Finite Group Databasebeta

← Group #11887378

Character table — Group #11887378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222444444444444444444444444444446666666666666666888888888888888881212121212121212121212121212121212122424242424242436364848727272
order12223344446666661212121223666668888121212121212121212122424242424242424224488882424242424242424666121224242424242424242424242444446688121212121212242424242441212121222612244
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
χ5111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-11-11111-1-1-1-11-11
χ6111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11-11-1-1-1-11111-11-1
χ7111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-1111111-1-1-11-1
χ8111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-11-1-1-1-1-1-1111-11
χ9111111-1-1111111111111-11-1-111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111-1-1-1-1111111-1-11-1-111-1-1-11-111
χ10111111-1-1111111111111-11-1-111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-111-1-1111-11-1-1
χ11111111-1-1111111111111-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-111111111111111-1-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111-111-1-1
χ12111111-1-1111111111111-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-111111111111111-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-11-1-111
χ13111111-1-1111111111111-11-1-1111-1-111-1-1-1-1111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111111-111111-1-1-1-1-1-111-1-1-1-11-1-1-1-111111-1-1-11
χ14111111-1-1111111111111-11-1-1111-1-111-1-1-1-1111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1111-1
χ15111111-1-1111111111111-11-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1111111-1-111111-1-1-1-111-1-11-111-1
χ16111111-1-1111111111111-11-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1111111-1-11111-11111-1-111-11-1-11
χ1722222222-2-2222222-2-2-2-2-22-2-222200002222-2-2-2-2-2-2000000002222000000000000-2-2-222000000000000-2-200220022-2-2-2-2000000000000000000
χ1822222222-2-2222222-2-2-2-2-22-2-222200002222-2-2-2-2-2-200000000-2-2-2-2000000000000-2-2-2220000000000002200-2-200-2-22222000000000000000000
χ19222222-2-2-2-2222222-2-2-2-222222220000-2-2-2-2-2-2-2-2-2-20000000022-2-2000000000000222-2-20000000000002-2002200-2-222-2-2000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222220000-2-2-2-2-2-2-2-2-2-200000000-2-222000000000000222-2-2000000000000-2200-2-20022-2-222000000000000000000
χ2122222-12222-1222-1-122222-122-1-1-12222-1-122-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000000000222-1-1-1-100-1-1000
χ2222222-12222-1222-1-122222-122-1-1-12222-1-122-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000000-2-2-211110011000
χ2322222-12222-1222-1-122222-122-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1111111111111002200000000000000-22-2-1-1-1-10011000
χ2422222-12222-1222-1-122222-122-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-111111111111100-2-2000000000000002-22111100-1-1000
χ2522222-1-2-222-1222-1-12222-2-1-2-2-1-1-122-2-211-2-2-1-1-1-1-1-12222-2-2-2-2000000000000000011111-1-1-1-1-1-1111111002200000000000000-2-2211-1-1001-1000
χ2622222-1-2-222-1222-1-12222-2-1-2-2-1-1-122-2-211-2-2-1-1-1-1-1-12222-2-2-2-2000000000000000011111-1-1-1-1-1-111111100-2-20000000000000022-2-1-11100-11000
χ2722222-1-2-222-1222-1-12222-2-1-2-2-1-1-1-2-22211-2-2-1-1-1-1-1-1-2-2-2-22222000000000000000011111111111-1-1-1-1-1-10022000000000000002-2-211-1-100-11000
χ2822222-1-2-222-1222-1-12222-2-1-2-2-1-1-1-2-22211-2-2-1-1-1-1-1-1-2-2-2-22222000000000000000011111111111-1-1-1-1-1-100-2-200000000000000-222-1-111001-1000
χ292222-1222222-1-1-122-1-1-1-12-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12200-1-122-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-1222222-1-1-122-1-1-1-12-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-2-20011-2-2111111111100000000000000
χ312222-1222222-1-1-122-1-1-1-12-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1111111112222-2-2-2-2111111112-1-1-1-1-2-21111-2-211112200-1-1-2-2-1-1-1-1-1-1111100000000000000
χ322222-1222222-1-1-122-1-1-1-12-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-21111-2-2001122111111-1-1-1-100000000000000
χ332222-1222-2-22-1-1-1221111-2-111-1-1-1000022-1-1-2-2111133−3−333−3−3222200003333−3−3−3−3-211-1-10033−3−30033−3−3-2-200-1-100-1-1111133−3−300000000000000
χ342222-1222-2-22-1-1-1221111-2-111-1-1-1000022-1-1-2-2111133−3−333−3−3-2-2-2-20000−3−3−3−33333-211-1-10033−3−30033−3−32200110011-1-1-1-1−3−33300000000000000
χ352222-1222-2-22-1-1-1221111-2-111-1-1-1000022-1-1-2-21111−3−333−3−33322220000−3−3−3−33333-211-1-100−3−33300−3−333-2-200-1-100-1-11111−3−33300000000000000
χ362222-1222-2-22-1-1-1221111-2-111-1-1-1000022-1-1-2-21111−3−333−3−333-2-2-2-200003333−3−3−3−3-211-1-100−3−33300−3−3332200110011-1-1-1-133−3−300000000000000
χ372222-12-2-2222-1-1-122-1-1-1-1-2-111-1-1-122-2-2-2-21122-1-1-1-1-1-1-1-1111122-2-2-2-2-2-211111111-2111122-1-1-1-1-2-21111-2200-1-1221111-1-1-1-1-1-100000000000000
χ382222-12-2-2222-1-1-122-1-1-1-1-2-111-1-1-122-2-2-2-21122-1-1-1-1-1-1-1-11111-2-2222222-1-1-1-1-1-1-1-1-2111122-1-1-1-1-2-211112-20011-2-2-1-1-1-111111100000000000000
χ392222-12-2-2222-1-1-122-1-1-1-1-2-111-1-1-1-2-222-2-21122-1-1-1-11111-1-1-1-122-2-22222-1-1-1-1-1-1-1-1-21111-2-2111122-1-1-1-1-2200-1-1-2-21111-1-1111100000000000000
χ402222-12-2-2222-1-1-122-1-1-1-1-2-111-1-1-1-2-222-2-21122-1-1-1-11111-1-1-1-1-2-222-2-2-2-211111111-21111-2-2111122-1-1-1-12-2001122-1-1-1-111-1-1-1-100000000000000
χ412222-12-2-2-2-22-1-1-12211112-1-1-1-1-1-10000-2-211-2-2111133−3−3−3−33322-2-20000−3−3−3−333332-1-1110033−3−300−3−3332-200-1-10011-1-11133−3−300000000000000
χ422222-12-2-2-2-22-1-1-12211112-1-1-1-1-1-10000-2-211-2-2111133−3−3−3−333-2-22200003333−3−3−3−32-1-1110033−3−300−3−333-22001100-1-111-1-1−3−33300000000000000
χ432222-12-2-2-2-22-1-1-12211112-1-1-1-1-1-10000-2-211-2-21111−3−33333−3−322-2-200003333−3−3−3−32-1-11100−3−3330033−3−32-200-1-10011-1-111−3−33300000000000000
χ442222-12-2-2-2-22-1-1-12211112-1-1-1-1-1-10000-2-211-2-21111−3−33333−3−3-2-2220000−3−3−3−333332-1-11100−3−3330033−3−3-22001100-1-111-1-133−3−300000000000000
χ4522-2-2222i−2i00-22-2-22-2000002002-2-22−2−i2i22i−2i2i−2i0000002−22−2−i2i2−i2i22-22i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20002i−2i2−22−22−2−i2i2−i2i2−i2i200002-22−22i−2i00002−22−200000000000000
χ4622-2-2222i−2i00-22-2-22-2000002002-2-22−2−i2i22i−2i2i−2i0000002−22−2−i2i2−i2i2-22−2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i20002i−2i2−22−22−2−i2i2−i2i2−i2i20000-22−22−2i2i0000−22−2200000000000000
χ4722-2-2222i−2i00-22-2-22-2000002002-2-2−22i2−i22i−2i2i−2i000000−22−22i2−i2i2−i22-22i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i20002i−2i−22−22−22i2−i2i2−i2i2−i200002-2−222i−2i0000−22−2200000000000000
χ4822-2-2222i−2i00-22-2-22-2000002002-2-2−22i2−i22i−2i2i−2i000000−22−22i2−i2i2−i2-22−2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20002i−2i−22−22−22i2−i2i2−i2i2−i20000-222−2−2i2i00002−22−200000000000000
χ4922-2-222−2i2i00-22-2-22-2000002002-2-22−2i2−i2−2i2i−2i2i0000002−22−2i2−i2i2−i22-2−2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000−2i2i2−22−22−2i2−i2i2−i2i2−i200002-22−2−2i2i00002−22−200000000000000
χ5022-2-222−2i2i00-22-2-22-2000002002-2-22−2i2−i2−2i2i−2i2i0000002−22−2i2−i2i2−i2-222i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000−2i2i2−22−22−2i2−i2i2−i2i2−i20000-22−222i−2i0000−22−2200000000000000
χ5122-2-222−2i2i00-22-2-22-2000002002-2-2−22−i2i2−2i2i−2i2i000000−22−22−i2i2−i2i22-2−2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000−2i2i−22−22−22−i2i2−i2i2−i2i200002-2−22−2i2i0000−22−2200000000000000
χ5222-2-222−2i2i00-22-2-22-2000002002-2-2−22−i2i2−2i2i−2i2i000000−22−22−i2i2−i2i2-222i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000−2i2i−22−22−22−i2i2−i2i2−i2i20000-222−22i−2i00002−22−200000000000000
χ5322-2-2-122i−2i00-2-1112-23−33−30-1−i3i3-1112−2−i2i22i−2i−ii0033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72-22i−2i−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70−i3i3−ii2−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000-112−2−ii−i3i33−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ5422-2-2-122i−2i00-2-1112-23−33−30-1−i3i3-1112−2−i2i22i−2i−ii0033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-22−2i2ii2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70−i3i3−ii2−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700001-1−22i−ii3−i3−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ5522-2-2-122i−2i00-2-1112-23−33−30-1−i3i3-111−22i2−i22i−2i−ii0033−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72-22i−2ii2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70−i3i3−ii−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000-11−22−ii−i3i33−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ5622-2-2-122i−2i00-2-1112-23−33−30-1−i3i3-111−22i2−i22i−2i−ii0033−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-22−2i2i−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70−i3i3−ii−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700001-12−2i−ii3−i3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ5722-2-2-122i−2i00-2-1112-2−33−330-1i3−i3-1112−2−i2i22i−2i−ii00−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232-22i−2i−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230i3−i3−ii2−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000-112−2−iii3−i3−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ5822-2-2-122i−2i00-2-1112-2−33−330-1i3−i3-1112−2−i2i22i−2i−ii00−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-22−2i2ii2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230i3−i3−ii2−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300001-1−22i−i−i3i33−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.