Finite Group Databasebeta

← Group #11887270

Character table — Group #11887270

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222444444444444444444444444444446666666666666666888888888888888881212121212121212121212121212121212122424242424242436364848727272
order12222233446666661212121234666666688881212121212121212242424242424242444448888242424242424242466121212242424242424242424242424244466881212121212122424242444412121212221212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11-1-11111-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-111-1-1-1-111111-1-1
χ711111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1111111-1-11-1-1
χ811111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-1-1-1-1-111-111
χ91111-1-1111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-11-111-1-1111-1-1-11
χ101111-1-1111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1111111111111-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-111-1-1-1111-1
χ111111-1-1111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1111111-1-1-1-1111111-11-111-1-1-1-11-111-1
χ121111-1-1111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11111-1-1-1-11111111-11-1-11111-11-1-11
χ131111-1-1111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1111111-1-11111-1-1111-1-1-1-1-111-11
χ141111-1-1111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1111111-1-1111111-1-1-111111-1-11-1
χ151111-1-1111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-11-11-1
χ161111-1-1111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-111-1-11-11-11
χ1722222222-2-2222222-2-2-2-22-222222220000-2-2-2-2-2-2-2-200000000222200000000000022-2-2-2000000000000-2-200-2-20022-2-222000000000000000000
χ1822222222-2-2222222-2-2-2-22-222222220000-2-2-2-2-2-2-2-200000000-2-2-2-200000000000022-2-2-200000000000022002200-2-222-2-2000000000000000000
χ192222222-122-1-1-1222-1-1-1-1-1222-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-12200-1-122-1-1-1-1-1-1-1-1-1-100000000000000
χ202222222-122-1-1-1222-1-1-1-1-1222-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-12-1-122-1-1-1-122-1-1-1-1-2-20011-2-2111111111100000000000000
χ212222222-122-1-1-1222-1-1-1-1-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1111111112222-2-2-2-211111111-1-12-1-1-2-21111-2-211112200-1-1-2-2-1-1-1-1-1-1111100000000000000
χ222222222-122-1-1-1222-1-1-1-1-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-1-1-12-1-1-2-21111-2-21111-2-2001122111111-1-1-1-100000000000000
χ232222222-1-2-2-1-1-12221111-1-222-1-1-1-1-1000011-2-2111133−3−333−3−3222200003333−3−3−3−3-1-1-2110033−3−30033−3−3-2-2001100-1-111-1-133−3−300000000000000
χ242222222-1-2-2-1-1-12221111-1-222-1-1-1-1-1000011-2-2111133−3−333−3−3-2-2-2-20000−3−3−3−33333-1-1-2110033−3−30033−3−32200-1-10011-1-111−3−33300000000000000
χ252222222-1-2-2-1-1-12221111-1-222-1-1-1-1-1000011-2-21111−3−333−3−33322220000−3−3−3−33333-1-1-21100−3−33300−3−333-2-2001100-1-111-1-1−3−33300000000000000
χ262222222-1-2-2-1-1-12221111-1-222-1-1-1-1-1000011-2-21111−3−333−3−333-2-2-2-200003333−3−3−3−3-1-1-21100−3−33300−3−3332200-1-10011-1-11133−3−300000000000000
χ27222222-1222222-1-1-12222-12-1-122-1-1-1222222-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000000000222-1-1-1-100-1-1000
χ28222222-1222222-1-1-12222-12-1-122-1-1-1222222-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000000-2-2-211110011000
χ29222222-1222222-1-1-12222-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-11111111111110022000000000000002-2-2-1-1-1-10011000
χ30222222-1222222-1-1-12222-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-111111111111100-2-200000000000000-222111100-1-1000
χ312222-2-222-2-2222222-2-2-2-222-2-2-2-2222000022-2-2-2-2-2-20000000022-2-2000000000000-2-22220000000000002-200220022-2-2-2-2000000000000000000
χ322222-2-222-2-2222222-2-2-2-222-2-2-2-2222000022-2-2-2-2-2-200000000-2-222000000000000-2-2222000000000000-2200-2-200-2-22222000000000000000000
χ332222-2-22-122-1-1-1222-1-1-1-1-1-2-2-211-1-1-122-2-21122-1-1-1-1-1-1-1-1111122-2-22222-1-1-1-1-1-1-1-111-21122-1-1-1-1-2-21111-220011-2-2-1-1-1-111111100000000000000
χ342222-2-22-122-1-1-1222-1-1-1-1-1-2-2-211-1-1-122-2-21122-1-1-1-1-1-1-1-11111-2-222-2-2-2-21111111111-21122-1-1-1-1-2-211112-200-1-1221111-1-1-1-1-1-100000000000000
χ352222-2-22-122-1-1-1222-1-1-1-1-1-2-2-211-1-1-1-2-2221122-1-1-1-11111-1-1-1-122-2-2-2-2-2-21111111111-211-2-2111122-1-1-1-1-22001122-1-1-1-111-1-1-1-100000000000000
χ362222-2-22-122-1-1-1222-1-1-1-1-1-2-2-211-1-1-1-2-2221122-1-1-1-11111-1-1-1-1-2-2222222-1-1-1-1-1-1-1-111-211-2-2111122-1-1-1-12-200-1-1-2-21111-1-1111100000000000000
χ372222-2-22-1-2-2-1-1-12221111-12-2-211-1-1-10000-1-1-2-2111133−3−3−3−33322-2-200003333−3−3−3−3112-1-10033−3−300−3−3332-200-1-100-1-11111−3−33300000000000000
χ382222-2-22-1-2-2-1-1-12221111-12-2-211-1-1-10000-1-1-2-2111133−3−3−3−333-2-2220000−3−3−3−33333112-1-10033−3−300−3−333-2200110011-1-1-1-133−3−300000000000000
χ392222-2-22-1-2-2-1-1-12221111-12-2-211-1-1-10000-1-1-2-21111−3−33333−3−322-2-20000−3−3−3−33333112-1-100−3−3330033−3−32-200-1-100-1-1111133−3−300000000000000
χ402222-2-22-1-2-2-1-1-12221111-12-2-211-1-1-10000-1-1-2-21111−3−33333−3−3-2-22200003333−3−3−3−3112-1-100−3−3330033−3−3-2200110011-1-1-1-1−3−33300000000000000
χ412222-2-2-1222222-1-1-12222-1-211-2-2-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-2000000000000000011111-1-1-1-1-1-1111111002200000000000000-22-2-1-11100-11000
χ422222-2-2-1222222-1-1-12222-1-211-2-2-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-2000000000000000011111-1-1-1-1-1-111111100-2-2000000000000002-2211-1-1001-1000
χ432222-2-2-1222222-1-1-12222-1-211-2-2-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-22222000000000000000011111111111-1-1-1-1-1-1002200000000000000-2-22-1-111001-1000
χ442222-2-2-1222222-1-1-12222-1-211-2-2-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-22222000000000000000011111111111-1-1-1-1-1-100-2-20000000000000022-211-1-100-11000
χ4522-2-22-222002-2-2-2-220000202-22-22-2-2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i22i−2i2i−2i22−2−222−2−222−2−22-2000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000002−22i−2i002i−2i2−22−200000000000000
χ4622-2-22-222002-2-2-2-220000202-22-22-2-2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2−2i2i−2i2i−2−222−2−222−2−2222-2000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000−22−2i2i00−2i2i−22−2200000000000000
χ4722-2-22-222002-2-2-2-220000202-22-22-2-2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i22i−2i2i−2i−2−222−2−222−2−2222-2000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000−222i−2i002i−2i−22−2200000000000000
χ4822-2-22-222002-2-2-2-220000202-22-22-2-2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2−2i2i−2i2i22−2−222−2−222−2−22-2000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000002−2−2i2i00−2i2i2−22−200000000000000
χ4922-2-22-22-100-111-2-223−33−3-102-2-11-111−i2i2−i2i23−30033−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232i−2i2i−2i22−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000−i3i32−2−ii−i3i3−iiζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ5022-2-22-22-100-111-2-223−33−3-102-2-11-111−i2i2−i2i23−30033−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−2i2i−2i2i−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000i3−i3−22i−ii3−i3i−i−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ5122-2-22-22-100-111-2-223−33−3-102-2-11-111i2−i2i2−i23−30033−3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232i−2i2i−2i−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000−i3i3−22−ii−i3i3−ii−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ5222-2-22-22-100-111-2-223−33−3-102-2-11-111i2−i2i2−i23−30033−3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−2i2i−2i2i22−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000i3−i32−2i−ii3−i3i−iζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ5322-2-22-22-100-111-2-22−33−33-102-2-11-111−i2i2−i2i2−3300−3−333ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72i−2i2i−2i22−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000i3−i32−2−iii3−i3−iiζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ5422-2-22-22-100-111-2-22−33−33-102-2-11-111−i2i2−i2i2−3300−3−333ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−2i2i−2i2i−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000−i3i3−22i−i−i3i3i−i−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ5522-2-22-22-100-111-2-22−33−33-102-2-11-111i2−i2i2−i2−3300−3−333−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72i−2i2i−2i−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000i3−i3−22−iii3−i3−ii−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ5622-2-22-22-100-111-2-22−33−33-102-2-11-111i2−i2i2−i2−3300−3−333−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−2i2i−2i2i22−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000−i3i32−2i−i−i3i3i−iζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ5722-2-2-2222002-2-2-2-22000020-22-222-2-2−i2i2i2−i200000000−i2i2−i2i2i2−i2i2−i22i−2i−2i2i22−2−222−2−222−2−2-22000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2000000−222i−2i00−2i2i−22−2200000000000000
χ5822-2-2-2222002-2-2-2-22000020-22-222-2-2−i2i2i2−i200000000−i2i2−i2i2i2−i2i2−i2−2i2i2i−2i−2−222−2−222−2−222-22000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20000002−2−2i2i002i−2i2−22−200000000000000
χ5922-2-2-2222002-2-2-2-22000020-22-222-2-2i2−i2−i2i200000000i2−i2i2−i2−i2i2−i2i22i−2i−2i2i−2−222−2−222−2−222-22000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20000002−22i−2i00−2i2i2−22−200000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.