Finite Group Databasebeta

← Group #13016935

Character table — Group #13016935

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222224444444455555555888888888888888810101010101010101010101010101010101010101010101010101010101010101010101010101010101010101616161616161616404040404040404040404040
order12224444444488888888510101020202020444444442488202020204040404040404040224444444444444444448888888888888888888888881010202040404040448888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1ii−i−iii−i−i
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−iii−i−iii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−iii−i−iii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111ii−i−iii−i−i
χ9111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-11111
χ11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ12111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1111111-1-1-1-1
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-111ii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-111−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-1-1−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−iii
χ171111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-1i−i11-1-1iiii−i−i−i−i11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1-1i−i1-11-1i−ii−i
χ181111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-1i−i11-1-1iiii−i−i−i−i11-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i1-1i−i-11-11−ii−ii
χ191111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11−ii11-1-1iiii−i−i−i−i11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-11−ii-11-11−ii−ii
χ201111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11−ii11-1-1iiii−i−i−i−i11-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iii-11−ii1-11-1i−ii−i
χ211111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1i−i11-1-1iiii−i−i−i−i-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-1ii−i−i-11−iii−i−ii-111-1
χ221111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1i−i11-1-1iiii−i−i−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1ii−i−i-11−ii−iii−i1-1-11
χ231111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-11−ii11-1-1iiii−i−i−i−i-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111−i−iii1-1i−i−iii−i1-1-11
χ241111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-11−ii11-1-1iiii−i−i−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111−i−iii1-1i−ii−i−ii-111-1
χ251111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-1−ii11-1-1−i−i−i−iiiii11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1-1−ii1-11-1−ii−ii
χ261111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-1−ii11-1-1−i−i−i−iiiii11-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii1-1−ii-11-11i−ii−i
χ271111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11i−i11-1-1−i−i−i−iiiii11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-11i−i-11-11i−ii−i
χ281111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11i−i11-1-1−i−i−i−iiiii11-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−i-11i−i1-11-1−ii−ii
χ291111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1−ii11-1-1−i−i−i−iiiii-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1−i−iii-11i−ii−i−ii1-1-11
χ301111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1−ii11-1-1−i−i−i−iiiii-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-1−i−iii-11i−i−iii−i-111-1
χ311111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-11i−i11-1-1−i−i−i−iiiii-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111ii−i−i1-1−ii−iii−i-111-1
χ321111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-11i−i11-1-1−i−i−i−iiiii-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111ii−i−i1-1−iii−i−ii1-1-11
χ3322222222-2-2-2-20000000022222222222222220000-2-2-2-200000000-2-2-2-200000000000000000000000022-2-222-2-222-2-222-2-200000000000000000000
χ3422222222-2-2-2-20000000022222222222222220000-2-2-2-200000000-2-2-2-2000000000000000000000000-2-222-2-222-2-222-2-22200000000000000000000
χ3522222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-20000-2-2-2-20000000022220000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ3622222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-20000-2-2-2-2000000002222000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000
χ372222-2-2-2-2-2-222000000002222-2-2-2-22222-2-2-2-20000-2-22200000000-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000
χ382222-2-2-2-2-2-222000000002222-2-2-2-22222-2-2-2-20000-2-22200000000-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ392222-2-2-2-2-2-222000000002222-2-2-2-2-2-2-2-222220000-2-2220000000022-2-200000000000000000000000022-2-2-2-222-2-22222-2-200000000000000000000
χ402222-2-2-2-2-2-222000000002222-2-2-2-2-2-2-2-222220000-2-2220000000022-2-2000000000000000000000000-2-22222-2-222-2-2-2-22200000000000000000000
χ4122-2-222-2-2000022−2−222−2−22-2-22-2-2222i2i−2i−2i2i2i−2i−2i0000000022−2−222−2−200001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+ii2i2−i2−i2i2i2−i2−i200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000
χ4222-2-222-2-2000022−2−222−2−22-2-22-2-2222i2i−2i−2i2i2i−2i−2i0000000022−2−222−2−20000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−ii2i2−i2−i2i2i2−i2−i2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
χ4322-2-222-2-2000022−2−222−2−22-2-22-2-222−2i−2i2i2i−2i−2i2i2i0000000022−2−222−2−200001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−i2−i2i2i2−i2−i2i2i2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000
χ4422-2-222-2-2000022−2−222−2−22-2-22-2-222−2i−2i2i2i−2i−2i2i2i0000000022−2−222−2−20000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−i2−i2i2i2−i2−i2i2i200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
χ4522-2-222-2-20000−2−222−2−2222-2-22-2-2222i2i−2i−2i2i2i−2i−2i00000000−2−222−2−22200001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−i2−i2i2i2−i2−i2i2i2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
χ4622-2-222-2-20000−2−222−2−2222-2-22-2-2222i2i−2i−2i2i2i−2i−2i00000000−2−222−2−2220000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−i2−i2i2i2−i2−i2i2i200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000
χ4722-2-222-2-20000−2−222−2−2222-2-22-2-222−2i−2i2i2i−2i−2i2i2i00000000−2−222−2−22200001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−ii2i2−i2−i2i2i2−i2−i200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
χ4822-2-222-2-20000−2−222−2−2222-2-22-2-222−2i−2i2i2i−2i−2i2i2i00000000−2−222−2−2220000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+ii2i2−i2−i2i2i2−i2−i2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000
χ4922-2-2-2-2220000i2i2−i2−i2−i2−i2i2i22-2-2222-2-22i2i−2i−2i−2i−2i2i2i00000000i2i2−i2−i2−i2−i2i2i200001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−2−22222−2−200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
χ5022-2-2-2-2220000i2i2−i2−i2−i2−i2i2i22-2-2222-2-22i2i−2i−2i−2i−2i2i2i00000000i2i2−i2−i2−i2−i2i2i20000−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−2−22222−2−2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.