Finite Group Databasebeta

← Group #11797687

Character table — Group #11797687

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222223333444444444444444466666666666666666688888888888812121212121212121212121212121616161616161818181818181818242424242424242448487272
order12223344666666888844443666121212122424242424242424448888121212121616161616161616441212121212122424242412122424242448484848484848481212121212121616161616161616444412121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ91-11-1111-11-1-1-1-1111-1-1ii−i−i1-11-1-111-111-1-1-1-111i−iii−i−iii−i−i1111-1-1-1-1i−iii−i−i-1111-1-1i−iii−i−i1111-1-1-1-1i−iii−i−iiiii−i−i−i−i1-1i−i11-1-1i−i1-1
χ101-11-1111-11-1-1-1-1111-1-1ii−i−i1-11-1-111-111-1-1-1-111i−iii−i−iii−i−i1111-1-1-1-1−ii−i−iii-1111-1-1i−iii−i−i1111-1-1-1-1−ii−i−iiiiiii−i−i−i−i-11−ii-1-111−ii-11
χ111-11-1111-11-1-1-1-1111-1-1ii−i−i1-11-1-111-111-1-1-1-111i−iii−i−iii−i−i-1-1-1-11111i−iii−i−i-1111-1-1i−iii−i−i-1-1-1-11111i−iii−i−i−i−i−i−iiiii1-1−ii11-1-1−ii-11
χ121-11-1111-11-1-1-1-1111-1-1ii−i−i1-11-1-111-111-1-1-1-111i−iii−i−iii−i−i-1-1-1-11111−ii−i−iii-1111-1-1i−iii−i−i-1-1-1-11111−ii−i−iii−i−i−i−iiiii-11i−i-1-111i−i1-1
χ131-11-1111-11-1-1-1-1111-1-1−i−iii1-11-1-111-111-1-1-1-111−ii−i−iii−i−iii1111-1-1-1-1i−iii−i−i-1111-1-1−ii−i−iii1111-1-1-1-1i−iii−i−i−i−i−i−iiiii-11i−i-1-111i−i-11
χ141-11-1111-11-1-1-1-1111-1-1−i−iii1-11-1-111-111-1-1-1-111−ii−i−iii−i−iii1111-1-1-1-1−ii−i−iii-1111-1-1−ii−i−iii1111-1-1-1-1−ii−i−iii−i−i−i−iiiii1-1−ii11-1-1−ii1-1
χ151-11-1111-11-1-1-1-1111-1-1−i−iii1-11-1-111-111-1-1-1-111−ii−i−iii−i−iii-1-1-1-11111i−iii−i−i-1111-1-1−ii−i−iii-1-1-1-11111i−iii−i−iiiii−i−i−i−i-11−ii-1-111−ii1-1
χ161-11-1111-11-1-1-1-1111-1-1−i−iii1-11-1-111-111-1-1-1-111−ii−i−iii−i−iii-1-1-1-11111−ii−i−iii-1111-1-1−ii−i−iii-1-1-1-11111−ii−i−iiiiiii−i−i−i−i1-1i−i11-1-1i−i-11
χ1722222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000022-2-2-2-222-2-2-2-20000000000000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000022-2-2-2-2-2-222220000000000000000000000000000000000
χ19222222-2-2222222000022222222-2-2-2-200000000-2-20000222222−2−222−2−2000000-2-20000-2-2000022−2−222−2−200000022−2−222−2−2000000000000
χ20222222-2-2222222000022222222-2-2-2-200000000-2-200002222−2−222−2−222000000-2-20000-2-20000−2−222−2−222000000−2−222−2−222000000000000
χ21222222-2-22222220000-2-2-2-22222-2-2-2-200000000220000-2-2-2-222−2−222−2−2000000-2-2000022000022−2−222−2−2000000−2−222−2−222000000000000
χ22222222-2-22222220000-2-2-2-22222-2-2-2-200000000220000-2-2-2-2−2−222−2−222000000-2-20000220000−2−222−2−22200000022−2−222−2−2000000000000
χ2322222-1222-12-12-122222222-1-1-1-122-1-1-1-122-1-122222222-1-1-1-10000000022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1000000002200-1-1-1-10000
χ2422222-1222-12-12-122222222-1-1-1-122-1-1-1-122-1-122222222-1-1-1-100000000-2-21111-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2111100000000-2-20011110000
χ2522222-1222-12-12-12222-2-2-2-2-1-1-1-122-1-1-1-122-1-122-2-2-2-2-2-211110000000022-1-1-1-1-1-1-1-1-1-11111110000000022-1-1-1-100000000-2-20011110000
χ2622222-1222-12-12-12222-2-2-2-2-1-1-1-122-1-1-1-122-1-122-2-2-2-2-2-2111100000000-2-21111-1-1-1-1-1-111111100000000-2-21111000000002200-1-1-1-10000
χ2722222-1222-12-12-1-2-2-2-22222-1-1-1-122-1-111-2-211-2-222-2-2-2-2-1-1-1-10000000000−i3i3−i3i3-1-11111-1-111110000000000−i3i3−i3i3000000000000−i3i3−i3i30000
χ2822222-1222-12-12-1-2-2-2-22222-1-1-1-122-1-111-2-211-2-222-2-2-2-2-1-1-1-10000000000i3−i3i3−i3-1-11111-1-111110000000000i3−i3i3−i3000000000000i3−i3i3−i30000
χ2922222-1222-12-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-111-2-211-2-2-2-2222211110000000000−i3i3−i3i3-1-1111111-1-1-1-10000000000−i3i3−i3i3000000000000i3−i3i3−i30000
χ3022222-1222-12-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-111-2-211-2-2-2-2222211110000000000i3−i3i3−i3-1-1111111-1-1-1-10000000000i3−i3i3−i3000000000000−i3i3−i3i30000
χ312222-1222-12-12-1222220000-1-1-1-1-1-12222-1-122-1-1000000000022222222222222-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-100
χ322222-1222-12-12-1222220000-1-1-1-1-1-12222-1-122-1-1000000000022222222-2-2-2-2-2-2-1-1-1-1-1-1000000-1-1-1-1-1-1-1-11111110000000000-2-200001100
χ332222-1222-12-12-1222220000-1-1-1-1-1-12222-1-122-1-10000000000-2-2-2-2-2-2-2-2222222-1-1-1-1-1-100000011111111-1-1-1-1-1-10000000000-2-200001100
χ342222-1222-12-12-1222220000-1-1-1-1-1-12222-1-122-1-10000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1000000111111111111110000000000220000-1-100
χ3522-2-22200-2-222-2-22−22−22i−2i2i−2i2-2-2200002−22−22−22−200−i2i2−i2i22i−2i2i−2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000002−22−200−i2i2−i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000000
χ3622-2-22200-2-222-2-22−22−22i−2i2i−2i2-2-2200002−22−22−22−200−i2i2−i2i22i−2i2i−2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000002−22−200−i2i2−i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000000000
χ3722-2-22200-2-222-2-22−22−2−2i2i−2i2i2-2-2200002−22−22−22−200i2−i2i2−i2−2i2i−2i2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000002−22−200i2−i2i2−i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000000000
χ3822-2-22200-2-222-2-22−22−2−2i2i−2i2i2-2-2200002−22−22−22−200i2−i2i2−i2−2i2i−2i2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000002−22−200i2−i2i2−i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000000
χ3922-2-22200-2-222-2-2−22−222i−2i2i−2i2-2-220000−22−22−22−2200i2−i2i2−i22i−2i2i−2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000−22−2200i2−i2i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000000
χ4022-2-22200-2-222-2-2−22−222i−2i2i−2i2-2-220000−22−22−22−2200i2−i2i2−i22i−2i2i−2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000−22−2200i2−i2i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000000
χ4122-2-22200-2-222-2-2−22−22−2i2i−2i2i2-2-220000−22−22−22−2200−i2i2−i2i2−2i2i−2i2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000−22−2200−i2i2−i2i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000000
χ4222-2-22200-2-222-2-2−22−22−2i2i−2i2i2-2-220000−22−22−22−2200−i2i2−i2i2−2i2i−2i2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000−22−2200−i2i2−i2i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000000
χ432-22-2222-22-2-2-2-22-2-2222i2i−2i−2i2-22-2-222-2-2-22222-2-22i−2i−2i−2i2i2i2i2i−2i−2i00000000000000-22-2-2222i−2i−2i−2i2i2i0000000000000000000000000000000000
χ442-22-2222-22-2-2-2-22-2-222−2i−2i2i2i2-22-2-222-2-2-22222-2-2−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000-22-2-222−2i2i2i2i−2i−2i0000000000000000000000000000000000
χ452-22-222-222-2-2-2-2200002i2i−2i−2i2-22-22-2-2200000000−2i2i00002i2i−2i−2i22−2−2−2−2220000002-20000−2i2i000022−2−2−2−222000000i2i2−i2−i2−i2−i2i2i2000000000000
χ462-22-222-222-2-2-2-2200002i2i−2i−2i2-22-22-2-2200000000−2i2i00002i2i−2i−2i−2−22222−2−20000002-20000−2i2i0000−2−22222−2−2000000−i2−i2i2i2i2i2−i2−i2000000000000
χ472-22-222-222-2-2-2-220000−2i−2i2i2i2-22-22-2-22000000002i−2i0000−2i−2i2i2i22−2−2−2−2220000002-200002i−2i000022−2−2−2−222000000−i2−i2i2i2i2i2−i2−i2000000000000
χ482-22-222-222-2-2-2-220000−2i−2i2i2i2-22-22-2-22000000002i−2i0000−2i−2i2i2i−2−22222−2−20000002-200002i−2i0000−2−22222−2−2000000i2i2−i2−i2−i2−i2i2i2000000000000
χ492-22-22-12-221-21-2-122-2-22i2i−2i−2i-11-11-22-11-1-1-2-211222i−2i2i2i−2i−2i−i−iii000000002i−2i−i−iii1-1-1-111−ii−i−iii000000002i−2i−i−iii000000002-200-1-1110000
χ502-22-22-12-221-21-2-122-2-22i2i−2i−2i-11-11-22-11-1-1-2-211222i−2i2i2i−2i−2i−i−iii00000000−2i2iii−i−i1-1-1-111−ii−i−iii00000000−2i2iii−i−i00000000-220011-1-10000
χ512-22-22-12-221-21-2-122-2-2−2i−2i2i2i-11-11-22-11-1-1-2-21122−2i2i−2i−2i2i2iii−i−i000000002i−2i−i−iii1-1-1-111i−iii−i−i000000002i−2i−i−iii00000000-220011-1-10000
χ522-22-22-12-221-21-2-122-2-2−2i−2i2i2i-11-11-22-11-1-1-2-21122−2i2i−2i−2i2i2iii−i−i00000000−2i2iii−i−i1-1-1-111i−iii−i−i00000000−2i2iii−i−i000000002-200-1-1110000
χ532-22-22-12-221-21-2-1-2-2222i2i−2i−2i-11-11-22-111122-1-1-2-22i−2i−2i−2i2i2i−i−iii00000000003−3−331-111-1-1−iiii−i−i00000000003−3−33000000000000−i3i3i3−i30000
χ542-22-22-12-221-21-2-1-2-2222i2i−2i−2i-11-11-22-111122-1-1-2-22i−2i−2i−2i2i2i−i−iii0000000000−333−31-111-1-1−iiii−i−i0000000000−333−3000000000000i3−i3−i3i30000
χ552-22-22-12-221-21-2-1-2-222−2i−2i2i2i-11-11-22-111122-1-1-2-2−2i2i2i2i−2i−2iii−i−i00000000003−3−331-111-1-1i−i−i−iii00000000003−3−33000000000000i3−i3−i3i30000
χ562-22-22-12-221-21-2-1-2-222−2i−2i2i2i-11-11-22-111122-1-1-2-2−2i2i2i2i−2i−2iii−i−i0000000000−333−31-111-1-1i−i−i−iii0000000000−333−3000000000000−i3i3i3−i30000
χ572-22-2-122-2-1-21-21222-2-20000-11-111-12-22211-2-2-1-100000000002222-2-2-2-22i−2i2i2i−2i−2i1-1-1-111000000-1-1-1-11111−ii−i−iii00000000002i−2i0000−ii00
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.