Finite Group Databasebeta

← Group #12254752

Character table — Group #12254752

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222222222222222444444444444444444444444444444888888888888888888881010101010101010161616161616161616161616161616161616161620202020202020202020202080808080
order122222444455888810101010101088101010101616161616161616202020202020202040404040404040404040404080808080808080808080808080808080161616161616161622241010101010101010101010102020202044448888161616162224
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1
χ91111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11-11-1
χ101111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-11-11
χ111111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-11-11
χ121111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-111-1-11111111-11-1
χ131111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11-1-11
χ141111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-111-1
χ151111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-111-1
χ161111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-111-1-111111-1-11
χ17222222222222-2-2-2-2222222-2-222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002222-2-2-2-200000000
χ18222222222222-2-2-2-2222222-2-222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-2-2-2222200000000
χ192222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ202222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−5200000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ212222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ222222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+52000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ242222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+5200000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ252222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ262222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ27222222-2-2-2-222000022222200222222−2−222−2−2-2-2-2-2-2-2-2-200000000000022−2−222−2−222−2−222−2−22222−2−2−2−2000000000000000000002-22-2000022−2−20000
χ28222222-2-2-2-222000022222200222222−2−222−2−2-2-2-2-2-2-2-2-200000000000022−2−222−2−222−2−222−2−2−2−2−2−2222200000000000000000000-22-220000−2−2220000
χ29222222-2-2-2-2220000222222002222−2−222−2−222-2-2-2-2-2-2-2-2000000000000−2−222−2−222−2−222−2−2222222−2−2−2−200000000000000000000-22-22000022−2−20000
χ30222222-2-2-2-2220000222222002222−2−222−2−222-2-2-2-2-2-2-2-2000000000000−2−222−2−222−2−222−2−222−2−2−2−22222000000000000000000002-22-20000−2−2220000
χ312222-2-222-2-222000022222200-2-2-2-222−2−2−2−222-2-22222-2-200000000000022−2−222−2−2−2−222−2−2222222−2−2−2−2000000000000000000002-2-220000−2−2220000
χ322222-2-222-2-222000022222200-2-2-2-222−2−2−2−222-2-22222-2-200000000000022−2−222−2−2−2−222−2−222−2−2−2−2222200000000000000000000-222-2000022−2−20000
χ332222-2-222-2-222000022222200-2-2-2-2−2−22222−2−2-2-22222-2-2000000000000−2−222−2−22222−2−222−2−22222−2−2−2−200000000000000000000-222-20000−2−2220000
χ342222-2-222-2-222000022222200-2-2-2-2−2−22222−2−2-2-22222-2-2000000000000−2−222−2−22222−2−222−2−2−2−2−2−22222000000000000000000002-2-22000022−2−20000
χ352222-2-2-2-22222-2-2-2-222222222-2-2-2-20000000022-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000022-2-2-2-22200000000
χ362222-2-2-2-22222-2-2-2-222222222-2-2-2-20000000022-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000-2-22222-2-200000000
χ372222-2-2-2-222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+522222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ382222-2-2-2-222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+522222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ392222-2-2-2-222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+52-2-2-2-22222−1+52−1−521−521−521+521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000002-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ402222-2-2-2-222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+52-2-2-2-22222−1+52−1−521−521−521+521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ412222-2-2-2-222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−522222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+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+521+521+521+521+521−521−521−521−52000000002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ422222-2-2-2-222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−522222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+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+521+521+521+521+521−521−521−521−5200000000-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ432222-2-2-2-222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−52-2-2-2-22222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000002-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ442222-2-2-2-222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−52-2-2-2-22222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ452-2-222-22-22-22222-2-2-2-2-2-2222-22-22-22-22-22-22-2-2-22-22-222-2-2-2-222222-22-22-22-22-22-22-22-22-22-200000000000000000000000000000000000000000000
χ462-2-222-22-22-22222-2-2-2-2-2-2222-22-22-2-22-22-22-22-2-22-22-222-2-2-2-222222-22-2-22-22-22-22-22-22-22-2200000000000000000000000000000000000000000000
χ472-2-222-22-22-222-2-222-2-2-2-222-222-22-200000000-2-22-22-2222222-2-2-2-2-22-22000000000000000022-2-222-2-200000000000000000000000000002-22-20000
χ482-2-222-22-22-222-2-222-2-2-2-222-222-22-200000000-2-22-22-2222222-2-2-2-2-22-220000000000000000-2-222-2-2220000000000000000000000000000-22-220000
χ492-2-222-22-22-2−1+52−1−5222-2-21−521−521+521+52−1+52−1−522-2−1+521−52−1−521+522-22-22-22-21−521+52−1+521−52−1−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+521−52−1−521+52−1+521−52−1+521−52−1−521+52−1−521+52−1+521−52−1+521−52−1−521+52−1−521+52000000000000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000000000000000
χ502-2-222-22-22-2−1+52−1−5222-2-21−521−521+521+52−1+52−1−522-2−1+521−52−1−521+522-22-22-22-21−521+52−1+521−52−1−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+521−52−1−521+52−1+521−52−1+521−52−1−521+52−1−521+52−1+521−52−1+521−52−1−521+52−1−521+52000000000000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1).