Finite Group Databasebeta

← Group #12013673

Character table — Group #12013673

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size111122222222222222224444444444444444444444444444444444444444444444444444444444444444444444432323232323232323232404040404040404080808080
order1222444455888810101010101048816161616161616162020202020202020202020204040404040404040404040404040404080808080808080808080808080808080808080808080808080808080808080804420202020202020204488161616168888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1
χ92222222222-2-2-2-22222222-2-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000022-2-200000000
χ102222222222-2-2-2-22222222-2-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-2-22200000000
χ1122222222−1+52−1−522222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ1222222222−1+52−1−522222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000
χ1322222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ1422222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ1522222222−1−52−1+522222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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
χ1622222222−1−52−1+522222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+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
χ1722222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2-2-2-2-2−1−52−1−52−1+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+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ1822222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2-2-2-2-2−1−52−1−52−1+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+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ19222222-2-2222222222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000
χ20222222-2-2222222222222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222220000000000000000000000
χ21222222-2-222-2-2-2-2222222-22200000000-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000002i2i−2i−2i0000
χ22222222-2-222-2-2-2-2222222-22200000000-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000−2i−2i2i2i0000
χ23222222-2-2−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72000000000000
χ24222222-2-2−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72000000000000
χ25222222-2-2−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72000000000000
χ26222222-2-2−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72000000000000
χ27222222-2-2−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22222-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+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+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+521−521−521−521−521−521−521−521−5200−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56000000000000
χ28222222-2-2−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22222-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+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+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+521−521−521−521−521−521−521−521−5200ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56000000000000
χ29222222-2-2−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1−52−1+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+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+5200−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56000000000000
χ30222222-2-2−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1−52−1+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+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+5200ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56000000000000
χ312222-2-222220000222222-20022−2−222−2−2-2-2-2-22222-2-2-2-200000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−200000000002-2002−22−20000
χ322222-2-222220000222222-20022−2−222−2−2-2-2-2-22222-2-2-2-200000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000000000-2200−22−220000
χ332222-2-222220000222222-200−2−222−2−222-2-2-2-22222-2-2-2-20000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2222200000000002-200−22−220000
χ342222-2-222220000222222-200−2−222−2−222-2-2-2-22222-2-2-2-20000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000000000-22002−22−20000
χ352222-2-2-2-222000022222220022−2−2−2−2222222-2-2-2-2-2-2-2-200000000000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−222220000000000002i−2ii2−i2−i2i20000
χ362222-2-2-2-222000022222220022−2−2−2−2222222-2-2-2-2-2-2-2-200000000000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000−2i2i−i2i2i2−i20000
χ372222-2-2-2-2220000222222200−2−22222−2−22222-2-2-2-2-2-2-2-20000000000000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−20000000000002i−2i−i2i2i2−i20000
χ382222-2-2-2-2220000222222200−2−22222−2−22222-2-2-2-2-2-2-2-20000000000000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000−2i2ii2−i2−i2i20000
χ3922-2-22-2002222-2-22-22-2-2-20002-22-20000000000002-22-20000000022-2-222-2-222-2-222-2-20000000022-2-222-2-2000000000000000000000000002−22−2
χ4022-2-22-2002222-2-22-22-2-2-20002-22-20000000000002-22-20000000022-2-222-2-222-2-222-2-20000000022-2-222-2-200000000000000000000000000−22−22
χ4122-2-22-2002222-2-22-22-2-2-2000-22-220000000000002-22-20000000022-2-222-2-2-2-222-2-22200000000-2-222-2-222000000000000000000000000002−2−22
χ4222-2-22-2002222-2-22-22-2-2-2000-22-220000000000002-22-20000000022-2-222-2-2-2-222-2-22200000000-2-222-2-22200000000000000000000000000−222−2
χ4344444444−1+5−1−5-4-4-4-4−1+5−1+5−1−5−1−5−1+5−1−54-4-400000000−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+51−51−51−51−51+51+51+51+5000000000000000000000000000000000000000000000000000000
χ4444444444−1−5−1+5-4-4-4-4−1−5−1−5−1+5−1+5−1−5−1+54-4-400000000−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−51+51+51+51+51−51−51−51−5000000000000000000000000000000000000000000000000000000
χ45444444-4-4−1+5−1−5-4-4-4-4−1+5−1+5−1−5−1−5−1+5−1−5-444000000001−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51−51−51+51+51+51+5000000000000000000000000000000000000000000000000000000
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χ1134-4-4400-44−1−5−1+5−222222−221+51+51−51−5−1−5−1+5022−220000000000001+5−1−51−5−1+50000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ610000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.