Finite Group Databasebeta

← Group #11898270

Character table — Group #11898270

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222244444444444444444444444444444446666666666668888888888888881212121212121212121212121212121212121212121212122424242424242424243636727272
order1222334444444466666612121212344466612121212121212121212121212121212121212121212121288882424242424242424121212121212121212121212121212448888881212121224242424242424242424242422266666644222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111-1-1-1-111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-1
χ611111111-1-1-1-111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-111
χ711111111-1-1-1-111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-111
χ811111111-1-1-1-111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-11111111-1-1
χ9111111-1-111-1-11111111111111-11-111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111-11-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-111-1-111-11-1
χ10111111-1-111-1-11111111111111-11-111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-111-1-11-11
χ11111111-1-111-1-11111111111111-11-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-11111-11-1-1-111-1-1-1-11-11
χ12111111-1-111-1-11111111111111-11-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1111-1-11111-11-1
χ13111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-11
χ14111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-111-1
χ15111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-11-1-1-1-111-1-111-1
χ16111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-11111-1-111-1-11
χ17222222222222-2-2222222-2-2-2-22-2-2-2222-2-222-2-222-2-222-2-2222222-2-2-2-2000000000000-2-2-222-2-222-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2-2-2-2-2222222-2-2-2-22-222222-2-222-2-2-2-222-2-22222-2-2-2-2-2-2-2-2000000000000-22222-2-2-2-222-2-22200000000000000000000000000000000000000
χ19222222-2-222-2-2-2-2222222-2-2-2-222-22222-2-2-2-22222-2-2-2-222-2-222-2-2-2-2-2-20000000000002-22-2-22222-2-2-2-22200000000000000000000000000000000000000
χ20222222-2-2-2-222-2-2222222-2-2-2-2222-2222-2-2-2-222-2-22222-2-2-2-2-2-222-2-2-2-200000000000022-2-2-222-2-22222-2-200000000000000000000000000000000000000
χ2122222-1222222222-122-1-12222-1222-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000-1-1-1-1000000000000222-1-1-1-1-1-100000
χ2222222-1222222222-122-1-12222-1222-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000001111000000000000-2-2-211111100000
χ2322222-1222222-2-22-122-1-1-2-2-2-2-1-2-2-2-1-1-11122-2-222-2-222-2-2-1-1-1-1-1-11111000000000000111-1-111-1-111-1-11100000000−i3−i3i3i3000000000000000−i3i3−i3i3−i3i300000
χ2422222-1222222-2-22-122-1-1-2-2-2-2-1-2-2-2-1-1-11122-2-222-2-222-2-2-1-1-1-1-1-11111000000000000111-1-111-1-111-1-11100000000i3i3−i3−i3000000000000000i3−i3i3−i3i3−i300000
χ2522222-122-2-2-2-2222-122-1-12222-12-2-2-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-11111-1-1-1-1000000000000-111-1-1-1-11111111122000000-1-1-1-10000000000002-2-2-1-1111100000
χ2622222-122-2-2-2-2222-122-1-12222-12-2-2-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-11111-1-1-1-1000000000000-111-1-1-1-111111111-2-20000001111000000000000-22211-1-1-1-100000
χ2722222-122-2-2-2-2-2-22-122-1-1-2-2-2-2-1-222-1-1-11122-2-2-2-222-2-222-1-1111111110000000000001-1-1-1-11111-1-111-1-100000000−i3−i3i3i3000000000000000−i3i3i3−i3i3−i300000
χ2822222-122-2-2-2-2-2-22-122-1-1-2-2-2-2-1-222-1-1-11122-2-2-2-222-2-222-1-1111111110000000000001-1-1-1-11111-1-111-1-100000000i3i3−i3−i3000000000000000i3−i3−i3i3−i3i300000
χ2922222-1-2-222-2-2222-122-1-12222-1-22-2-1-1-1-1-1-2-2-2-22222-2-2-2-211-1-111-1-1-1-10000000000001-111111-1-1-1-1111122000000-1-1-1-1000000000000-22-211-1-11100000
χ3022222-1-2-222-2-2222-122-1-12222-1-22-2-1-1-1-1-1-2-2-2-22222-2-2-2-211-1-111-1-1-1-10000000000001-111111-1-1-1-11111-2-200000011110000000000002-22-1-111-1-100000
χ3122222-1-2-222-2-2-2-22-122-1-1-2-2-2-2-12-22-1-1-111-2-22222-2-2-2-22211-1-1111111000000000000-11-111-1-1-1-11111-1-100000000−i3−i3i3i3000000000000000i3−i3−i3i3i3−i300000
χ3222222-1-2-222-2-2-2-22-122-1-1-2-2-2-2-12-22-1-1-111-2-22222-2-2-2-22211-1-1111111000000000000-11-111-1-1-1-11111-1-100000000i3i3−i3−i3000000000000000−i3i3i3−i3−i3i300000
χ3322222-1-2-2-2-222222-122-1-12222-1-2-22-1-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-1-1-1-100000000000011-111111111-1-1-1-122000000-1-1-1-1000000000000-2-221111-1-100000
χ3422222-1-2-2-2-222222-122-1-12222-1-2-22-1-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-1-1-1-100000000000011-111111111-1-1-1-1-2-2000000111100000000000022-2-1-1-1-11100000
χ3522222-1-2-2-2-222-2-22-122-1-1-2-2-2-2-122-2-1-1-111-2-222-2-22222-2-21111-1-11111000000000000-1-1111-1-111-1-1-1-11100000000−i3−i3i3i3000000000000000i3−i3i3−i3−i3i300000
χ3622222-1-2-2-2-222-2-22-122-1-1-2-2-2-2-122-2-1-1-111-2-222-2-22222-2-21111-1-11111000000000000-1-1111-1-111-1-1-1-11100000000i3i3−i3−i3000000000000000−i3i3−i3i3i3−i300000
χ372222-1222222222-12-1-122-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1002222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ382222-1222222222-12-1-122-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-211111111222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2000011111111111100000000000000
χ392222-12222222-2-2-12-1-1221111-1-2-2-2-1-1-1-2-2-1-111-1-111-1-111222222111100003333−3−3−3−3-2-2-2-1-111-1-111-1-11100000000000033−3−333−3−333−3−300000000000000
χ402222-12222222-2-2-12-1-1221111-1-2-2-2-1-1-1-2-2-1-111-1-111-1-11122222211110000−3−3−3−33333-2-2-2-1-111-1-111-1-111000000000000−3−333−3−333−3−33300000000000000
χ412222-1222-2-2-2-222-12-1-122-1-1-1-1-12-2-2-1-1-122-1-1-1-11111111122-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-12-2-2-1-1-1-1111111110022-2-2-2-20000-1-1-1-11111111100000000000000
χ422222-1222-2-2-2-222-12-1-122-1-1-1-1-12-2-2-1-1-122-1-1-1-11111111122-2-2-2-2-1-1-1-1-2-2-2-2111111112-2-2-1-1-1-11111111100-2-2222200001111-1-1-1-1-1-1-1-100000000000000
χ432222-1222-2-2-2-2-2-2-12-1-1221111-1-222-1-1-1-2-2-1-11111-1-111-1-122-2-2-2-2111100003333−3−3−3−3-222-1-11111-1-111-1-100000000000033−3−3−3−333−3−33300000000000000
χ442222-1222-2-2-2-2-2-2-12-1-1221111-1-222-1-1-1-2-2-1-11111-1-111-1-122-2-2-2-211110000−3−3−3−33333-222-1-11111-1-111-1-1000000000000−3−33333−3−333−3−300000000000000
χ452222-12-2-222-2-222-12-1-122-1-1-1-1-1-22-2-1-1-1221111-1-1-1-11111-2-222-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-22-21111-1-1-1-1111100-2-222-2-200001111-1-1-1-1111100000000000000
χ462222-12-2-222-2-222-12-1-122-1-1-1-1-1-22-2-1-1-1221111-1-1-1-11111-2-222-2-2-1-1-1-1-2-2-2-211111111-22-21111-1-1-1-111110022-2-2220000-1-1-1-11111-1-1-1-100000000000000
χ472222-12-2-222-2-2-2-2-12-1-1221111-12-22-1-1-1-2-211-1-1-1-11111-1-1-2-222-2-2111100003333−3−3−3−32-2211-1-1-1-11111-1-1000000000000−3−33333−3−3−3−33300000000000000
χ482222-12-2-222-2-2-2-2-12-1-1221111-12-22-1-1-1-2-211-1-1-1-11111-1-1-2-222-2-211110000−3−3−3−333332-2211-1-1-1-11111-1-100000000000033−3−3−3−33333−3−300000000000000
χ492222-12-2-2-2-22222-12-1-122-1-1-1-1-1-2-22-1-1-12211111111-1-1-1-1-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2211111111-1-1-1-100-2-2-2-222000011111111-1-1-1-100000000000000
χ502222-12-2-2-2-22222-12-1-122-1-1-1-1-1-2-22-1-1-12211111111-1-1-1-1-2-2-2-222-1-1-1-1-2-2-2-211111111-2-2211111111-1-1-1-1002222-2-20000-1-1-1-1-1-1-1-1111100000000000000
χ512222-12-2-2-2-222-2-2-12-1-1221111-122-2-1-1-1-2-211-1-111-1-1-1-111-2-2-2-222111100003333−3−3−3−322-211-1-111-1-1-1-111000000000000−3−333−3−33333−3−300000000000000
χ522222-12-2-2-2-222-2-2-12-1-1221111-122-2-1-1-1-2-211-1-111-1-1-1-111-2-2-2-22211110000−3−3−3−3333322-211-1-111-1-1-1-11100000000000033−3−333−3−3−3−33300000000000000
χ5322-2-2220000002-222-2-2-2-222-2-220002-2-22-200000000000000000022-2-222-2-222-2-222-2-20000000000000002i−2i0000002i−2i2i−2i0000000000000000000002i−2i000
χ5422-2-2220000002-222-2-2-2-222-2-220002-2-22-200000000000000000022-2-222-2-222-2-222-2-2000000000000000−2i2i000000−2i2i−2i2i000000000000000000000−2i2i000
χ5522-2-2220000002-222-2-2-2-222-2-220002-2-22-200000000000000000022-2-2-2-222-2-222-2-2220000000000000002i−2i0000002i−2i2i−2i000000000000000000000−2i2i000
χ5622-2-2220000002-222-2-2-2-222-2-220002-2-22-200000000000000000022-2-2-2-222-2-222-2-222000000000000000−2i2i000000−2i2i−2i2i0000000000000000000002i−2i000
χ572-2-22222-22-22-200-2-22-2-2200002000-22-2002-2002-2002-2002-22-22-200002−22−22−22−22−22−20002-2002-2002-200002−22−22−200002−22−22−22−22−22−200000000000000
χ582-2-22222-22-22-200-2-22-2-2200002000-22-2002-2002-2002-2002-22-22-20000−22−22−22−22−22−220002-2002-2002-20000−22−22−220000−22−22−22−22−22−2200000000000000
χ592-2-22222-2-22-2200-2-22-2-2200002000-22-2002-200-2200-22002-2-22-2200002−22−22−22−22−22−20002-200-2200-2200002−2−22−2200002−22−2−22−22−22−2200000000000000
χ602-2-22222-2-22-2200-2-22-2-2200002000-22-2002-200-2200-22002-2-22-220000−22−22−22−22−22−220002-200-2200-220000−222−22−20000−22−222−22−22−22−200000000000000
χ612-2-2222-222-2-2200-2-22-2-2200002000-22-200-22002-200-2200-222-2-2200002−22−22−22−22−22−2000-22002-200-220000−222−2−220000−22−222−22−2−22−2200000000000000
χ622-2-2222-222-2-2200-2-22-2-2200002000-22-200-22002-200-2200-222-2-220000−22−22−22−22−22−22000-22002-200-2200002−2−222−200002−22−2−22−222−22−200000000000000
χ632-2-2222-22-222-200-2-22-2-2200002000-22-200-2200-22002-200-22-222-200002−22−22−22−22−22−2000-2200-22002-20000−22−222−20000−22−22−22−222−22−200000000000000
χ642-2-2222-22-222-200-2-22-2-2200002000-22-200-2200-22002-200-22-222-20000−22−22−22−22−22−22000-2200-22002-200002−22−2−2200002−22−22−22−2−22−2200000000000000
χ652-2-22-122-22-22-2001-2-11-223−33−3-10001-1100-113−3-113−3-113−32-22-22-23−33−32−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000-113−3-113−3-113−3002−22−22−20000ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ662-2-22-122-22-22-2001-2-11-223−33−3-10001-1100-113−3-113−3-113−32-22-22-23−33−3−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000-113−3-113−3-113−300−22−22−220000−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ672-2-22-122-22-22-2001-2-11-22−33−33-10001-1100-11−33-11−33-11−332-22-22-2−33−332−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000-11−33-11−33-11−33002−22−22−20000ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ682-2-22-122-22-22-2001-2-11-22−33−33-10001-1100-11−33-11−33-11−332-22-22-2−33−33−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000-11−33-11−33-11−3300−22−22−220000−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−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.