Finite Group Databasebeta

← Group #11895251

Character table — Group #11895251

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222244444444444444444444444444444446666666666668888888888888881212121212121212121212121212121212121212121212122424242424242424243636727272
order122233444444446666661212121234446661212121212121212121212121212121212121212121212128888242424242424242412121212121212121212121212121222666688888824242424242424242424242444412121212121244244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
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
χ511111111-1-1-1-11111111111111-11-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-11-1
χ611111111-1-1-1-11111111111111-11-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-11-11
χ711111111-1-1-1-11111111111111-11-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-11-11
χ811111111-1-1-1-11111111111111-11-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11111-1-11111-11-1
χ9111111-1-111-1-11111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-11-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-11111-1-11
χ10111111-1-111-1-11111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-111111-1-1-1-111-1
χ11111111-1-111-1-11111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-11111-11-1-1-1-1-111-1-111-1
χ12111111-1-111-1-11111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-111111-1-111-1-11
χ13111111-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111-1-1
χ14111111-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-111
χ15111111-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111
χ16111111-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-11111111-1-1
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
χ1822222222-2-2-2-2-2-2222222-2-2-2-222-22222-2-222-2-2-2-222-2-222-2-222-2-2-2-2-2-2000000000000-22222-2-2-2-222-2-22200000000000000000000000000000000000000
χ19222222-2-222-2-2-2-2222222-2-2-2-2222-2222-2-2-2-22222-2-2-2-222-2-2-2-222-2-2-2-20000000000002-22-2-22222-2-2-2-22200000000000000000000000000000000000000
χ20222222-2-2-2-222-2-2222222-2-2-2-22-222222-2-2-2-222-2-22222-2-222-2-2-2-2-2-2-2-200000000000022-2-2-222-2-22222-2-200000000000000000000000000000000000000
χ2122222-1222222222-122-1-12222-1222-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000000000222-1-1-1-1-1-100000
χ2222222-1222222222-122-1-12222-1222-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000000000000000000-2-2-211111100000
χ2322222-1222222-2-22-122-1-1-2-2-2-2-1-2-2-2-1-1-11122-2-222-2-222-2-2-1-1-1-1-1-11111000000000000111-1-111-1-111-1-11100−i3−i3i3i3000000000000000000000−i3i3−i3i3−i3i300000
χ2422222-1222222-2-22-122-1-1-2-2-2-2-1-2-2-2-1-1-11122-2-222-2-222-2-2-1-1-1-1-1-11111000000000000111-1-111-1-111-1-11100i3i3−i3−i3000000000000000000000i3−i3i3−i3i3−i300000
χ2522222-122-2-2-2-2222-122-1-12222-1-22-2-1-1-1-1-12222-2-2-2-2-2-2-2-211-1-111-1-1-1-1000000000000-111-1-1-1-11111111122-1-1-1-10000000000000000002-2-211-1-11100000
χ2622222-122-2-2-2-2222-122-1-12222-1-22-2-1-1-1-1-12222-2-2-2-2-2-2-2-211-1-111-1-1-1-1000000000000-111-1-1-1-111111111-2-21111000000000000000000-222-1-111-1-100000
χ2722222-122-2-2-2-2-2-22-122-1-1-2-2-2-2-12-22-1-1-11122-2-2-2-222-2-22211-1-11111110000000000001-1-1-1-11111-1-111-1-100−i3−i3i3i3000000000000000000000i3−i3−i3i3i3−i300000
χ2822222-122-2-2-2-2-2-22-122-1-1-2-2-2-2-12-22-1-1-11122-2-2-2-222-2-22211-1-11111110000000000001-1-1-1-11111-1-111-1-100i3i3−i3−i3000000000000000000000−i3i3i3−i3−i3i300000
χ2922222-1-2-222-2-2222-122-1-12222-1-2-22-1-1-1-1-1-2-2-2-22222-2-2-2-21111-1-1-1-1-1-10000000000001-111111-1-1-1-1111122-1-1-1-1000000000000000000-22-21111-1-100000
χ3022222-1-2-222-2-2222-122-1-12222-1-2-22-1-1-1-1-1-2-2-2-22222-2-2-2-21111-1-1-1-1-1-10000000000001-111111-1-1-1-11111-2-211110000000000000000002-22-1-1-1-11100000
χ3122222-1-2-222-2-2-2-22-122-1-1-2-2-2-2-122-2-1-1-111-2-22222-2-2-2-2221111-1-11111000000000000-11-111-1-1-1-11111-1-100−i3−i3i3i3000000000000000000000i3−i3i3−i3−i3i300000
χ3222222-1-2-222-2-2-2-22-122-1-1-2-2-2-2-122-2-1-1-111-2-22222-2-2-2-2221111-1-11111000000000000-11-111-1-1-1-11111-1-100i3i3−i3−i3000000000000000000000−i3i3−i3i3i3−i300000
χ3322222-1-2-2-2-222222-122-1-12222-12-2-2-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-11111-1-1-1-100000000000011-111111111-1-1-1-122-1-1-1-1000000000000000000-2-22-1-1111100000
χ3422222-1-2-2-2-222222-122-1-12222-12-2-2-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-11111-1-1-1-100000000000011-111111111-1-1-1-1-2-2111100000000000000000022-211-1-1-1-100000
χ3522222-1-2-2-2-222-2-22-122-1-1-2-2-2-2-1-222-1-1-111-2-222-2-22222-2-2-1-111111111000000000000-1-1111-1-111-1-1-1-11100−i3−i3i3i3000000000000000000000−i3i3i3−i3i3−i300000
χ3622222-1-2-2-2-222-2-22-122-1-1-2-2-2-2-1-222-1-1-111-2-222-2-22222-2-2-1-111111111000000000000-1-1111-1-111-1-1-1-11100i3i3−i3−i3000000000000000000000i3−i3−i3i3−i3i300000
χ372222-1222222222-12-1-122-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ382222-1222222222-12-1-122-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-211111111222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-211111111111100000000000000
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
χ412222-1222-2-2-2-222-12-1-122-1-1-1-1-1-22-2-1-1-122-1-1-1-111111111-2-222-2-2-1-1-1-12222-1-1-1-1-1-1-1-12-2-2-1-1-1-11111111100000022-2-2-2-2-1-1-1-11111111100000000000000
χ422222-1222-2-2-2-222-12-1-122-1-1-1-1-1-22-2-1-1-122-1-1-1-111111111-2-222-2-2-1-1-1-1-2-2-2-2111111112-2-2-1-1-1-111111111000000-2-222221111-1-1-1-1-1-1-1-100000000000000
χ432222-1222-2-2-2-2-2-2-12-1-1221111-12-22-1-1-1-2-2-1-11111-1-111-1-1-2-222-2-2111100003333−3−3−3−3-222-1-11111-1-111-1-100000000000033−3−3−3−333−3−33300000000000000
χ442222-1222-2-2-2-2-2-2-12-1-1221111-12-22-1-1-1-2-2-1-11111-1-111-1-1-2-222-2-211110000−3−3−3−33333-222-1-11111-1-111-1-1000000000000−3−33333−3−333−3−300000000000000
χ452222-12-2-222-2-222-12-1-122-1-1-1-1-1-2-22-1-1-1221111-1-1-1-11111-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-22-21111-1-1-1-11111000000-2-222-2-21111-1-1-1-1111100000000000000
χ462222-12-2-222-2-222-12-1-122-1-1-1-1-1-2-22-1-1-1221111-1-1-1-11111-2-2-2-222-1-1-1-1-2-2-2-211111111-22-21111-1-1-1-1111100000022-2-222-1-1-1-11111-1-1-1-100000000000000
χ472222-12-2-222-2-2-2-2-12-1-1221111-122-2-1-1-1-2-211-1-1-1-11111-1-1-2-2-2-222111100003333−3−3−3−32-2211-1-1-1-11111-1-1000000000000−3−33333−3−3−3−33300000000000000
χ482222-12-2-222-2-2-2-2-12-1-1221111-122-2-1-1-1-2-211-1-1-1-11111-1-1-2-2-2-22211110000−3−3−3−333332-2211-1-1-1-11111-1-100000000000033−3−3−3−33333−3−300000000000000
χ492222-12-2-2-2-22222-12-1-122-1-1-1-1-12-2-2-1-1-12211111111-1-1-1-122-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-2211111111-1-1-1-1000000-2-2-2-22211111111-1-1-1-100000000000000
χ502222-12-2-2-2-22222-12-1-122-1-1-1-1-12-2-2-1-1-12211111111-1-1-1-122-2-2-2-2-1-1-1-1-2-2-2-211111111-2-2211111111-1-1-1-10000002222-2-2-1-1-1-1-1-1-1-1111100000000000000
χ512222-12-2-2-2-222-2-2-12-1-1221111-1-222-1-1-1-2-211-1-111-1-1-1-11122-2-2-2-2111100003333−3−3−3−322-211-1-111-1-1-1-111000000000000−3−333−3−33333−3−300000000000000
χ522222-12-2-2-2-222-2-2-12-1-1221111-1-222-1-1-1-2-211-1-111-1-1-1-11122-2-2-2-211110000−3−3−3−3333322-211-1-111-1-1-1-11100000000000033−3−333−3−3−3−33300000000000000
χ532-22-2222i−2i2i−2i2-200-2-22-22-200002000-22-2002i−2i002i−2i002-2002-22i−2i2i−2i000022−2−222−2−222−2−20002i−2i002i−2i002-200000000−i2i2−i2i22−2−i2i2−i2i2−i2i2−i2i22−22−200000000000000
χ542-22-2222i−2i2i−2i2-200-2-22-22-200002000-22-2002i−2i002i−2i002-2002-22i−2i2i−2i0000−2−222−2−222−2−2220002i−2i002i−2i002-200000000i2−i2i2−i2−22i2−i2i2−i2i2−i2i2−i2−22−2200000000000000
χ552-22-2222i−2i−2i2i-2200-2-22-22-200002000-22-2002i−2i00−2i2i00-2200-222i−2i−2i2i000022−2−222−2−222−2−20002i−2i00−2i2i00-2200000000−i2i2i2−i2−22−i2i2−i2i2i2−i2i2−i2−22−2200000000000000
χ562-22-2222i−2i−2i2i-2200-2-22-22-200002000-22-2002i−2i00−2i2i00-2200-222i−2i−2i2i0000−2−222−2−222−2−2220002i−2i00−2i2i00-2200000000i2−i2−i2i22−2i2−i2i2−i2−i2i2−i2i22−22−200000000000000
χ572-22-222−2i2i2i−2i-2200-2-22-22-200002000-22-200−2i2i002i−2i00-2200-22−2i2i2i−2i000022−2−222−2−222−2−2000−2i2i002i−2i00-2200000000i2−i2−i2i2−22i2−i2i2−i2−i2i2−i2i2−22−2200000000000000
χ582-22-222−2i2i2i−2i-2200-2-22-22-200002000-22-200−2i2i002i−2i00-2200-22−2i2i2i−2i0000−2−222−2−222−2−222000−2i2i002i−2i00-2200000000−i2i2i2−i22−2−i2i2−i2i2i2−i2i2−i22−22−200000000000000
χ592-22-222−2i2i−2i2i2-200-2-22-22-200002000-22-200−2i2i00−2i2i002-2002-2−2i2i−2i2i000022−2−222−2−222−2−2000−2i2i00−2i2i002-200000000i2−i2i2−i22−2i2−i2i2−i2i2−i2i2−i22−22−200000000000000
χ602-22-222−2i2i−2i2i2-200-2-22-22-200002000-22-200−2i2i00−2i2i002-2002-2−2i2i−2i2i0000−2−222−2−222−2−222000−2i2i00−2i2i002-200000000−i2i2−i2i2−22−i2i2−i2i2−i2i2−i2i2−22−2200000000000000
χ612-22-2-122i−2i2i−2i2-2001-2-112-23−33−3-10001-1100−ii−i3i3−ii−i3i3-113−32-22i−2i2i−2i33−3−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000−ii−i3i3−ii−i3i3-113−3000000−i2i2−i2i22−2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ622-22-2-122i−2i2i−2i2-2001-2-112-23−33−3-10001-1100−ii−i3i3−ii−i3i3-113−32-22i−2i2i−2i33−3−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23000−ii−i3i3−ii−i3i3-113−3000000i2−i2i2−i2−22−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ632-22-2-122i−2i2i−2i2-2001-2-112-2−33−33-10001-1100−iii3−i3−iii3−i3-11−332-22i−2i2i−2i−3−33322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000−iii3−i3−iii3−i3-11−33000000−i2i2−i2i22−2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.