Finite Group Databasebeta

← Group #11866202

Character table — Group #11866202

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1222223344446666661212121234444666666612121212121212121212661212121212121212121212121212121212128888242424242424242422246666668812122424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-11111
χ811111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1
χ91111-1-1111-1-111111111111111-1-1-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-111-1-1111-1-1-111-1-111-1-111-1-1
χ101111-1-1111-1-111111111111111-1-1-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-11-11111-1-1-1-111-1-111
χ111111-1-1111-1-111111111111111-1-1-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-11-111-1-111-11-1-1-1-111-1-111-1-111
χ121111-1-1111-1-111111111111111-1-1-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-1-1-1111-1-11111-1-111-1-1
χ131111-1-1111-1-1111111111111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-1111-1-1-1-1-1111-1-11111-1-1-1-111
χ141111-1-1111-1-1111111111111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-11111-11-1-1-1-111-1-11111-1-1
χ151111-1-1111-1-1111111111111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1111-1-1-1-11-11111-1-1-1-11111-1-1
χ161111-1-1111-1-1111111111111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-111111-1-1-111-1-111-1-1-1-111
χ1722222222-2-2-2-2222222-2-2-2-222-22-22222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-222-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-22-22-222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-222-2-22200000000000000000000000000000000000000
χ192222222-12222222-1-1-12222-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-1-1-100-1-1000000000000
χ202222222-12222222-1-1-12222-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-21111110011000000000000
χ212222222-12222222-1-1-12222-1-2-2-2-222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-21-21-21-21-1-11111111100000000000022-2-2-1-1-1-1110011000000000000
χ222222222-12222222-1-1-12222-1-2-2-2-222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-21-21-21-21-1-111111111000000000000-2-2221111-1-100-1-1000000000000
χ232222222-1-2-2-2-2222-1-1-1-2-2-2-2-12-22-222-1-1-1-1-1-2-211111111-1-12-1-212-1-2111-1-111-1-1110000000000000000−i3i3−i3i3−i3i300−i3i3000000000000
χ242222222-1-2-2-2-2222-1-1-1-2-2-2-2-12-22-222-1-1-1-1-1-2-211111111-1-12-1-212-1-2111-1-111-1-1110000000000000000i3−i3i3−i3i3−i300i3−i3000000000000
χ252222222-1-2-2-2-2222-1-1-1-2-2-2-2-1-22-2222-1-1-1-1-1-2-211111111-1-1-212-1-212-11111-1-111-1-10000000000000000−i3i3−i3i3i3−i300i3−i3000000000000
χ262222222-1-2-2-2-2222-1-1-1-2-2-2-2-1-22-2222-1-1-1-1-1-2-211111111-1-1-212-1-212-11111-1-111-1-10000000000000000i3−i3i3−i3−i3i300−i3i3000000000000
χ27222222-122222-1-1-1222-1-1-1-1-12222-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002200-1-1-1-100000000
χ28222222-122222-1-1-1222-1-1-1-1-12222-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000-2-200111100000000
χ29222222-122222-1-1-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-12222-1-1-1-1-1-11-21-21-21-2-1-1111111112222-1-1-1-1-1-1-1-10000000000-2-200111100000000
χ30222222-122222-1-1-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-12222-1-1-1-1-1-11-21-21-21-2-1-111111111-2-2-2-21111111100000000002200-1-1-1-100000000
χ31222222-12-2-2-2-2-1-1-12221111-12-22-2-1-122-1-1-111-2-2-2-21111-1-1-121-2-121-211-1-111-1-111000033−3−333−3−3000000000000003−33−300000000
χ32222222-12-2-2-2-2-1-1-12221111-12-22-2-1-122-1-1-111-2-2-2-21111-1-1-121-2-121-211-1-111-1-1110000−3−333−3−33300000000000000−33−3300000000
χ33222222-12-2-2-2-2-1-1-12221111-1-22-22-1-122-1-1-111-2-2-2-21111-1-11-2-121-2-121111-1-111-1-1000033−3−333−3−300000000000000−33−3300000000
χ34222222-12-2-2-2-2-1-1-12221111-1-22-22-1-122-1-1-111-2-2-2-21111-1-11-2-121-2-121111-1-111-1-10000−3−333−3−333000000000000003−33−300000000
χ352222-2-222-222-2222222-2-2-2-222-2-22-2-2-2-222222-2-222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22200000000000000000000000000000000000000
χ362222-2-222-222-2222222-2-2-2-22-222-2-2-2-2-222222-2-222-2-2-2-2-2-2-2-22222-2-222-2-22222-2-200000000000000000000000000000000000000
χ372222-2-22-12-2-22222-1-1-12222-122-2-2-2-211-1-1-1-2-2-1-111-1-1-1-1112-12-1-21-2111-1-1-1-111110000000000002-22-2-1-111-1-10011000000000000
χ382222-2-22-12-2-22222-1-1-12222-122-2-2-2-211-1-1-1-2-2-1-111-1-1-1-1112-12-1-21-2111-1-1-1-11111000000000000-22-2211-1-11100-1-1000000000000
χ392222-2-22-12-2-22222-1-1-12222-1-2-222-2-211-1-1-1-2-2-1-111-1-1-1-111-21-212-12-1111111-1-1-1-10000000000002-2-22-1-1111100-1-1000000000000
χ402222-2-22-12-2-22222-1-1-12222-1-2-222-2-211-1-1-1-2-2-1-111-1-1-1-111-21-212-12-1111111-1-1-1-1000000000000-222-211-1-1-1-10011000000000000
χ412222-2-22-1-222-2222-1-1-1-2-2-2-2-12-2-22-2-211-1-1-12211-1-11111112-1-21-212-1-1-1-1-11111-1-10000000000000000−i3i3i3−i3−i3i300i3−i3000000000000
χ422222-2-22-1-222-2222-1-1-1-2-2-2-2-12-2-22-2-211-1-1-12211-1-11111112-1-21-212-1-1-1-1-11111-1-10000000000000000i3−i3−i3i3i3−i300−i3i3000000000000
χ432222-2-22-1-222-2222-1-1-1-2-2-2-2-1-222-2-2-211-1-1-12211-1-1111111-212-12-1-21-1-111-1-1-1-1110000000000000000−i3i3i3−i3i3−i300−i3i3000000000000
χ442222-2-22-1-222-2222-1-1-1-2-2-2-2-1-222-2-2-211-1-1-12211-1-1111111-212-12-1-21-1-111-1-1-1-1110000000000000000i3−i3−i3i3−i3i300i3−i3000000000000
χ452222-2-2-122-2-22-1-1-1222-1-1-1-1-122-2-211-2-2-1-1-11122-2-2-1-1-1-111-12-121-21-211-1-1-1-1111122-2-2-1-1-1-1111100000000002-200-1-11100000000
χ462222-2-2-122-2-22-1-1-1222-1-1-1-1-122-2-211-2-2-1-1-11122-2-2-1-1-1-111-12-121-21-211-1-1-1-11111-2-2221111-1-1-1-10000000000-220011-1-100000000
χ472222-2-2-122-2-22-1-1-1222-1-1-1-1-1-2-22211-2-2-1-1-11122-2-2-1-1-1-1111-21-2-12-12111111-1-1-1-122-2-2-1-1-1-111110000000000-220011-1-100000000
χ482222-2-2-122-2-22-1-1-1222-1-1-1-1-1-2-22211-2-2-1-1-11122-2-2-1-1-1-1111-21-2-12-12111111-1-1-1-1-2-2221111-1-1-1-100000000002-200-1-11100000000
χ492222-2-2-12-222-2-1-1-12221111-12-2-2211-2-2-1-1-1-1-1-2-222111111-121-21-2-12-1-1-1-11111-1-1000033−3−3−3−333000000000000003−3−3300000000
χ502222-2-2-12-222-2-1-1-12221111-12-2-2211-2-2-1-1-1-1-1-2-222111111-121-21-2-12-1-1-1-11111-1-10000−3−33333−3−300000000000000−333−300000000
χ512222-2-2-12-222-2-1-1-12221111-1-222-211-2-2-1-1-1-1-1-2-2221111111-2-12-121-2-1-111-1-1-1-111000033−3−3−3−33300000000000000−333−300000000
χ522222-2-2-12-222-2-1-1-12221111-1-222-211-2-2-1-1-1-1-1-2-2221111111-2-12-121-2-1-111-1-1-1-1110000−3−33333−3−3000000000000003−3−3300000000
χ5322-2-22-22222-2-22-2-2-2-2222-2-2200002-22-22-2-22-22-22-222-2-22-2000000002-20000000000000000000000000000000000000000002i−2i2i−2i
χ5422-2-22-22222-2-22-2-2-2-2222-2-2200002-22-22-2-22-22-22-222-2-22-2000000002-2000000000000000000000000000000000000000000−2i2i−2i2i
χ5522-2-22-222-2-2222-2-2-2-22-2-222200002-22-22-2-2-22-22-22-2-2222-200000000-22000000000000000000000000000000000000002-22-20000
χ5622-2-22-222-2-2222-2-2-2-22-2-222200002-22-22-2-2-22-22-22-2-2222-200000000-2200000000000000000000000000000000000000-22-220000
χ5722-2-2-22222-22-22-2-2-2-2222-2-220000-22-222-2-2-222-2-2222-2-2-2200000000-220000000000000000000000000000000000000000002i−2i−2i2i
χ5822-2-2-22222-22-22-2-2-2-2222-2-220000-22-222-2-2-222-2-2222-2-2-2200000000-22000000000000000000000000000000000000000000−2i2i2i−2i
χ5922-2-2-2222-22-222-2-2-2-22-2-22220000-22-222-2-22-2-222-2-2-222-22000000002-2000000000000000000000000000000000000002-2-220000
χ6022-2-2-2222-22-222-2-2-2-22-2-22220000-22-222-2-22-2-222-2-2-222-22000000002-200000000000000000000000000000000000000-222-20000
χ61444444-2-24444-2-2-2-2-2-2-2-2-2-214444-2-2-2-2111-2-2-2-2-2-2111111-2-2-2-2-2-2-2-2111111111100000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2111-2-2-2-2-2-21111112222222211-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-2222214-44-4-2-2-2-2111222222-1-1-1-111-2-222-2-222-1-111-1-111-1-100000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-222221-44-44-2-2-2-2111222222-1-1-1-11122-2-222-2-2-1-1-1-111-1-11100000000000000000000000000000000000000
χ654444-4-4-2-24-4-44-2-2-2-2-2-2-2-2-2-2144-4-4222211122-2-2221111-1-1-2-2-2-22222-1-11111-1-1-1-100000000000000000000000000000000000000
χ664444-4-4-2-24-4-44-2-2-2-2-2-2-2-2-2-21-4-444222211122-2-2221111-1-12222-2-2-2-2-1-1-1-1-1-1111100000000000000000000000000000000000000
χ674444-4-4-2-2-444-4-2-2-2-2-2-2222214-4-442222111-2-222-2-2-1-1-1-1-1-1-2-22222-2-21111-1-1-1-11100000000000000000000000000000000000000
χ684444-4-4-2-2-444-4-2-2-2-2-2-222221-444-42222111-2-222-2-2-1-1-1-1-1-122-2-2-2-22211-1-11111-1-100000000000000000000000000000000000000
χ6944-4-44-44-244-4-44-4-422-244-4-4-200004-4-22-2224-4-22-22-2-222-2200000000-220000000000000000000000000000000000000000000000
χ7044-4-44-44-2-4-4444-4-422-2-4-444-200004-4-22-222-442-22-222-2-2-22000000002-20000000000000000000000000000000000000000000000
χ7144-4-44-4-2444-4-4-222-4-44-2-222-20000-224-4-222-224-44-4-2-222-2200000000-220000000000000000000000000000000000000000000000
χ7244-4-44-4-24-4-444-222-4-4422-2-2-20000-224-4-2222-2-44-4422-2-2-22000000002-20000000000000000000000000000000000000000000000
χ7344-4-44-4-2-244-4-4-22222-2-2-22210000-22-221-1-1-22-22-2211-1-11-1000000001-13i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000000000
χ7444-4-44-4-2-244-4-4-22222-2-2-22210000-22-221-1-1-22-22-2211-1-11-1000000001-1−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000000000
χ7544-4-44-4-2-2-4-444-22222-222-2-210000-22-221-1-12-22-22-2-1-1111-100000000-113i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000
χ7644-4-44-4-2-2-4-444-22222-222-2-210000-22-221-1-12-22-22-2-1-1111-100000000-11−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000
χ7744-4-4-444-24-44-44-4-422-244-4-4-20000-442-2-222-44-222-2-2-2222-2000000002-20000000000000000000000000000000000000000000000
χ7844-4-4-444-2-44-444-4-422-2-4-444-20000-442-2-2224-42-2-2222-2-22-200000000-220000000000000000000000000000000000000000000000
χ7944-4-4-44-244-44-4-222-4-44-2-222-200002-2-44-2222-24-4-44-2-2222-2000000002-20000000000000000000000000000000000000000000000
χ8044-4-4-44-24-44-44-222-4-4422-2-2-200002-2-44-222-22-444-422-2-22-200000000-220000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4-22222-2-2-222100002-22-21-1-12-2-222-211-1-1-1100000000-113i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4-22222-2-2-222100002-22-21-1-12-2-222-211-1-1-1100000000-11−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44-22222-222-2-2100002-22-21-1-1-222-2-22-1-111-11000000001-13i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44-22222-222-2-2100002-22-21-1-1-222-2-22-1-111-11000000001-1−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ854-44-400440000-44-44-4-40000400000000-44-40000000000000000000000000000000022−22000022−2222−2200000000000000000000000000
χ864-44-400440000-44-44-4-40000400000000-44-400000000000000000000000000000000−22220000−2222−222200000000000000000000000000
χ874-44-400-2400002-224-4-423−2323−23-2000000002-2200000023−2323−23000000000000000000000022−2200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000
χ884-44-400-2400002-224-4-423−2323−23-2000000002-2200000023−2323−230000000000000000000000−22220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000
χ894-44-400-2400002-224-4-4−2323−2323-2000000002-22000000−2323−2323000000000000000000000022−2200002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000
χ904-44-400-2400002-224-4-4−2323−2323-2000000002-22000000−2323−23230000000000000000000000−22220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000
χ914-4-4400440000-4-44-44-40000400000000-4-4400000000000000000000000000000022−220022−2222−22000000000000000000000000000000
χ924-4-4400440000-4-44-44-40000400000000-4-44000000000000000000000000000000−222200−2222−2222000000000000000000000000000000
χ934-4-4400-24000022-2-44-423−23−2323-20000000022-200000023−23−23230000000000000000000022−22002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000000000000000000000000000
χ944-4-4400-24000022-2-44-423−23−2323-20000000022-200000023−23−232300000000000000000000−222200−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000000000000000000000000000
χ954-4-4400-24000022-2-44-4−232323−23-20000000022-2000000−232323−230000000000000000000022−22002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000000000
χ964-4-4400-24000022-2-44-4−232323−23-20000000022-2000000−232323−2300000000000000000000−222200−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000000000
χ978-88-8008-40000-88-8-4440000-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-400004-44-44443−4343−43200000000-22-2000000−2323−23230000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-400004-44-444−4343−4343200000000-22-200000023−2323−230000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-8-884-440000-40000000044-400000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-4000044-44-4443−43−4343200000000-2-22000000−232323−230000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044-44-44−434343−43200000000-2-2200000023−23−23230000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.