Finite Group Databasebeta

← Group #11898360

Character table — Group #11898360

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222444444444444444444444444444446666666666666666888888888888888881212121212121212121212121212121212122424242424242436364848727272
order122233444466666612121212346668888121212121212121212121212242424242424242444448888242424242424242412121212122424242424242424242424244444881212121212121212242424242441212121244612244
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
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-11111-1-1-1-111-1
χ61111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-11-1-1-1-11111-1-11
χ71111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111111-1-1-1-11
χ81111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-11111-1
χ9111111-1-11111111111111-111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-11-11-1
χ10111111-1-11111111111111-111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111111111-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-11-11-11
χ11111111-1-11111111111111-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11111-1-1-1-111111111-1-1111-1-1-1-1-111-11
χ12111111-1-11111111111111-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-111-1-1-1-11111111111-1-1-111111-1-11-1
χ13111111-1-11111111111111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111111-1-1-1-111111-1-111-1-1-1-11-1-111
χ14111111-1-11111111111111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1111111-1-1-1-11111-111-1-11111-111-1-1
χ15111111-1-11111111111111-1111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1111-11-1-1
χ16111111-1-11111111111111-1111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-11-111
χ1722222222-2-2222222-2-2-2-22-222200002222-2-2-2-2-2-2-2-2000000002222000000000000-222-2-2000000000000-2-2000022-2-222-2-2000000000000000000
χ1822222222-2-2222222-2-2-2-22-222200002222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000-222-2-2000000000000220000-2-222-2-222000000000000000000
χ19222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-222-2-2-2-2-2-20000000022-2-20000000000002-2-2220000000000002-2000022-2-2-2-222000000000000000000
χ20222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-222-2-2-2-2-2-200000000-2-2220000000000002-2-222000000000000-220000-2-22222-2-2000000000000000000
χ2122222-122222-122-1-12222-12-1-1-12222-1-12222-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000000000222-1-1-1-100-1-1000
χ2222222-122222-122-1-12222-12-1-1-12222-1-12222-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000000-2-2-211110011000
χ2322222-122222-122-1-12222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1111111111111002200000000000000-22-2-1-1-1-10011000
χ2422222-122222-122-1-12222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-111111111111100-2-2000000000000002-22111100-1-1000
χ2522222-1-2-2222-122-1-12222-1-2-1-1-122-2-211-2-2-2-2-1-1-1-1-1-12222-2-2-2-2000000000000000011111-1-1-1-1-1-1111111002200000000000000-2-22-1-111001-1000
χ2622222-1-2-2222-122-1-12222-1-2-1-1-122-2-211-2-2-2-2-1-1-1-1-1-12222-2-2-2-2000000000000000011111-1-1-1-1-1-111111100-2-20000000000000022-211-1-100-11000
χ2722222-1-2-2222-122-1-12222-1-2-1-1-1-2-22211-2-2-2-2-1-1-1-1-1-1-2-2-2-22222000000000000000011111111111-1-1-1-1-1-10022000000000000002-2-2-1-11100-11000
χ2822222-1-2-2222-122-1-12222-1-2-1-1-1-2-22211-2-2-2-2-1-1-1-1-1-1-2-2-2-22222000000000000000011111111111-1-1-1-1-1-100-2-200000000000000-22211-1-1001-1000
χ292222-122222-12-1-122-1-1-1-1-12-1-1-1222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1220022-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-122222-12-1-122-1-1-1-1-12-1-1-1222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-211111111111100000000000000
χ312222-122222-12-1-122-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-12-1-12-1-1111111112222-2-2-2-2111111112-1-1-1-1-2-21111-2-211112200-2-2-1-1-1-1-1-1-1-1111100000000000000
χ322222-122222-12-1-122-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-12-1-12-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-21111-2-2002211111111-1-1-1-100000000000000
χ332222-1222-2-2-12-1-1221111-1-2-1-1-1000022-1-111-211-21133−3−333−3−3222200003333−3−3−3−3-2-1-1110033−3−30033−3−3-2-20000-1-111-1-11133−3−300000000000000
χ342222-1222-2-2-12-1-1221111-1-2-1-1-1000022-1-111-211-21133−3−333−3−3-2-2-2-20000−3−3−3−33333-2-1-1110033−3−30033−3−322000011-1-111-1-1−3−33300000000000000
χ352222-1222-2-2-12-1-1221111-1-2-1-1-1000022-1-111-211-211−3−333−3−33322220000−3−3−3−33333-2-1-11100−3−33300−3−333-2-20000-1-111-1-111−3−33300000000000000
χ362222-1222-2-2-12-1-1221111-1-2-1-1-1000022-1-111-211-211−3−333−3−333-2-2-2-200003333−3−3−3−3-2-1-11100−3−33300−3−33322000011-1-111-1-133−3−300000000000000
χ372222-12-2-222-12-1-122-1-1-1-1-1-2-1-1-122-2-2-2-211112-1-12-1-1-1-1-1-1111122-2-22222-1-1-1-1-1-1-1-1-2111122-1-1-1-1-2-21111-2200-2-2-1-1-1-11111111100000000000000
χ382222-12-2-222-12-1-122-1-1-1-1-1-2-1-1-122-2-2-2-211112-1-12-1-1-1-1-1-11111-2-222-2-2-2-211111111-2111122-1-1-1-1-2-211112-200221111-1-1-1-1-1-1-1-100000000000000
χ392222-12-2-222-12-1-122-1-1-1-1-1-2-1-1-1-2-222-2-211112-1-12-1-11111-1-1-1-122-2-2-2-2-2-211111111-21111-2-2111122-1-1-1-1-220022-1-1-1-11111-1-1-1-100000000000000
χ402222-12-2-222-12-1-122-1-1-1-1-1-2-1-1-1-2-222-2-211112-1-12-1-11111-1-1-1-1-2-2222222-1-1-1-1-1-1-1-1-21111-2-2111122-1-1-1-12-200-2-21111-1-1-1-1111100000000000000
χ412222-12-2-2-2-2-12-1-1221111-12-1-1-10000-2-211-1-1-211-21133−3−3−3−33322-2-200003333−3−3−3−3211-1-10033−3−300−3−3332-20000-1-11111-1-1−3−33300000000000000
χ422222-12-2-2-2-2-12-1-1221111-12-1-1-10000-2-211-1-1-211-21133−3−3−3−333-2-2220000−3−3−3−33333211-1-10033−3−300−3−333-22000011-1-1-1-11133−3−300000000000000
χ432222-12-2-2-2-2-12-1-1221111-12-1-1-10000-2-211-1-1-211-211−3−33333−3−322-2-20000−3−3−3−33333211-1-100−3−3330033−3−32-20000-1-11111-1-133−3−300000000000000
χ442222-12-2-2-2-2-12-1-1221111-12-1-1-10000-2-211-1-1-211-211−3−33333−3−3-2-22200003333−3−3−3−3211-1-100−3−3330033−3−3-22000011-1-1-1-111−3−33300000000000000
χ452-22-2222i−2i00-2-22-22-20000202-2-2−i2i22−22i−2i2i−2i00000000−i2i2−i2i22−22−22i−2i2-222−2−222−2−222−2−202i−2i00−i2i2−i2i2−i2i22−22−22−20000−i2i22i−2i002-200−i2i2−i2i200000000000000
χ462-22-2222i−2i00-2-22-22-20000202-2-2−i2i22−22i−2i2i−2i00000000−i2i2−i2i22−22−2−2i2i-22−2−222−2−222−2−22202i−2i00−i2i2−i2i2−i2i22−22−22−20000i2−i2−2i2i00-2200i2−i2i2−i200000000000000
χ472-22-2222i−2i00-2-22-22-20000202-2-2i2−i2−222i−2i2i−2i00000000i2−i2i2−i2−22−222i−2i2-2−2−222−2−222−2−22202i−2i00i2−i2i2−i2i2−i2−22−22−220000i2−i22i−2i002-200i2−i2i2−i200000000000000
χ482-22-2222i−2i00-2-22-22-20000202-2-2i2−i2−222i−2i2i−2i00000000i2−i2i2−i2−22−22−2i2i-2222−2−222−2−222−2−202i−2i00i2−i2i2−i2i2−i2−22−22−220000−i2i2−2i2i00-2200−i2i2−i2i200000000000000
χ492-22-222−2i2i00-2-22-22-20000202-2-2−i2i2−22−2i2i−2i2i00000000−i2i2−i2i2−22−222i−2i-2222−2−222−2−222−2−20−2i2i00−i2i2−i2i2−i2i2−22−22−220000i2−i22i−2i00-2200i2−i2i2−i200000000000000
χ502-22-222−2i2i00-2-22-22-20000202-2-2−i2i2−22−2i2i−2i2i00000000−i2i2−i2i2−22−22−2i2i2-2−2−222−2−222−2−2220−2i2i00−i2i2−i2i2−i2i2−22−22−220000−i2i2−2i2i002-200−i2i2−i2i200000000000000
χ512-22-222−2i2i00-2-22-22-20000202-2-2i2−i22−2−2i2i−2i2i00000000i2−i2i2−i22−22−22i−2i-22−2−222−2−222−2−2220−2i2i00i2−i2i2−i2i2−i22−22−22−20000−i2i22i−2i00-2200−i2i2−i2i200000000000000
χ522-22-222−2i2i00-2-22-22-20000202-2-2i2−i22−2−2i2i−2i2i00000000i2−i2i2−i22−22−2−2i2i2-222−2−222−2−222−2−20−2i2i00i2−i2i2−i2i2−i22−22−22−20000i2−i2−2i2i002-200i2−i2i2−i200000000000000
χ532-22-2-122i−2i001-2-112-23−33−3-10-111−i2i22−22i−2i−ii−i3i303−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72i−2i2-222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70−ii−i3i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000−i2i2−ii−i3i3-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ542-22-2-122i−2i001-2-112-23−33−3-10-111−i2i22−22i−2i−ii−i3i303−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−2i2i-22−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70−ii−i3i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000i2−i2i−ii3−i31-1−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ552-22-2-122i−2i001-2-112-23−33−3-10-111i2−i2−222i−2i−ii−i3i303−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72i−2i2-2−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70−ii−i3i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000i2−i2−ii−i3i3-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ562-22-2-122i−2i001-2-112-23−33−3-10-111i2−i2−222i−2i−ii−i3i303−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2i2i-2222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70−ii−i3i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000−i2i2i−ii3−i31-1−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ572-22-2-122i−2i001-2-112-2−33−33-10-111−i2i22−22i−2i−iii3−i30−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232i−2i2-222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230−iii3−i3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000−i2i2−iii3−i3-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ582-22-2-122i−2i001-2-112-2−33−33-10-111−i2i22−22i−2i−iii3−i30−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−2i2i-22−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230−iii3−i3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000i2−i2i−i−i3i31-13−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ592-22-2-122i−2i001-2-112-2−33−33-10-111i2−i2−222i−2i−iii3−i30−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232i−2i2-2−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230−iii3−i3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000i2−i2−iii3−i3-11−33−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.