Finite Group Databasebeta

← Group #13036415

Character table — Group #13036415

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222224444444455555555888888888888888810101010101010101010101010101010101010101010101010101010101010101010101010101010101010101616161616161616404040404040404040404040
order12222222222244444444510101010101010444444444444101010102020202020202020444444444444888888888888888888888888888888882020202020202020244488888888
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111-1-1-1-1ii−i−iii−i−i
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11111111-1-1-1-1−i−iii−i−iii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−iii−i−iii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-11111ii−i−iii−i−i
χ9111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-11111
χ11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-11111
χ12111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111111-1-1-1-1
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11-1-11ii−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−i1111-1-1-1-11-1-11−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-1-1-1-11111-111-1−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-1-1-1-11111-111-1ii−i−i−i−iii
χ1711111111-1-1-1-11111-1-1-1-111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11-111-11-11-11-1
χ1811111111-1-1-1-11111-1-1-1-111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-11-11-11-11-11
χ1911111111-1-1-1-11111-1-1-1-11111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11-11-1-11-11-11-11
χ2011111111-1-1-1-11111-1-1-1-11111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11-11-11-11-11-11-1
χ2111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1111-11-1i−i−iii−i−ii
χ2211111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1111-11-1−iii−i−iii−i
χ2311111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-11-11−iii−i−iii−i
χ2411111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-11-11i−i−iii−i−ii
χ2511111111-1-1-1-1-1-1-1-1111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-11-1-11-11
χ2611111111-1-1-1-1-1-1-1-1111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-11-111-11-1
χ2711111111-1-1-1-1-1-1-1-111111111111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11-111-11-1
χ2811111111-1-1-1-1-1-1-1-111111111111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-11-1-11-11
χ2911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111i−i−ii−iii−i
χ3011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111−iii−ii−i−ii
χ3111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1−iii−ii−i−ii
χ3211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1i−i−ii−iii−i
χ33222-2-2-2-2222-2-22i2i−2i−2i2i2i−2i−2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i000022-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i22-2-222-2-20000000000000000000000000000000000000000000000000000
χ34222-2-2-2-2222-2-22i2i−2i−2i2i2i−2i−2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i000022-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2-222-2-2220000000000000000000000000000000000000000000000000000
χ35222-2-2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i000022-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2-222-2-2220000000000000000000000000000000000000000000000000000
χ36222-2-2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i000022-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i22-2-222-2-20000000000000000000000000000000000000000000000000000
χ37222-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i22-2-2-2-2220000000000000000000000000000000000000000000000000000
χ38222-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-2-22222-2-20000000000000000000000000000000000000000000000000000
χ39222-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-2-22222-2-20000000000000000000000000000000000000000000000000000
χ40222-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i22-2-2-2-2220000000000000000000000000000000000000000000000000000
χ4122-222-2-2-2000000002-22-22-22-22-2-222i−2i2i−2i2i−2i2i−2i0000000000002-22-2000000002i−2i2i−2i0000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000000000000
χ4222-222-2-2-2000000002-22-22-22-22-2-222i−2i2i−2i2i−2i2i−2i0000000000002-22-2000000002i−2i2i−2i00002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000000000
χ4322-222-2-2-2000000002-22-22-22-22-2-22−2i2i−2i2i−2i2i−2i2i0000000000002-22-200000000−2i2i−2i2i0000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000000000000
χ4422-222-2-2-2000000002-22-22-22-22-2-22−2i2i−2i2i−2i2i−2i2i0000000000002-22-200000000−2i2i−2i2i00002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000000000
χ4522-222-2-2-200000000-22-222-22-22-2-222i−2i2i−2i2i−2i2i−2i000000000000-22-2200000000−2i2i−2i2i0000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000000000
χ4622-222-2-2-200000000-22-222-22-22-2-222i−2i2i−2i2i−2i2i−2i000000000000-22-2200000000−2i2i−2i2i00002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000000000000
χ4722-222-2-2-200000000-22-222-22-22-2-22−2i2i−2i2i−2i2i−2i2i000000000000-22-22000000002i−2i2i−2i0000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000000000
χ4822-222-2-2-200000000-22-222-22-22-2-22−2i2i−2i2i−2i2i−2i2i000000000000-22-22000000002i−2i2i−2i00002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000000000000
χ4922-2-2-222-2000000002i−2i−2i2i2-2-222-22-22-2-222-2-220000000000002i−2i−2i2i00000000−2i2i2i−2i22-2-2000000002i2i−2i−2i22-2-2000000002i2i−2i−2i00000000000000000000
χ5022-2-2-222-2000000002i−2i−2i2i2-2-222-22-22-2-222-2-220000000000002i−2i−2i2i00000000−2i2i2i−2i-2-22200000000−2i−2i2i2i-2-22200000000−2i−2i2i2i00000000000000000000
χ5122-2-2-222-2000000002i−2i−2i2i2-2-222-22-2-222-2-222-20000000000002i−2i−2i2i000000002i−2i−2i2i2i2i−2i−2i00000000-2-222−2i−2i2i2i0000000022-2-200000000000000000000
χ5222-2-2-222-2000000002i−2i−2i2i2-2-222-22-2-222-2-222-20000000000002i−2i−2i2i000000002i−2i−2i2i−2i−2i2i2i0000000022-2-22i2i−2i−2i00000000-2-22200000000000000000000
χ5322-2-2-222-200000000−2i2i2i−2i2-2-222-22-22-2-222-2-22000000000000−2i2i2i−2i000000002i−2i−2i2i22-2-200000000−2i−2i2i2i22-2-200000000−2i−2i2i2i00000000000000000000
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χ1128-88-88-88-80000−8i8i8i−8i0000-22-222-2-2200000000000000002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-8-8888-88-800000000-2-22222-2-2000000000000-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-8-888-88-8800000000-2-22222-2-20000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8-888-888-8-8800000000-2-2-2-22222000000000000-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8-888-88-888-800000000-2-2-2-222220000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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