Finite Group Databasebeta

← Group #12156458

Character table — Group #12156458

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222222222222222244444444444444444444444444888888888888888888888888888888888888888888810101010161616161616161616202020202020202040404040404040404080
order1222222244445510101010101010101010101010104444448888202020202020202020202020202020204444488202020202020202020202020202020202020202040404040404040404040404040404040222242020202020202020444488884444444884
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1-1-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111
χ5111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1
χ6111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-11-1-111-1-1-1-11
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-111-1-11111-1
χ91111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1111111-1-1-11111-1-1-1
χ101111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111
χ111111111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ121111111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-111-1-1111111111-1-1-1-1-1
χ131111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-111-1-1-1-1-1-11
χ141111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-11-1-1111111-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-111-1-1-1-1-11111-1-111-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-111-1-11
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+52−1−522222222222−1+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+52−1−522222222−1+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+52−1−52−1−52−1−52−1−5200002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
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+52−1−52222222-2-2-2-2−1+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+52−1−52222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000-21−521−521+521+521−521−521+521+52000000000000000000
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+52−1−5222-2-2-2-22222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522-2-2-2-2221−521−521−521−521+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-21−521−521+521+521−521−521+521+52000000000000000000
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+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−522-2-222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
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+52−1−52-2-222222222−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-2-222-2-2−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000-21−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
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+52−1−52-2-22222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-2-2-2-222−1+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+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
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+52−1−52-2-2-2-2-2-22222−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-222-2-2-2-21−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200002−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
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+52−1−52-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-22222221−521−521−521−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-21−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
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+522222222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522222222−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
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+52222222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52222-2-2-2-2−1−52−1−52−1−52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-21+521+521−521−521+521+521−521−52000000000000000000
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+5222-2-2-2-22222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-21+521+521−521−521+521+521−521−52000000000000000000
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+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522-2-222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
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+52-2-222222222−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000-21+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
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+52-2-22222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
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+52-2-2-2-2-2-22222−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-222-2-2-2-21+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200002−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
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+52-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-22222221+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-21+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3322222222-2-2-2-222222222222222222200000000-2-2-2-2-2-222222222-2-2-200000000000000-2-2-2-2000000000000000000000000222200000000022-2-20000-2000000000
χ3422222222-2-2-2-222222222222222222200000000-2-2-2-2-2-222222222-2-2-200000000000000-2-2-2-2000000000000000000000000-2-2-2-2000000000-2-22200002000000000
χ3522222222-2-2-2-22222222222222222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220000000000000022220000000000000000000000002222000000000-2-2-2-200002000000000
χ3622222222-2-2-2-22222222222222222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22000000000000002222000000000000000000000000-2-2-2-200000000022220000-2000000000
χ37222-2-2-2-2222-2-22222-2-222-2-22-22-2-2-20022-2-2000022-222-200000000-2-2000000022-2-222-2-2000000000000000000000000000022-2-2000000000002-20000000002-2000
χ38222-2-2-2-2222-2-22222-2-222-2-22-22-2-2-20022-2-2000022-222-200000000-2-2000000022-2-222-2-20000000000000000000000000000-2-22200000000000-22000000000-22000
χ39222-2-2-2-2222-2-22222-2-222-2-22-22-2-2-200-2-222000022-222-200000000-2-20000000-2-222-2-222000000000000000000000000000022-2-2000000000002-2000000000-22000
χ40222-2-2-2-2222-2-22222-2-222-2-22-22-2-2-200-2-222000022-222-200000000-2-20000000-2-222-2-2220000000000000000000000000000-2-22200000000000-220000000002-2000
χ41222-2-2-2-22-2-2222222-2-222-2-22-22-2-2-20000000000-2-22-2-22000000002202i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000022-2-200000000000-22000002i−2i0000000
χ42222-2-2-2-22-2-2222222-2-222-2-22-22-2-2-20000000000-2-22-2-22000000002202i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000-2-222000000000002-200000−2i2i0000000
χ43222-2-2-2-22-2-2222222-2-222-2-22-22-2-2-20000000000-2-22-2-2200000000220−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000022-2-200000000000-2200000−2i2i0000000
χ44222-2-2-2-22-2-2222222-2-222-2-22-22-2-2-20000000000-2-22-2-2200000000220−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000-2-222000000000002-2000002i−2i0000000
χ4522-2-222-2-20000222-22-22-22-2-2-2-2-2222i−2i0000i2i2−i2−i20000002i2i−2i−2i2i2i−2i−2i00000002−200000000000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−22-22-20000000002i−2i00i2i2−i2−i200000002−20
χ4622-2-222-2-20000222-22-22-22-2-2-2-2-2222i−2i0000i2i2−i2−i20000002i2i−2i−2i2i2i−2i−2i00000002−200000000000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2-22-22000000000−2i2i00−i2−i2i2i20000000−220
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χ1244-4-4-4-4444-44-44−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+5−1+51−51+51−500000000001+5−1−51+51−5−1+51−500000000−1−5−1+50000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000000000000
χ12588-88-8-88-80000−2+25−2−25−2+252−252−25−2+25−2−252+252+25−2−252−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-88-8-88-80000−2−25−2+25−2−252+252+25−2−25−2+252−252−25−2+252+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-888-88-8-80000−2+25−2−252−25−2+25−2+252−252+25−2−25−2−252+252−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-888-88-8-80000−2−25−2+252+25−2−25−2−252+252−25−2+25−2+252−252+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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