2-220000200000000-2-22200000000000000000000000000000000
χ282222-2-22-2-222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-222222-2-2-2-22-2-2-2-222222222-2-2-22222-20000-20000000022-2-200000000000000000000000000000000
χ292222-2-2-122-1-11111-1-22222-1-11122222222-2-2-1-2-2-1-11111-1-1-1-1-11111-2-222-1-1-11111-10000-222-2-222-2-2-1-111-1-1-1-11111-1-1-1-111110000000000000000
χ302222-2-2-122-1-11111-1-22222-1-11122222222-2-2-1-2-2-1-11111-1-1-1-1-11111-2-222-1-1-11111-10000-2-2-222-2-222-1-1111111-1-1-1-11111-1-1-1-10000000000000000
χ312222-2-2-122-1-11111-1-22222-1-1112222-2-2-2-2-2-2-1-2-2-1-11111-1-1-1-1-1111122-2-2111-1-1-1-11000022i2i−2i−2i−2i−2i2i2i11-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ322222-2-2-122-1-11111-1-22222-1-1112222-2-2-2-2-2-2-1-2-2-1-11111-1-1-1-1-1111122-2-2111-1-1-1-1100002−2i−2i2i2i2i2i−2i−2i11-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ332222-2-2-1-2-2-1-11111-12222211-1-1-2-2-2-22222-2-2-122-1-11111-11111-1-1-1-1-2-2-2-2-1-1-11111-1000020000000011-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ342222-2-2-1-2-2-1-11111-12222211-1-1-2-2-2-22222-2-2-122-1-11111-11111-1-1-1-1-2-2-2-2-1-1-11111-1000020000000011-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ352222-2-2-1-2-2-1-11111-12222211-1-1-2-2-2-2-2-2-2-2-2-2-122-1-11111-11111-1-1-1-12222111-1-1-1-110000-200000000-1-11133−3−3−3−333−3−33333−3−30000000000000000
χ362222-2-2-1-2-2-1-11111-12222211-1-1-2-2-2-2-2-2-2-2-2-2-122-1-11111-11111-1-1-1-12222111-1-1-1-110000-200000000-1-111−3−33333−3−333−3−3−3−3330000000000000000
χ3722-2-22-22002-222-2-2-2022-2-20000000022-2-22-22002-222-2-2-2000000002-20022-222-2-2-22−22−20000000000000000000000000000022−2−222−2−22−22−20000
χ3822-2-22-22002-222-2-2-2022-2-20000000022-2-22-22002-222-2-2-2000000002-20022-222-2-2-2−22−2200000000000000000000000000000−2−222−2−222−22−220000
χ3922-2-22-22002-222-2-2-2022-2-200000000-2-2222-22002-222-2-2-200000000-2200-2-22-2-22222−22−20000000000000000000000000000022−2−222−2−2−22−220000
χ4022-2-22-22002-222-2-2-2022-2-200000000-2-2222-22002-222-2-2-200000000-2200-2-22-2-2222−22−2200000000000000000000000000000−2−222−2−2222−22−20000
χ4122-2-2-222002-2-2-222-2022-2-20000000022-2-2-222002-2-2-222-200000000-220022-2-2-222-22−2−220000000000000000000000000000022−2−2−2−2222−2−220000
χ4222-2-2-222002-2-2-222-2022-2-20000000022-2-2-222002-2-2-222-200000000-220022-2-2-222-2−222−200000000000000000000000000000−2−22222−2−2−222−20000
χ4322-2-2-222002-2-2-222-2022-2-200000000-2-222-222002-2-2-222-2000000002-200-2-2222-2-222−2−220000000000000000000000000000022−2−2−2−222−222−20000
χ4422-2-2-222002-2-2-222-2022-2-200000000-2-222-222002-2-2-222-2000000002-200-2-2222-2-22−222−200000000000000000000000000000−2−22222−2−22−2−220000
χ452-2-220022-2-2-20000202-2-222-20022-2-22-22-200200-2-20000222-2-20000002-22-220000-200000002i−2i002i−2i2-20000002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ462-2-220022-2-2-20000202-2-222-20022-2-22-22-200200-2-20000222-2-20000002-22-220000-20000000−2i2i00−2i2i2-2000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ472-2-220022-2-2-20000202-2-222-20022-2-2-22-2200200-2-20000222-2-2000000-22-22-20000200000002-200-22-220000002-22-20000-22-220000000000000000
χ482-2-220022-2-2-20000202-2-222-20022-2-2-22-2200200-2-20000222-2-2000000-22-22-2000020000000-22002-2-22000000-22-2200002-22-20000000000000000
χ492-2-22002-22-2-20000202-2-22-2200-2-2222-22-200200-2-200002-2-222000000-222-220000-2000002i−2i002i−2i00-22002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ502-2-22002-22-2-20000202-2-22-2200-2-2222-22-200200-2-200002-2-222000000-222-220000-200000−2i2i00−2i2i00-2200−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ512-2-22002-22-2-20000202-2-22-2200-2-222-22-2200200-2-200002-2-2220000002-2-22-200002000002-200-22002-2002-22-20000-22-2200000000000000000000
χ522-2-22002-22-2-20000202-2-22-2200-2-222-22-2200200-2-200002-2-2220000002-2-22-20000200000-22002-2002-200-22-2200002-22-200000000000000000000
χ532-2-2200-12-211−i3i3−i3i3-102-2-22-11−i3i322-2-22-22-200-10011−i3i3−i3i3-1-1-111−i3−i3i3i3002-2-11-1−i3i3−i3i3100000002i−2i002i−2i-11−i3i33−3−33−ii−ii3−3−33−ii−ii0000000000000000
χ542-2-2200-12-211−i3i3−i3i3-102-2-22-11−i3i322-2-22-22-200-10011−i3i3−i3i3-1-1-111−i3−i3i3i3002-2-11-1−i3i3−i3i310000000−2i2i00−2i2i-11−i3i3−333−3i−ii−i−333−3i−ii−i0000000000000000
χ552-2-2200-12-211−i3i3−i3i3-102-2-22-11−i3i322-2-2-22-2200-10011−i3i3−i3i3-1-1-111−i3−i3i3i300-221-11i3−i3i3−i3-100000002-200-221-1i3−i3−i3i3i3−i3-11-11i3−i3−i3i31-11-10000000000000000
χ562-2-2200-12-211−i3i3−i3i3-102-2-22-11−i3i322-2-2-22-2200-10011−i3i3−i3i3-1-1-111−i3−i3i3i300-221-11i3−i3i3−i3-10000000-22002-21-1i3−i3i3−i3−i3i31-11-1−i3i3i3−i3-11-110000000000000000
χ572-2-2200-12-211i3−i3i3−i3-102-2-22-11i3−i322-2-22-22-200-10011i3−i3i3−i3-1-1-111i3i3−i3−i3002-2-11-1i3−i3i3−i3100000002i−2i002i−2i-11i3−i3−333−3−ii−ii−333−3−ii−ii0000000000000000
χ582-2-2200-12-211i3−i3i3−i3-102-2-22-11i3−i322-2-22-22-200-10011i3−i3i3−i3-1-1-111i3i3−i3−i3002-2-11-1i3−i3i3−i310000000−2i2i00−2i2i-11i3−i33−3−33i−ii−i3−3−33i−ii−i0000000000000000
χ592-2-2200-12-211i3−i3i3−i3-102-2-22-11i3−i322-2-2-22-2200-10011i3−i3i3−i3-1-1-111i3i3−i3−i300-221-11−i3i3−i3i3-100000002-200-221-1−i3i3i3−i3−i3i3-11-11−i3i3i3−i31-11-10000000000000000
χ602-2-2200-12-211i3−i3i3−i3-102-2-22-11i3−i322-2-2-22-2200-10011i3−i3i3−i3-1-1-111i3i3−i3−i300-221-11−i3i3−i3i3-10000000-22002-21-1−i3i3−i3i3i3−i31-11-1i3−i3−i3i3-11-110000000000000000
χ612-2-2200-1-2211−i3i3−i3i3-102-2-221-1i3−i3-2-2222-22-200-10011−i3i3−i3i3-111-1-1i3i3−i3−i300-22-11-1−i3i3−i3i31000002i−2i002i−2i001-1i3−i3−ii−ii3−3−33−ii−ii3−3−330000000000000000
χ622-2-2200-1-2211−i3i3−i3i3-102-2-221-1i3−i3-2-2222-22-200-10011−i3i3−i3i3-111-1-1i3i3−i3−i300-22-11-1−i3i3−i3i3100000−2i2i00−2i2i001-1i3−i3i−ii−i−333−3i−ii−i−333−30000000000000000
χ632-2-2200-1-2211−i3i3−i3i3-102-2-221-1i3−i3-2-222-22-2200-10011−i3i3−i3i3-111-1-1i3i3−i3−i3002-21-11i3−i3i3−i3-1000002-200-2200-11−i3i3-11-11−i3i3i3−i31-11-1i3−i3−i3i30000000000000000
χ642-2-2200-1-2211−i3i3−i3i3-102-2-221-1i3−i3-2-222-22-2200-10011−i3i3−i3i3-111-1-1i3i3−i3−i3002-21-11i3−i3i3−i3-100000-22002-200-11−i3i31-11-1i3−i3−i3i3-11-11−i3i3i3−i30000000000000000
χ652-2-2200-1-2211i3−i3i3−i3-102-2-221-1−i3i3-2-2222-22-200-10011i3−i3i3−i3-111-1-1−i3−i3i3i300-22-11-1i3−i3i3−i31000002i−2i002i−2i001-1−i3i3−ii−ii−333−3−ii−ii−333−30000000000000000
χ662-2-2200-1-2211i3−i3i3−i3-102-2-221-1−i3i3-2-2222-22-200-10011i3−i3i3−i3-111-1-1−i3−i3i3i300-22-11-1i3−i3i3−i3100000−2i2i00−2i2i001-1−i3i3i−ii−i3−3−33i−ii−i3−3−330000000000000000
χ672-2-2200-1-2211i3−i3i3−i3-102-2-221-1−i3i3-2-222-22-2200-10011i3−i3i3−i3-111-1-1−i3−i3i3i3002-21-11−i3i3−i3i3-1000002-200-2200-11i3−i3-11-11i3−i3−i3i31-11-1−i3i3i3−i30000000000000000
χ682-2-2200-1-2211i3−i3i3−i3-102-2-221-1−i3i3-2-222-22-2200-10011i3−i3i3−i3-111-1-1−i3−i3i3i3002-21-11−i3i3−i3i3-100000-22002-200-11i3−i31-11-1−i3i3i3−i3-11-11i3−i3−i3i30000000000000000
χ6944444444444444444-1-1-1-14444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000444400000000000000000000000000000-1-1-1-1-1-1-1-100000000
χ7044444444444444444-1-1-1-14444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-4-4-4-4000000000000000000000000000001111111100000000
χ714444444-4-44444444-4-1-1-1-1-4-4-4-411110000-1-1-111-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000000−i5i5−i5i5−i5i5−i5i500000000
χ724444444-4-44444444-4-1-1-1-1-4-4-4-411110000-1-1-111-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000000i5−i5i5−i5i5−i5i5−i500000000
χ734444-4-444444-4-4-4-44-4-1-1-1-144-4-4-1-1-1-1000011-111-1-11111-1-1-1-1-1111100000000000044-4-400000000000000000000000000000-1-1-1-1111100000000
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χ754444-4-44-4-444-4-4-4-444-1-1-1-1-4-4441111000011-1-1-1-1-11111-11111-1-1-1-1000000000000000000000000000000000000000000000−i5i5−i5i5i5−i5i5−i500000000
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χ10288-8-8-88-400-4444-4-440-2-22200002i5−2i52i5−2i500002-21−2i52i51-1-1-111-1−i5i5−i5i5i5−i5i5−i50000000000000000000000000000000000000000000000000000000000000
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χ1058-88-800-4004-4−4i34i34i3−4i340-22-220000−2i52i52i5−2i5000000100-11i3−i3−i3i3-1i5−i5−i5i5−151515−150000000000000000000000000000000000000000000000000000000000000
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χ1098-8-880088-8-8-8000080-222-28-800-2-222000000-200220000-2-2-22200000000000000000000000000000000000000000000000000000000000000000
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χ1118-8-8800-48-844−4i34i3−4i34i3-40-222-2-44−4i34i3-2-222000000100-1-1i3−i3i3−i3111-1-1i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000
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χ1138-8-8800-4-8844−4i34i3−4i34i3-40-222-24-44i3−4i322-2-2000000100-1-1i3−i3i3−i31-1-111−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-88444i3−4i34i3−4i3-40-222-24-4−4i34i322-2-2000000100-1-1−i3i3−i3i31-1-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000

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