Finite Group Databasebeta

← Group #12967167

Character table — Group #12967167

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111122222222222222444444444444444444444444444455558888888888888888888888888888888888888810101010101016161616161616161616161620202020202020202020202020202020404040404040
order1222224444551010101010102244444444448888101010102020202020202020444422448810101010202020202020202020202020202020202020202040404040404040402222441010101020202020404040402244444444448888444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111111111111111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111
χ611111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1
χ711111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111111111-1-1-1-111
χ9111111111111111111-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1
χ10111111111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1111
χ11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111
χ12111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-111-1-1-1
χ13111111111111111111-1-1-1-1-1-111-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-11-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-111-111
χ15111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-111-111
χ16111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-111111-1-11-1-1
χ171111-1-1-1-111111111111-111-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-11-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11-1-1-11-111-1-11111-1-1-11-111-1
χ181111-1-1-1-111111111111-111-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1111-11-1-111-1-1-1-1111-11-1-11
χ191111-1-1-1-111111111111-111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1-11-111-1-111-1-1111-11-1-11
χ201111-1-1-1-111111111111-111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1111-11-1-111-1-111-1-1-11-111-1
χ211111-1-1-1-111111111111-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-111111111-11-111-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11-1111-1-1-111-1-111-1-11-11-11-1
χ221111-1-1-1-111111111111-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-111-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-11-1-1-1111-1-111-1-111-11-11-11
χ231111-1-1-1-111111111111-1-1-111-1-11-111-1-111-1-1-1-1-1-1-1-1111111111-11-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1111-1111-1-1-111-1-1-1-111-11-11-11
χ241111-1-1-1-111111111111-1-1-111-1-11-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-11-1-1-1111-1-11111-1-11-11-11-1
χ251111-1-1-1-11111111111-1111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-11-11-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1111-1111-1-1-1-111-1-111-1-1-11
χ261111-1-1-1-11111111111-1111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-11-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-11-1-1-11111-1-111-1-1111-1
χ271111-1-1-1-11111111111-1111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-111-11-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1111-1111-1-1-1-1-1-111-1-1111-1
χ281111-1-1-1-11111111111-1111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-11-1-1-11-1-1-1111111-1-111-1-1-11
χ291111-1-1-1-11111111111-11-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-11-1-1-11-1-1111111-1-1-1-111-11
χ301111-1-1-1-11111111111-11-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111-1-111-1-1111-1111-111-1-1-1-1-1-11111-1-11-1
χ311111-1-1-1-11111111111-11-1-11111-11-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-11-1-1-11-1-11111-1-11111-1-11-1
χ321111-1-1-1-11111111111-11-1-11111-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-111-1-111-1-11-1111-111-1-1-1-111-1-1-1-111-11
χ332222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
χ342222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000001−521+521−521+521−521+521−521+521−521+521−521+520000000000000000000000
χ352222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-222-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
χ362222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200002222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
χ372222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022-2-2-2-21−521+521−521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000000000
χ382222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-222221−521+521−521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+520000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
χ392222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-222-2-21−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
χ402222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222-2-222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022-2-2221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
χ412222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ422222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000001+521−521+521−521+521−521+521−521+521−521+521−520000000000000000000000
χ432222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-222-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000000000
χ442222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200002222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000000000
χ452222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022-2-2-2-21+521−521+521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000000000
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χ1094-44-4-444-4-44−1+5−1−5−1+51−5−1−51+51−51+5004i−4i−4i4i00000000001−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−50000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000000000000000
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χ1134-44-4-44-444-4−1+5−1−5−1+51−5−1−51+51−51+50000004i−4i00−4i4i00001−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+50000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
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χ1194-4-4400000044-44-44-4-400000000000000−2i22i20000000000004i−4i−4i4i0000000000000000000000000000000000−2i22i2−2i22i200000000000000000000000000000000−2222000000
χ1204-4-4400000044-44-44-4-400000000000000−2i22i2000000000000−4i4i4i−4i0000000000000000000000000000000000−2i22i2−2i22i20000000000000000000000000000000022−22000000
χ12188-8-8000000−2+25−2−252−252−252+252+25−2+25−2−2500000000000042−42000000000000000000000000000000000000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900000000000000000000000000000000000000000000
χ12288-8-8000000−2+25−2−252−252−252+252+25−2+25−2−25000000000000−42420000000000000000000000000000000000000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ3900000000000000000000000000000000000000000000
χ12388-8-8000000−2−25−2+252+252+252−252−25−2−25−2+2500000000000042−420000000000000000000000000000000000000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ3700000000000000000000000000000000000000000000
χ12488-8-8000000−2−25−2+252+252+252−252−25−2−25−2+25000000000000−4242000000000000000000000000000000000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700000000000000000000000000000000000000000000
χ1258-8-88000000−2+25−2−252−25−2+252+25−2−252−252+25000000000000004i2−4i2000000000000000000000000000000000000000000000000002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ390000000000000000000000000000000000000000
χ1268-8-88000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000−4i24i200000000000000000000000000000000000000000000000000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ390000000000000000000000000000000000000000
χ1278-8-88000000−2−25−2+252+25−2−252−25−2+252+252−25000000000000004i2−4i2000000000000000000000000000000000000000000000000002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ370000000000000000000000000000000000000000
χ1288-8-88000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000−4i24i200000000000000000000000000000000000000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ370000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.