Finite Group Databasebeta

← Group #11887410

Character table — Group #11887410

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444488888888888888888812121212121212121212121218181818242424242424242424242424242424242424363636363636
order1222223344444466666623446666666121212121212121212121212121212126666661212121212121212121212122244666612121212888822444466661212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-1-1-111111111-11-11111111111-1-1-1-111-1-1-1-11111-1-111-1-1-11-11-1-1-1-111-1-111111111111111111-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-1
χ611111111-1-1-1-111111111-11-11111111111-1-1-1-111-1-1-1-11111-1-111-1-1-11-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-11111-1-111-1-1-1-111-1-111
χ711111111-1-1-1-111111111-11-11111111111-1-1-1-111-1-1-1-11111-1-111-1-1-11-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-111
χ811111111-1-1-1-111111111-11-11111111111-1-1-1-111-1-1-1-11111-1-111-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-111-1-1111111-1-1-1-111-1-1
χ91111-1-11111-1-11111111111-1-1-1-1-1-11111111-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ101111-1-11111-1-11111111111-1-1-1-1-1-11111111-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1-1-111111111-1-1
χ111111-1-11111-1-11111111111-1-1-1-1-1-11111111-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-11-11-1-1-1111111-1-1-1-11111-1-1
χ121111-1-11111-1-11111111111-1-1-1-1-1-11111111-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-111
χ131111-1-111-1-11111111111-111-1-1-1-1-111111-1-11111-1-1111111-1-1-1-1-1-11-11-11111-1-1-1-11111111111111111-11-1-11-111-1-111-1-1-1-1-1-111-1-1-1-1
χ141111-1-111-1-11111111111-111-1-1-1-1-111111-1-11111-1-1111111-1-1-1-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-111-1-11111
χ151111-1-111-1-11111111111-111-1-1-1-1-111111-1-11111-1-1111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-11-1-11111-1-1-1-111-1-1-1-11111
χ161111-1-111-1-11111111111-111-1-1-1-1-111111-1-11111-1-1111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-11-1-111-1-111111111-1-1-1-1
χ17222222222222-2-2222222-22-2-22222222-2-22222-2-22222-2-2-2-2-2-222-2-2-2-2-2-222-2-2-2-2220000000000000000000000000000000000000000
χ1822222222-2-2-2-2-2-2222222222-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222-22-2-2-222-2-2-2-20000000000000000000000000000000000000000
χ192222222-1222222-122-1-122-12222-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12200-1-1-1-10000000020022000-1-1-1-100-1-100000000
χ202222222-1222222-122-1-122-12222-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-200111100000000-200-2-20001111001100000000
χ212222222-12222-2-2-122-1-12-2-1-2-222-1-1-1-1-1-2-222-1-111-1-1221111-21-1-1111-2-21-1-11111-1-10000−i3−i3i3i30000000000000000−i3i3−i3i300−i3i300000000
χ222222222-12222-2-2-122-1-12-2-1-2-222-1-1-1-1-1-2-222-1-111-1-1221111-21-1-1111-2-21-1-11111-1-10000i3i3−i3−i30000000000000000i3−i3i3−i300i3−i300000000
χ232222222-1-2-2-2-222-122-1-12-2-1-2222-1-1-1-1-122-2-211-1-111-2-2-1-1-1-1-21-1-11112-2-11111-1-1112200-1-1-1-100000000200-2-2000-1-111001100000000
χ242222222-1-2-2-2-222-122-1-12-2-1-2222-1-1-1-1-122-2-211-1-111-2-2-1-1-1-1-21-1-11112-2-11111-1-111-2-200111100000000-2002200011-1-100-1-100000000
χ252222222-1-2-2-2-2-2-2-122-1-122-12-222-1-1-1-1-1-2-2-2-2111111-2-211112-1-1-1-1-1-1-22111-1-111110000−i3−i3i3i30000000000000000−i3i3i3−i300i3−i300000000
χ262222222-1-2-2-2-2-2-2-122-1-122-12-222-1-1-1-1-1-2-2-2-2111111-2-211112-1-1-1-1-1-1-22111-1-111110000i3i3−i3−i30000000000000000i3−i3−i3i300−i3i300000000
χ27222222-122222222-1-122-12-122-1-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-12-1-1-1-12-1-12-1-1-1-1-1-1-1-100220000-1-1-1-10000022002-1-10000-1-100-1-1000000
χ28222222-122222222-1-122-12-122-1-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-12-1-1-1-12-1-12-1-1-1-1-1-1-1-100-2-20000111100000-2-200-2110000110011000000
χ29222222-122222-2-22-1-122-1-2-1-2-2-1-122-1-1-111-1-122-2-222-1-111111-2-1-111-211-2-1-11111-1-100000000−i3−i3i3i30000000000−i3i30000−i3i300−i3i3000000
χ30222222-122222-2-22-1-122-1-2-1-2-2-1-122-1-1-111-1-122-2-222-1-111111-2-1-111-211-2-1-11111-1-100000000i3i3−i3−i30000000000i3−i30000i3−i300i3−i3000000
χ31222222-12-2-2-2-2222-1-122-1-2-1-22-1-122-1-1-1-1-111-2-222-2-211-1-1-1-11-2-1-111-2-1121111-1-11100220000-1-1-1-100000-2-20021100001100-1-1000000
χ32222222-12-2-2-2-2222-1-122-1-2-1-22-1-122-1-1-1-1-111-2-222-2-211-1-1-1-11-2-1-111-2-1121111-1-11100-2-200001111000002200-2-1-10000-1-10011000000
χ33222222-12-2-2-2-2-2-22-1-122-12-12-2-1-122-1-1-11111-2-2-2-2-2-2111111-12-1-1-1-121-1-211-1-1111100000000−i3−i3i3i30000000000i3−i30000i3−i300−i3i3000000
χ34222222-12-2-2-2-2-2-22-1-122-12-12-2-1-122-1-1-11111-2-2-2-2-2-2111111-12-1-1-1-121-1-211-1-1111100000000i3i3−i3−i30000000000−i3i30000−i3i300i3−i3000000
χ352222-2-22222-2-2-2-2222222-2222-2-2-2-2222-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222220000000000000000000000000000000000000000
χ362222-2-222-2-222-2-222222222-22-2-2-2-2222-2-2-2-222-2-2-2-222-2-2-2-222-2-222-22-2222-2-222-2-20000000000000000000000000000000000000000
χ372222-2-22-122-2-222-122-1-122-1-2-2-2-211-1-1-1222211-1-1-1-1-2-2-1-1-1-12-111-1-11-2-21111111-1-12200-1-1-1-100000000-2002-2000111100-1-100000000
χ382222-2-22-122-2-222-122-1-122-1-2-2-2-211-1-1-1222211-1-1-1-1-2-2-1-1-1-12-111-1-11-2-21111111-1-1-2-200111100000000200-22000-1-1-1-1001100000000
χ392222-2-22-122-2-2-2-2-122-1-12-2-122-2-211-1-1-1-2-2221111-1-1-2-21111-211111-122-111-1-1-1-1-1-10000−i3−i3i3i30000000000000000i3−i3i3−i300−i3i300000000
χ402222-2-22-122-2-2-2-2-122-1-12-2-122-2-211-1-1-1-2-2221111-1-1-2-21111-211111-122-111-1-1-1-1-1-10000i3i3−i3−i30000000000000000−i3i3−i3i300i3−i300000000
χ412222-2-22-1-2-22222-122-1-12-2-12-2-2-211-1-1-122-2-2-1-1-1-11122-1-1-1-1-211111-1-221-1-1-1-111112200-1-1-1-100000000-200-2200011-1-1001100000000
χ422222-2-22-1-2-22222-122-1-12-2-12-2-2-211-1-1-122-2-2-1-1-1-11122-1-1-1-1-211111-1-221-1-1-1-11111-2-2001111000000002002-2000-1-11100-1-100000000
χ432222-2-22-1-2-222-2-2-122-1-122-1-22-2-211-1-1-1-2-2-2-2-1-111112211112-111-1-112-2-1-1-111-1-1110000−i3−i3i3i30000000000000000i3−i3−i3i300i3−i300000000
χ442222-2-22-1-2-222-2-2-122-1-122-1-22-2-211-1-1-1-2-2-2-2-1-111112211112-111-1-112-2-1-1-111-1-1110000i3i3−i3−i30000000000000000−i3i3i3−i300−i3i300000000
χ452222-2-2-1222-2-2222-1-122-12-1-2-211-2-2-1-1-1-1-1-1-1-2-2222211-1-1-1-1-1211-1-1-211-2111111-1-100220000-1-1-1-100000-2200-2110000-1-10011000000
χ462222-2-2-1222-2-2222-1-122-12-1-2-211-2-2-1-1-1-1-1-1-1-2-2222211-1-1-1-1-1211-1-1-211-2111111-1-100-2-200001111000002-2002-1-100001100-1-1000000
χ472222-2-2-1222-2-2-2-22-1-122-1-2-12211-2-2-1-1-111-1-1-2-2-2-2221111111-211112-1-1211-1-1-1-1-1-100000000−i3−i3i3i30000000000i3−i30000−i3i300i3−i3000000
χ482222-2-2-1222-2-2-2-22-1-122-1-2-12211-2-2-1-1-111-1-1-2-2-2-2221111111-211112-1-1211-1-1-1-1-1-100000000i3i3−i3−i30000000000−i3i30000i3−i300−i3i3000000
χ492222-2-2-12-2-222222-1-122-1-2-12-211-2-2-1-1-1-1-1112222-2-2-1-1-1-1-1-11-2111121-1-2-1-1-1-1111100220000-1-1-1-1000002-200-2-1-10000110011000000
χ502222-2-2-12-2-222222-1-122-1-2-12-211-2-2-1-1-1-1-1112222-2-2-1-1-1-1-1-11-2111121-1-2-1-1-1-1111100-2-20000111100000-22002110000-1-100-1-1000000
χ512222-2-2-12-2-222-2-22-1-122-12-1-2211-2-2-1-1-1111122-2-2-2-2-1-11111-1211-1-1-2-112-1-111-1-11100000000−i3−i3i3i30000000000−i3i30000i3−i300i3−i3000000
χ522222-2-2-12-2-222-2-22-1-122-12-1-2211-2-2-1-1-1111122-2-2-2-2-1-11111-1211-1-1-2-112-1-111-1-11100000000i3i3−i3−i30000000000i3−i30000−i3i300−i3i3000000
χ5322-2-22-2222i−2i2i−2i002-22-2-2-202002-22-22-2-2002i−2i2i−2i002i−2i2i−2i0000002-20000002i−2i00002i−2i000000000000−i2−i2i2i20000000000000000002−2−i2i22−2
χ5422-2-22-2222i−2i2i−2i002-22-2-2-202002-22-22-2-2002i−2i2i−2i002i−2i2i−2i0000002-20000002i−2i00002i−2i000000000000i2i2−i2−i2000000000000000000−22i2−i2−22
χ5522-2-22-222−2i2i−2i2i002-22-2-2-202002-22-22-2-200−2i2i−2i2i00−2i2i−2i2i0000002-2000000−2i2i0000−2i2i000000000000−i2−i2i2i2000000000000000000−22−i2i2−22
χ5622-2-22-222−2i2i−2i2i002-22-2-2-202002-22-22-2-200−2i2i−2i2i00−2i2i−2i2i0000002-2000000−2i2i0000−2i2i000000000000i2i2−i2−i20000000000000000002−2i2−i22−2
χ5722-2-2-22222i−2i−2i2i002-22-2-2-20200-22-222-2-2002i−2i−2i2i002i−2i−2i2i000000-22000000−2i2i00002i−2i000000000000−i2−i2i2i2000000000000000000−22i2−i22−2
χ5822-2-2-22222i−2i−2i2i002-22-2-2-20200-22-222-2-2002i−2i−2i2i002i−2i−2i2i000000-22000000−2i2i00002i−2i000000000000i2i2−i2−i20000000000000000002−2−i2i2−22
χ5922-2-2-2222−2i2i2i−2i002-22-2-2-20200-22-222-2-200−2i2i2i−2i00−2i2i2i−2i000000-220000002i−2i0000−2i2i000000000000−i2−i2i2i20000000000000000002−2i2−i2−22
χ6022-2-2-2222−2i2i2i−2i002-22-2-2-20200-22-222-2-200−2i2i2i−2i00−2i2i2i−2i000000-220000002i−2i0000−2i2i000000000000i2i2−i2−i2000000000000000000−22−i2i22−2
χ612-22-2002200002-2-22-2-22-202000000-2-222-200002-2000022-2-20000000000000000002-22i−2i2-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ622-22-2002200002-2-22-2-22-202000000-2-222-200002-2000022-2-20000000000000000002-2−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ632-22-2002200002-2-22-2-22-202000000-2-222-200002-2000022-2-2000000000000000000-222i−2i-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ642-22-2002200002-2-22-2-22-202000000-2-222-200002-2000022-2-2000000000000000000-22−2i2i-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ65444444-2-2444444-2-2-2-2-2-24144-2-2-2-2111-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111-2-2-2-2111111110000000000000000000000000000000000000000
χ66444444-2-24444-4-4-2-2-2-2-2-2-41-4-4-2-2-2-211122-2-2-2-222-2-2-2-2-1-1-1-12211-1-1222211-1-1-1-1110000000000000000000000000000000000000000
χ67444444-2-2-4-4-4-444-2-2-2-2-2-2-41-44-2-2-2-2111-2-22222-2-2222211112211-1-12-22-2-1-1-1-111-1-10000000000000000000000000000000000000000
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χ694444-4-4-2-244-4-444-2-2-2-2-2-241-4-42222111-2-2-2-222-2-2-2-2221111-2-2-1-1112222-1-1-1-1-1-1110000000000000000000000000000000000000000
χ704444-4-4-2-244-4-4-4-4-2-2-2-2-2-2-4144222211122-2-22222-2-222-1-1-1-122-1-1-1-1-2-2-2-2-1-11111110000000000000000000000000000000000000000
χ714444-4-4-2-2-4-44444-2-2-2-2-2-2-414-42222111-2-222-2-2-2-222-2-2111122-1-1-1-1-22-221111-1-1-1-10000000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-4-4-2-2-2-2-2-241-4422221112222-2-22222-2-2-1-1-1-1-2-2-1-1112-22-211-1-111-1-10000000000000000000000000000000000000000
χ7344-4-44-44-24i−4i4i−4i00-2-4422-40-2004-4-22-222004i−4i−2i2i00−2i2i4i−4i000000-22000000−2i2i0000−2i2i0000000000000000000000000000000000000000
χ7444-4-44-44-2−4i4i−4i4i00-2-4422-40-2004-4-22-22200−4i4i2i−2i002i−2i−4i4i000000-220000002i−2i00002i−2i0000000000000000000000000000000000000000
χ7544-4-44-4-244i−4i4i−4i0042-2-4-420-200-224-4-22200−2i2i4i−4i004i−4i−2i2i000000-22000000−2i2i0000−2i2i0000000000000000000000000000000000000000
χ7644-4-44-4-24−4i4i−4i4i0042-2-4-420-200-224-4-222002i−2i−4i4i00−4i4i2i−2i000000-220000002i−2i00002i−2i0000000000000000000000000000000000000000
χ7744-4-44-4-2-24i−4i4i−4i00-22-22220100-22-221-1-100−2i2i−2i2i00−2i2i−2i2i3i−3i3i−3i001-13-30000i−i3-33i−3ii−i0000000000000000000000000000000000000000
χ7844-4-44-4-2-24i−4i4i−4i00-22-22220100-22-221-1-100−2i2i−2i2i00−2i2i−2i2i−3i3i−3i3i001-1-330000i−i-33−3i3ii−i0000000000000000000000000000000000000000
χ7944-4-44-4-2-2−4i4i−4i4i00-22-22220100-22-221-1-1002i−2i2i−2i002i−2i2i−2i3i−3i3i−3i001-1-330000−ii-333i−3i−ii0000000000000000000000000000000000000000
χ8044-4-44-4-2-2−4i4i−4i4i00-22-22220100-22-221-1-1002i−2i2i−2i002i−2i2i−2i−3i3i−3i3i001-13-30000−ii3-3−3i3i−ii0000000000000000000000000000000000000000
χ8144-4-4-444-24i−4i−4i4i00-2-4422-40-200-442-2-222004i−4i2i−2i00−2i2i−4i4i0000002-20000002i−2i0000−2i2i0000000000000000000000000000000000000000
χ8244-4-4-444-2−4i4i4i−4i00-2-4422-40-200-442-2-22200−4i4i−2i2i002i−2i4i−4i0000002-2000000−2i2i00002i−2i0000000000000000000000000000000000000000
χ8344-4-4-44-244i−4i−4i4i0042-2-4-420-2002-2-44-22200−2i2i−4i4i004i−4i2i−2i0000002-20000002i−2i0000−2i2i0000000000000000000000000000000000000000
χ8444-4-4-44-24−4i4i4i−4i0042-2-4-420-2002-2-44-222002i−2i4i−4i00−4i4i−2i2i0000002-2000000−2i2i00002i−2i0000000000000000000000000000000000000000
χ8544-4-4-44-2-24i−4i−4i4i00-22-222201002-22-21-1-100−2i2i2i−2i00−2i2i2i−2i3i−3i3i−3i00-113-30000−ii-33−3i3ii−i0000000000000000000000000000000000000000
χ8644-4-4-44-2-24i−4i−4i4i00-22-222201002-22-21-1-100−2i2i2i−2i00−2i2i2i−2i−3i3i−3i3i00-11-330000−ii3-33i−3ii−i0000000000000000000000000000000000000000
χ8744-4-4-44-2-2−4i4i4i−4i00-22-222201002-22-21-1-1002i−2i−2i2i002i−2i−2i2i3i−3i3i−3i00-11-330000i−i3-3−3i3i−ii0000000000000000000000000000000000000000
χ8844-4-4-44-2-2−4i4i4i−4i00-22-222201002-22-21-1-1002i−2i−2i2i002i−2i−2i2i−3i3i−3i3i00-113-30000i−i-333i−3i−ii0000000000000000000000000000000000000000
χ894-44-400440000-44-44-4-44-404000000-4-44-440000-440000-4-4440000000000000000000000000000000000000000000000000000000000
χ904-44-4004-200004-424-42-2-40-200000022-24-40000-220000-2-2220000000000000000004-400-22-2200000000000000000000000000000000
χ914-44-4004-200004-424-42-2-40-200000022-24-40000-220000-2-222000000000000000000-44002-22-200000000000000000000000000000000
χ924-44-4004-20000-4424-42-2-40-200000022-2-4400002-2000022-2-20000000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ934-44-4004-20000-4424-42-2-40-200000022-2-4400002-2000022-2-200000000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ944-44-400-2400004-4-4-22-4420-200000022-2-2200004-40000-2-222000000000000000000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ954-44-400-2400004-4-4-22-4420-200000022-2-2200004-40000-2-22200000000000000000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ964-44-400-240000-44-4-22-4420-200000022-22-20000-44000022-2-20000000000000000000000000023−23−23230000000000000000000000000000
χ974-44-400-240000-44-4-22-4420-200000022-22-20000-44000022-2-200000000000000000000000000−232323−230000000000000000000000000000
χ984-4-440044000000-4-4-44-4404000000-44-4000000000000000000000000000000000000000000000022−22−2222000000000000000000000000
χ994-4-440044000000-4-4-44-4404000000-44-40000000000000000000000000000000000000000000000−222222−22000000000000000000000000
χ1008-88-800-4-400008-84-444-4402000000-2-22-440000-44000022-2-20000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40000-884-444-4402000000-2-224-400004-40000-2-2220000000000000000000000000000000000000000000000000000000000
χ1028-8-88008-40000004-8-8-4480-40000004-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-8800-48000000-8448-8-40-40000004-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-8800-4-4000000444-44-402000000-22-20000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ1058-8-8800-4-4000000444-44-402000000-22-2000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).