Finite Group Databasebeta

← Group #14295289

Character table — Group #14295289

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222244444444444444444444444444444444444444445555555588888888888888888888888888888888888810101010101010101010101020202020202020202020202020202020303030303030303030303030303030306060606060606060
order122222223444466666662244566661010101010101012121212121212121515303030303030303030303030303044444444101010102020202020202020303030303030303060606060606060606060606060606060444412121212121212124444121212121212121212121212888888888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ511111111111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ811111111111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ9111111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ10111111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ11111111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ12111111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ13111111111-1-1-1-11111111-1-1111-1-1-1-11111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ14111111111-1-1-1-11111111-1-1111-1-1-1-11111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ15111111111-1-1-1-11111111-1-1111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111-1-1-1-11111111-1-1111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ17111-1-1-1-111ii−i−i11-1-1-1-111-1i−i111-1-1111-1-1-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1111-1-1-1-1i−i1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-111-1-1i−ii−i1-11-1
χ18111-1-1-1-111ii−i−i11-1-1-1-111-1i−i111-1-1111-1-1-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1111-1-1-1-1i−i1-1ii−i−iii−i−i11-1-1−i−iii−i−iii-1-111-1-111−ii−ii-11-11
χ19111-1-1-1-111ii−i−i11-1-1-1-111-1i−i111-1-1111-1-1-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-1-1-11111−ii-11−i−iii−i−iii-1-11111-1-1-1-111−i−iiiii−i−i1-1-11−iii−i
χ20111-1-1-1-111ii−i−i11-1-1-1-111-1i−i111-1-1111-1-1-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-1-1-11111−ii-11−i−iii−i−iii-1-111-1-11111-1-1ii−i−i−i−iii-111-1i−i−ii
χ21111-1-1-1-111ii−i−i11-1-1-1-11-11−ii1-1-111111-1-1-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i1111-1-1-1-1−ii-11ii−i−i−i−iii-1-111ii−i−iii−i−i11-1-111-1-1−ii−ii-11-11
χ22111-1-1-1-111ii−i−i11-1-1-1-11-11−ii1-1-111111-1-1-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i1111-1-1-1-1−ii-11ii−i−i−i−iii-1-111−i−iii−i−iii-1-111-1-111i−ii−i1-11-1
χ23111-1-1-1-111ii−i−i11-1-1-1-11-11−ii1-1-111111-1-1-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-1-1-11111i−i1-1−i−iiiii−i−i11-1-111-1-1-1-111−i−iiiii−i−i-111-1i−i−ii
χ24111-1-1-1-111ii−i−i11-1-1-1-11-11−ii1-1-111111-1-1-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-1-1-11111i−i1-1−i−iiiii−i−i11-1-1-1-11111-1-1ii−i−i−i−iii1-1-11−iii−i
χ25111-1-1-1-111−i−iii11-1-1-1-111-1−ii111-1-1111-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1111-1-1-1-1−ii1-1−i−iii−i−iii11-1-1ii−i−iii−i−i-1-111-1-111i−ii−i-11-11
χ26111-1-1-1-111−i−iii11-1-1-1-111-1−ii111-1-1111-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1111-1-1-1-1−ii1-1−i−iii−i−iii11-1-1−i−iii−i−iii11-1-111-1-1−ii−ii1-11-1
χ27111-1-1-1-111−i−iii11-1-1-1-111-1−ii111-1-1111-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-1-1-11111i−i-11ii−i−iii−i−i-1-11111-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii
χ28111-1-1-1-111−i−iii11-1-1-1-111-1−ii111-1-1111-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-1-1-11111i−i-11ii−i−iii−i−i-1-111-1-11111-1-1−i−iiiii−i−i-111-1−iii−i
χ29111-1-1-1-111−i−iii11-1-1-1-11-11i−i1-1-111111-1-1-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii1111-1-1-1-1i−i-11−i−iiiii−i−i-1-111ii−i−iii−i−i-1-111-1-111−ii−ii1-11-1
χ30111-1-1-1-111−i−iii11-1-1-1-11-11i−i1-1-111111-1-1-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii1111-1-1-1-1i−i-11−i−iiiii−i−i-1-111−i−iii−i−iii11-1-111-1-1i−ii−i-11-11
χ31111-1-1-1-111−i−iii11-1-1-1-11-11i−i1-1-111111-1-1-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-1-1-11111−ii1-1ii−i−i−i−iii11-1-111-1-1-1-111ii−i−i−i−iii-111-1−iii−i
χ32111-1-1-1-111−i−iii11-1-1-1-11-11i−i1-1-111111-1-1-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-1-1-11111−ii1-1ii−i−i−i−iii11-1-1-1-11111-1-1−i−iiiii−i−i1-1-11i−i−ii
χ3322222222-12222-1-1-1-1-1-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3422222222-12222-1-1-1-1-1-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111111111000000000000000000000000
χ3522222222-12222-1-1-1-1-1-1-1-2-2-2-2211112222222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000000000000000
χ3622222222-12222-1-1-1-1-1-1-1-2-2-2-2211112222222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-21111111122221111-1-1-1-1-1-1-1-1000000000000000000000000
χ3722222222-1-2-2-2-2-1-1-1-1-1-1-122-2-22-1-1-1-1222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000000000000000
χ3822222222-1-2-2-2-2-1-1-1-1-1-1-122-2-22-1-1-1-1222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122221111111122-2-2-1-1-1-1-1-1-1-11111000000000000000000000000
χ3922222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2222111122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-122-2-21111-1-1-1-11111000000000000000000000000
χ4022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2222111122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1222211111111-2-222-1-1-1-11111-1-1-1-1000000000000000000000000
χ41222-2-2-2-22-12i2i−2i−2i-1-11111-12-22i−2i2-1-111222-2-2-2-2−i−iii−i−iii-1-1-1-1-1-1-1-11111111122-2-2-2-22222-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii2i2i−2i−2i-1-1-1-111112i−2i2-2−i−iii−i−iii-1-111000000000000000000000000
χ42222-2-2-2-22-12i2i−2i−2i-1-11111-12-22i−2i2-1-111222-2-2-2-2−i−iii−i−iii-1-1-1-1-1-1-1-111111111-2-22222-2-222-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−2i−2i2i2i1111-1-1-1-1−2i2i-22ii−i−iii−i−i11-1-1000000000000000000000000
χ43222-2-2-2-22-12i2i−2i−2i-1-11111-1-22−2i2i211-1-1222-2-2-2-2−i−iiiii−i−i-1-1-1-1-1-1-1-11111111122-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i2i2i−2i−2i-1-1-1-11111−2i2i-22−i−iiiii−i−i11-1-1000000000000000000000000
χ44222-2-2-2-22-12i2i−2i−2i-1-11111-1-22−2i2i211-1-1222-2-2-2-2−i−iiiii−i−i-1-1-1-1-1-1-1-111111111-2-22222-2-2-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−2i−2i2i2i1111-1-1-1-12i−2i2-2ii−i−i−i−iii-1-111000000000000000000000000
χ45222-2-2-2-22-1−2i−2i2i2i-1-11111-12-2−2i2i2-1-111222-2-2-2-2ii−i−iii−i−i-1-1-1-1-1-1-1-11111111122-2-2-2-22222-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−2i−2i2i2i-1-1-1-11111−2i2i2-2ii−i−iii−i−i-1-111000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.