Finite Group Databasebeta

← Group #11878731

Character table — Group #11878731

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order122222334466666612121212346666666888812121212121212122424242424242424444444121212121212121266121212242424242424242424242424488881212121224242424242424242444121212126122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-111-1-1
χ91111-1-1111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-11111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-111-1-11-11-11-1
χ101111-1-1111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-11111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-11-11-11
χ111111-1-1111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111111-1-1-1-111111-11-111-1-11-1-11-11
χ121111-1-1111111111111111-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111111-1-1-1-11111-11-11-1-111-111-11-1
χ131111-1-1111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-1111-11-1-11
χ141111-1-1111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-11111-111-111-1-1-11-111-1
χ151111-1-1111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-11-1-11-1-1111-1-111-1
χ161111-1-1111111111111111-1-1-1-1-1111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-1-111-111-1-1-111-1-11
χ1722222222-2-2222222-2-2-2-22-222222220000-2-2-2-2-2-2-2-20000000022-2-2-2-22222-2-2-2-222-2-2-20000000000002000022-2-20000000000000000000000
χ1822222222-2-2222222-2-2-2-22-222222220000-2-2-2-2-2-2-2-200000000-2-22222-2-2-2-2222222-2-2-2000000000000-20000-2-2220000000000000000000000
χ192222222-122-1222-1-12222-1222-1-1-1-1-1222222-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ202222222-122-1222-1-12222-1222-1-1-1-1-1222222-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ212222222-122-1222-1-12222-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-11111111111110000000000000000022-2-21111-1-10000
χ222222222-122-1222-1-12222-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-111111111111100000000000000000-2-222-1-1-1-1110000
χ23222222-12222-1-1-122-1-1-1-1-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ24222222-12222-1-1-122-1-1-1-1-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-1-12-1-122-1-1-1-122-1-1-1-1-2-2-2-2-211111111111100000000000000
χ25222222-12222-1-1-122-1-1-1-1-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-12-1-1-2-21111-2-211112-2-2-2-2-1-1-1-11111111100000000000000
χ26222222-12222-1-1-122-1-1-1-1-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-111111111-2-2-2-2-2-211111111-1-12-1-1-2-21111-2-21111-222221111-1-1-1-1-1-1-1-100000000000000
χ27222222-12-2-22-1-1-1221111-1-2-1-122-1-1-1000011-2-2111133−3−333−3−322-2-2-2-2-1-1-1-11111-1-1-2110033−3−30033−3−320000-1-11133−3−333−3−300000000000000
χ28222222-12-2-22-1-1-1221111-1-2-1-122-1-1-1000011-2-2111133−3−333−3−3-2-222221111-1-1-1-1-1-1-2110033−3−30033−3−3-2000011-1-1−3−333−3−33300000000000000
χ29222222-12-2-22-1-1-1221111-1-2-1-122-1-1-1000011-2-21111−3−333−3−33322-2-2-2-2-1-1-1-11111-1-1-21100−3−33300−3−33320000-1-111−3−333−3−33300000000000000
χ30222222-12-2-22-1-1-1221111-1-2-1-122-1-1-1000011-2-21111−3−333−3−333-2-222221111-1-1-1-1-1-1-21100−3−33300−3−333-2000011-1-133−3−333−3−300000000000000
χ312222-2-222-2-2222222-2-2-2-222-2-2-2-2222000022-2-2-2-2-2-20000000022-2-2222222-2-2-2-2-2-2222000000000000-20000-2-2220000000000000000000000
χ322222-2-222-2-2222222-2-2-2-222-2-2-2-2222000022-2-2-2-2-2-200000000-2-222-2-2-2-2-2-22222-2-22220000000000002000022-2-20000000000000000000000
χ332222-2-22-122-1222-1-12222-1-2-2-211-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-20000000000000011111-1-1-1-1-1-1111111000000000000000002-22-2-1-111-110000
χ342222-2-22-122-1222-1-12222-1-2-2-211-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-20000000000000011111-1-1-1-1-1-111111100000000000000000-22-2211-1-11-10000
χ352222-2-22-122-1222-1-12222-1-2-2-211-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-222220000000000000011111111111-1-1-1-1-1-1000000000000000002-2-2211-1-1-110000
χ362222-2-22-122-1222-1-12222-1-2-2-211-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-222220000000000000011111111111-1-1-1-1-1-100000000000000000-222-2-1-1111-10000
χ372222-2-2-12222-1-1-122-1-1-1-1-1-211-2-2-1-1-122-2-21122-1-1-1-1-1-1-1-111112222-2-2-1-1-1-1-1-1-1-111-21122-1-1-1-1-2-21111-222-2-21111-1-1-1-1111100000000000000
χ382222-2-2-12222-1-1-122-1-1-1-1-1-211-2-2-1-1-122-2-21122-1-1-1-1-1-1-1-11111-2-2-2-2221111111111-21122-1-1-1-1-2-211112-2-222-1-1-1-11111-1-1-1-100000000000000
χ392222-2-2-12222-1-1-122-1-1-1-1-1-211-2-2-1-1-1-2-2221122-1-1-1-11111-1-1-1-12222-2-2-1-1-1-1-1-1-1-111-211-2-2111122-1-1-1-1-2-2-22211111111-1-1-1-100000000000000
χ402222-2-2-12222-1-1-122-1-1-1-1-1-211-2-2-1-1-1-2-2221122-1-1-1-11111-1-1-1-1-2-2-2-2221111111111-211-2-2111122-1-1-1-1222-2-2-1-1-1-1-1-1-1-1111100000000000000
χ412222-2-2-12-2-22-1-1-1221111-1211-2-2-1-1-10000-1-1-2-2111133−3−3−3−33322-2-222-1-1-1-11111112-1-10033−3−300−3−333-2000011-1-133−3−3−3−33300000000000000
χ422222-2-2-12-2-22-1-1-1221111-1211-2-2-1-1-10000-1-1-2-2111133−3−3−3−333-2-222-2-21111-1-1-1-1112-1-10033−3−300−3−33320000-1-111−3−33333−3−300000000000000
χ432222-2-2-12-2-22-1-1-1221111-1211-2-2-1-1-10000-1-1-2-21111−3−33333−3−322-2-222-1-1-1-11111112-1-100−3−3330033−3−3-2000011-1-1−3−33333−3−300000000000000
χ442222-2-2-12-2-22-1-1-1221111-1211-2-2-1-1-10000-1-1-2-21111−3−33333−3−3-2-222-2-21111-1-1-1-1112-1-100−3−3330033−3−320000-1-11133−3−3−3−33300000000000000
χ452-22-22-22200-2-22-22-20000202-22-22-2-2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2002-22-2000022-2-22-2000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20−i2i2−i2i2002-2−i2i2−i2i2−i2i2−i2i200000000000000
χ462-22-22-22200-2-22-22-20000202-22-22-2-2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i200-22-220000-2-2222-2000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20i2−i2i2−i200-22i2−i2i2−i2i2−i2i2−i200000000000000
χ472-22-22-22200-2-22-22-20000202-22-22-2-2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2002-22-2000022-2-22-2000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20i2−i2i2−i2002-2i2−i2i2−i2i2−i2i2−i200000000000000
χ482-22-22-22200-2-22-22-20000202-22-22-2-2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i200-22-220000-2-2222-2000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20−i2i2−i2i200-22−i2i2−i2i2−i2i2−i2i200000000000000
χ492-22-22-2-1200-21-112-233−3−3-10-112-2-111−i2i2−i2i23−30033−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23002-22-233−3−3-1-111-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230−i2i2−i2i23−3-11ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ502-22-22-2-1200-21-112-233−3−3-10-112-2-111−i2i2−i2i23−30033−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300-22-22−3−33311-1-1-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230i2−i2i2−i2−331-1−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ512-22-22-2-1200-21-112-233−3−3-10-112-2-111i2−i2i2−i23−30033−3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23002-22-233−3−3-1-111-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230i2−i2i2−i23−3-11−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ522-22-22-2-1200-21-112-233−3−3-10-112-2-111i2−i2i2−i23−30033−3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300-22-22−3−33311-1-1-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230−i2i2−i2i2−331-1ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ532-22-22-2-1200-21-112-2−3−333-10-112-2-111−i2i2−i2i2−3300−3−333ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7002-22-2−3−333-1-111-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70−i2i2−i2i2−33-11ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ542-22-22-2-1200-21-112-2−3−333-10-112-2-111−i2i2−i2i2−3300−3−333ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700-22-2233−3−311-1-1-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70i2−i2i2−i23−31-1−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ552-22-22-2-1200-21-112-2−3−333-10-112-2-111i2−i2i2−i2−3300−3−333−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7002-22-2−3−333-1-111-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70i2−i2i2−i2−33-11−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ562-22-22-2-1200-21-112-2−3−333-10-112-2-111i2−i2i2−i2−3300−3−333−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700-22-2233−3−311-1-1-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70−i2i2−i2i23−31-1ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ572-22-2-222200-2-22-22-2000020-22-222-2-2−i2i2i2−i200000000−i2i2−i2i2i2−i2i2−i2002-2-22000022-2-2-22000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20−i2i2i2−i200-22−i2i2−i2i2i2−i2i2−i200000000000000
χ582-22-2-222200-2-22-22-2000020-22-222-2-2−i2i2i2−i200000000−i2i2−i2i2i2−i2i2−i200-222-20000-2-222-22000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20i2−i2−i2i2002-2i2−i2i2−i2−i2i2−i2i200000000000000
χ592-22-2-222200-2-22-22-2000020-22-222-2-2i2−i2−i2i200000000i2−i2i2−i2−i2i2−i2i2002-2-22000022-2-2-22000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20i2−i2−i2i200-22i2−i2i2−i2−i2i2−i2i200000000000000
χ602-22-2-222200-2-22-22-2000020-22-222-2-2i2−i2−i2i200000000i2−i2i2−i2−i2i2−i2i200-222-20000-2-222-22000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20−i2i2i2−i2002-2−i2i2−i2i2i2−i2i2−i200000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.