Finite Group Databasebeta

← Group #13034623

Character table — Group #13034623

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222224444444444444444444444444455555555888888888888888888888888101010101010101020202020202020202020202020202020202020202020202020204040404040404040
order12222222444444444444444444510101010101010202020202020202044444444202020202020202020202020202020202020202020202020444444442244444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ5111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ9111111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ12111111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ13111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ15111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711111111-1-1-1-11111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111111-1-1-1-11111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-11-11-11-11
χ1911111111-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2011111111-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2111111111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11-11-11-11
χ2211111111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-11-11-1
χ2311111111-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ2411111111-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ2511111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2611111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1
χ2711111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ2811111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ2911111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1-111-1
χ3011111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-11-1-111-1-11
χ3111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-111-1-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ332222-2-2-2-2000022-2-200000000002-2-22-2-2222222-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002i2i−2i−2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ342222-2-2-2-2000022-2-200000000002-2-22-2-2222222-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002i2i−2i−2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ352222-2-2-2-2000022-2-200000000002-2-22-2-2222222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2i−2i2i2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ362222-2-2-2-2000022-2-200000000002-2-22-2-2222222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2i−2i2i2i00000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ372222-2-2-2-20000-2-22200000000002-2-22-2-222-2-2-2-222222i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ382222-2-2-2-20000-2-22200000000002-2-22-2-222-2-2-2-222222i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ392222-2-2-2-20000-2-22200000000002-2-22-2-222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ402222-2-2-2-20000-2-22200000000002-2-22-2-222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i00000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ4122-2-22-22-222-2-2000000002i−2i002i−2i22-2-22-22-20000000022-2-222-2-200002i2i−2i−2i22-2-2000000002i2i−2i−2i000022-2-2002i−2i00002i−2i000000000000000000000000
χ4222-2-22-22-222-2-2000000002i−2i002i−2i22-2-22-22-200000000-2-222-2-22200002i2i−2i−2i22-2-2000000002i2i−2i−2i0000-2-22200−2i2i0000−2i2i000000000000000000000000
χ4322-2-22-22-222-2-200000000−2i2i00−2i2i22-2-22-22-20000000022-2-222-2-20000−2i−2i2i2i22-2-200000000−2i−2i2i2i000022-2-200−2i2i0000−2i2i000000000000000000000000
χ4422-2-22-22-222-2-200000000−2i2i00−2i2i22-2-22-22-200000000-2-222-2-2220000−2i−2i2i2i22-2-200000000−2i−2i2i2i0000-2-222002i−2i00002i−2i000000000000000000000000
χ4522-2-22-22-2-2-222000000002i−2i00−2i2i22-2-22-22-20000000022-2-222-2-20000−2i−2i2i2i-2-222000000002i2i−2i−2i0000-2-22200−2i2i00002i−2i000000000000000000000000
χ4622-2-22-22-2-2-222000000002i−2i00−2i2i22-2-22-22-200000000-2-222-2-2220000−2i−2i2i2i-2-222000000002i2i−2i−2i000022-2-2002i−2i0000−2i2i000000000000000000000000
χ4722-2-22-22-2-2-22200000000−2i2i002i−2i22-2-22-22-20000000022-2-222-2-200002i2i−2i−2i-2-22200000000−2i−2i2i2i0000-2-222002i−2i0000−2i2i000000000000000000000000
χ4822-2-22-22-2-2-22200000000−2i2i002i−2i22-2-22-22-200000000-2-222-2-22200002i2i−2i−2i-2-22200000000−2i−2i2i2i000022-2-200−2i2i00002i−2i000000000000000000000000
χ492-22-22-2-222i−2i2i−2i0000002i−2i002-2002-22-22-2-22000000002-22-22-22-222-2-200002i−2i2i−2i00002i2i−2i−2i000000002i−2i2i−2i2-200002i−2i00000000000000000000000000
χ502-22-22-2-222i−2i2i−2i0000002i−2i002-2002-22-22-2-2200000000-22-22-22-2222-2-200002i−2i2i−2i00002i2i−2i−2i00000000−2i2i−2i2i-220000−2i2i00000000000000000000000000
χ512-22-22-2-222i−2i2i−2i000000−2i2i00-22002-22-22-2-22000000002-22-22-22-2-2-22200002i−2i2i−2i0000−2i−2i2i2i000000002i−2i2i−2i-220000−2i2i00000000000000000000000000
χ522-22-22-2-222i−2i2i−2i000000−2i2i00-22002-22-22-2-2200000000-22-22-22-22-2-22200002i−2i2i−2i0000−2i−2i2i2i00000000−2i2i−2i2i2-200002i−2i00000000000000000000000000
χ532-22-22-2-22−2i2i−2i2i0000002i−2i00-22002-22-22-2-22000000002-22-22-22-2-2-2220000−2i2i−2i2i00002i2i−2i−2i00000000−2i2i−2i2i-2200002i−2i00000000000000000000000000
χ542-22-22-2-22−2i2i−2i2i0000002i−2i00-22002-22-22-2-2200000000-22-22-22-22-2-2220000−2i2i−2i2i00002i2i−2i−2i000000002i−2i2i−2i2-20000−2i2i00000000000000000000000000
χ552-22-22-2-22−2i2i−2i2i000000−2i2i002-2002-22-22-2-22000000002-22-22-22-222-2-20000−2i2i−2i2i0000−2i−2i2i2i00000000−2i2i−2i2i2-20000−2i2i00000000000000000000000000
χ562-22-22-2-22−2i2i−2i2i000000−2i2i002-2002-22-22-2-2200000000-22-22-22-2222-2-20000−2i2i−2i2i0000−2i−2i2i2i000000002i−2i2i−2i-2200002i−2i00000000000000000000000000
χ572-2-2222-2-22i−2i−2i2i2-22-22i−2i000000002-2-2222-2-222-2-222-2-22-2-222-2-22000000002i−2i−2i2i2i2i−2i−2i000000002-22-22i−2i−2i2i00002i−2i0000000000000000000000000000
χ582-2-2222-2-22i−2i−2i2i2-22-22i−2i000000002-2-2222-2-222-2-222-2-2-222-2-222-2000000002i−2i−2i2i2i2i−2i−2i00000000-22-22−2i2i2i−2i0000−2i2i0000000000000000000000000000
χ592-2-2222-2-22i−2i−2i2i-22-22−2i2i000000002-2-2222-2-2-2-222-2-2222-2-222-2-22000000002i−2i−2i2i−2i−2i2i2i00000000-22-222i−2i−2i2i0000−2i2i0000000000000000000000000000
χ602-2-2222-2-22i−2i−2i2i-22-22−2i2i000000002-2-2222-2-2-2-222-2-222-222-2-222-2000000002i−2i−2i2i−2i−2i2i2i000000002-22-2−2i2i2i−2i00002i−2i0000000000000000000000000000
χ612-2-2222-2-2−2i2i2i−2i2-22-2−2i2i000000002-2-2222-2-222-2-222-2-22-2-222-2-2200000000−2i2i2i−2i−2i−2i2i2i000000002-22-2−2i2i2i−2i0000−2i2i0000000000000000000000000000
χ622-2-2222-2-2−2i2i2i−2i2-22-2−2i2i000000002-2-2222-2-222-2-222-2-2-222-2-222-200000000−2i2i2i−2i−2i−2i2i2i00000000-22-222i−2i−2i2i00002i−2i0000000000000000000000000000
χ632-2-2222-2-2−2i2i2i−2i-22-222i−2i000000002-2-2222-2-2-2-222-2-2222-2-222-2-2200000000−2i2i2i−2i2i2i−2i−2i00000000-22-22−2i2i2i−2i00002i−2i0000000000000000000000000000
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χ652-2-22-2-22200002-2-2200000000002222-2-2-2-222-2-2-2-2222i−2i−2i2i−2i2i2i−2i0000000000000000000000002i−2i−2i2i00000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.