Finite Group Databasebeta

← Group #12016689

Character table — Group #12016689

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222222222222222444444444444444444444444444444888888888888888888881010101010101010161616161616161616161616161616161616161620202020202020202020202080808080
order12222244445588881010101010108810101010161616161616161620202020202020204040404040404040404040408080808080808080808080808080808022448888244410101010202020202020202020202020248816161616161616164444
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1
χ91111-1-11-1-1111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−i-1-111iiii−i−i−i−i1-1i−i
χ101111-1-11-1-1111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-11−ii-1-1-1-11111−i−i−i−iiiii-1-111iiii−i−i−i−i-11−ii
χ111111-1-11-1-1111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111-1i−i1111-1-1-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii-11−ii
χ121111-1-11-1-1111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-11−ii-1-1-1-11111−i−i−i−iiiii11-1-1−i−i−i−iiiii1-1i−i
χ131111-1-11-1-1111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii-1-111−i−i−i−iiiii1-1−ii
χ141111-1-11-1-1111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-11i−i-1-1-1-11111iiii−i−i−i−i-1-111−i−i−i−iiiii-11i−i
χ151111-1-11-1-1111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111-1−ii1111-1-1-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i-11i−i
χ161111-1-11-1-1111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-11i−i-1-1-1-11111iiii−i−i−i−i11-1-1iiii−i−i−i−i1-1−ii
χ17222222222222-2-2-2-2222222-2-222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000000022-2-2000000000000
χ18222222222222-2-2-2-2222222-2-222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000000000000000-2-222000000000000
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
χ27222222-2-2-2-222000022222200222222−2−222−2−2-2-2-2-2-2-2-2-200000000000022−2−222−2−222−2−222−2−222-2-20000000000000000000000002-20022−2−222−2−20000
χ28222222-2-2-2-222000022222200222222−2−222−2−2-2-2-2-2-2-2-2-200000000000022−2−222−2−222−2−222−2−2-2-222000000000000000000000000-2200−2−222−2−2220000
χ29222222-2-2-2-2220000222222002222−2−222−2−222-2-2-2-2-2-2-2-2000000000000−2−222−2−222−2−222−2−22222-2-20000000000000000000000002-200−2−222−2−2220000
χ30222222-2-2-2-2220000222222002222−2−222−2−222-2-2-2-2-2-2-2-2000000000000−2−222−2−222−2−222−2−222-2-222000000000000000000000000-220022−2−222−2−20000
χ312222-2-22-2-22222222222222-2-2-2-2-2-20000000022-2-2-2-22222222222-2-2-2-200000000000000002222222200000000000000000000-2-2-2-2000000000000
χ322222-2-22-2-22222222222222-2-2-2-2-2-20000000022-2-2-2-22222222222-2-2-2-20000000000000000-2-2-2-2-2-2-2-2000000000000000000002222000000000000
χ332222-2-22-2-22−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52221−521+521−521+522i2i2i2i−2i−2i−2i−2i−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14000000002-22i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ342222-2-22-2-22−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52221−521+521−521+522i2i2i2i−2i−2i−2i−2i−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ1400000000-22−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ352222-2-22-2-22−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52221−521+521−521+52−2i−2i−2i−2i2i2i2i2i−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14000000002-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ362222-2-22-2-22−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52221−521+521−521+52−2i−2i−2i−2i2i2i2i2i−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ1400000000-222i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ372222-2-22-2-22−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52221+521−521+521−522i2i2i2i−2i−2i−2i−2i−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38000000002-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ382222-2-22-2-22−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52221+521−521+521−522i2i2i2i−2i−2i−2i−2i−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ3800000000-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ392222-2-22-2-22−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52221+521−521+521−52−2i−2i−2i−2i2i2i2i2i−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38000000002-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ402222-2-22-2-22−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52221+521−521+521−52−2i−2i−2i−2i2i2i2i2i−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ3800000000-222i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ412222-2-2-222-222000022222200-2-2-2-2i2i2−i2−i2−i2−i2i2i2-2-22222-2-2000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i222-2-2000000000000000000000000-2200i2i2−i2−i2−i2−i2i2i20000
χ422222-2-2-222-222000022222200-2-2-2-2i2i2−i2−i2−i2−i2i2i2-2-22222-2-2000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-2-2220000000000000000000000002-200−i2−i2i2i2i2i2−i2−i20000
χ432222-2-2-222-222000022222200-2-2-2-2−i2−i2i2i2i2i2−i2−i2-2-22222-2-2000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222-2-2000000000000000000000000-2200−i2−i2i2i2i2i2−i2−i20000
χ442222-2-2-222-222000022222200-2-2-2-2−i2−i2i2i2i2i2−i2−i2-2-22222-2-2000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-2-2220000000000000000000000002-200i2i2−i2−i2−i2−i2i2i20000
χ4522-2-22-222-2-2220000-2-2-2-22200-2-2222−22−22−22−2222-22-2-2-20000000000002−22−22−22−22−22−22−22−200002i2i−2i−2i00000000000000000000002i−2ii2−i2i2−i2i2−i2i2−i20000
χ4622-2-22-222-2-2220000-2-2-2-22200-2-2222−22−22−22−2222-22-2-2-20000000000002−22−22−22−22−22−22−22−20000−2i−2i2i2i0000000000000000000000−2i2i−i2i2−i2i2−i2i2−i2i20000
χ4722-2-22-222-2-2220000-2-2-2-22200-2-222−22−22−22−22222-22-2-2-2000000000000−22−22−22−22−22−22−22−2200002i2i−2i−2i00000000000000000000002i−2i−i2i2−i2i2−i2i2−i2i20000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.