Finite Group Databasebeta

← Group #12084792

Character table — Group #12084792

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size11112222222222222222444444444444444444444444444444488888888888888888888161616161616161616161616161616161616161620202020202020202020202020202020404040408080
order1222224444445510101010101022444444444101010102020202020202020202020202020202010101010202020202020202020202020202020204488202020202020202040404040404040408888888888888888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1111-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1111-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ711111111111111111111-1-1111-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ811111111111111111111-1-1111-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ91111-1-11-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-1
χ101111-1-11-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-11
χ111111-1-11-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-11
χ121111-1-11-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-11-1
χ131111-1-11-1-111111111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1
χ141111-1-11-1-111111111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-11
χ151111-1-11-1-111111111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-11
χ161111-1-11-1-111111111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111-1
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222-2-2-2-2-2-2−1+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+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222-2-2-2-2-2-2−1+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+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ21222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ22222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000000
χ23222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2222-2-2-2-2-2-2−1−52−1−52−1+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+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000000000
χ24222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2222-2-2-2-2-2-2−1−52−1−52−1+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+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ25222222222-22-22222222222-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000
χ26222222222-22-222222222-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000
χ27222222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-222−1+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+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000000000
χ28222222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-222−1+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+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000000000
χ29222222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-22222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000000000
χ30222222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-22222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000000000
χ31222222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-222−1−52−1−52−1+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+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000000000
χ32222222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-222−1−52−1−52−1+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+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000000000
χ33222222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-22222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+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+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000000000
χ34222222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-22222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+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+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000000000
χ35222222-2-2-22-222222222200-22-200000022222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-2220000000000000000000000000000000022-2-2-2-22200000000000000
χ36222222-2-2-22-222222222200-22-200000022222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-22200000000000000000000000000000000-2-22222-2-200000000000000
χ37222222-2-2-2-2-2-222222222002-220000002222-2-2-2-22222-2-2-2-2-2-2-2-2000022-2-200000000000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i000000
χ38222222-2-2-2-2-2-222222222002-220000002222-2-2-2-22222-2-2-2-2-2-2-2-2000022-2-20000000000000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000
χ392222-2-22-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-222-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ402222-2-22-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-222-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
χ412222-2-22-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-2-222221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
χ422222-2-22-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-2-222221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ432222-2-22-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-222-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
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χ1098-88-80000000088-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ360000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800000000−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ360000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800000000−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ280000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-800000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ280000000000000000000000000000000000000000000000000000000000000000000000

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