Finite Group Databasebeta

← Group #14297138

Character table — Group #14297138

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112222244444444444444444444444444455888888888888888888888888888888888888888888888101010101020202020202020202020202020202020202020202060606060120120120120120120
order12222362224445666666666101212121212121515303022101010101010101010202020202020303030303030303030303030303030303030606060606060606060606060222662224446666666661212121212124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiii−i−i−i
χ41111111111111111111111111111111111-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−iiii
χ511111111-1-11-1-1111111-1-1-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-111-1-1-1-111111-1-11-1-1
χ611111111-1-11-1-1111111-1-1-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111
χ711111111-1-11-1-1111111-1-1-1-1111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-11111ii−i−ii−i−i−iii
χ811111111-1-11-1-1111111-1-1-1-1111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-11111−i−iii−iiii−i−i
χ91111111-11-1-11-11111-1-111-1-11-1-111-1-1111111111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-1111-1-111-1-1-1-111-1-11111-11-1-11-1
χ101111111-11-1-11-11111-1-111-1-11-1-111-1-1111111111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-1-1-11-111-11
χ111111111-11-1-11-11111-1-111-1-11-1-111-1-11111-1-1111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-111ii−i−i−ii−ii−ii
χ121111111-11-1-11-11111-1-111-1-11-1-111-1-11111-1-1111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-111−i−iiii−ii−ii−i
χ131111111-1-11-1-111111-1-1-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-111-1-1-1-1111111-1-11-1-11
χ141111111-1-11-1-111111-1-1-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-111-1
χ151111111-1-11-1-111111-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1ii−i−i−i−iiii−i
χ161111111-1-11-1-111111-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1−i−iiiii−i−i−ii
χ1722222-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1822222-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-2222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2-2-2-2-21111111111111110000000000
χ1922222-1-12-2-22-2-22-1-1-1-1-111112-1-11111-1-1-1-12222222-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000000000
χ2022222-1-12-2-22-2-22-1-1-1-1-111112-1-11111-1-1-1-1-2-222222-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-211-222-22211111-1-1-1-111-1-1-1-10000000000
χ2122222-1-1-22-2-22-22-1-1-111-1-111211-1-111-1-1-1-122222-2-222-2-2-2-222-2-2-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000000000
χ2222222-1-1-22-2-22-22-1-1-111-1-111211-1-111-1-1-1-1-2-2222-2-222-2-2-2-222-2-2-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-2-2-2112-222-22111-1-111-1-1-1-111-1-10000000000
χ2322222-1-1-2-22-2-222-1-1-11111-1-121111-1-1-1-1-1-122222-2-2-2-222-2-2-2-222-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000000000
χ2422222-1-1-2-22-2-222-1-1-11111-1-121111-1-1-1-1-1-1-2-2222-2-2-2-222-2-2-2-222-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-2-2-21122-222-2111-1-1-1-111-1-1-1-1110000000000
χ25222-2-22200200-222-2-200002220000-2-22222222-2-20000220000-2-222-2-2-2-200000000222200000000-2-2-2-22-2-22200200-22-2-20000220000-2-20000000000
χ26222-2-22200200-222-2-200002220000-2-22222-2-22-2-20000220000-2-222-2-2-2-200000000222200000000-2-2-2-2-222-2-200-2002-2220000-2-20000220000000000
χ27222-2-22200-200222-2-20000-2-220000222222222-2-20000-2-200002222-2-2-2-200000000-2-2-2-20000000022222-2-22200-20022-2-20000-2-20000220000000000
χ28222-2-22200-200222-2-20000-2-220000222222-2-22-2-20000-2-200002222-2-2-2-200000000-2-2-2-2000000002222-222-2-200200-2-2220000220000-2-20000000000
χ29222-2-2-1-100200-22-111−i3i3−i3i3-1-12−i3i3−i3i311-1-1-1-1222-2-20000220000-2-2-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-1-1−i3−i3i3i3−i3−i3i3i311112-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i3110000000000
χ30222-2-2-1-100200-22-111−i3i3−i3i3-1-12−i3i3−i3i311-1-1-1-1-2-22-2-20000220000-2-2-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-1-1−i3−i3i3i3−i3−i3i3i31111-2221100-20021-1-1i3−i3i3−i311i3−i3i3−i3-1-10000000000
χ31222-2-2-1-100200-22-111i3−i3i3−i3-1-12i3−i3i3−i311-1-1-1-1222-2-20000220000-2-2-1-11111i3i3−i3−i3i3i3−i3−i3-1-1-1-1i3i3−i3−i3i3i3−i3−i311112-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i3110000000000
χ32222-2-2-1-100200-22-111i3−i3i3−i3-1-12i3−i3i3−i311-1-1-1-1-2-22-2-20000220000-2-2-1-11111i3i3−i3−i3i3i3−i3−i3-1-1-1-1i3i3−i3−i3i3i3−i3−i31111-2221100-20021-1-1−i3i3−i3i311−i3i3−i3i3-1-10000000000
χ33222-2-2-1-100-20022-111−i3i3i3−i3112−i3i3i3−i3-1-1-1-1-1-1222-2-20000-2-2000022-1-11111−i3−i3i3i3i3i3−i3−i31111−i3−i3i3i3i3i3−i3−i3-1-1-1-12-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-10000000000
χ34222-2-2-1-100-20022-111−i3i3i3−i3112−i3i3i3−i3-1-1-1-1-1-1-2-22-2-20000-2-2000022-1-11111−i3−i3i3i3i3i3−i3−i31111−i3−i3i3i3i3i3−i3−i3-1-1-1-1-2221100200-21-1-1i3−i3−i3i3-1-1i3−i3−i3i3110000000000
χ35222-2-2-1-100-20022-111i3−i3−i3i3112i3−i3−i3i3-1-1-1-1-1-1222-2-20000-2-2000022-1-11111i3i3−i3−i3−i3−i3i3i31111i3i3−i3−i3−i3−i3i3i3-1-1-1-12-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-10000000000
χ36222-2-2-1-100-20022-111i3−i3−i3i3112i3−i3−i3i3-1-1-1-1-1-1-2-22-2-20000-2-2000022-1-11111i3i3−i3−i3−i3−i3i3i31111i3i3−i3−i3−i3−i3i3i3-1-1-1-1-2221100200-21-1-1−i3i3i3−i3-1-1−i3i3i3−i3110000000000
χ3722-22-2220200-202-22-2002200200-2-200222222-22-200220000-2-200-2-222-2-20000222200000000-2-2-2-20000-22-2220200-20-22-200220000-2-2000000000000
χ3822-22-2220200-202-22-2002200200-2-2002222-2-2-22-200220000-2-200-2-222-2-20000222200000000-2-2-2-200002-22-2-20-200202-2200-2-2000022000000000000
χ3922-22-2220-200202-22-200-2-2002002200222222-22-200-2-200002200-2-222-2-20000-2-2-2-20000000022220000-22-2220-20020-22-200-2-2000022000000000000
χ4022-22-2220-200202-22-200-2-20020022002222-2-2-22-200-2-200002200-2-222-2-20000-2-2-2-200000000222200002-22-2-20200-202-2200220000-2-2000000000000
χ4122-22-2-1-10200-2021-11−i3i3-1-1−i3i32i3−i311−i3i3-1-1-1-122-22-200220000-2-20011-1-111−i3−i3i3i3-1-1-1-1−i3−i3i3i3i3i3−i3−i31111−i3−i3i3i3-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i30000000000
χ4222-22-2-1-10200-2021-11−i3i3-1-1−i3i32i3−i311−i3i3-1-1-1-1-2-2-22-200220000-2-20011-1-111−i3−i3i3i3-1-1-1-1−i3−i3i3i3i3i3−i3−i31111−i3−i3i3i32-22110-20020-11-1i3−i311i3−i3−i3i3-1-1i3−i30000000000
χ4322-22-2-1-10200-2021-11i3−i3-1-1i3−i32−i3i311i3−i3-1-1-1-122-22-200220000-2-20011-1-111i3i3−i3−i3-1-1-1-1i3i3−i3−i3−i3−i3i3i31111i3i3−i3−i3-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i30000000000
χ4422-22-2-1-10200-2021-11i3−i3-1-1i3−i32−i3i311i3−i3-1-1-1-1-2-2-22-200220000-2-20011-1-111i3i3−i3−i3-1-1-1-1i3i3−i3−i3−i3−i3i3i31111i3i3−i3−i32-22110-20020-11-1−i3i311−i3i3i3−i3-1-1−i3i30000000000
χ4522-22-2-1-10-2002021-11−i3i311i3−i32i3−i3-1-1i3−i3-1-1-1-122-22-200-2-20000220011-1-111−i3−i3i3i31111i3i3−i3−i3i3i3−i3−i3-1-1-1-1i3i3−i3−i3-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i30000000000
χ4622-22-2-1-10-2002021-11−i3i311i3−i32i3−i3-1-1i3−i3-1-1-1-1-2-2-22-200-2-20000220011-1-111−i3−i3i3i31111i3i3−i3−i3i3i3−i3−i3-1-1-1-1i3i3−i3−i32-22110200-20-11-1i3−i3-1-1−i3i3−i3i311−i3i30000000000
χ4722-22-2-1-10-2002021-11i3−i311−i3i32−i3i3-1-1−i3i3-1-1-1-122-22-200-2-20000220011-1-111i3i3−i3−i31111−i3−i3i3i3−i3−i3i3i3-1-1-1-1−i3−i3i3i3-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i30000000000
χ4822-22-2-1-10-2002021-11i3−i311−i3i32−i3i3-1-1−i3i3-1-1-1-1-2-2-22-200-2-20000220011-1-111i3i3−i3−i31111−i3−i3i3i3−i3−i3i3i3-1-1-1-1−i3−i3i3i32-22110200-20-11-1−i3i3-1-1i3−i3i3−i311i3−i30000000000
χ4922-2-2222200-2002-2-222200002-2-20000222222-2-22220000-2-20000-2-2-2-222222200000000-2-2-2-200000000-2-2222200-200-2-22220000-2-200000000000000
χ5022-2-2222200-2002-2-222200002-2-200002222-2-2-2-22220000-2-20000-2-2-2-222222200000000-2-2-2-20000000022-2-2-2-20020022-2-2-200002200000000000000
χ5122-2-2222-2002002-2-22-2-200002220000222222-2-22-2-20000220000-2-2-2-222-2-2-2-200000000222200000000-2-2222-200200-2-22-2-200002200000000000000
χ5222-2-2222-2002002-2-22-2-2000022200002222-2-2-2-22-2-20000220000-2-2-2-222-2-2-2-20000000022220000000022-2-2-2200-20022-2220000-2-200000000000000
χ5322-2-22-1-1200-200211-1-1-1−i3i3−i3i3211i3−i3i3−i3-1-1-1-122-2-22220000-2-200001111-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i31111i3i3−i3−i3i3i3−i3−i3-2-22-1-1200-20011-1-1-1−i3i3−i3i311i3−i3i3−i30000000000
χ5422-2-22-1-1200-200211-1-1-1−i3i3−i3i3211i3−i3i3−i3-1-1-1-1-2-2-2-22220000-2-200001111-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i31111i3i3−i3−i3i3i3−i3−i322-211-200200-1-1111i3−i3i3−i3-1-1−i3i3−i3i30000000000
χ5522-2-22-1-1200-200211-1-1-1i3−i3i3−i3211−i3i3−i3i3-1-1-1-122-2-22220000-2-200001111-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i31111−i3−i3i3i3−i3−i3i3i3-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i30000000000
χ5622-2-22-1-1200-200211-1-1-1i3−i3i3−i3211−i3i3−i3i3-1-1-1-1-2-2-2-22220000-2-200001111-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i31111−i3−i3i3i3−i3−i3i3i322-211-200200-1-1111−i3i3−i3i3-1-1i3−i3i3−i30000000000
χ5722-2-22-1-1-200200211-111−i3i3i3−i32-1-1i3−i3−i3i3-1-1-1-122-2-22-2-200002200001111-1-11111−i3−i3i3i3i3i3−i3−i3-1-1-1-1i3i3−i3−i3−i3−i3i3i3-2-22-1-1-20020011-111−i3i3i3−i3-1-1i3−i3−i3i30000000000
χ5822-2-22-1-1-200200211-111−i3i3i3−i32-1-1i3−i3−i3i3-1-1-1-1-2-2-2-22-2-200002200001111-1-11111−i3−i3i3i3i3i3−i3−i3-1-1-1-1i3i3−i3−i3−i3−i3i3i322-211200-200-1-11-1-1i3−i3−i3i311−i3i3i3−i30000000000
χ5922-2-22-1-1-200200211-111i3−i3−i3i32-1-1−i3i3i3−i3-1-1-1-122-2-22-2-200002200001111-1-11111i3i3−i3−i3−i3−i3i3i3-1-1-1-1−i3−i3i3i3i3i3−i3−i3-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i30000000000
χ6022-2-22-1-1-200200211-111i3−i3−i3i32-1-1−i3i3i3−i3-1-1-1-1-2-2-2-22-2-200002200001111-1-11111i3i3−i3−i3−i3−i3i3i3-1-1-1-1−i3−i3i3i3i3i3−i3−i322-211200-200-1-11-1-1−i3i3i3−i311i3−i3−i3i30000000000
χ614444444444444-1444444444-1444444-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ6244444444-4-44-4-4-144444-4-4-4-4-144-4-4-4-4-1-1-1-100-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111000000000000000000000000000000000000
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χ1094-40004-40000004000000000-400000044-4-44-40000000000000000000000000000000000000000000000004-40000000000000000000002i−2i2i−2i000000
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χ1124-40004-40000004000000000-400000044-4-4-44000000000000000000000000000000000000000000000000-44000000000000000000000-222-2000000
χ1138-8000-440000008000000000-8000000-4-4448-8000000000000000000000000000000000000000000000000-440000000000000000000000000000000
χ1148-8000-440000008000000000-8000000-4-444-880000000000000000000000000000000000000000000000004-40000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.