Finite Group Databasebeta

← Group #14297021

Character table — Group #14297021

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222244444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101020202020202020202020202020202020206060606060606060120120120120
order12222234466666664444451010101010101012121212121212121212121215153030303030303030303030303030222220202020202020202020202060606060606060606060606060606060606060606060606022446666666644444121212121212121212121212888888884444
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
χ511111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−iii
χ811111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiii−i−i
χ91111-1-111111-1-1-1-11-111-1-1111-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111-1-111111-1-1-1-11-111-1-1111-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111-1-111111-1-1-1-11-111-1-1111-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-111-1-111-1-1-1-11111ii−i−i−i−iiii−i−ii
χ121111-1-111111-1-1-1-11-111-1-1111-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-111-1-111-1-1-1-11111−i−iiiii−i−i−iii−i
χ131111-1-111111-1-1-1-11-1-1-111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ141111-1-111111-1-1-1-11-1-1-111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ151111-1-111111-1-1-1-11-1-1-111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1ii−i−i−i−iii−iii−i
χ161111-1-111111-1-1-1-11-1-1-111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1−i−iiiii−i−ii−i−ii
χ172222222-2-22222222-2000022222222-2-2-2-20000000022222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-222222222-20000-2-2-2-200000000000000000000
χ182222222-2-22222222-2000022222222-2-2-2-2000000002222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-222-2-2-2-2-2-2-2-220000222200000000000000000000
χ19222222-122-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ20222222-122-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2-2111111111111000000000000
χ21222222-122-1-1-1-1-1-1-12-2-2-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-111111111000000000000
χ22222222-122-1-1-1-1-1-1-12-2-2-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-211111111-222221111-1-1-1-1-1-1-1-1000000000000
χ23222222-1-2-2-1-1-1-1-1-1-1-20000222222221111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-2-2-1-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i3000000000000
χ24222222-1-2-2-1-1-1-1-1-1-1-20000222222221111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2221111111120000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000
χ25222222-1-2-2-1-1-1-1-1-1-1-20000222222221111i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-2-2-1-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i3000000000000
χ26222222-1-2-2-1-1-1-1-1-1-1-20000222222221111i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2221111111120000-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000
χ272222-2-22-2-222-2-2-2-2220000222-2-2-2-22-2-22200000000222222-2-2-2-2-2-2-2-2222222-2-22200000000-2-2-2-222220000000000000000-2-2-2-22222-2-2-2-220000-2-22200000000000000000000
χ282222-2-22-2-222-2-2-2-2220000222-2-2-2-22-2-22200000000222222-2-2-2-2-2-2-2-222-2-2-2-2-2-22200000000-2-2-2-2222200000000000000002222-2-2-2-22222-2000022-2-200000000000000000000
χ292222-2-2-122-1-11111-1-222-2-2222-2-2-2-22-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1222222-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-222-1-1-1-11111-222-2-2-1-111-1-1-1-11111000000000000
χ302222-2-2-122-1-11111-1-222-2-2222-2-2-2-22-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-2-2-2-222-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-21111-1-1-1-12-2-22211-1-11111-1-1-1-1000000000000
χ312222-2-2-122-1-11111-1-2-2-222222-2-2-2-22-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1222222-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-222-1-1-1-11111-2-2-222-1-1111111-1-1-1-1000000000000
χ322222-2-2-122-1-11111-1-2-2-222222-2-2-2-22-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-2-2-2-222-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-21111-1-1-1-1222-2-211-1-1-1-1-1-11111000000000000
χ332222-2-2-1-2-2-1-11111-120000222-2-2-2-2211-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-1-1-111111111-1-12222-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2-2-2-2-1-1-1-111112000011-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ342222-2-2-1-2-2-1-11111-120000222-2-2-2-2211-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-1-1-111111111-1-1-2-2-2-2-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i322221111-1-1-1-1-20000-1-111i3i3−i3−i3−i3−i3i3i3000000000000
χ352222-2-2-1-2-2-1-11111-120000222-2-2-2-2211-1-1i3i3−i3−i3−i3−i3i3i3-1-1-1-1-1-111111111-1-12222-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2-2-2-2-1-1-1-111112000011-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ362222-2-2-1-2-2-1-11111-120000222-2-2-2-2211-1-1i3i3−i3−i3−i3−i3i3i3-1-1-1-1-1-111111111-1-1-2-2-2-2-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i322221111-1-1-1-1-20000-1-111−i3−i3i3i3i3i3−i3−i3000000000000
χ3722-2-22-22002-222-2-2-20000022-222-2-2-20000000000002222-2-22222-2-2-2-2-2-222-2-20000000000000000000000000000000000002-20022-2-222-2-2000000000000000002−22−22−22−20000
χ3822-2-22-22002-222-2-2-20000022-222-2-2-20000000000002222-2-22222-2-2-2-2-2-222-2-20000000000000000000000000000000000002-20022-2-222-2-200000000000000000−22−22−22−220000
χ3922-2-22-22002-222-2-2-20000022-222-2-2-20000000000002222-2-22222-2-2-2-2-2-2-2-222000000000000000000000000000000000000-2200-2-222-2-22200000000000000000−i2i2−i2i2i2−i2i2−i20000
χ4022-2-22-22002-222-2-2-20000022-222-2-2-20000000000002222-2-22222-2-2-2-2-2-2-2-222000000000000000000000000000000000000-2200-2-222-2-22200000000000000000i2−i2i2−i2−i2i2−i2i20000
χ4122-2-2-222002-2-2-222-20000022-2-2-222-20000000000002222-2-2-2-2-2-22222-2-222-2-2000000000000000000000000000000000000-220022-2-2-2-222000000000000000002−2−222−2−220000
χ4222-2-2-222002-2-2-222-20000022-2-2-222-20000000000002222-2-2-2-2-2-22222-2-222-2-2000000000000000000000000000000000000-220022-2-2-2-22200000000000000000−222−2−222−20000
χ4322-2-2-222002-2-2-222-20000022-2-2-222-20000000000002222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000000000002-200-2-22222-2-200000000000000000−i2i2i2−i2i2−i2−i2i20000
χ4422-2-2-222002-2-2-222-20000022-2-2-222-20000000000002222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000000000002-200-2-22222-2-200000000000000000i2−i2−i2i2−i2i2i2−i20000
χ452-2-220022-2-2-2000020002-22-2-2000022-20000002-22-222-2-2-2-200000000222-22-22-200000022-2-222-2-200000000000022-2-222-2-2002-22-22-200000002-22-20000002-22-2000000000000
χ462-2-220022-2-2-2000020002-22-2-2000022-20000002-22-222-2-2-2-20000000022-22-222-200000022-2-222-2-200000000000022-2-222-2-200-22-22-220000000-22-22000000-22-22000000000000
χ472-2-220022-2-2-200002000-222-2-2000022-2000000-22-2222-2-2-2-200000000222-22-22-2000000-2-22222-2-2000000000000-2-222-2-222002-22-22-20000000-222-2000000-22-22000000000000
χ482-2-220022-2-2-200002000-222-2-2000022-2000000-22-2222-2-2-2-20000000022-22-222-2000000-2-22222-2-2000000000000-2-222-2-22200-22-22-2200000002-2-220000002-22-2000000000000
χ492-2-22002-22-2-20000202-2002-2-200002-22002-22-2000022-2-2-2-200000000222-22-2-220022-2-20000-2-222000022-2-222-2-20000000000-222-22-2000002-200-22002-22-20000000000000000
χ502-2-22002-22-2-20000202-2002-2-200002-22002-22-2000022-2-2-2-20000000022-22-22-220022-2-20000-2-222000022-2-222-2-200000000002-2-22-2200000-22002-200-22-220000000000000000
χ512-2-22002-22-2-2000020-22002-2-200002-2200-22-22000022-2-2-2-200000000222-22-2-2200-2-2220000-2-2220000-2-222-2-2220000000000-222-22-200000-2200-2200-22-220000000000000000
χ522-2-22002-22-2-2000020-22002-2-200002-2200-22-22000022-2-2-2-20000000022-22-22-2200-2-2220000-2-2220000-2-222-2-22200000000002-2-22-22000002-2002-2002-22-20000000000000000
χ532-2-2200-12-211−i3i3−i3i3-10002-22-2-200002-11−i3i3−i3i3i3−i3-11-11-1-11111−i3−i3i3i3−i3−i3i3i3-1-12-22-22-200000022-2-2-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3-1-111-1-111002-2-11-11−i3i3−i3i30002-2-11−i3i3−i3i3i3−i3-11-11000000000000
χ542-2-2200-12-211−i3i3−i3i3-10002-22-2-200002-11−i3i3−i3i3i3−i3-11-11-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-22-222-200000022-2-2-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3-1-111-1-11100-221-11-1i3−i3i3−i3000-221-1i3−i3i3−i3−i3i31-11-1000000000000
χ552-2-2200-12-211−i3i3−i3i3-1000-222-2-200002-11−i3i3i3−i3−i3i31-11-1-1-11111−i3−i3i3i3−i3−i3i3i3-1-12-22-22-2000000-2-222-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i311-1-111-1-1002-2-11-11−i3i3−i3i3000-22-11−i3i3i3−i3−i3i31-11-1000000000000
χ562-2-2200-12-211−i3i3−i3i3-1000-222-2-200002-11−i3i3i3−i3−i3i31-11-1-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-22-222-2000000-2-222-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i311-1-111-1-100-221-11-1i3−i3i3−i30002-21-1i3−i3−i3i3i3−i3-11-11000000000000
χ572-2-2200-12-211i3−i3i3−i3-10002-22-2-200002-11i3−i3i3−i3−i3i3-11-11-1-11111i3i3−i3−i3i3i3−i3−i3-1-12-22-22-200000022-2-2-1-111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3-1-111-1-111002-2-11-11i3−i3i3−i30002-2-11i3−i3i3−i3−i3i3-11-11000000000000
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χ1348-88-800800-880000-800000-22-225−25−25252000000000000-2-222-2-225−25−2525−252525−2522000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-88-800-4004-4−4i34i34i3−4i3400000-22-2−252525−2520000000000001+i151−i15−1−i15−1+i151+i151−i152ζ4−2ζ68+2ζ76−2ζ922ζ28−2ζ44+2ζ52−2ζ116−2ζ4+2ζ68−2ζ76+2ζ92−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ92−2ζ28+2ζ44−2ζ52+2ζ1162ζ4−2ζ68+2ζ76−2ζ922ζ28−2ζ44+2ζ52−2ζ116−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-88-800-4004-4−4i34i34i3−4i3400000-22-225−25−252520000000000001−i151+i15−1+i15−1−i151−i151+i152ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ92−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ92−1+i15−1−i15000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-800-4004-44i3−4i3−4i34i3400000-22-2−252525−2520000000000001−i151+i15−1+i15−1−i151−i151+i15−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ922ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ92−1+i15−1−i15000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-88-800-4004-44i3−4i3−4i34i3400000-22-225−25−252520000000000001+i151−i15−1−i15−1+i151+i151−i15−2ζ4+2ζ68−2ζ76+2ζ92−2ζ28+2ζ44−2ζ52+2ζ1162ζ4−2ζ68+2ζ76−2ζ922ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ922ζ28−2ζ44+2ζ52−2ζ116−2ζ4+2ζ68−2ζ76+2ζ92−2ζ28+2ζ44−2ζ52+2ζ116−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000000000000000000000000

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