Finite Group Databasebeta

← Group #12134142

Character table — Group #12134142

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111111122222222222222222222222244444444444444444444448888888888888888888888888888888888888888881616161616161616161620202020202020202020202040404040404040404040
order1222222244444444551010101010101010101010101010444444202020202020202020202020202020204488882020202020202020202020202020202020202020404040404040404040404040404040404420202020202020204444888888882222444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111
χ51111111111111111111111111111111111-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-1
χ61111111111111111111111111111111111-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111
χ71111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1111
χ81111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-111-1-1-1
χ9111111111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-11-1-1
χ10111111111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-111
χ11111111111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1111
χ12111111111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1111111-1-1-1-1-1-111111-1-1-1
χ13111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-111111
χ14111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111111111-1-1-1-1-1
χ15111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1111-1-1
χ16111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1-111
χ172222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ182222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52-2-21−521−521+521+521−521−521+521+520000000000000000000000
χ192222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-22222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000000000000000
χ202222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+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+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ212222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ222222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-2-21+521+521−521−521+521+521−521−520000000000000000000000
χ232222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-22222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000000000000000
χ242222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ25222222222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-222-2-21−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ26222222222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2-2-2221−521−521+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+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
χ27222222222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−522222-2-21−521−521+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+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
χ28222222222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-2221−521−521+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+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ29222222222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-222-2-21+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+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ30222222222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-2-2-2221+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000
χ31222222222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+522222-2-21+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+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000
χ32222222222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-2221+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+522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ3322222222-22222-2-2-22222222222222222-2-2000022222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000000000000000000000000000000000000002222000000000000-200-200
χ3422222222-22222-2-2-22222222222222222-2-2000022222222-2-2-2-2-2-2-2-2000000-2-2-2-2000000000000000000000000000000000000000000-2-2-2-2000000000000200200
χ3522222222-2-2-2-2-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000222200000000000000000000000000000000000000000022-2-2000000000000200-200
χ3622222222-2-2-2-2-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000002222000000000000000000000000000000000000000000-2-222000000000000-200200
χ37222-2-22-2-2-2000022-2222222-2-2-2-2-2-22-22-2002i2i−2i−2i000000002-2-22-2-22200000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000002i2i−2i−2i0000002-2000000
χ38222-2-22-2-2-2000022-2222222-2-2-2-2-2-22-22-2002i2i−2i−2i000000002-2-22-2-22200000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000−2i−2i2i2i000000-22000000
χ39222-2-22-2-2-2000022-2222222-2-2-2-2-2-22-22-200−2i−2i2i2i000000002-2-22-2-2220000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000002i2i−2i−2i000000-22000000
χ40222-2-22-2-2-2000022-2222222-2-2-2-2-2-22-22-200−2i−2i2i2i000000002-2-22-2-2220000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000−2i−2i2i2i0000002-2000000
χ4122-22-2-22-202i2i−2i−2i000222-22-2-2-22-22-2-22-220000002i2i−2i−2i2i2i−2i−2i00000000002−2i2−i20000000000000000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000002-22i−2i2−22−2i2i2−i2−i20000000000
χ4222-22-2-22-202i2i−2i−2i000222-22-2-2-22-22-2-22-220000002i2i−2i−2i2i2i−2i−2i00000000002−2i2−i20000000000000000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000-22−2i2i−22−22−i2−i2i2i20000000000
χ4322-22-2-22-202i2i−2i−2i000222-22-2-2-22-22-2-22-220000002i2i−2i−2i2i2i−2i−2i0000000000−22−i2i200000000000000000000−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000002-22i−2i−22−22−i2−i2i2i20000000000
χ4422-22-2-22-202i2i−2i−2i000222-22-2-2-22-22-2-22-220000002i2i−2i−2i2i2i−2i−2i0000000000−22−i2i200000000000000000000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000-22−2i2i2−22−2i2i2−i2−i20000000000
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χ1288-888-8-8-8800000000−2−25−2+252+25−2−252−25−2+25−2−25−2+25−2−252+25−2+252−252+252+252−252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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