Finite Group Databasebeta

← Group #12129300

Character table — Group #12129300

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222222222222222244444444444444444444555555558888888888888888888888888888888810101010161616161616161616161616161616162020202020202020202020204040404040404040
order1222222244445510101010101010101010101010102244888888882020202020202020444444444444444410101010202020204040404040404040404040404040404044442020202020202020202020202020202044448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ101111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ121111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222222−1+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+52−1−52−1−52−1−52−1−520000−1+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+52−1−52−1−5200000000000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000002222-2-2-2-2−1+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+520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-2-2-22222−1+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+5200001−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ21222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-2-2-22222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022-2-222-2-21−521−521+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+520000−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ22222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-2-2-22222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-222-2-2221−521−521+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+5200001−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ23222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022-2-2-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ24222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-22222-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ25222222222222−1−52−1+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+52222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222222−1−52−1−52−1+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+520000−1−52−1−52−1+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+5200000000000000000000
χ26222222222222−1−52−1+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+52222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ27222222222222−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000002222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ28222222222222−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200001+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ29222222222222−1−52−1+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+52-2-2-2-22222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022-2-222-2-21+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+521−521−521−521−520000−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ30222222222222−1−52−1+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+52-2-2-2-22222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-222-2-2221+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+521−521−521−521−5200001+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ31222222222222−1−52−1+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+52-2-2-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022-2-2-2-2221+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+520000−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ32222222222222−1−52−1+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+52-2-2-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-22222-2-21+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+5200001+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ3322222222-2-2-2-2222222222222222222-2-200000000-2-2-2-2-2-2-2-222222222000000002222-2-2-2-20000000000000000-2-2-2-20000000000000000-2-2220000000000000000
χ3422222222-2-2-2-2222222222222222222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000000000002222000000000000000022-2-20000000000000000
χ3522222222-2-2-2-22222222222222222-2-22200000000-2-2-2-2-2-2-2-22222222200000000-2-2-2-222220000000000000000-2-2-2-2000000000000000022-2-20000000000000000
χ3622222222-2-2-2-22222222222222222-2-22200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-22222000000000000000022220000000000000000-2-2220000000000000000
χ37222-2-22-2-222-2-222-2-2-2-2222-2-2222-2-20000000022-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i00000000000000000000000022-2-222-2-22i2i−2i−2i0000000000000000000000002i2i−2i−2i00000000
χ38222-2-22-2-222-2-222-2-2-2-2222-2-2222-2-20000000022-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i00000000000000000000000022-2-222-2-2−2i−2i2i2i000000000000000000000000−2i−2i2i2i00000000
χ39222-2-22-2-222-2-222-2-2-2-2222-2-2222-2-200000000-2-222-2-2-2-222222i2i2i2i−2i−2i−2i−2i000000000000000000000000-2-222-2-2222i2i−2i−2i000000000000000000000000−2i−2i2i2i00000000
χ40222-2-22-2-222-2-222-2-2-2-2222-2-2222-2-200000000-2-222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i000000000000000000000000-2-222-2-222−2i−2i2i2i0000000000000000000000002i2i−2i−2i00000000
χ41222-2-22-2-2-2-22222-2-2-2-2222-2-2222-2-200002i2i−2i−2i00002222-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i0000000000000000000022-2-2000000000000
χ42222-2-22-2-2-2-22222-2-2-2-2222-2-2222-2-200002i2i−2i−2i00002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i00000000000000000000-2-222000000000000
χ43222-2-22-2-2-2-22222-2-2-2-2222-2-2222-2-20000−2i−2i2i2i00002222-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i00000000000000000000-2-222000000000000
χ44222-2-22-2-2-2-22222-2-2-2-2222-2-2222-2-20000−2i−2i2i2i00002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i0000000000000000000022-2-2000000000000
χ4522-22-2-22-20000222-22-22-2-22-22-2-22-2002i−2i2−22−2i2−i2i2−i2000000002i2i−2i−2i2i2i−2i−2i0000000000002i−2i2i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000000000002-200i2−i2i2−i22−22−200000000
χ4622-22-2-22-20000222-22-22-2-22-22-2-22-2002i−2i2−22−2i2−i2i2−i200000000−2i−2i2i2i−2i−2i2i2i0000000000002i−2i2i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000000000000000-2200−i2i2−i2i2−22−2200000000
χ4722-22-2-22-20000222-22-22-2-22-22-2-22-2002i−2i−22−22−i2i2−i2i2000000002i2i−2i−2i2i2i−2i−2i0000000000002i−2i2i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000000000002-200−i2i2−i2i2−22−2200000000
χ4822-22-2-22-20000222-22-22-2-22-22-2-22-2002i−2i−22−22−i2i2−i2i200000000−2i−2i2i2i−2i−2i2i2i0000000000002i−2i2i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000000000000000-2200i2−i2i2−i22−22−200000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.