Finite Group Databasebeta

← Group #14327352

Character table — Group #14327352

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222224444444444444444444444444444444444444445555888888888888888888888888888888888888101010101010101010101010101010102020202020202020202020202020203030303030303030606060606060606060606060
order12222234444446661212121224456666101010121212121212121215152020202030303030303060606060606060602222101010102020202020202020303030303030303060606060606060606060606060606060224444446666121212122446666121212121212121244444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii
χ511111111111-1-1111-1-1-1-1-1-1-1111-1-111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ611111111111-1-1111-1-1-1-1-1-1-1111-1-111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11
χ711111111111-1-1111-1-1-1-1-1-1-1111-1-111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ811111111111-1-1111-1-1-1-1-1-1-1111-1-111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ91111111-1-1-1-1111111111-1-11111-1-1111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ101111111-1-1-1-1111111111-1-11111-1-1111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ111111111-1-1-1-1111111111-1-11111-1-1111-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i
χ121111111-1-1-1-1111111111-1-11111-1-1111-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii
χ131111111-1-1-1-1-1-1111-1-1-1-111-111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1
χ141111111-1-1-1-1-1-1111-1-1-1-111-111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-11-11
χ151111111-1-1-1-1-1-1111-1-1-1-111-111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1-1-111-1-11111ii−i−i−i−iii−i−iiiii−i−ii−i−ii
χ161111111-1-1-1-1-1-1111-1-1-1-111-111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1-1-111-1-11111−i−iiiii−i−iii−i−i−i−iii−iii−i
χ171111-1-1111-1-1111111111-11-11-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-1-1-11111-1-1-1-1111111111-11-11-11-1-1-1-1-1
χ181111-1-1111-1-1111111111-11-11-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111111
χ191111-1-1111-1-1111111111-11-11-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111iiii−i−i−i−ii−ii−i−ii−ii−i−iii
χ201111-1-1111-1-1111111111-11-11-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111−i−i−i−iiiii−ii−iii−ii−iii−i−i
χ211111-1-1111-1-1-1-1111-1-1-1-11-111-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1-11111-1-1-1-11111-1-111-1-11-1-111-1-11-11-11
χ221111-1-1111-1-1-1-1111-1-1-1-11-111-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1-11111-1-1-1-111-1-111-1-111-111-1-111-11-11-1
χ231111-1-1111-1-1-1-1111-1-1-1-11-111-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-11-111-1-1-1-11111-1-1ii−i−i−i−iiii−i−ii−iii−i−iii−i
χ241111-1-1111-1-1-1-1111-1-1-1-11-111-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-11-111-1-1-1-11111-1-1−i−iiiii−i−i−iii−ii−i−iii−i−ii
χ251111-1-11-1-1111111111111-1-11-1-111111-1-1-1-111-1-1111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-111-1-111111111-11-11-11-11-1-1-1-1
χ261111-1-11-1-1111111111111-1-11-1-111111-1-1-1-111-1-1111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-11-11-11111
χ271111-1-11-1-1111111111111-1-11-1-111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111iiii−i−i−i−i−ii−iii−ii−i−i−iii
χ281111-1-11-1-1111111111111-1-11-1-111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111−i−i−i−iiiiii−ii−i−ii−iiii−i−i
χ291111-1-11-1-111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-111-1-111-1-11-11
χ301111-1-11-1-111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1111-1-111-1-111-11-1
χ311111-1-11-1-111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-1ii−i−i−i−iii−iii−ii−i−ii−iii−i
χ321111-1-11-1-111-1-1111-1-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-1−i−iiiii−i−ii−i−ii−iii−ii−i−ii
χ33222222-1222222-1-1-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ34222222-1222222-1-1-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-211111111111100000000000000000000
χ35222222-12222-2-2-1-1-11111-2-2-22-1-111222-1-111-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111222222-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111222222-2-2-1-1-1-11111-2-2-2-1-111-1-111-1-11100000000000000000000
χ36222222-12222-2-2-1-1-11111-2-2-22-1-111222-1-111-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-222-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-2-2-2-2-2221111-1-1-1-122211-1-111-1-111-1-100000000000000000000
χ37222222-1-2-2-2-222-1-1-1-1-1-1-1-2-222-1-111222111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-222-1-1-1-11111111111111111-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-1-2-22-1-111111111-1-100000000000000000000
χ38222222-1-2-2-2-222-1-1-1-1-1-1-1-2-222-1-111222111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-2-222-1-1-1-11111111111111111-1-1-1-1-2-22222-2-21111111122-211-1-1-1-1-1-1-1-11100000000000000000000
χ39222222-1-2-2-2-2-2-2-1-1-1111122-22-1-1-1-122211-1-11111-1-1-2-2-2-2-1-1-1-1-1-11111111122222222-2-222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-11111111122-2-2-2-2-2-2-1-1-1-1111122-2-1-1-1-111-1-1111100000000000000000000
χ40222222-1-2-2-2-2-2-2-1-1-1111122-22-1-1-1-122211-1-11111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-22222-2-222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111-2-22222221111-1-1-1-1-2-221111-1-111-1-1-1-100000000000000000000
χ412222-2-2-122-2-222-1-1-1-1-1-1-1-22-221111222-1-1-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-222-1-1-1-1-1-1-1-1-22-21111-1-1-1-1111100000000000000000000
χ422222-2-2-122-2-222-1-1-1-1-1-1-1-22-221111222-1-1-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-222-2-2111111112-22-1-1-1-11111-1-1-1-100000000000000000000
χ432222-2-2-122-2-2-2-2-1-1-111112-22211-1-1222-1-11111-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-222-2-2-2-2-1-1-1-111112-2211-1-1-1-11111-1-100000000000000000000
χ442222-2-2-122-2-2-2-2-1-1-111112-22211-1-1222-1-11111-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-222221111-1-1-1-1-22-2-1-11111-1-1-1-11100000000000000000000
χ452222-2-2-1-2-22222-1-1-1-1-1-1-12-2-2211-1-12221111-1-111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-222-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-12-2-211-1-11111-1-11100000000000000000000
χ462222-2-2-1-2-22222-1-1-1-1-1-1-12-2-2211-1-12221111-1-111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-111112222-2-2-2-211111111-222-1-111-1-1-1-111-1-100000000000000000000
χ472222-2-2-1-2-222-2-2-1-1-11111-2222111122211-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-2-2-2-2-2222222111111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-1-1-11111-222111111-1-1-1-1-1-100000000000000000000
χ482222-2-2-1-2-222-2-2-1-1-11111-2222111122211-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-2222222111111111111-1-1-1-1-1-1-1-1-1-1-1-12222-2-2221111-1-1-1-12-2-2-1-1-1-1-1-111111100000000000000000000
χ4922-2-22-222i−2i2i−2i002-2-2000000022-2002-2-22i−2i002i−2i0022000022-2-2-2-2000000002-2-222-2002i−2i002i−2i0022-2-200002i2i−2i−2i00002i2i−2i−2i00002-22i−2i2i−2i0022-2-200000002-2002i−2i002i−2i0000000000000000000000
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χ1398-88-8008000000-88-80000000-200002-2200000000-2-2−2i52i52i5−2i522-2-222−2i52i52i5−2i52i5−2i5−2i52i50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8008000000-88-80000000-200002-2200000000-2-22i5−2i5−2i52i522-2-2222i5−2i5−2i52i5−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-800-40000004-4443−43−4343000-200002-22000000001−i151+i152i5−2i5−2i52i5−1+i15−1−i151−i151+i15−1+i15−1−i152ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ47−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1438-88-800-40000004-44−434343−43000-200002-22000000001−i151+i15−2i52i52i5−2i5−1+i15−1−i151−i151+i15−1+i15−1−i15−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ47−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1508-8-8800-40000-8844-44-44-4000-2000022-2000000001+i151−i1522-2-2−1−i15−1+i15−1−i15−1+i151+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i151+i151−i150000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.