Finite Group Databasebeta

← Group #11996179

Character table — Group #11996179

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size111122222222222222222222222244444444444444444448888888888888888888888888888888888888888888816161616161616161616404040404040404080808080
order1222224444445510101010101020202020202020204441010101020202020202020202020202024444444101010102020202020202020202020202020202020202020202020202020202020202020884040404040404040888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111
χ91111-1-11-1-1-11-111111111-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-111-1-1ii−i−i111111-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−iiiii−i−i−i−ii−ii−iii−i−i1-11-1
χ101111-1-11-1-1-11-111111111-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-111-1-1ii−i−i111111-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−iiiii−i−i−i−i−ii−ii−i−iii-11-11
χ111111-1-11-1-1-11-111111111-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-111-1-1−i−iii111111-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−i−i−i−iiiiii−ii−iii−i−i-11-11
χ121111-1-11-1-1-11-111111111-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-111-1-1−i−iii111111-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−i−i−i−iiiii−ii−ii−i−iii1-11-1
χ131111-1-11-1-1-11-111111111-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-111ii−i−i-1-1-1-111-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−ii−i−i−i−iiiiii−ii−i−i−iii-111-1
χ141111-1-11-1-1-11-111111111-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-111ii−i−i-1-1-1-111-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−ii−i−i−i−iiiii−ii−iiii−i−i1-1-11
χ151111-1-11-1-1-11-111111111-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-111−i−iii-1-1-1-111-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiii−iiiii−i−i−i−ii−ii−i−i−iii1-1-11
χ161111-1-11-1-1-11-111111111-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-111−i−iii-1-1-1-111-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiii−iiiii−i−i−i−i−ii−iiii−i−i-111-1
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+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52000000000000
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+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+52000000000000
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+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222221−521−521+521+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000
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+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+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+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
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+52222−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52000000000000
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+52222−1−52−1+52−1−52−1+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+52−1−52−1+52−1−52−1+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+521−521−52000000000000
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+52222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222221+521+521−521−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000000000
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+52222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-21+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+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ25222222222-22-22222222222222222-2-2-2222222-2-222-2-2-2-2-2-22-22-200002222-2-2-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000000000
χ26222222222-22-22222222222222222-2-2-2222222-2-222-2-2-2-2-2-2-22-220000-2-2-2-2-2-2-2-22222-2-222-2-22200000000000000000000000000000000000000
χ27222222222-22-2−1+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+52−1−52−1−52-2-2-2−1+52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+522-22-20000−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000000000
χ28222222222-22-2−1+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+52−1−52−1−52-2-2-2−1+52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+522-22-20000−1+52−1+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−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000000000
χ29222222222-22-2−1+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+52−1−52−1−52-2-2-2−1+52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52-22-2200001−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000000000
χ30222222222-22-2−1+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+52−1−52−1−52-2-2-2−1+52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52-22-2200001−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000000000
χ31222222222-22-2−1−52−1+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+52-2-2-2−1−52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−522-22-20000−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000000000
χ32222222222-22-2−1−52−1+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+52-2-2-2−1−52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−522-22-20000−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000000000
χ33222222222-22-2−1−52−1+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+52-2-2-2−1−52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52-22-2200001+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000000000
χ34222222222-22-2−1−52−1+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+52-2-2-2−1−52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52-22-2200001+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000000000
χ35222222-2-2-22-2222222222-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2222200000000000022-2-20000000000000000000000000000000000000000002-22-20000
χ36222222-2-2-22-2222222222-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2222200000000000022-2-2000000000000000000000000000000000000000000-22-220000
χ37222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-22222-2-222-2-222-2-2-2-2000000000000-2-222000000000000000000000000000000000000002i−2i−2i2i00000000
χ38222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-22222-2-222-2-222-2-2-2-2000000000000-2-22200000000000000000000000000000000000000−2i2i2i−2i00000000
χ392222-2-22-2-222222222222-2-2-2-2-2-2-2-2-22-2-2-2-2-222-2-222-2-222222-2-2200002222-2-222-2-2-2-2-2-222-2-22200000000000000000000000000000000000000
χ402222-2-22-2-222222222222-2-2-2-2-2-2-2-2-22-2-2-2-2-222-2-222-2-22222-222-20000-2-2-2-2-2-222222222-2-222-2-200000000000000000000000000000000000000
χ412222-2-22-2-2222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52-22-21−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−522-2-220000−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000000000000
χ422222-2-22-2-2222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52-22-21−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−522-2-220000−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.