Finite Group Databasebeta

← Group #13017362

Character table — Group #13017362

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222224444444444444444444444444455555555888888888888888888888888101010101010101020202020202020202020202020202020202020202020202020204040404040404040
order12224444444488885888888888810101020202020202020202020202022224444404040404040404040404040404040404040404040404040444488884444444488888888888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii
χ51111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111111111iiii−i−i−i−i−i−iii−i−iii
χ81111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111111111−i−i−i−iiiiiii−i−iii−i−i
χ9111111111111-1-1-1-11-1-11111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ10111111111111-1-1-1-11-1-11111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ11111111111111-1-1-1-11-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iii
χ12111111111111-1-1-1-11-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i
χ13111111111111-1-1-1-11-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ14111111111111-1-1-1-11-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ15111111111111-1-1-1-11-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i111111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111-1-1-1-11-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiii111111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii
χ171111-1-1-1-111-1-1ii−i−i1i−i11-1-1ii−i−i1111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-111-1-1i−i11-1-1ii−i−iii−i−iii−i−i1-11-1i−ii−i
χ181111-1-1-1-111-1-1ii−i−i1i−i11-1-1ii−i−i1111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i-1-111-1-111i−i11-1-1ii−i−i−i−iii−i−iii-11-11−ii−ii
χ191111-1-1-1-111-1-1ii−i−i1i−i11-1-1ii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiii−i−i−i−iii−ii-1-111−i−iii-1-11111-1-1i−i−ii-111-1
χ201111-1-1-1-111-1-1ii−i−i1i−i11-1-1ii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−i−iiiii−i−i−ii-1-111−i−iii11-1-1-1-111−iii−i1-1-11
χ211111-1-1-1-111-1-1ii−i−i1i−i-1-111−i−iii1111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i11-1-111-1-1i−i-1-111−i−iiiii−i−iii−i−i-11-11−ii−ii
χ221111-1-1-1-111-1-1ii−i−i1i−i-1-111−i−iii1111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111-1-111i−i-1-111−i−iii−i−iii−i−iii1-11-1i−ii−i
χ231111-1-1-1-111-1-1ii−i−i1i−i-1-111−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iiiii−i−i−i−iii−ii11-1-1ii−i−i-1-11111-1-1−iii−i1-1-11
χ241111-1-1-1-111-1-1ii−i−i1i−i-1-111−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii−i−iiiii−i−i−ii11-1-1ii−i−i11-1-1-1-111i−i−ii-111-1
χ251111-1-1-1-111-1-1−i−iii1−ii11-1-1−i−iii1111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-111-1-1−ii11-1-1−i−iii−i−iii−i−iii1-11-1−ii−ii
χ261111-1-1-1-111-1-1−i−iii1−ii11-1-1−i−iii1111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii-1-111-1-111−ii11-1-1−i−iiiii−i−iii−i−i-11-11i−ii−i
χ271111-1-1-1-111-1-1−i−iii1−ii11-1-1−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i−i−iiii−i-1-111ii−i−i11-1-1-1-111i−i−ii1-1-11
χ281111-1-1-1-111-1-1−i−iii1−ii11-1-1−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−i−iiiii−i−ii−i-1-111ii−i−i-1-11111-1-1−iii−i-111-1
χ291111-1-1-1-111-1-1−i−iii1−ii-1-111ii−i−i1111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii11-1-111-1-1−ii-1-111ii−i−i−i−iii−i−iii-11-11i−ii−i
χ301111-1-1-1-111-1-1−i−iii1−ii-1-111ii−i−i1111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111-1-111−ii-1-111ii−i−iii−i−iii−i−i1-11-1−ii−ii
χ311111-1-1-1-111-1-1−i−iii1−ii-1-111ii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−iii−i−i−i−iiii−i11-1-1−i−iii11-1-1-1-111−iii−i-111-1
χ321111-1-1-1-111-1-1−i−iii1−ii-1-111ii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i−i−iiiii−i−ii−i11-1-1−i−iii-1-11111-1-1i−i−ii1-1-11
χ3322222222-2-2-2-222222-2-200000000222-2-2-2-22222-2-2-2-22222222222-2-222-2-20000000000000000-2-2-2-2222200000000-2-2000000000000000000000000
χ3422222222-2-2-2-222222-2-200000000222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-200000000000000002222-2-2-2-20000000022000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-222200000000222-2-2-2-22222-2-2-2-222222222-2-222-2-2220000000000000000-2-2-2-2-2-2-2-20000000022000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-222200000000222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000000000002222222200000000-2-2000000000000000000000000
χ372222-2-2-2-2-2-2222i2i−2i−2i2−2i2i00000000222-2-2-2-2-2-2-2-222222222-2-2-2-22i2i−2i−2i−2i−2i2i2i0000000000000000-2-2222i2i−2i−2i00000000−2i2i000000000000000000000000
χ382222-2-2-2-2-2-2222i2i−2i−2i2−2i2i00000000222-2-2-2-2-2-2-2-22222-2-2-2-222222i2i−2i−2i−2i−2i2i2i000000000000000022-2-2−2i−2i2i2i000000002i−2i000000000000000000000000
χ392222-2-2-2-2-2-222−2i−2i2i2i22i−2i00000000222-2-2-2-2-2-2-2-222222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000-2-222−2i−2i2i2i000000002i−2i000000000000000000000000
χ402222-2-2-2-2-2-222−2i−2i2i2i22i−2i00000000222-2-2-2-2-2-2-2-22222-2-2-2-22222−2i−2i2i2i2i2i−2i−2i000000000000000022-2-22i2i−2i−2i00000000−2i2i000000000000000000000000
χ4122-2-222-2-200002-22-22002−22−22−22−22-2-2000022-2-2000022-2-222-2-22-2002-20022−2−222−2−222−2−222−2−200002-22-200000000002−22−22−22−20000000000000000
χ4222-2-222-2-200002-22-22002−22−22−22−22-2-2000022-2-20000-2-222-2-2222-2002-20022−2−222−2−222−2−222−2−20000-22-220000000000−22−22−22−220000000000000000
χ4322-2-222-2-200002-22-2200−22−22−22−222-2-2000022-2-2000022-2-222-2-22-2002-200−2−222−2−222−2−222−2−22200002-22-20000000000−22−22−22−220000000000000000
χ4422-2-222-2-200002-22-2200−22−22−22−222-2-2000022-2-20000-2-222-2-2222-2002-200−2−222−2−222−2−222−2−2220000-22-2200000000002−22−22−22−20000000000000000
χ4522-2-222-2-20000-22-222002−22−2−22−222-2-2000022-2-2000022-2-222-2-2-2200-220022−2−222−2−2−2−222−2−2220000-22-2200000000002−22−2−22−220000000000000000
χ4622-2-222-2-20000-22-222002−22−2−22−222-2-2000022-2-20000-2-222-2-222-2200-220022−2−222−2−2−2−222−2−22200002-22-20000000000−22−222−22−20000000000000000
χ4722-2-222-2-20000-22-22200−22−222−22−22-2-2000022-2-2000022-2-222-2-2-2200-2200−2−222−2−22222−2−222−2−20000-22-220000000000−22−222−22−20000000000000000
χ4822-2-222-2-20000-22-22200−22−222−22−22-2-2000022-2-20000-2-222-2-222-2200-2200−2−222−2−22222−2−222−2−200002-22-200000000002−22−2−22−220000000000000000
χ4922-2-2-2-22200002i−2i−2i2i2002−2−22i2−i2−i2i22-2-20000-2-222000022-2-2-2-2222i−2i00−2i2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i200002i−2i−2i2i00000000002−2−22i2−i2−i2i20000000000000000
χ5022-2-2-2-22200002i−2i−2i2i2002−2−22i2−i2−i2i22-2-20000-2-2220000-2-22222-2-22i−2i00−2i2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000−2i2i2i−2i0000000000−222−2−i2i2i2−i20000000000000000
χ5122-2-2-2-22200002i−2i−2i2i200−222−2−i2i2i2−i22-2-20000-2-222000022-2-2-2-2222i−2i00−2i2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i200002i−2i−2i2i0000000000−222−2−i2i2i2−i20000000000000000
χ5222-2-2-2-22200002i−2i−2i2i200−222−2−i2i2i2−i22-2-20000-2-2220000-2-22222-2-22i−2i00−2i2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000−2i2i2i−2i00000000002−2−22i2−i2−i2i20000000000000000
χ5322-2-2-2-2220000−2i2i2i−2i2002−2−22−i2i2i2−i22-2-20000-2-222000022-2-2-2-222−2i2i002i−2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000−2i2i2i−2i00000000002−2−22−i2i2i2−i20000000000000000
χ5422-2-2-2-2220000−2i2i2i−2i2002−2−22−i2i2i2−i22-2-20000-2-2220000-2-22222-2-2−2i2i002i−2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i200002i−2i−2i2i0000000000−222−2i2−i2−i2i20000000000000000
χ5522-2-2-2-2220000−2i2i2i−2i200−222−2i2−i2−i2i22-2-20000-2-222000022-2-2-2-222−2i2i002i−2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000−2i2i2i−2i0000000000−222−2i2−i2−i2i20000000000000000
χ5622-2-2-2-2220000−2i2i2i−2i200−222−2i2−i2−i2i22-2-20000-2-2220000-2-22222-2-2−2i2i002i−2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i200002i−2i−2i2i00000000002−2−22−i2i2i2−i20000000000000000
χ572-22-22i−2i2i−2i2-22i−2i000020000000000-22-222-2-22i−2i2i−2i2i2i−2i−2i2-22-22i−2i2i−2i0000000000000000000000002-22i−2i0000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ582-22-22i−2i2i−2i2-22i−2i000020000000000-22-222-2-22i−2i2i−2i2i2i−2i−2i2-22-22i−2i2i−2i0000000000000000000000002-22i−2i00000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ592-22-22i−2i2i−2i2-22i−2i000020000000000-22-222-2-22i−2i2i−2i2i2i−2i−2i-22-22−2i2i−2i2i000000000000000000000000-22−2i2i0000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ602-22-22i−2i2i−2i2-22i−2i000020000000000-22-222-2-22i−2i2i−2i2i2i−2i−2i-22-22−2i2i−2i2i000000000000000000000000-22−2i2i00000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ612-22-22i−2i2i−2i-22−2i2i000020000000000-22-2-2-2222i−2i2i−2i−2i−2i2i2i2-22-22i−2i2i−2i000000000000000000000000-22−2i2i00002-22i−2i2-22i−2i00000000000000000000000000
χ622-22-22i−2i2i−2i-22−2i2i000020000000000-22-2-2-2222i−2i2i−2i−2i−2i2i2i2-22-22i−2i2i−2i000000000000000000000000-22−2i2i0000-22−2i2i-22−2i2i00000000000000000000000000
χ632-22-22i−2i2i−2i-22−2i2i000020000000000-22-2-2-2222i−2i2i−2i−2i−2i2i2i-22-22−2i2i−2i2i0000000000000000000000002-22i−2i00002i−2i-22−2i2i2-200000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.