Finite Group Databasebeta

← Group #13022293

Character table — Group #13022293

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222224444444455555555888888888888888810101010101010101010101010101010101010101010101010101010101010101010101010101010101010101616161616161616404040404040404040404040
order12224444224444444444510101020202020222244442488101020202020202020202020224444444444888888888888888888888888888888881010202040404040244444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
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
χ4111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
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−i11111111-1-1ii−i−i-1-1ii−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−i−iii-1-1−i−iii
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-1-1-1-1-1-1-1-111−i−iii11−i−iii
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-1-1-1-1-1-1-1-111ii−i−i11ii−i−i
χ9111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ10111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ12111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1111111
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1−i−iii11ii−i−i
χ14111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1ii−i−i11−i−iii
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111ii−i−i-1-1−i−iii
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111−i−iii-1-1ii−i−i
χ171111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-1i−i-1-111iiii−i−i−i−i-1-11iiii−i−i−i−i1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1ii−i−i1-11-11-1i−ii−ii−i
χ181111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-1i−i-1-111iiii−i−i−i−i-1-11iiii−i−i−i−i1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1ii−i−i1-1-11-11i−i−ii−ii
χ191111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11−ii-1-111iiii−i−i−i−i-1-11iiii−i−i−i−i1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111−i−iii-11-11-11−ii−ii−ii
χ201111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11−ii-1-111iiii−i−i−i−i-1-11iiii−i−i−i−i1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-111−i−iii-111-11-1−iii−ii−i
χ211111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1i−i-1-111iiii−i−i−i−i11-1−i−i−i−iiiii-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i-11−iii−i−ii1-1-11
χ221111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1i−i-1-111iiii−i−i−i−i11-1−i−i−i−iiiii-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-11i−i−ii−ii-111-1
χ231111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-11−ii-1-111iiii−i−i−i−i11-1−i−i−i−iiiii-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii1-1i−i−iii−i-111-1
χ241111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-11−ii-1-111iiii−i−i−i−i11-1−i−i−i−iiiii-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii1-1−iii−ii−i1-1-11
χ251111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-1−ii-1-111−i−i−i−iiiii-1-11−i−i−i−iiiii1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−i−iii1-1-11-11−iii−ii−i
χ261111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-1−ii-1-111−i−i−i−iiiii-1-11−i−i−i−iiiii1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−i−iii1-11-11-1−ii−ii−ii
χ271111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11i−i-1-111−i−i−i−iiiii-1-11−i−i−i−iiiii1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-111ii−i−i-111-11-1i−i−ii−ii
χ281111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11i−i-1-111−i−i−i−iiiii-1-11−i−i−i−iiiii1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111ii−i−i-11-11-11i−ii−ii−i
χ291111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1−ii-1-111−i−i−i−iiiii11-1iiii−i−i−i−i-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iii-11i−i−iii−i1-1-11
χ301111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1−ii-1-111−i−i−i−iiiii11-1iiii−i−i−i−i-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii-11−iii−ii−i-111-1
χ311111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-11i−i-1-111−i−i−i−iiiii11-1iiii−i−i−i−i-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i1-1−iii−i−ii-111-1
χ321111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-11i−i-1-111−i−i−i−iiiii11-1iiii−i−i−i−i-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i1-1i−i−ii−ii1-1-11
χ3322222222-2-2-2-20000000022222222222222220000-2-2-2-200000000-2-2-200000000-222-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ3422222222-2-2-2-20000000022222222222222220000-2-2-2-200000000-2-2-200000000-2-2-222-2-222-2-222-2-222000000000000000000000000000000000000
χ3522222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-20000-2-2-2-2000000002220000000022i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ3622222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-20000-2-2-2-200000000222000000002−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ372222-2-2-2-222-2-2000000002222-2-2-2-22222-2-2-2-2000022-2-20000000022-200000000-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ382222-2-2-2-222-2-2000000002222-2-2-2-22222-2-2-2-2000022-2-20000000022-200000000-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ392222-2-2-2-222-2-2000000002222-2-2-2-2-2-2-2-22222000022-2-200000000-2-2200000000222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ402222-2-2-2-222-2-2000000002222-2-2-2-2-2-2-2-22222000022-2-200000000-2-22000000002-2-22222-2-222-2-2-2-222000000000000000000000000000000000000
χ4122-2-22i−2i2i−2i00001+i1+i−1−i−1−i1−i1−i−1+i−1+i22-2-22i−2i2i−2i2-22-22i2i−2i−2i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37i2i2−i2−i222−2−2i2i2−i2−i222−2−200000000000000000000
χ4222-2-22i−2i2i−2i00001+i1+i−1−i−1−i1−i1−i−1+i−1+i22-2-22i−2i2i−2i2-22-22i2i−2i−2i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−i2−i2i2i2−2−222−i2−i2i2i2−2−22200000000000000000000
χ4322-2-22i−2i2i−2i00001+i1+i−1−i−1−i1−i1−i−1+i−1+i22-2-22i−2i2i−2i-22-22−2i−2i2i2i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3922−2−2−i2−i2i2i2−2−222i2i2−i2−i200000000000000000000
χ4422-2-22i−2i2i−2i00001+i1+i−1−i−1−i1−i1−i−1+i−1+i22-2-22i−2i2i−2i-22-22−2i−2i2i2i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2−222i2i2−i2−i222−2−2−i2−i2i2i200000000000000000000
χ4522-2-22i−2i2i−2i0000−1−i−1−i1+i1+i−1+i−1+i1−i1−i22-2-22i−2i2i−2i2-22-22i2i−2i−2i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−i2−i2i2i2−2−222−i2−i2i2i2−2−22200000000000000000000
χ4622-2-22i−2i2i−2i0000−1−i−1−i1+i1+i−1+i−1+i1−i1−i22-2-22i−2i2i−2i2-22-22i2i−2i−2i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37i2i2−i2−i222−2−2i2i2−i2−i222−2−200000000000000000000
χ4722-2-22i−2i2i−2i0000−1−i−1−i1+i1+i−1+i−1+i1−i1−i22-2-22i−2i2i−2i-22-22−2i−2i2i2i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2−222i2i2−i2−i222−2−2−i2−i2i2i200000000000000000000
χ4822-2-22i−2i2i−2i0000−1−i−1−i1+i1+i−1+i−1+i1−i1−i22-2-22i−2i2i−2i-22-22−2i−2i2i2i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3922−2−2−i2−i2i2i2−2−222i2i2−i2−i200000000000000000000
χ4922-2-2−2i2i−2i2i00001−i1−i−1+i−1+i1+i1+i−1−i−1−i22-2-2−2i2i−2i2i2-22-2−2i−2i2i2i000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39i2i2−i2−i2−2−222i2i2−i2−i2−2−22200000000000000000000
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χ1044-4-44-4-444-444-4-444-4-444-4-111-111-1-10000000000001-1-111-1-111-1-1100000000000000000000000000000000000000000000−555−55−5−55000000000000
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χ1148-88-8−8i8i8i−8i0000−4−4i4+4i−4−4i4+4i−4+4i4−4i−4+4i4−4i-22-222i−2i−2i2i00000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8888-8-8-88-8800000000-222-2-2-2220000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-8-8888-8-8800000000-222-222-2-2000000000000-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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