Finite Group Databasebeta

← Group #12153525

Character table — Group #12153525

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222222222222444444444444444444444488888888888888888888888888881616161616161616161616161616161616162020202020202020202020204040404040408080
order1222224444444455101010101010441010101020202020202020202020202020202020224488882020202040404040404040404040404040404040441010101020202020202020202020202044444444444424444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1
χ91111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11-1
χ101111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-11
χ111111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-11
χ121111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1
χ131111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-11
χ141111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1
χ151111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-11111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1
χ161111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-11111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11
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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ1922222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+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+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+52−1−52−1+52−1−52−1+52−1−52−1+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+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+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ252222222-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-22-222-2-21−521+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+522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ262222222-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-22-2-2-2221−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ272222222-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-2222-2-21−521+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+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ282222222-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-22-2-2221−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ292222222-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-22-222-2-21+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ302222222-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-22-2-2-2221+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+52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ312222222-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-22-2222-2-21+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ322222222-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-22-22-2-2221+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+522-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ33222222-222-2-2-2-2-2222222222-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-2220000000000000000000000000000000000000000000000002-22-200
χ34222222-222-2-2-2-2-2222222222-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-222000000000000000000000000000000000000000000000000-22-2200
χ35222222-2-2-222-2-2-222222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-20000000000000000000000000000000000000000000000002-2-2200
χ36222222-2-2-222-2-2-222222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-2000000000000000000000000000000000000000000000000-222-200
χ372222-2-2222-2-2-2-2222222222-22-2-2-2-2-2-2-2-222222222-2-2-2-20000000022-2-2000000000000000000000000000000000022-2-2000000002-2000000
χ382222-2-2222-2-2-2-2222222222-22-2-2-2-2-2-2-2-222222222-2-2-2-20000000022-2-20000000000000000000000000000000000-2-22200000000-22000000
χ392222-2-22-2-222-2-22222222222-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000-2-222000000000000000000000000000000000022-2-200000000-22000000
χ402222-2-22-2-222-2-22222222222-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000-2-2220000000000000000000000000000000000-2-222000000002-2000000
χ412222-2-2-2222222-222222222-2-2-2-2-2-22222-2-2-2-22222222222-2-20000-2-2-2-20000000000000000002222-2-2-2-20000000000000000000000000000
χ422222-2-2-2222222-222222222-2-2-2-2-2-22222-2-2-2-222222222-2-2220000-2-2-2-2000000000000000000-2-2-2-222220000000000000000000000000000
χ432222-2-2-2222222-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-200001−521+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−ζ1800−1+52−1−52−1+52−1−521−521+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000
χ442222-2-2-2222222-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-200001−521+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+ζ1800−1+52−1−52−1+52−1−521−521+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000
χ452222-2-2-2222222-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22200001−521+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−ζ18001−521+521−521+52−1+52−1−52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000
χ462222-2-2-2222222-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22200001−521+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+ζ18001−521+521−521+52−1+52−1−52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000
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χ1058-88-8000-8800000−2+25−2−252−252+252−252+25−2+25−2−25000000000000002−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8000-8800000−2−25−2+252+252−252+252−25−2−25−2+25000000000000002+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88000008-8000−2+25−2−25−2+25−2−252−252+252−252+25000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88000008-8000−2−25−2+25−2−25−2+252+252−252+252−25000000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-8800000-88000−2+25−2−25−2+25−2−252−252+252−252+250000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-8800000-88000−2−25−2+25−2−25−2+252+252−252+252−250000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000

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