Finite Group Databasebeta

← Group #11898378

Character table — Group #11898378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222244444444444444444444444444444446666666666668888888888888881212121212121212121212121212121212121212121212122424242424242424243636727272
order12223344444444666666121212123444666121212121212121212121212121212121212121212121212888824242424242424241212121212121212121212121212124488888812121212242424242424242424242424244661212121244244
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
χ511111111-1-1-1-11111111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-11-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-11-1
χ611111111-1-1-1-11111111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111-1-11-11
χ711111111-1-1-1-11111111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111111111-11-1-1-111-1-1-1-11-11
χ811111111-1-1-1-11111111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1111-1-11111-11-1
χ9111111-1-111-1-11111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-11-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-1-11111-1-11
χ10111111-1-111-1-11111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-111-1
χ11111111-1-111-1-11111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-11111-1-11-1-1-1-111-1-111-1
χ12111111-1-111-1-11111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-11111-1-111-1-11
χ13111111-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1
χ14111111-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-111
χ15111111-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1-1-11-1-111-1-1-1-1-1-1-111
χ16111111-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111111-1-1
χ17222222222222-2-2222222-2-2-2-22-2-2-22222222-2-22222-2-222-2-222-2-2-2-2-2-2000000000000-2-2-222-2-222-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2-2-2-2-2222222-2-2-2-222-222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-20000000000002-2222-2-2-2-222-2-22200000000000000000000000000000000000000
χ19222222-2-222-2-2-2-2222222-2-2-2-2222-2222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-200000000000022-2-2-22222-2-2-2-22200000000000000000000000000000000000000
χ20222222-2-2-2-222-2-2222222-2-2-2-22-222222-2-2-2-222-2-2-2-22222-2-222-2-2-2-2-2-2000000000000-222-2-222-2-22222-2-200000000000000000000000000000000000000
χ2122222-122222222222-1-1-12222-1222-1-1-122-1-12222-1-1222222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000-1-1-1-1000000000000222-1-1-1-1-1-100000
χ2222222-122222222222-1-1-12222-1222-1-1-122-1-12222-1-1222222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000001111000000000000-2-2-211111100000
χ2322222-1222222-2-2222-1-1-1-2-2-2-2-1-2-2-2-1-1-122-1-1-2-222-1-1-2-222-2-2-1-1111111000000000000111-1-111-1-111-1-11100000000−i3−i3i3i3000000000000000−i3i3−i3i3−i3i300000
χ2422222-1222222-2-2222-1-1-1-2-2-2-2-1-2-2-2-1-1-122-1-1-2-222-1-1-2-222-2-2-1-1111111000000000000111-1-111-1-111-1-11100000000i3i3−i3−i3000000000000000i3−i3i3−i3i3−i300000
χ2522222-122-2-2-2-222222-1-1-12222-1-22-2-1-1-122-1-122-2-211-2-2-2-2-2-211-1-1-1-1-1-10000000000001-11-1-1-1-11111111122000000-1-1-1-1000000000000-22-211-1-11100000
χ2622222-122-2-2-2-222222-1-1-12222-1-22-2-1-1-122-1-122-2-211-2-2-2-2-2-211-1-1-1-1-1-10000000000001-11-1-1-1-111111111-2-200000011110000000000002-22-1-111-1-100000
χ2722222-122-2-2-2-2-2-2222-1-1-1-2-2-2-2-12-22-1-1-122-1-1-2-2-2-21122-2-22211111111000000000000-11-1-1-11111-1-111-1-100000000−i3−i3i3i3000000000000000i3−i3−i3i3i3−i300000
χ2822222-122-2-2-2-2-2-2222-1-1-1-2-2-2-2-12-22-1-1-122-1-1-2-2-2-21122-2-22211111111000000000000-11-1-1-11111-1-111-1-100000000i3i3−i3−i3000000000000000−i3i3i3−i3−i3i300000
χ2922222-1-2-222-2-222222-1-1-12222-1-2-22-1-1-1-2-211-2-222-1-122-2-2-2-211-1-1-1-1-1-100000000000011-11111-1-1-1-1111122000000-1-1-1-1000000000000-2-221111-1-100000
χ3022222-1-2-222-2-222222-1-1-12222-1-2-22-1-1-1-2-211-2-222-1-122-2-2-2-211-1-1-1-1-1-100000000000011-11111-1-1-1-11111-2-2000000111100000000000022-2-1-1-1-11100000
χ3122222-1-2-222-2-2-2-2222-1-1-1-2-2-2-2-122-2-1-1-1-2-2112222-1-1-2-2-2-22211111111000000000000-1-1111-1-1-1-11111-1-100000000−i3−i3i3i3000000000000000i3−i3i3−i3−i3i300000
χ3222222-1-2-222-2-2-2-2222-1-1-1-2-2-2-2-122-2-1-1-1-2-2112222-1-1-2-2-2-22211111111000000000000-1-1111-1-1-1-11111-1-100000000i3i3−i3−i3000000000000000−i3i3−i3i3i3−i300000
χ3322222-1-2-2-2-22222222-1-1-12222-12-2-2-1-1-1-2-211-2-2-2-211-2-22222-1-1-1-1-1-1-1-1000000000000-11111111111-1-1-1-122000000-1-1-1-10000000000002-2-2-1-1111100000
χ3422222-1-2-2-2-22222222-1-1-12222-12-2-2-1-1-1-2-211-2-2-2-211-2-22222-1-1-1-1-1-1-1-1000000000000-11111111111-1-1-1-1-2-20000001111000000000000-22211-1-1-1-100000
χ3522222-1-2-2-2-222-2-2222-1-1-1-2-2-2-2-1-222-1-1-1-2-21122-2-2112222-2-2-1-11111110000000000001-1-111-1-111-1-1-1-11100000000−i3−i3i3i3000000000000000−i3i3i3−i3i3−i300000
χ3622222-1-2-2-2-222-2-2222-1-1-1-2-2-2-2-1-222-1-1-1-2-21122-2-2112222-2-2-1-11111110000000000001-1-111-1-111-1-1-1-11100000000i3i3−i3−i3000000000000000i3−i3−i3i3−i3i300000
χ372222-1222222222-1-1-1222-1-1-1-1-1222-1-1-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1002222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ382222-1222222222-1-1-1222-1-1-1-1-1222-1-1-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2000011111111111100000000000000
χ392222-12222222-2-2-1-1-12221111-1-2-2-2-1-1-1-1-12211-1-12211-1-11122-2-2111100003333−3−3−3−3-2-2-2-1-111-1-111-1-11100000000000033−3−333−3−333−3−300000000000000
χ402222-12222222-2-2-1-1-12221111-1-2-2-2-1-1-1-1-12211-1-12211-1-11122-2-211110000−3−3−3−33333-2-2-2-1-111-1-111-1-111000000000000−3−333−3−333−3−33300000000000000
χ412222-1222-2-2-2-222-1-1-1222-1-1-1-1-1-22-2-1-1-1-1-122-1-111-2-2111111-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-22-2-1-1-1-1111111110022-2-2-2-20000-1-1-1-11111111100000000000000
χ422222-1222-2-2-2-222-1-1-1222-1-1-1-1-1-22-2-1-1-1-1-122-1-111-2-2111111-2-222-1-1-1-1-2-2-2-211111111-22-2-1-1-1-11111111100-2-2222200001111-1-1-1-1-1-1-1-100000000000000
χ432222-1222-2-2-2-2-2-2-1-1-12221111-12-22-1-1-1-1-1221111-2-2-1-111-1-1-2-2-2-2111100003333−3−3−3−32-22-1-11111-1-111-1-100000000000033−3−3−3−333−3−33300000000000000
χ442222-1222-2-2-2-2-2-2-1-1-12221111-12-22-1-1-1-1-1221111-2-2-1-111-1-1-2-2-2-211110000−3−3−3−333332-22-1-11111-1-111-1-1000000000000−3−33333−3−333−3−300000000000000
χ452222-12-2-222-2-222-1-1-1222-1-1-1-1-1-2-22-1-1-111-2-211-1-122-1-11111-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-2-221111-1-1-1-1111100-2-222-2-200001111-1-1-1-1111100000000000000
χ462222-12-2-222-2-222-1-1-1222-1-1-1-1-1-2-22-1-1-111-2-211-1-122-1-11111-2-222-1-1-1-1-2-2-2-211111111-2-221111-1-1-1-111110022-2-2220000-1-1-1-11111-1-1-1-100000000000000
χ472222-12-2-222-2-2-2-2-1-1-12221111-122-2-1-1-111-2-2-1-1-1-1221111-1-1-2-2-2-2111100003333−3−3−3−322-211-1-1-1-11111-1-1000000000000−3−33333−3−3−3−33300000000000000
χ482222-12-2-222-2-2-2-2-1-1-12221111-122-2-1-1-111-2-2-1-1-1-1221111-1-1-2-2-2-211110000−3−3−3−3333322-211-1-1-1-11111-1-100000000000033−3−3−3−33333−3−300000000000000
χ492222-12-2-2-2-22222-1-1-1222-1-1-1-1-12-2-2-1-1-111-2-21111-2-211-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12-2-211111111-1-1-1-100-2-2-2-222000011111111-1-1-1-100000000000000
χ502222-12-2-2-2-22222-1-1-1222-1-1-1-1-12-2-2-1-1-111-2-21111-2-211-1-1-1-12222-1-1-1-1-2-2-2-2111111112-2-211111111-1-1-1-1002222-2-20000-1-1-1-1-1-1-1-1111100000000000000
χ512222-12-2-2-2-222-2-2-1-1-12221111-1-222-1-1-111-2-2-1-111-2-2-1-1-1-11122-2-2111100003333−3−3−3−3-22211-1-111-1-1-1-111000000000000−3−333−3−33333−3−300000000000000
χ522222-12-2-2-2-222-2-2-1-1-12221111-1-222-1-1-111-2-2-1-111-2-2-1-1-1-11122-2-211110000−3−3−3−33333-22211-1-111-1-1-1-11100000000000033−3−333−3−3−3−33300000000000000
χ532-22-2222i−2i2i−2i2-200-22-2-22-200002000-22-22i−2i2i−2i002i−2i2i−2i002-2002-200000022−2−222−2−222−2−20002i−2i002i−2i002-20000−i2i2−i2i22−20000−i2i2−i2i2−i2i2−i2i22−22−200000000000000
χ542-22-2222i−2i2i−2i2-200-22-2-22-200002000-22-22i−2i2i−2i002i−2i2i−2i002-2002-2000000−2−222−2−222−2−2220002i−2i002i−2i002-20000i2−i2i2−i2−220000i2−i2i2−i2i2−i2i2−i2−22−2200000000000000
χ552-22-2222i−2i−2i2i-2200-22-2-22-200002000-22-22i−2i2i−2i00−2i2i−2i2i00-2200-2200000022−2−222−2−222−2−20002i−2i00−2i2i00-220000−i2i2i2−i2−220000−i2i2−i2i2i2−i2i2−i2−22−2200000000000000
χ562-22-2222i−2i−2i2i-2200-22-2-22-200002000-22-22i−2i2i−2i00−2i2i−2i2i00-2200-22000000−2−222−2−222−2−2220002i−2i00−2i2i00-220000i2−i2−i2i22−20000i2−i2i2−i2−i2i2−i2i22−22−200000000000000
χ572-22-222−2i2i2i−2i-2200-22-2-22-200002000-22-2−2i2i−2i2i002i−2i2i−2i00-2200-2200000022−2−222−2−222−2−2000−2i2i002i−2i00-220000i2−i2−i2i2−220000i2−i2i2−i2−i2i2−i2i2−22−2200000000000000
χ582-22-222−2i2i2i−2i-2200-22-2-22-200002000-22-2−2i2i−2i2i002i−2i2i−2i00-2200-22000000−2−222−2−222−2−222000−2i2i002i−2i00-220000−i2i2i2−i22−20000−i2i2−i2i2i2−i2i2−i22−22−200000000000000
χ592-22-222−2i2i−2i2i2-200-22-2-22-200002000-22-2−2i2i−2i2i00−2i2i−2i2i002-2002-200000022−2−222−2−222−2−2000−2i2i00−2i2i002-20000i2−i2i2−i22−20000i2−i2i2−i2i2−i2i2−i22−22−200000000000000
χ602-22-222−2i2i−2i2i2-200-22-2-22-200002000-22-2−2i2i−2i2i00−2i2i−2i2i002-2002-2000000−2−222−2−222−2−222000−2i2i00−2i2i002-20000−i2i2−i2i2−220000−i2i2−i2i2−i2i2−i2i2−22−2200000000000000
χ612-22-2-122i−2i2i−2i2-2001-11-22-23−33−3-10001-11−ii2i−2i−i3i3−ii2i−2i−i3i3-113−32-20033−3−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000−ii−i3i3−ii−i3i3-113−300−i2i2−i2i22−20000ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ622-22-2-122i−2i2i−2i2-2001-11-22-23−33−3-10001-11−ii2i−2i−i3i3−ii2i−2i−i3i3-113−32-20033−3−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23000−ii−i3i3−ii−i3i3-113−300i2−i2i2−i2−220000−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ632-22-2-122i−2i2i−2i2-2001-11-22-2−33−33-10001-11−ii2i−2ii3−i3−ii2i−2ii3−i3-11−332-200−3−33322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000−iii3−i3−iii3−i3-11−3300−i2i2−i2i22−20000ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
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χ652-22-2-122i−2i−2i2i-22001-11-22-23−33−3-10001-11−ii2i−2i−i3i3i−i−2i2ii3−i31-1−33-220033−3−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000−ii−i3i3i−ii3−i31-1−3300−i2i2i2−i2−220000ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.