Finite Group Databasebeta

← Group #12152998

Character table — Group #12152998

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222222244444444444444444444444444888888888888888888888816161616161616161616161616161616161616162020202020202020404040404040404040404040
order1222224444444455101010101010444444101010102020202020202020202020202020202024101010102020202020202020202020202020202022881010101010101010404040404040404044444444224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111-1-11-1-111111111111-111-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ10111111-1-11-1-111111111111-111-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111
χ11111111-1-11-1-111111111111-111-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-1
χ12111111-1-11-1-111111111111-111-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-111
χ13111111-1-11-1-111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-111
χ14111111-1-11-1-111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-11111-1-1
χ15111111-1-11-1-111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-111
χ16111111-1-11-1-111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1
χ1722222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−5200000000000000000000
χ1822222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ1922222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-22-2-2−1+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+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+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+5200000000000000000000
χ2022222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-22-2-2−1+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+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ2122222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+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+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+5200000000000000000000
χ2222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+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+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+521−521−5200000000000000000000
χ2322222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-22-2-2−1−52−1−52−1+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+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ2422222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-22-2-2−1−52−1−52−1+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+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ2522222222-2-2-2-2-2-222222222200-2002222-2-2-2-2-2-222-2-222-2-2-2-20000002-22-2000000000000000000000000000000000000000000002-22-20000
χ2622222222-2-2-2-2-2-222222222200-2002222-2-2-2-2-2-222-2-222-2-2-2-20000002-22-200000000000000000000000000000000000000000000-22-220000
χ27222222-2-22-2-2222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222-222−1+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+52−1−52-2-21−521−521+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+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+5200000000000000000000
χ28222222-2-22-2-2222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222-222−1+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+52−1−52-2-21−521−521+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+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ29222222-2-22-2-2222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ30222222-2-22-2-2222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ31222222-2-22-2-2222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-222-222−1−52−1−52−1+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+52-2-21+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+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ32222222-2-22-2-2222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-222-222−1−52−1−52−1+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+52-2-21+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+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ33222222-2-22-2-2222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+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+5200000000000000000000
χ34222222-2-22-2-2222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ35222222-2-2-222-2-2-222222222-2002002222-2-2-2-2-2-2-2-222-2-222-2-2000000-22-22000000000000000000000000000000000000000000002-2-220000
χ36222222-2-2-222-2-2-222222222-2002002222-2-2-2-2-2-2-2-222-2-222-2-2000000-22-2200000000000000000000000000000000000000000000-222-20000
χ372222-2-2222-2-22-2-222222222-2222-2-2-2-2-2-22-2-22-2-222-2-222-2-2222-22222-22-2222-2-222-2-2-2-2-2-20000000000000000000000000000000000000000
χ382222-2-2222-2-22-2-222222222-2-2-2222-2-2-2-22-2-22-2-222-2-222-2-222-22-2-2-2-2-22-22-2-222-2-22222220000000000000000000000000000000000000000
χ392222-2-2222-2-22-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2222-2-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−52−1+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000
χ402222-2-2222-2-22-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2222-2-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−52−1+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000
χ412222-2-2222-2-22-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-22221−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52-221−521−521+521+521−52−1+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000
χ422222-2-2222-2-22-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-22221−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52-221−521−521+521+521−52−1+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000
χ432222-2-2222-2-22-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2222-2-21+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+522-2−1−52−1−52−1+52−1+521+52−1−521−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000000000
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χ1098-8-8800000-88000−2+25−2−252−252−25−2+252+252+25−2−250000000000000000002−25−2+25002+25−2−250000000000000000000000000000000000000000000000000000000000000000
χ1108-8-8800000-88000−2−25−2+252+252+25−2−252−252−25−2+250000000000000000002+25−2−25002−25−2+250000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.