Finite Group Databasebeta

← Group #13017127

Character table — Group #13017127

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111111112222444444444444888888888888888810101010101010101010101010101010161616161616161620202020202020202020202020202020404040404040404040404040
order12224444888824588101010202020204488101020204040404040404040222244448888888820202020404040404444444488888888244444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i-1-1ii−i−i-1-1ii−i−i
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii-1-1−i−iii-1-1−i−iii
χ5111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11−i−iii11−i−iii
χ8111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11ii−i−i11ii−i−i
χ911111111-1-1-1-1111-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ1011111111-1-1-1-1111-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ1111111111-1-1-1-1111-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1−i−iii11ii−i−i
χ1211111111-1-1-1-1111-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1ii−i−i11−i−iii
χ1311111111-1-1-1-1111-1-11111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ1411111111-1-1-1-1111-1-11111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111
χ1511111111-1-1-1-1111-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11ii−i−i-1-1−i−iii
χ1611111111-1-1-1-1111-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11−i−iii-1-1ii−i−i
χ171111-1-1-1-1ii−i−i-111i−i111-1-1-1-11-1i−i-1-111iiii−i−i−i−i11-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−ii−ii−i1-11-1
χ181111-1-1-1-1ii−i−i-111i−i111-1-1-1-11-1i−i-1-111iiii−i−i−i−i11-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i-1-111-1-111−i−iii−i−iii1-1−ii−iii−i-11-11
χ191111-1-1-1-1ii−i−i-111i−i111-1-1-1-11-1i−i-1-111iiii−i−i−i−i-1-111-1-111−i−i−i−iiiii11-1-1ii−i−iii−i−i−i−iii-1-11111-1-1-11-111-1−iii−i−ii
χ201111-1-1-1-1ii−i−i-111i−i111-1-1-1-11-1i−i-1-111iiii−i−i−i−i-1-111-1-111−i−i−i−iiiii11-1-1ii−i−i−i−iiiii−i−i11-1-1-1-111-111-1-11−ii−iii−i
χ211111-1-1-1-1ii−i−i-111i−i111-1-1-1-1-11−ii-1-111iiii−i−i−i−i11-1-111-1-1iiii−i−i−i−i-1-111−i−iii11-1-111-1-1ii−i−iii−i−i-11−ii−ii−ii-11-11
χ221111-1-1-1-1ii−i−i-111i−i111-1-1-1-1-11−ii-1-111iiii−i−i−i−i11-1-111-1-1iiii−i−i−i−i-1-111−i−iii-1-111-1-111−i−iii−i−iii-11i−ii−i−ii1-11-1
χ231111-1-1-1-1ii−i−i-111i−i111-1-1-1-1-11−ii-1-111iiii−i−i−i−i-1-111-1-111−i−i−i−iiiii-1-111−i−iiiii−i−i−i−iii-1-11111-1-11-11-1-11i−i−iii−i
χ241111-1-1-1-1ii−i−i-111i−i111-1-1-1-1-11−ii-1-111iiii−i−i−i−i-1-111-1-111−i−i−i−iiiii-1-111−i−iii−i−iiiii−i−i11-1-1-1-1111-1-111-1i−ii−i−ii
χ251111-1-1-1-1−i−iii-111−ii111-1-1-1-11-1−ii-1-111−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii−ii−ii1-11-1
χ261111-1-1-1-1−i−iii-111−ii111-1-1-1-11-1−ii-1-111−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii11-1-1−i−iii-1-111-1-111ii−i−iii−i−i1-1i−ii−i−ii-11-11
χ271111-1-1-1-1−i−iii-111−ii111-1-1-1-11-1−ii-1-111−i−i−i−iiiii-1-111-1-111iiii−i−i−i−i11-1-1−i−iiiii−i−i−i−iii11-1-1-1-111-111-1-11i−ii−i−ii
χ281111-1-1-1-1−i−iii-111−ii111-1-1-1-11-1−ii-1-111−i−i−i−iiiii-1-111-1-111iiii−i−i−i−i11-1-1−i−iii−i−iiiii−i−i-1-11111-1-1-11-111-1i−i−iii−i
χ291111-1-1-1-1−i−iii-111−ii111-1-1-1-1-11i−i-1-111−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii-1-111ii−i−i11-1-111-1-1−i−iii−i−iii-11i−ii−ii−i-11-11
χ301111-1-1-1-1−i−iii-111−ii111-1-1-1-1-11i−i-1-111−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii-1-111ii−i−i-1-111-1-111ii−i−iii−i−i-11−ii−iii−i1-11-1
χ311111-1-1-1-1−i−iii-111−ii111-1-1-1-1-11i−i-1-111−i−i−i−iiiii-1-111-1-111iiii−i−i−i−i-1-111ii−i−iii−i−i−i−iii11-1-1-1-1111-1-111-1−ii−iii−i
χ321111-1-1-1-1−i−iii-111−ii111-1-1-1-1-11i−i-1-111−i−i−i−iiiii-1-111-1-111iiii−i−i−i−i-1-111ii−i−i−i−iiiii−i−i-1-11111-1-11-11-1-11−iii−i−ii
χ33222222222222-2-22-2-222222220000-2-2-2-222-2-222-2-222-2-2-2-22222-2-222-2-2000000000000000000000000000000000000
χ34222222222222-2-22-2-222222220000-2-2-2-222-2-222-2-2-2-22222-2-2-2-222-2-222000000000000000000000000000000000000
χ3522222222-2-2-2-2-2-222222222220000-2-2-2-2-2-222-2-22222-2-2-2-222-2-222-2-222000000000000000000000000000000000000
χ3622222222-2-2-2-2-2-222222222220000-2-2-2-2-2-222-2-222-2-22222-2-222-2-222-2-2000000000000000000000000000000000000
χ372222-2-2-2-22i2i−2i−2i2-22−2i2i222-2-2-2-2000022-2-22i2i−2i−2i−2i−2i2i2i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ382222-2-2-2-22i2i−2i−2i2-22−2i2i222-2-2-2-2000022-2-22i2i−2i−2i−2i−2i2i2i-2-2-2-22222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ392222-2-2-2-2−2i−2i2i2i2-222i−2i222-2-2-2-2000022-2-2−2i−2i2i2i2i2i−2i−2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ402222-2-2-2-2−2i−2i2i2i2-222i−2i222-2-2-2-2000022-2-2−2i−2i2i2i2i2i−2i−2i-2-2-2-222222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ4122-2-22i−2i2i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002002-2-22i−2i2i−2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900002-22i−2i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000001+i−1−i1−i−1+i1−i−1+i1+i−1−ii2−i22−22−2i2−i2000000000000
χ4222-2-22i−2i2i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002002-2-22i−2i2i−2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900002-22i−2i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i−i2i2−22−22−i2i2000000000000
χ4322-2-22i−2i2i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002002-2-22i−2i2i−2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000-22−2i2i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i2−2−i2i2i2−i2−22000000000000
χ4422-2-22i−2i2i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002002-2-22i−2i2i−2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000-22−2i2i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i−22i2−i2−i2i22−2000000000000
χ4522-2-22i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002002-2-22i−2i2i−2i000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002-22i−2i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i−i2i2−22−22−i2i2000000000000
χ4622-2-22i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002002-2-22i−2i2i−2i000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002-22i−2i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−1−i1+i−1+i1−i−1+i1−i−1−i1+ii2−i22−22−2i2−i2000000000000
χ4722-2-22i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002002-2-22i−2i2i−2i000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000-22−2i2i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i−22i2−i2−i2i22−2000000000000
χ4822-2-22i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002002-2-22i−2i2i−2i000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000-22−2i2i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i2−2−i2i2i2−i2−22000000000000
χ4922-2-2−2i2i−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002002-2-2−2i2i−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700002-2−2i2i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000001−i−1+i1+i−1−i1+i−1−i1−i−1+ii2−i2−22−22i2−i2000000000000
χ5022-2-2−2i2i−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002002-2-2−2i2i−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700002-2−2i2i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i−i2i22−22−2−i2i2000000000000
χ5122-2-2−2i2i−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002002-2-2−2i2i−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000-222i−2i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i−22−i2i2i2−i22−2000000000000
χ5222-2-2−2i2i−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002002-2-2−2i2i−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000-222i−2i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i2−2i2−i2−i2i2−22000000000000
χ5322-2-2−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002002-2-2−2i2i−2i2i000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002-2−2i2i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i−i2i22−22−2−i2i2000000000000
χ5422-2-2−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002002-2-2−2i2i−2i2i000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002-2−2i2i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000−1+i1−i−1−i1+i−1−i1+i−1+i1−ii2−i2−22−22i2−i2000000000000
χ5522-2-2−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002002-2-2−2i2i−2i2i000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000-222i−2i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i2−2i2−i2−i2i2−22000000000000
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χ898-8-8888-8-8000000-20022-2-2-222000025−2525−25000000000000000000000000000000000000000000000000000000000000
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χ918-8-88-8-888000000-20022-222-2-2000025−25−2525000000000000000000000000000000000000000000000000000000000000
χ928-8-88-8-888000000-20022-222-2-20000−252525−25000000000000000000000000000000000000000000000000000000000000

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