Finite Group Databasebeta

← Group #14297685

Character table — Group #14297685

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222244444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101020202020202020202020202020202020206060606060606060120120120120
order1222344446661212121244444510101012121212121212121212121215152020202030303030303060606060606060602222202020202020202020202020606060606060606060606060606060606060606060606060444466661212121244444121212121212121212121212888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−iii
χ811111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiii−i−i
χ911111-1-111111-1-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ1011111-1-111111-1-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ1111111-1-111111-1-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-111-1-111-1-1-1-11111ii−i−i−i−iiii−i−ii
χ1211111-1-111111-1-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-111-1-111-1-1-1-11111−i−iiiii−i−i−iii−i
χ1311111-1-111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ1411111-1-111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ1511111-1-111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1ii−i−i−i−iii−iii−i
χ1611111-1-111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1−i−iiiii−i−ii−i−ii
χ172222222-2-22222222-200002222-2-2-2-200000000222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-222222222-20000-2-2-2-200000000000000000000
χ182222222-2-22222222-200002222-2-2-2-20000000022222222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-222-2-2-2-2-2-2-2-220000222200000000000000000000
χ1922222-2-2-2-2222-2-2-2-2200002222-2-2220000000022-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-22200000000-2-2-2-222220000000000000000-2-2-2-22222-2-2-2-220000-2-22200000000000000000000
χ2022222-2-2-2-2222-2-2-2-2200002222-2-2220000000022-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-2-2-2222200000000000000002222-2-2-2-22222-2000022-2-200000000000000000000
χ212222-12222-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ222222-12222-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2-2111111111111000000000000
χ232222-12222-1-1-1-1-1-1-12-2-2-2-22222-1-1-1-111111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-111111111000000000000
χ242222-12222-1-1-1-1-1-1-12-2-2-2-22222-1-1-1-111111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-211111111-222221111-1-1-1-1-1-1-1-1000000000000
χ252222-122-2-2-1-1-1-1-1-1-1-2000022221111−i3−i3i3i3−i3−i3i3i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-2-2-1-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i3000000000000
χ262222-122-2-2-1-1-1-1-1-1-1-2000022221111−i3−i3i3i3−i3−i3i3i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2221111111120000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000
χ272222-122-2-2-1-1-1-1-1-1-1-2000022221111i3i3−i3−i3i3i3−i3−i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-2-2-1-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i3000000000000
χ282222-122-2-2-1-1-1-1-1-1-1-2000022221111i3i3−i3−i3i3i3−i3−i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2221111111120000-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000
χ292222-1-2-222-1-1-11111-222-2-22222-1-111-1-1-1-11111-1-1-2-2-2-2-1-1-1-1-1-111111111222222-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-222-1-1-1-11111-222-2-2-1-111-1-1-1-11111000000000000
χ302222-1-2-222-1-1-11111-222-2-22222-1-111-1-1-1-11111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-222-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-21111-1-1-1-12-2-22211-1-11111-1-1-1-1000000000000
χ312222-1-2-222-1-1-11111-2-2-2222222-1-1111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111222222-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-222-1-1-1-11111-2-2-222-1-1111111-1-1-1-1000000000000
χ322222-1-2-222-1-1-11111-2-2-2222222-1-1111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-222-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-21111-1-1-1-1222-2-211-1-1-1-1-1-11111000000000000
χ332222-1-2-2-2-2-1-1-1111120000222211-1-1−i3−i3i3i3i3i3−i3−i3-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2-2-2-2-1-1-1-111112000011-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ342222-1-2-2-2-2-1-1-1111120000222211-1-1−i3−i3i3i3i3i3−i3−i3-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i322221111-1-1-1-1-20000-1-111i3i3−i3−i3−i3−i3i3i3000000000000
χ352222-1-2-2-2-2-1-1-1111120000222211-1-1i3i3−i3−i3−i3−i3i3i3-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2-2-2-2-1-1-1-111112000011-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ362222-1-2-2-2-2-1-1-1111120000222211-1-1i3i3−i3−i3−i3−i3i3i3-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i322221111-1-1-1-1-20000-1-111−i3−i3i3i3i3i3−i3−i3000000000000
χ3722-2-222-2002-2-222-2-20000022-2-20000000000002222-2-222-2-2-2-22222-2-2-2-222-2-20000000000000000000000000000000000002-20022-2-222-2-2000000000000000002−22−22−22−20000
χ3822-2-222-2002-2-222-2-20000022-2-20000000000002222-2-222-2-2-2-22222-2-2-2-222-2-20000000000000000000000000000000000002-20022-2-222-2-200000000000000000−22−22−22−220000
χ3922-2-222-2002-2-222-2-20000022-2-20000000000002222-2-222-2-2-2-22222-2-2-2-2-2-222000000000000000000000000000000000000-2200-2-222-2-22200000000000000000−i2i2−i2i2i2−i2i2−i20000
χ4022-2-222-2002-2-222-2-20000022-2-20000000000002222-2-222-2-2-2-22222-2-2-2-2-2-222000000000000000000000000000000000000-2200-2-222-2-22200000000000000000i2−i2i2−i2−i2i2−i2i20000
χ4122-2-22-22002-2-2-2-2220000022-2-200000000000022-2-22222-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000000000000000-220022-2-2-2-222000000000000000002−2−222−2−220000
χ4222-2-22-22002-2-2-2-2220000022-2-200000000000022-2-22222-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000000000000000-220022-2-2-2-22200000000000000000−222−2−222−20000
χ4322-2-22-22002-2-2-2-2220000022-2-200000000000022-2-22222-2-2-2-2-2-2-2-22222-2-2220000000000000000000000000000000000002-200-2-22222-2-200000000000000000−i2i2i2−i2i2−i2−i2i20000
χ4422-2-22-22002-2-2-2-2220000022-2-200000000000022-2-22222-2-2-2-2-2-2-2-22222-2-2220000000000000000000000000000000000002-200-2-22222-2-200000000000000000i2−i2−i2i2−i2i2i2−i20000
χ452-22-22002-2-22-200000002i−2i2-22-22-20000002i−2i2i−2i220000-2-222-2-2000000002-22-22-20000002i2i−2i−2i22-2-20000000000002i2i−2i−2i2i2i−2i−2i00-222-22-200000002i−2i2-20000002i−2i2i−2i000000000000
χ462-22-22002-2-22-200000002i−2i2-22-22-20000002i−2i2i−2i220000-2-222-2-200000000-22-222-20000002i2i−2i−2i22-2-20000000000002i2i−2i−2i2i2i−2i−2i002-2-22-220000000−2i2i-22000000−2i2i−2i2i000000000000
χ472-22-22002-2-22-20000000−2i2i2-22-22-2000000−2i2i−2i2i220000-2-222-2-2000000002-22-22-2000000−2i−2i2i2i22-2-2000000000000−2i−2i2i2i−2i−2i2i2i00-222-22-20000000−2i2i2-2000000−2i2i−2i2i000000000000
χ482-22-22002-2-22-20000000−2i2i2-22-22-2000000−2i2i−2i2i220000-2-222-2-200000000-22-222-2000000−2i−2i2i2i22-2-2000000000000−2i−2i2i2i−2i−2i2i2i002-2-22-2200000002i−2i-220000002i−2i2i−2i000000000000
χ492-22-2200-22-22-2000002-2002-22-2-22002-22-20000220000-2-222-2-2000000002-22-2-220022-2-20000-2-222000022-2-222-2-200000000002-22-22-2000002-200-22002-22-20000000000000000
χ502-22-2200-22-22-2000002-2002-22-2-22002-22-20000220000-2-222-2-200000000-22-22-220022-2-20000-2-222000022-2-222-2-20000000000-22-22-2200000-22002-200-22-220000000000000000
χ512-22-2200-22-22-200000-22002-22-2-2200-22-220000220000-2-222-2-2000000002-22-2-2200-2-2220000-2-2220000-2-222-2-22200000000002-22-22-200000-2200-2200-22-220000000000000000
χ522-22-2200-22-22-200000-22002-22-2-2200-22-220000220000-2-222-2-200000000-22-22-2200-2-2220000-2-2220000-2-222-2-2220000000000-22-22-22000002-2002-2002-22-20000000000000000
χ532-22-2-1002-21-113−33−30002i−2i2-22-2-113−3−i3i3i3−i3−ii−ii-1-1000011-1-11133−3−333−3−32-22-22-20000002i2i−2i−2i-1-11133−3−3−i3−i3i3i3i3i3−i3−i3−i−iii−i−iii00-22-11-113−33−30002i−2i-113−3−i3i3i3−i3−ii−ii000000000000
χ542-22-2-1002-21-113−33−30002i−2i2-22-2-113−3−i3i3i3−i3−ii−ii-1-1000011-1-11133−3−333−3−3-22-222-20000002i2i−2i−2i-1-11133−3−3−i3−i3i3i3i3i3−i3−i3−i−iii−i−iii002-21-11-1−33−33000−2i2i1-1−33i3−i3−i3i3i−ii−i000000000000
χ552-22-2-1002-21-113−33−3000−2i2i2-22-2-113−3i3−i3−i3i3i−ii−i-1-1000011-1-11133−3−333−3−32-22-22-2000000−2i−2i2i2i-1-11133−3−3i3i3−i3−i3−i3−i3i3i3ii−i−iii−i−i00-22-11-113−33−3000−2i2i-113−3i3−i3−i3i3i−ii−i000000000000
χ562-22-2-1002-21-113−33−3000−2i2i2-22-2-113−3i3−i3−i3i3i−ii−i-1-1000011-1-11133−3−333−3−3-22-222-2000000−2i−2i2i2i-1-11133−3−3i3i3−i3−i3−i3−i3i3i3ii−i−iii−i−i002-21-11-1−33−330002i−2i1-1−33−i3i3i3−i3−ii−ii000000000000
χ572-22-2-1002-21-11−33−330002i−2i2-22-2-11−33i3−i3−i3i3−ii−ii-1-1000011-1-111−3−333−3−3332-22-22-20000002i2i−2i−2i-1-111−3−333i3i3−i3−i3−i3−i3i3i3−i−iii−i−iii00-22-11-11−33−330002i−2i-11−33i3−i3−i3i3−ii−ii000000000000
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χ13088-8-8-48-800-444-4-44400000-2-2220000000000001+i151−i15-2-2221+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13188-8-8-4-8800-44444-4-400000-2-2220000000000001−i151+i1522-2-21−i151+i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i151−i151+i151−i151+i15000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13288-8-8-4-8800-44444-4-400000-2-2220000000000001+i151−i1522-2-21+i151−i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i151+i151−i151+i151−i15000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-8880000-8-88000000000-222-2000000000000-2-2−2i52i52i5−2i52222-2-2−2i52i52i5−2i52i5−2i5−2i52i5000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-8880000-8-88000000000-222-2000000000000-2-22i5−2i5−2i52i52222-2-22i5−2i5−2i52i5−2i52i52i5−2i5000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-4000044-443−43−434300000-222-20000000000001−i151+i152i5−2i5−2i52i5−1+i15−1−i15−1+i15−1−i151−i151+i152ζ14−2ζ22+2ζ86−2ζ1182ζ38−2ζ46+2ζ62−2ζ94−2ζ14+2ζ22−2ζ86+2ζ118−2ζ38+2ζ46−2ζ62+2ζ94−2ζ14+2ζ22−2ζ86+2ζ118−2ζ38+2ζ46−2ζ62+2ζ942ζ14−2ζ22+2ζ86−2ζ1182ζ38−2ζ46+2ζ62−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8-88-4000044-443−43−434300000-222-20000000000001+i151−i15−2i52i52i5−2i5−1−i15−1+i15−1−i15−1+i151+i151−i152ζ38−2ζ46+2ζ62−2ζ942ζ14−2ζ22+2ζ86−2ζ118−2ζ38+2ζ46−2ζ62+2ζ94−2ζ14+2ζ22−2ζ86+2ζ118−2ζ38+2ζ46−2ζ62+2ζ94−2ζ14+2ζ22−2ζ86+2ζ1182ζ38−2ζ46+2ζ62−2ζ942ζ14−2ζ22+2ζ86−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4000044-4−434343−4300000-222-20000000000001−i151+i15−2i52i52i5−2i5−1+i15−1−i15−1+i15−1−i151−i151+i15−2ζ14+2ζ22−2ζ86+2ζ118−2ζ38+2ζ46−2ζ62+2ζ942ζ14−2ζ22+2ζ86−2ζ1182ζ38−2ζ46+2ζ62−2ζ942ζ14−2ζ22+2ζ86−2ζ1182ζ38−2ζ46+2ζ62−2ζ94−2ζ14+2ζ22−2ζ86+2ζ118−2ζ38+2ζ46−2ζ62+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4000044-4−434343−4300000-222-20000000000001+i151−i152i5−2i5−2i52i5−1−i15−1+i15−1−i15−1+i151+i151−i15−2ζ38+2ζ46−2ζ62+2ζ94−2ζ14+2ζ22−2ζ86+2ζ1182ζ38−2ζ46+2ζ62−2ζ942ζ14−2ζ22+2ζ86−2ζ1182ζ38−2ζ46+2ζ62−2ζ942ζ14−2ζ22+2ζ86−2ζ118−2ζ38+2ζ46−2ζ62+2ζ94−2ζ14+2ζ22−2ζ86+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000

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