Finite Group Databasebeta

← Group #14299554

Character table — Group #14299554

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222224444444444444555588888888888888888888101010101010101010101010121212122020202020202020202020202020202020202020202020202020202020242424242424242460606060120120120120
order122222344666666645101010121212122020202044441010152020303030303030306060606060606060224412121212121212128888266668888888824242424242424242424242424242424404040404040404088888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1i−ii−i
χ611111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−ii−ii
χ711111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−ii−ii
χ811111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111i−ii−i
χ91111-1-111111-1-1-1-11-1111111-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111-1-111111-1-1-1-11-1111111-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ111111-1-111111-1-1-1-11-1111111-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-111-1-111-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ121111-1-111111-1-1-1-11-1111111-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-111-1-111-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ131111-1-111111-1-1-1-11-1111111-1-11111-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-111-1-11-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111i−i−ii
χ141111-1-111111-1-1-1-11-1111111-1-11111-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-111-1-11-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−iii−i
χ151111-1-111111-1-1-1-11-1111111-1-11111-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1−iii−i
χ161111-1-111111-1-1-1-11-1111111-1-11111-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1i−i−ii
χ172222222-2-22222222-22222-2-2-2-2-2-2-2-22222222-2-22222222-2-2-2-2-2-2-2-2-2-222222222220000-2-2-2-2-20000000000000000000000000000000000000000
χ182222222-2-22222222-22222-2-2-2-2-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-20000222220000000000000000000000000000000000000000
χ19222222-122-1-1-1-1-1-1-122222-1-1-1-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222-122-1-1-1-1-1-1-122222-1-1-1-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222-122-1-1-1-1-1-1-122222-1-1-1-12222-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-211112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ22222222-122-1-1-1-1-1-1-122222-1-1-1-12222-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-21111−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ23222222-1-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2222222-1-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-1-1-1-1-10000-2111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ24222222-1-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2222222-1-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-1-1-1-1-10000-2111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ25222222-1-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-2-2-2-222-1-2-2-1-1-1-1-1-1-11111111122-2-21111111100002-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000000000
χ26222222-1-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-2-2-2-222-1-2-2-1-1-1-1-1-1-11111111122-2-21111111100002-1-1-1-100000000−3−333−3−33333−3−333−3−30000000000000000
χ272222-2-22-2-222-2-2-2-2222222-2-222-2-2-2-22222-2-222222-2-2-2-22-2-2-2-22222-2-2-2-222-2-2-2-22200002-2-2220000000000000000000000000000000000000000
χ282222-2-22-2-222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-222222-2-2-2-22-2-2-2-222222222-2-22222-2-20000-222-2-20000000000000000000000000000000000000000
χ292222-2-2-122-1-11111-1-22222-1-11122222222-2-2-1-2-2-1-11111-1-1-1-1-1111122-2-2-1-11111-1-10000-2-1-11122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ302222-2-2-122-1-11111-1-22222-1-11122222222-2-2-1-2-2-1-11111-1-1-1-1-1111122-2-2-1-11111-1-10000-2-1-111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ312222-2-2-122-1-11111-1-22222-1-1112222-2-2-2-2-2-2-1-2-2-1-11111-1-1-1-1-11111-2-22211-1-1-1-1110000211-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ322222-2-2-122-1-11111-1-22222-1-1112222-2-2-2-2-2-2-1-2-2-1-11111-1-1-1-1-11111-2-22211-1-1-1-1110000211-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ332222-2-2-1-2-2-1-11111-12222211-1-1-2-2-2-22222-2-2-122-1-11111-11111-1-1-1-1-2-2-2-2-1-11111-1-10000211-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ342222-2-2-1-2-2-1-11111-12222211-1-1-2-2-2-22222-2-2-122-1-11111-11111-1-1-1-1-2-2-2-2-1-11111-1-10000211-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ352222-2-2-1-2-2-1-11111-12222211-1-1-2-2-2-2-2-2-2-2-2-2-122-1-11111-11111-1-1-1-1222211-1-1-1-1110000-2-1-1110000000033−3−3−3−333−3−33333−3−30000000000000000
χ362222-2-2-1-2-2-1-11111-12222211-1-1-2-2-2-2-2-2-2-2-2-2-122-1-11111-11111-1-1-1-1222211-1-1-1-1110000-2-1-11100000000−3−33333−3−333−3−3−3−3330000000000000000
χ3722-2-22-22002-222-2-2-2022-2-2000000002i−2i2i−2i2-22002-222-2-2-200000000002i−2i2i−2i2i2i−2i−2i2i−2i−i2i2−i2i200000000000000000000000000000−i2−i2i2i2−i2−i2i2i22−22−20000
χ3822-2-22-22002-222-2-2-2022-2-2000000002i−2i2i−2i2-22002-222-2-2-200000000002i−2i2i−2i2i2i−2i−2i2i−2ii2−i2i2−i200000000000000000000000000000i2i2−i2−i2i2i2−i2−i2−22−220000
χ3922-2-22-22002-222-2-2-2022-2-200000000−2i2i−2i2i2-22002-222-2-2-20000000000−2i2i−2i2i−2i−2i2i2i−2i2i−i2i2−i2i200000000000000000000000000000−i2−i2i2i2−i2−i2i2i2−22−220000
χ4022-2-22-22002-222-2-2-2022-2-200000000−2i2i−2i2i2-22002-222-2-2-20000000000−2i2i−2i2i−2i−2i2i2i−2i2ii2−i2i2−i200000000000000000000000000000i2i2−i2−i2i2i2−i2−i22−22−20000
χ4122-2-2-222002-2-2-222-2022-2-2000000002i−2i2i−2i-222002-2-2-222-20000000000−2i2i2i−2i−2i−2i2i2i2i−2i−i2i2i2−i200000000000000000000000000000−i2−i2i2i2i2i2−i2−i22−2−220000
χ4222-2-2-222002-2-2-222-2022-2-2000000002i−2i2i−2i-222002-2-2-222-20000000000−2i2i2i−2i−2i−2i2i2i2i−2ii2−i2−i2i200000000000000000000000000000i2i2−i2−i2−i2−i2i2i2−222−20000
χ4322-2-2-222002-2-2-222-2022-2-200000000−2i2i−2i2i-222002-2-2-222-200000000002i−2i−2i2i2i2i−2i−2i−2i2i−i2i2i2−i200000000000000000000000000000−i2−i2i2i2i2i2−i2−i2−222−20000
χ4422-2-2-222002-2-2-222-2022-2-200000000−2i2i−2i2i-222002-2-2-222-200000000002i−2i−2i2i2i2i−2i−2i−2i2ii2−i2−i2i200000000000000000000000000000i2i2−i2−i2−i2−i2i2i22−2−220000
χ452-2-220022-2-2-20000202-2-222-20022-2-222-2-200200-2-20000222-2-200002-200220000-2-2000002-200002i−2i002i−2i00002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ462-2-220022-2-2-20000202-2-222-20022-2-222-2-200200-2-20000222-2-200002-200220000-2-2000002-20000−2i2i00−2i2i0000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ472-2-220022-2-2-20000202-2-222-20022-2-2-2-22200200-2-20000222-2-20000-2200-2-200002200000-2200002-200-2200002-22-20000-22-220000000000000000
χ482-2-220022-2-2-20000202-2-222-20022-2-2-2-22200200-2-20000222-2-20000-2200-2-200002200000-220000-22002-20000-22-2200002-22-20000000000000000
χ492-2-22002-22-2-20000202-2-22-2200-2-22222-2-200200-2-200002-2-2220000-2200220000-2-200000-22002i−2i002i−2i002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ502-2-22002-22-2-20000202-2-22-2200-2-22222-2-200200-2-200002-2-2220000-2200220000-2-200000-2200−2i2i00−2i2i00−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ512-2-22002-22-2-20000202-2-22-2200-2-222-2-22200200-2-200002-2-22200002-200-2-2000022000002-2002-200-22002-22-20000-22-2200000000000000000000
χ522-2-22002-22-2-20000202-2-22-2200-2-222-2-22200200-2-200002-2-22200002-200-2-2000022000002-200-22002-200-22-2200002-22-200000000000000000000
χ532-2-2200-12-211−i3i3−i3i3-102-2-22-11−i3i322-2-222-2-200-10011−i3i3−i3i3-1-1-111−i3−i3i3i32-200-1-1−i3i3−i3i31100000-11−i3i3002i−2i002i−2i3−3−33−ii−ii3−3−33−ii−ii0000000000000000
χ542-2-2200-12-211−i3i3−i3i3-102-2-22-11−i3i322-2-222-2-200-10011−i3i3−i3i3-1-1-111−i3−i3i3i32-200-1-1−i3i3−i3i31100000-11−i3i300−2i2i00−2i2i−333−3i−ii−i−333−3i−ii−i0000000000000000
χ552-2-2200-12-211−i3i3−i3i3-102-2-22-11−i3i322-2-2-2-22200-10011−i3i3−i3i3-1-1-111−i3−i3i3i3-220011i3−i3i3−i3-1-1000001-1i3−i3002-200-22−i3i3i3−i3-11-11i3−i3−i3i31-11-10000000000000000
χ562-2-2200-12-211−i3i3−i3i3-102-2-22-11−i3i322-2-2-2-22200-10011−i3i3−i3i3-1-1-111−i3−i3i3i3-220011i3−i3i3−i3-1-1000001-1i3−i300-22002-2i3−i3−i3i31-11-1−i3i3i3−i3-11-110000000000000000
χ572-2-2200-12-211i3−i3i3−i3-102-2-22-11i3−i322-2-222-2-200-10011i3−i3i3−i3-1-1-111i3i3−i3−i32-200-1-1i3−i3i3−i31100000-11i3−i3002i−2i002i−2i−333−3−ii−ii−333−3−ii−ii0000000000000000
χ582-2-2200-12-211i3−i3i3−i3-102-2-22-11i3−i322-2-222-2-200-10011i3−i3i3−i3-1-1-111i3i3−i3−i32-200-1-1i3−i3i3−i31100000-11i3−i300−2i2i00−2i2i3−3−33i−ii−i3−3−33i−ii−i0000000000000000
χ592-2-2200-12-211i3−i3i3−i3-102-2-22-11i3−i322-2-2-2-22200-10011i3−i3i3−i3-1-1-111i3i3−i3−i3-220011−i3i3−i3i3-1-1000001-1−i3i3002-200-22i3−i3−i3i3-11-11−i3i3i3−i31-11-10000000000000000
χ602-2-2200-12-211i3−i3i3−i3-102-2-22-11i3−i322-2-2-2-22200-10011i3−i3i3−i3-1-1-111i3i3−i3−i3-220011−i3i3−i3i3-1-1000001-1−i3i300-22002-2−i3i3i3−i31-11-1i3−i3−i3i3-11-110000000000000000
χ612-2-2200-1-2211−i3i3−i3i3-102-2-221-1i3−i3-2-22222-2-200-10011−i3i3−i3i3-111-1-1i3i3−i3−i3-2200-1-1−i3i3−i3i311000001-1i3−i32i−2i002i−2i00−ii−ii3−3−33−ii−ii3−3−330000000000000000
χ622-2-2200-1-2211−i3i3−i3i3-102-2-221-1i3−i3-2-22222-2-200-10011−i3i3−i3i3-111-1-1i3i3−i3−i3-2200-1-1−i3i3−i3i311000001-1i3−i3−2i2i00−2i2i00i−ii−i−333−3i−ii−i−333−30000000000000000
χ632-2-2200-1-2211−i3i3−i3i3-102-2-221-1i3−i3-2-222-2-22200-10011−i3i3−i3i3-111-1-1i3i3−i3−i32-20011i3−i3i3−i3-1-100000-11−i3i32-200-2200-11-11−i3i3i3−i31-11-1i3−i3−i3i30000000000000000
χ642-2-2200-1-2211−i3i3−i3i3-102-2-221-1i3−i3-2-222-2-22200-10011−i3i3−i3i3-111-1-1i3i3−i3−i32-20011i3−i3i3−i3-1-100000-11−i3i3-22002-2001-11-1i3−i3−i3i3-11-11−i3i3i3−i30000000000000000
χ652-2-2200-1-2211i3−i3i3−i3-102-2-221-1−i3i3-2-22222-2-200-10011i3−i3i3−i3-111-1-1−i3−i3i3i3-2200-1-1i3−i3i3−i311000001-1−i3i32i−2i002i−2i00−ii−ii−333−3−ii−ii−333−30000000000000000
χ662-2-2200-1-2211i3−i3i3−i3-102-2-221-1−i3i3-2-22222-2-200-10011i3−i3i3−i3-111-1-1−i3−i3i3i3-2200-1-1i3−i3i3−i311000001-1−i3i3−2i2i00−2i2i00i−ii−i3−3−33i−ii−i3−3−330000000000000000
χ672-2-2200-1-2211i3−i3i3−i3-102-2-221-1−i3i3-2-222-2-22200-10011i3−i3i3−i3-111-1-1−i3−i3i3i32-20011−i3i3−i3i3-1-100000-11i3−i32-200-2200-11-11i3−i3−i3i31-11-1−i3i3i3−i30000000000000000
χ682-2-2200-1-2211i3−i3i3−i3-102-2-221-1−i3i3-2-222-2-22200-10011i3−i3i3−i3-111-1-1−i3−i3i3i32-20011−i3i3−i3i3-1-100000-11i3−i3-22002-2001-11-1−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
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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
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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
χ1128-8-8800-48-8444i3−4i34i3−4i3-40-222-2-444i3−4i3-2-222000000100-1-1−i3i3−i3i3111-1-1−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000
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.