Finite Group Databasebeta

← Group #12076409

Character table — Group #12076409

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222222222222444444444444444444444488888888888888888888888888881616161616161616161616161616161616162020202020202020202020204040404040408080
order1222224444444455101010101010441010101020202020202020202020202020202020244488882020202040404040404040404040404040404040241010101010102020202020202020202044448888888822444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ91111-1-11-1-1-1-111111111111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-11-1
χ101111-1-11-1-1-1-111111111111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-111-11
χ111111-1-11-1-1-1-111111111111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-11-1-1-11
χ121111-1-11-1-1-1-111111111111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11-1111-1
χ131111-1-11-1-1-1-111111111111-11-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1111-11
χ141111-1-11-1-1-1-111111111111-11-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111-1-1-11-1
χ151111-1-11-1-1-1-111111111111-11-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1
χ161111-1-11-1-1-1-111111111111-11-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-11
χ1722222222222222−1+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+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ1822222222222222−1+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+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+5200000000000000000000
χ1922222222222222−1+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+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521+521−521−521+521+521−521+521−521+521−521+521−521−521+521+5200000000000000000000
χ2022222222222222−1+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+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+52−1+52−1+52−1−52−1−521−521+521−521+521−521+52−1+52−1+52−1−52−1−5200000000000000000000
χ2122222222222222−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ2222222222222222−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−5200000000000000000000
χ2322222222222222−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521+521−521−521+521−521+521−521+521−521+521+521−521−5200000000000000000000
χ2422222222222222−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−52−1−52−1−52−1+52−1+521+521−521+521−521+521−52−1−52−1−52−1+52−1+5200000000000000000000
χ25222222222-2-22-2-222222222-2-222222-2-22-2-22222-2-2-2-2222-2-220000-2-2-2-2000000000000000000220000-2-2-2-222000000000000000000000000
χ26222222222-2-22-2-222222222-2-222222-2-22-2-22222-2-2-2-222-222-20000-2-2-2-2000000000000000000-2-200002222-2-2000000000000000000000000
χ27222222222-2-22-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2-2200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000000000
χ28222222222-2-22-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2-2200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000000000
χ29222222222-2-22-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52-222-200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000000000
χ30222222222-2-22-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52-222-200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000000000
χ31222222222-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-2-2200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000000000
χ32222222222-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-2-2200001+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000000000
χ33222222222-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52-222-200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000000000
χ34222222222-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52-222-200001+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000000000
χ35222222-2-2-222-2-2-222222222-222222-2-2-2-2-2-2-2-2-2-22222-2-200000000-2-22200000000000000000000000000000000000000000000002-2002-200
χ36222222-2-2-222-2-2-222222222-222222-2-2-2-2-2-2-2-2-2-22222-2-200000000-2-2220000000000000000000000000000000000000000000000-2200-2200
χ37222222-2-2-2-2-2-222222222222-22222-222-222-2-2-2-2-2-2-2-2-2-20000000022-2-2000000000000000000000000000000000022-2-200000000002-20000
χ38222222-2-2-2-2-2-222222222222-22222-222-222-2-2-2-2-2-2-2-2-2-20000000022-2-20000000000000000000000000000000000-2-2220000000000-220000
χ392222-2-22-2-2222-2-2222222222-2-2-2-2-22-2-22-2-2-2-2-2-222222222-2-2000022-2-2000000000000000000220000-2-222-2-2000000000000000000000000
χ402222-2-22-2-2222-2-2222222222-2-2-2-2-22-2-22-2-2-2-2-2-2222222-2-222000022-2-2000000000000000000-2-2000022-2-222000000000000000000000000
χ412222-2-22-2-2222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+521−521−52−1−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-20000−1+52−1−521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000000000
χ422222-2-22-2-2222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+521−521−52−1−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-20000−1+52−1−521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000000000
χ432222-2-22-2-2222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+521−521−52−1−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-2220000−1+52−1−521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000000000
χ442222-2-22-2-2222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+521−521−52−1−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-2220000−1+52−1−521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000000000
χ452222-2-22-2-2222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521+521−521−52−1−521+521+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-20000−1−52−1+521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000000000
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χ10388-8-80080000-800−2+25−2−252−25−2+252+25−2−252−252+25000000−2+2500−2−2500000000002−252+25000000000000000000000000000000000000000000000000000000000000000000
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χ1108-8-88-8800000000−2−25−2+252+252+252−252−25−2−25−2+25002+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000

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