Finite Group Databasebeta

← Group #13031802

Character table — Group #13031802

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222224444444455555555888888888888888810101010101010101010101010101010101010101010101010101010101010101010101010101010101010101616161616161616404040404040404040404040
order12224444444488888888510101020202020444444444444202020204040404040404040224488888888888888888888888888888888888888882020202020202020224488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−i−i−iiiii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i
χ9111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11-11-1-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-11-1111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-11-11ii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-11-11−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111-11-1−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111-11-1ii−i−i−i−iii
χ171111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-1111111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-1i−ii−ii−ii−i
χ181111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-1111111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-1−ii−ii−ii−ii
χ191111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1111111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111−ii−ii−ii−ii
χ201111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1111111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111i−ii−ii−ii−i
χ211111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-11-1-11-11
χ221111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-11-111-11-1
χ231111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-11-111-11-1
χ241111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-11-11-1-11-11
χ251111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1111-1-11i−i−iii−i−ii
χ261111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1111-1-11−iii−i−iii−i
χ271111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-111-1−iii−i−iii−i
χ281111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-111-1i−i−iii−i−ii
χ291111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-11-1-11-111-1
χ301111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-11-1-11
χ311111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11-111-11-1-11
χ321111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-1-11-111-1
χ3322222222-2-2-2-20000000022222222222222220000-2-2-2-200000000-2-2-2-20000000022-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ3422222222-2-2-2-20000000022222222222222220000-2-2-2-200000000-2-2-2-200000000-2-222-2-222-2-222-2-222000000000000000000000000000000000000
χ3522222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-20000-2-2-2-2000000002222000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ3622222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-20000-2-2-2-200000000222200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ372222-2-2-2-222-2-2000000002222-2-2-2-22222-2-2-2-2000022-2-200000000-2-222000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ382222-2-2-2-222-2-2000000002222-2-2-2-22222-2-2-2-2000022-2-200000000-2-22200000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ392222-2-2-2-222-2-2000000002222-2-2-2-2-2-2-2-22222000022-2-20000000022-2-20000000022-2-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ402222-2-2-2-222-2-2000000002222-2-2-2-2-2-2-2-22222000022-2-20000000022-2-200000000-2-22222-2-222-2-2-2-222000000000000000000000000000000000000
χ4122-2-22i2i−2i−2i000022−2−2i2i2−i2−i22-22-22i2i−2i−2i2i2i−2i−2i22-2-20000000022−2−2i2i2−i2−i20000i2i2−i2−i222−2−2002i−2i002-2002-2002i−2ii2i2−i2−i222−2−222−2−2i2i2−i2−i200000000000000000000
χ4222-2-22i2i−2i−2i000022−2−2i2i2−i2−i22-22-22i2i−2i−2i2i2i−2i−2i22-2-20000000022−2−2i2i2−i2−i20000i2i2−i2−i222−2−200−2i2i00-2200-2200−2i2i−i2−i2i2i2−2−222−2−222−i2−i2i2i200000000000000000000
χ4322-2-22i2i−2i−2i000022−2−2i2i2−i2−i22-22-22i2i−2i−2i−2i−2i2i2i-2-2220000000022−2−2i2i2−i2−i20000−i2−i2i2i2−2−222002-200−2i2i002i−2i00-2222−2−2−i2−i2i2i2i2i2−i2−i2−2−22200000000000000000000
χ4422-2-22i2i−2i−2i000022−2−2i2i2−i2−i22-22-22i2i−2i−2i−2i−2i2i2i-2-2220000000022−2−2i2i2−i2−i20000−i2−i2i2i2−2−22200-22002i−2i00−2i2i002-2−2−222i2i2−i2−i2−i2−i2i2i222−2−200000000000000000000
χ4522-2-22i2i−2i−2i0000−2−222−i2−i2i2i22-22-22i2i−2i−2i2i2i−2i−2i22-2-200000000−2−222−i2−i2i2i20000−i2−i2i2i2−2−222002i−2i002-2002-2002i−2i−i2−i2i2i2−2−222−2−222−i2−i2i2i200000000000000000000
χ4622-2-22i2i−2i−2i0000−2−222−i2−i2i2i22-22-22i2i−2i−2i2i2i−2i−2i22-2-200000000−2−222−i2−i2i2i20000−i2−i2i2i2−2−22200−2i2i00-2200-2200−2i2ii2i2−i2−i222−2−222−2−2i2i2−i2−i200000000000000000000
χ4722-2-22i2i−2i−2i0000−2−222−i2−i2i2i22-22-22i2i−2i−2i−2i−2i2i2i-2-22200000000−2−222−i2−i2i2i20000i2i2−i2−i222−2−2002-200−2i2i002i−2i00-22−2−222i2i2−i2−i2−i2−i2i2i222−2−200000000000000000000
χ4822-2-22i2i−2i−2i0000−2−222−i2−i2i2i22-22-22i2i−2i−2i−2i−2i2i2i-2-22200000000−2−222−i2−i2i2i20000i2i2−i2−i222−2−200-22002i−2i00−2i2i002-222−2−2−i2−i2i2i2i2i2−i2−i2−2−22200000000000000000000
χ4922-2-2−2i−2i2i2i000022−2−2−i2−i2i2i22-22-2−2i−2i2i2i2i2i−2i−2i-2-2220000000022−2−2−i2−i2i2i20000i2i2−i2−i2−2−222002-2002i−2i00−2i2i00-2222−2−2i2i2−i2−i2−i2−i2i2i2−2−22200000000000000000000
χ5022-2-2−2i−2i2i2i000022−2−2−i2−i2i2i22-22-2−2i−2i2i2i2i2i−2i−2i-2-2220000000022−2−2−i2−i2i2i20000i2i2−i2−i2−2−22200-2200−2i2i002i−2i002-2−2−222−i2−i2i2i2i2i2−i2−i222−2−200000000000000000000
χ5122-2-2−2i−2i2i2i000022−2−2−i2−i2i2i22-22-2−2i−2i2i2i−2i−2i2i2i22-2-20000000022−2−2−i2−i2i2i20000−i2−i2i2i222−2−2002i−2i00-2200-22002i−2ii2i2−i2−i2−2−222−2−222i2i2−i2−i200000000000000000000
χ5222-2-2−2i−2i2i2i000022−2−2−i2−i2i2i22-22-2−2i−2i2i2i−2i−2i2i2i22-2-20000000022−2−2−i2−i2i2i20000−i2−i2i2i222−2−200−2i2i002-2002-200−2i2i−i2−i2i2i222−2−222−2−2−i2−i2i2i200000000000000000000
χ5322-2-2−2i−2i2i2i0000−2−222i2i2−i2−i22-22-2−2i−2i2i2i2i2i−2i−2i-2-22200000000−2−222i2i2−i2−i20000−i2−i2i2i222−2−2002-2002i−2i00−2i2i00-22−2−222−i2−i2i2i2i2i2−i2−i222−2−200000000000000000000
χ5422-2-2−2i−2i2i2i0000−2−222i2i2−i2−i22-22-2−2i−2i2i2i2i2i−2i−2i-2-22200000000−2−222i2i2−i2−i20000−i2−i2i2i222−2−200-2200−2i2i002i−2i002-222−2−2i2i2−i2−i2−i2−i2i2i2−2−22200000000000000000000
χ5522-2-2−2i−2i2i2i0000−2−222i2i2−i2−i22-22-2−2i−2i2i2i−2i−2i2i2i22-2-200000000−2−222i2i2−i2−i20000i2i2−i2−i2−2−222002i−2i00-2200-22002i−2i−i2−i2i2i222−2−222−2−2−i2−i2i2i200000000000000000000
χ5622-2-2−2i−2i2i2i0000−2−222i2i2−i2−i22-22-2−2i−2i2i2i−2i−2i2i2i22-2-200000000−2−222i2i2−i2−i20000i2i2−i2−i2−2−22200−2i2i002-2002-200−2i2ii2i2−i2−i2−2−222−2−222i2i2−i2−i200000000000000000000
χ572-22-22i−2i2i−2i2i−2i2-2000000002-2-222i−2i2i−2i2-22-22i−2i2i−2i00002i−2i2-2000000002-22i−2i000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
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χ1014-44-4−4i4i−4i4i4i−4i-444-44-4−4i4i−4i4i-111-1i−ii−i000000000000−ii1-1-11-11i−ii−i000000000000000000000000000000000000000000005−5−i5i55−5−i5i5000000000000
χ1024-44-4−4i4i−4i4i4i−4i-444-44-4−4i4i−4i4i-111-1i−ii−i000000000000−ii1-1-11-11i−ii−i00000000000000000000000000000000000000000000−55i5−i5−55i5−i5000000000000
χ1034-44-4−4i4i−4i4i4i−4i-44-44-444i−4i4i−4i-111-1i−ii−i000000000000−ii1-11-11-1−ii−ii000000000000000000000000000000000000000000005−5−i5i5−55i5−i5000000000000
χ1044-44-4−4i4i−4i4i4i−4i-44-44-444i−4i4i−4i-111-1i−ii−i000000000000−ii1-11-11-1−ii−ii00000000000000000000000000000000000000000000−55i5−i55−5−i5i5000000000000
χ10588888888-8-8-8-800000000-2-2-2-2-2-2-2-20000000000002222000000000000000000000000000000000000000000000000000000000000000000000000
χ1068888-8-8-8-888-8-800000000-2-2-2-22222000000000000-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-88i8i−8i−8i00004242−42−424i24i2−4i2−4i2-22-22−2i−2i2i2i0000000000000000−2−222−i2−i2i2i20000000000000000000000000000000000000000000000000000000000000000
χ10888-8-88i8i−8i−8i0000−42−424242−4i2−4i24i24i2-22-22−2i−2i2i2i000000000000000022−2−2i2i2−i2−i20000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8−8i−8i8i8i00004242−42−42−4i2−4i24i24i2-22-222i2i−2i−2i0000000000000000−2−222i2i2−i2−i20000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8−8i−8i8i8i0000−42−4242424i24i2−4i2−4i2-22-222i2i−2i−2i000000000000000022−2−2−i2−i2i2i20000000000000000000000000000000000000000000000000000000000000000
χ1118-88-88i−8i8i−8i8i−8i8-800000000-222-2−2i2i−2i2i000000000000−2i2i-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8−8i8i−8i8i−8i8i8-800000000-222-22i−2i2i−2i0000000000002i−2i-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-8-88000042−42−424242−42−4242-2-222-222-20000000000000000−222−2−222−20000000000000000000000000000000000000000000000000000000000000000
χ1148-8-888-8-880000−424242−42−424242−42-2-222-222-200000000000000002−2−222−2−220000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-888-8000042−42−4242−424242−42-2-2222-2-220000000000000000−222−22−2−220000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-888-80000−424242−4242−42−4242-2-2222-2-2200000000000000002−2−22−222−20000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.