Finite Group Databasebeta

← Group #11996141

Character table — Group #11996141

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size11112222222222222222444444444444444444444444444444488888888888888888888161616161616161616161616161616161616161620202020202020202020202020202020404040408080
order1222224444445510101010101022444444444101010102020202020202020202020202020202010101010202020202020202020202020202020204488202020202020202040404040404040408888888888888888444488
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
χ511111111111111111111-1-11-1-1-1-111-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111-1-11-1-1-1-111-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ711111111111111111111-1-11-1-1-1-111-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ811111111111111111111-1-11-1-1-1-111-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ91111-1-11-11-1-1-111111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−ii−i
χ101111-1-11-11-1-1-111111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−ii
χ111111-1-11-11-1-1-111111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−i−i−iii−ii
χ121111-1-11-11-1-1-111111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−i−i−iiiiiii−i−ii−i
χ131111-1-11-11-1-1-111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii−i−iiii−i
χ141111-1-11-11-1-1-111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−iii−i−i−ii
χ151111-1-11-11-1-1-111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiiiii−i−i−ii
χ161111-1-11-11-1-1-111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i−i−iiii−i
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+52−1−52-2-22-2-2-2-222-2-2−1+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+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521+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+52−1−52-2-22-2-2-2-222-2-2−1+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+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521+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+52-2-22-2-2-2-222-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−52−1−52−1+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+52-2-22-2-2-2-222-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−52−1−52−1+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
χ25222222222-22-22222222222-222-2-2-2-2-2-222222222-2-222-2-2-2-2-2-2222222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000
χ26222222222-22-222222222-2-2-2-2-222-2-22222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2-222-2-22222000000000000000000000000000000000000000000
χ27222222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521+521−521−521+521+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+52−1−5222-222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521+521−521−521+521+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+52−1−52-2-2-2-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−521−521+52−1+52−1+52−1−52−1−520000ζ12−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+52−1−52-2-2-2-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−521−521+52−1+52−1+52−1−52−1−520000−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+5222-222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521−521+521+521−521−520000−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+5222-222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521−521+521+521−521−520000ζ4−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+52-2-2-2-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+521+521−52−1−52−1−52−1+52−1+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+52-2-2-2-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+521+521−52−1−52−1−52−1+52−1+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
χ35222222-2-2-22-22222222220020000-2-2002222-2-2-2-222-2-222-2-2-2-2-2-200002200000000-2-20000000000000000000000000000000022-2-222-2-2000000
χ36222222-2-2-22-22222222220020000-2-2002222-2-2-2-222-2-222-2-2-2-2-2-200002200000000-2-200000000000000000000000000000000-2-222-2-222000000
χ37222222-2-2-2-2-2-22222222200-2000022002222-2-2-2-2-2-2-2-2-2-22222-2-20000-2-200000000220000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ38222222-2-2-2-2-2-22222222200-2000022002222-2-2-2-2-2-2-2-2-2-22222-2-20000-2-20000000022000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ392222-2-22-222-222222222222-2-2-222-22-2-2-2-2-2-222-2-222-2-222-2-2-2-2222222-2-2-2-222-2-22222-2-2-2-2000000000000000000000000000000000000000000
χ402222-2-22-222-2222222222-2-2-222-2-2-2222-2-2-2-222-2-222-2-222-2-2-2-222-2-2-2-2-2-222-2-222-2-2222222000000000000000000000000000000000000000000
χ412222-2-22-222-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-222-22-2-21−521−521+521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000000000
χ422222-2-22-222-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-222-22-2-21−521−521+521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000000000
χ432222-2-22-222-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222-2-2-22221−521−521+521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000000000
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χ1014-44-40000040-444-44-44-4-400000000000000000004-4004-4000000000000000000000000000000000000000000000000000000000000002-22-200
χ1024-44-40000040-444-44-44-4-400000000000000000004-4004-400000000000000000000000000000000000000000000000000000000000000-22-2200
χ1034-44-400000-40444-44-44-4-40000000000000000000-4400-44000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ1044-44-400000-40444-44-44-4-40000000000000000000-4400-4400000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ1058-88-80000080-8−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000−2+252−2500−2−252+2500000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-80000080-8−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000−2−252+2500−2+252−2500000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800000-808−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000002−25−2+25002+25−2−2500000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800000-808−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000002+25−2−25002−25−2+2500000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-880000000088-8-8-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-8800000000−2+25−2−252−252−252+252+25−2+25−2−2500000000000000000000000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ360000000000000000000000000000000000000000000000000000000000000000
χ1118-8-8800000000−2+25−2−252−252−252+252+25−2+25−2−250000000000000000000000000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ360000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800000000−2−25−2+252+252+252−252−25−2−25−2+250000000000000000000000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ280000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800000000−2−25−2+252+252+252−252−25−2−25−2+2500000000000000000000000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ280000000000000000000000000000000000000000000000000000000000000000

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