Finite Group Databasebeta

← Group #12137015

Character table — Group #12137015

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222222222222222244444444444444444444444444888888888888888888888888888888888888888888810101010161616161616161616202020202020202040404040404040404080
order1222222244445510101010101010101010101010102222448888202020202020202020202020202020202444488101010101010101010101010202020202020202040404040404040404040404040404040222242020202020202020444488882244444882
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
χ511111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1111111-111-1-1-1-1-1
χ611111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-1-111111
χ711111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1111
χ811111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-11111-1-1111111-1-111111-1-1-1
χ91111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-111-1
χ101111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11
χ111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1111-1-1-1-11
χ121111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-11111-1
χ131111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-11111-1-1-1-1-111-1-11
χ141111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-111111-1-111-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-11
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+52−1−522222-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+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+520000-2−1+52−1+52−1−52−1−521−521−521+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+52−1−522222-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+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+52−1−52−1−52−1−52−1−52000021−521−521+521+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+52−1−52-2-2-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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
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+52−1−52-2-2-2-222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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
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+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+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+52000021−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
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+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+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+52−1−52−1−52−1−52−1−520000-2−1+52−1+52−1−52−1−521−521−521+521+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+522222-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+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+521−521−521−521−520000-2−1−52−1−52−1+52−1+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+522222-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+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+52000021+521+521−521−52−1−52−1−52−1+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+52-2-2-2-2222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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
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+52-2-2-2-222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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
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+521+521+521+521+521−521−521−521−52−1−52−1−52−1+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+521−521−521−521−52000021+521+521−521−52−1−52−1−52−1+52−1+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+521+521+521+521+521−521−521−521−52−1−52−1−52−1+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+520000-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3322222222-2-2-2-222222222222222220000220000-2-2-2-222222222-2-2-2-2-200000000000000-2-2-2-20000000000000000000000002222000000000-2-222000000-20000000
χ3422222222-2-2-2-222222222222222220000220000-2-2-2-222222222-2-2-2-2-200000000000000-2-2-2-2000000000000000000000000-2-2-2-200000000022-2-200000020000000
χ3522222222-2-2-2-222222222222222220000-2-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220000000000000022220000000000000000000000002222000000000-2-2-2-200000020000000
χ3622222222-2-2-2-222222222222222220000-2-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22000000000000002222000000000000000000000000-2-2-2-20000000002222000000-20000000
χ37222-22-2-2-200002222-2-222-2-22-22-2-2-200002i−2ii2i2−i2−i200002i2i−2i−2i2i2i−2i−2i0000000002−200000000000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−222-2-2000000000002i−2ii2i2−i2−i200000002−20
χ38222-22-2-2-200002222-2-222-2-22-22-2-2-200002i−2ii2i2−i2−i200002i2i−2i−2i2i2i−2i−2i0000000002−200000000000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2-2-22200000000000−2i2i−i2−i2i2i20000000−220
χ39222-22-2-2-200002222-2-222-2-22-22-2-2-200002i−2i−i2−i2i2i200002i2i−2i−2i2i2i−2i−2i000000000−2200000000000000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22222-2-2000000000002i−2i−i2−i2i2i20000000−220
χ40222-22-2-2-200002222-2-222-2-22-22-2-2-200002i−2i−i2−i2i2i200002i2i−2i−2i2i2i−2i−2i000000000−2200000000000000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222-2-22200000000000−2i2ii2i2−i2−i200000002−20
χ41222-22-2-2-200002222-2-222-2-22-22-2-2-20000−2i2ii2i2−i2−i20000−2i−2i2i2i−2i−2i2i2i000000000−2200000000000000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22222-2-200000000000−2i2ii2i2−i2−i20000000−220
χ42222-22-2-2-200002222-2-222-2-22-22-2-2-20000−2i2ii2i2−i2−i20000−2i−2i2i2i−2i−2i2i2i000000000−2200000000000000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222-2-222000000000002i−2i−i2−i2i2i200000002−20
χ43222-22-2-2-200002222-2-222-2-22-22-2-2-20000−2i2i−i2−i2i2i20000−2i−2i2i2i−2i−2i2i2i0000000002−200000000000000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−222-2-200000000000−2i2i−i2−i2i2i200000002−20
χ44222-22-2-2-200002222-2-222-2-22-22-2-2-20000−2i2i−i2−i2i2i20000−2i−2i2i2i−2i−2i2i2i0000000002−200000000000000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2-2-222000000000002i−2ii2i2−i2−i20000000−220
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χ1194-4-4-444-444-4-44−1−5−1+51+51+51+5−1−51−51−51−5−1+5−1−51+5−1+51−5−1−5−1+500000000001+5−1−51−5−1+500000000−1−51+5−1+51−504-40000000000000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000000
χ1204-4-4-444-444-4-44−1−5−1+51+51+51+5−1−51−51−51−5−1+5−1−51+5−1+51−5−1−5−1+500000000001+5−1−51−5−1+500000000−1−51+5−1+51−50-4400000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000000
χ1214-4-4-444-44-444-4−1+5−1−51−51−51−5−1+51+51+51+5−1−5−1+51−5−1−51+5−1+5−1−54-4-44000000−1+51−5−1−51+5000000001−5−1+51+5−1−50000000−1+51−51−5−1+5−1−51+51+5−1−500000000000000000000000000000000000000000000000000000000000
χ1224-4-4-444-44-444-4−1+5−1−51−51−51−5−1+51+51+51+5−1−5−1+51−5−1−51+5−1+5−1−5-444-4000000−1+51−5−1−51+5000000001−5−1+51+5−1−500000001−5−1+5−1+51−51+5−1−5−1−51+500000000000000000000000000000000000000000000000000000000000
χ1234-4-4-444-44-444-4−1−5−1+51+51+51+5−1−51−51−51−5−1+5−1−51+5−1+51−5−1−5−1+54-4-44000000−1−51+5−1+51−5000000001+5−1−51−5−1+50000000−1−51+51+5−1−5−1+51−51−5−1+500000000000000000000000000000000000000000000000000000000000
χ1244-4-4-444-44-444-4−1−5−1+51+51+51+5−1−51−51−51−5−1+5−1−51+5−1+51−5−1−5−1+5-444-4000000−1−51+5−1+51−5000000001+5−1−51−5−1+500000001+5−1−5−1−51+51−5−1+5−1+51−500000000000000000000000000000000000000000000000000000000000
χ1258-888-8-8-880000−2+25−2−252−25−2+25−2+25−2+252+25−2−25−2−25−2−252−252−252+252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-888-8-8-880000−2−25−2+252+25−2−25−2−25−2−252−25−2+25−2+25−2+252+252+252−252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-888-88-80000−2+25−2−252−252−25−2+252−252+252+25−2−252+25−2+25−2+25−2−25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-888-88-80000−2−25−2+252+252+25−2−252+252−252−25−2+252−25−2−25−2−25−2+25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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