Finite Group Databasebeta

← Group #11887256

Character table — Group #11887256

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444488888888888888888812121212121212121212121218181818242424242424242424242424242424242424363636363636
order122222334444446666662344666666612121212121212121212121212121212666666121212121212121212121212224466661212121288882444446612121212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-11-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-11-1-1-1-111-1-11111-1-1-1-1-1-1
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
χ511111111-1-1-1-111111111-11-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-111-1-1-1-1-111-1-111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111-1-1-1-111111111-11-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-11-1111-1-111-1-111-1-111-1-111
χ711111111-1-1-1-111111111-11-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111-11-1-1-111-1-111-1-11111-1-111
χ811111111-1-1-1-111111111-11-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111111111-1-1-1-111-1-1
χ91111-1-11111-1-111111111-111-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-11111111111111111-11-1-1-11-1-111-1-1-1-111-1-111-1-1-1-1
χ101111-1-11111-1-111111111-111-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111
χ111111-1-11111-1-111111111-111-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111
χ121111-1-11111-1-111111111-111-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111-111-1-11111-1-11111-1-1-1-1
χ131111-1-111-1-1111111111111-1-1-1-1-1-1111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ141111-1-111-1-1111111111111-1-1-1-1-1-1111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111111111-1-1
χ151111-1-111-1-1111111111111-1-1-1-1-1-1111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-11-1-1111111-1-1-1-1-1-11111-1-1
χ161111-1-111-1-1111111111111-1-1-1-1-1-1111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-1-1-11111-1-1-1-111
χ17222222222222-2-2222222-22-2-222222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-222-2-2-2-2220000000000000000000000000000000000000000
χ1822222222-2-2-2-2-2-2222222222-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222-2-22-2-222-2-2-2-20000000000000000000000000000000000000000
χ192222222-1222222-12-12-122-12222-1-1-1-1-122-1-122-1-122-1-1-1-1-1-12-1-1-1-1-1-12-12-1-1-1-1-1-1-1-12200-1-1-1-100000000220020-1-1-1-100-1-10000000000
χ202222222-1222222-12-12-122-12222-1-1-1-1-122-1-122-1-122-1-1-1-1-1-12-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-200111100000000-2-200-20111100110000000000
χ212222222-12222-2-2-12-12-12-2-1-2-222-1-1-1-1-122-1-1-2-21122-1-11111-21-1-1111-21-2-1-11111-1-10000−i3−i3i3i300000000000000−i3i3−i3i300−i3i30000000000
χ222222222-12222-2-2-12-12-12-2-1-2-222-1-1-1-1-122-1-1-2-21122-1-11111-21-1-1111-21-2-1-11111-1-10000i3i3−i3−i300000000000000i3−i3i3−i300i3−i30000000000
χ232222222-1-2-2-2-222-12-12-12-2-1-2222-1-1-1-1-1-2-21122-1-1-2-211-1-1-1-1-21-1-11112-1-21111-1-1112200-1-1-1-1000000002-200-20-1-11100110000000000
χ242222222-1-2-2-2-222-12-12-12-2-1-2222-1-1-1-1-1-2-21122-1-1-2-211-1-1-1-1-21-1-11112-1-21111-1-111-2-200111100000000-22002011-1-100-1-10000000000
χ252222222-1-2-2-2-2-2-2-12-12-122-12-222-1-1-1-1-1-2-211-2-211-2-21111112-1-1-1-1-1-1-21211-1-111110000−i3−i3i3i300000000000000−i3i3i3−i300i3−i30000000000
χ262222222-1-2-2-2-2-2-2-12-12-122-12-222-1-1-1-1-1-2-211-2-211-2-21111112-1-1-1-1-1-1-21211-1-111110000i3i3−i3−i300000000000000i3−i3−i3i300−i3i30000000000
χ27222222-122222222-12-12-12-122-1-122-1-1-1-1-122-1-122-1-122-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-100220000-1-1-1-100000022020000-1-100-1-1-1-1000000
χ28222222-122222222-12-12-12-122-1-122-1-1-1-1-122-1-122-1-122-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-100-2-200001111000000-2-20-2000011001111000000
χ29222222-122222-2-22-12-12-1-2-1-2-2-1-122-1-1-1-1-12211-2-2-1-12211111-2-1-111-21-21-1-11111-1-100000000−i3−i3i3i300000000000000−i3i300−i3i3−i3i3000000
χ30222222-122222-2-22-12-12-1-2-1-2-2-1-122-1-1-1-1-12211-2-2-1-12211111-2-1-111-21-21-1-11111-1-100000000i3i3−i3−i300000000000000i3−i300i3−i3i3−i3000000
χ31222222-12-2-2-2-2222-12-12-1-2-1-22-1-122-1-1-111-2-2-1-12211-2-2-1-1-1-11-2-1-111-2-1211111-1-11100220000-1-1-1-10000002-20-20000110011-1-1000000
χ32222222-12-2-2-2-2222-12-12-1-2-1-22-1-122-1-1-111-2-2-1-12211-2-2-1-1-1-11-2-1-111-2-1211111-1-11100-2-200001111000000-22020000-1-100-1-111000000
χ33222222-12-2-2-2-2-2-22-12-12-12-12-2-1-122-1-1-111-2-211-2-211-2-21111-12-1-1-1-121-2-111-1-1111100000000−i3−i3i3i300000000000000i3−i300i3−i3−i3i3000000
χ34222222-12-2-2-2-2-2-22-12-12-12-12-2-1-122-1-1-111-2-211-2-211-2-21111-12-1-1-1-121-2-111-1-1111100000000i3i3−i3−i300000000000000−i3i300−i3i3i3−i3000000
χ352222-2-22222-2-2-2-222222222-22-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-222-222-2-222-2-20000000000000000000000000000000000000000
χ362222-2-222-2-222-2-2222222-2222-2-2-2-2222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-22222220000000000000000000000000000000000000000
χ372222-2-22-122-2-222-12-12-12-2-12-2-2-211-1-1-122-1-122-1-1-2-211-1-1-1-1-211111-1-212-1-1-1-111112200-1-1-1-100000000-2200-2011-1-100110000000000
χ382222-2-22-122-2-222-12-12-12-2-12-2-2-211-1-1-122-1-122-1-1-2-211-1-1-1-1-211111-1-212-1-1-1-11111-2-2001111000000002-20020-1-11100-1-10000000000
χ392222-2-22-122-2-2-2-2-12-12-122-1-22-2-211-1-1-122-1-1-2-211-2-21111112-111-1-112-1-2-1-111-1-1110000−i3−i3i3i300000000000000i3−i3−i3i300i3−i30000000000
χ402222-2-22-122-2-2-2-2-12-12-122-1-22-2-211-1-1-122-1-1-2-211-2-21111112-111-1-112-1-2-1-111-1-1110000i3i3−i3−i300000000000000−i3i3i3−i300−i3i30000000000
χ412222-2-22-1-2-22222-12-12-122-1-2-2-2-211-1-1-1-2-21122-1-122-1-1-1-1-1-12-111-1-11-21-2111111-1-12200-1-1-1-100000000-2-20020111100-1-10000000000
χ422222-2-22-1-2-22222-12-12-122-1-2-2-2-211-1-1-1-2-21122-1-122-1-1-1-1-1-12-111-1-11-21-2111111-1-1-2-2001111000000002200-20-1-1-1-100110000000000
χ432222-2-22-1-2-222-2-2-12-12-12-2-122-2-211-1-1-1-2-211-2-21122-1-11111-211111-12-1211-1-1-1-1-1-10000−i3−i3i3i300000000000000i3−i3i3−i300−i3i30000000000
χ442222-2-22-1-2-222-2-2-12-12-12-2-122-2-211-1-1-1-2-211-2-21122-1-11111-211111-12-1211-1-1-1-1-1-10000i3i3−i3−i300000000000000−i3i3−i3i300i3−i30000000000
χ452222-2-2-1222-2-2222-12-12-1-2-12-211-2-2-1-1-1-1-122-1-12211-2-2-1-1-1-11-2111121-2-1-1-1-1-1111100220000-1-1-1-1000000-2-20200001100-1-111000000
χ462222-2-2-1222-2-2222-12-12-1-2-12-211-2-2-1-1-1-1-122-1-12211-2-2-1-1-1-11-2111121-2-1-1-1-1-1111100-2-200001111000000220-20000-1-10011-1-1000000
χ472222-2-2-1222-2-2-2-22-12-12-12-1-2211-2-2-1-1-1-1-12211-2-211-2-21111-1211-1-1-2-121-1-111-1-11100000000−i3−i3i3i300000000000000i3−i300−i3i3i3−i3000000
χ482222-2-2-1222-2-2-2-22-12-12-12-1-2211-2-2-1-1-1-1-12211-2-211-2-21111-1211-1-1-2-121-1-111-1-11100000000i3i3−i3−i300000000000000−i3i300i3−i3−i3i3000000
χ492222-2-2-12-2-222222-12-12-12-1-2-211-2-2-1-1-111-2-2-1-122-1-122-1-1-1-1-1211-1-1-21-21111111-1-100220000-1-1-1-1000000-220-20000-1-1001111000000
χ502222-2-2-12-2-222222-12-12-12-1-2-211-2-2-1-1-111-2-2-1-122-1-122-1-1-1-1-1211-1-1-21-21111111-1-100-2-2000011110000002-20200001100-1-1-1-1000000
χ512222-2-2-12-2-222-2-22-12-12-1-2-12211-2-2-1-1-111-2-211-2-2-1-12211111-211112-12-111-1-1-1-1-1-100000000−i3−i3i3i300000000000000−i3i300i3−i3i3−i3000000
χ522222-2-2-12-2-222-2-22-12-12-1-2-12211-2-2-1-1-111-2-211-2-2-1-12211111-211112-12-111-1-1-1-1-1-100000000i3i3−i3−i300000000000000i3−i300−i3i3−i3i3000000
χ5322-2-22-2222i−2i2i−2i002-2-2-2-2202002-22-22-2-22i−2i2i−2i00002i−2i2i−2i0000002-20000002i−2i00002i−2i00000000000022−2−2000000000000000000−i2i22−2−i2i2
χ5422-2-22-2222i−2i2i−2i002-2-2-2-2202002-22-22-2-22i−2i2i−2i00002i−2i2i−2i0000002-20000002i−2i00002i−2i000000000000−2−222000000000000000000i2−i2−22i2−i2
χ5522-2-22-222−2i2i−2i2i002-2-2-2-2202002-22-22-2-2−2i2i−2i2i0000−2i2i−2i2i0000002-2000000−2i2i0000−2i2i00000000000022−2−2000000000000000000i2−i22−2i2−i2
χ5622-2-22-222−2i2i−2i2i002-2-2-2-2202002-22-22-2-2−2i2i−2i2i0000−2i2i−2i2i0000002-2000000−2i2i0000−2i2i000000000000−2−222000000000000000000−i2i2−22−i2i2
χ5722-2-2-22222i−2i−2i2i002-2-2-2-220200-22-222-2-22i−2i2i−2i0000−2i2i−2i2i000000-220000002i−2i0000−2i2i00000000000022−2−2000000000000000000−i2i2−22i2−i2
χ5822-2-2-22222i−2i−2i2i002-2-2-2-220200-22-222-2-22i−2i2i−2i0000−2i2i−2i2i000000-220000002i−2i0000−2i2i000000000000−2−222000000000000000000i2−i22−2−i2i2
χ5922-2-2-2222−2i2i2i−2i002-2-2-2-220200-22-222-2-2−2i2i−2i2i00002i−2i2i−2i000000-22000000−2i2i00002i−2i00000000000022−2−2000000000000000000i2−i2−22−i2i2
χ6022-2-2-2222−2i2i2i−2i002-2-2-2-220200-22-222-2-2−2i2i−2i2i00002i−2i2i−2i000000-22000000−2i2i00002i−2i000000000000−2−222000000000000000000−i2i22−2i2−i2
χ612-2-22002200002-2-2-2-222-202000000-2-2200002-22-2000022-2-20000000000000000002-22i−2i2-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ622-2-22002200002-2-2-2-222-202000000-2-2200002-22-2000022-2-20000000000000000002-2−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ632-2-22002200002-2-2-2-222-202000000-2-2200002-22-2000022-2-2000000000000000000-222i−2i-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ642-2-22002200002-2-2-2-222-202000000-2-2200002-22-2000022-2-2000000000000000000-22−2i2i-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
χ66444444-2-24444-4-4-2-2-2-2-2-2-41-4-4-2-2-2-2111-2-2-2-22222-2-2-2-2-1-1-1-12211-1-1222211-1-1-1-1110000000000000000000000000000000000000000
χ67444444-2-2-4-4-4-444-2-2-2-2-2-2-41-44-2-2-2-21112222-2-2-2-2222211112211-1-12-2-22-1-1-1-111-1-10000000000000000000000000000000000000000
χ68444444-2-2-4-4-4-4-4-4-2-2-2-2-2-2414-4-2-2-2-2111222222222222-1-1-1-1-2-21111-222-2-1-111-1-1-1-10000000000000000000000000000000000000000
χ694444-4-4-2-244-4-444-2-2-2-2-2-2-414-42222111-2-2-2-2-2-2-2-22222111122-1-1-1-1-222-21111-1-1-1-10000000000000000000000000000000000000000
χ704444-4-4-2-244-4-4-4-4-2-2-2-2-2-241-442222111-2-2-2-222222222-1-1-1-1-2-2-1-1112-2-2211-1-111-1-10000000000000000000000000000000000000000
χ714444-4-4-2-2-4-44444-2-2-2-2-2-241-4-422221112222-2-2-2-2-2-2-2-21111-2-2-1-1112222-1-1-1-1-1-1110000000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-4-4-2-2-2-2-2-2-4144222211122222222-2-2-2-2-1-1-1-122-1-1-1-1-2-2-2-2-1-11111110000000000000000000000000000000000000000
χ7344-4-44-44-24i−4i4i−4i00-2-42-4240-2004-4-22-2224i−4i−2i2i00004i−4i−2i2i000000-22000000−2i2i0000−2i2i0000000000000000000000000000000000000000
χ7444-4-44-44-2−4i4i−4i4i00-2-42-4240-2004-4-22-222−4i4i2i−2i0000−4i4i2i−2i000000-220000002i−2i00002i−2i0000000000000000000000000000000000000000
χ7544-4-44-4-244i−4i4i−4i0042-42-4-20-200-224-4-222−2i2i4i−4i0000−2i2i4i−4i000000-22000000−2i2i0000−2i2i0000000000000000000000000000000000000000
χ7644-4-44-4-24−4i4i−4i4i0042-42-4-20-200-224-4-2222i−2i−4i4i00002i−2i−4i4i000000-220000002i−2i00002i−2i0000000000000000000000000000000000000000
χ7744-4-44-4-2-24i−4i4i−4i00-22222-20100-22-221-1-1−2i2i−2i2i0000−2i2i−2i2i3i−3i3i−3i001-13-30000i−i3-33i−3ii−i0000000000000000000000000000000000000000
χ7844-4-44-4-2-24i−4i4i−4i00-22222-20100-22-221-1-1−2i2i−2i2i0000−2i2i−2i2i−3i3i−3i3i001-1-330000i−i-33−3i3ii−i0000000000000000000000000000000000000000
χ7944-4-44-4-2-2−4i4i−4i4i00-22222-20100-22-221-1-12i−2i2i−2i00002i−2i2i−2i3i−3i3i−3i001-1-330000−ii-333i−3i−ii0000000000000000000000000000000000000000
χ8044-4-44-4-2-2−4i4i−4i4i00-22222-20100-22-221-1-12i−2i2i−2i00002i−2i2i−2i−3i3i−3i3i001-13-30000−ii3-3−3i3i−ii0000000000000000000000000000000000000000
χ8144-4-4-444-24i−4i−4i4i00-2-42-4240-200-442-2-2224i−4i−2i2i0000−4i4i2i−2i0000002-2000000−2i2i00002i−2i0000000000000000000000000000000000000000
χ8244-4-4-444-2−4i4i4i−4i00-2-42-4240-200-442-2-222−4i4i2i−2i00004i−4i−2i2i0000002-20000002i−2i0000−2i2i0000000000000000000000000000000000000000
χ8344-4-4-44-244i−4i−4i4i0042-42-4-20-2002-2-44-222−2i2i4i−4i00002i−2i−4i4i0000002-2000000−2i2i00002i−2i0000000000000000000000000000000000000000
χ8444-4-4-44-24−4i4i4i−4i0042-42-4-20-2002-2-44-2222i−2i−4i4i0000−2i2i4i−4i0000002-20000002i−2i0000−2i2i0000000000000000000000000000000000000000
χ8544-4-4-44-2-24i−4i−4i4i00-22222-201002-22-21-1-1−2i2i−2i2i00002i−2i2i−2i3i−3i3i−3i00-11-330000i−i3-3−3i3i−ii0000000000000000000000000000000000000000
χ8644-4-4-44-2-24i−4i−4i4i00-22222-201002-22-21-1-1−2i2i−2i2i00002i−2i2i−2i−3i3i−3i3i00-113-30000i−i-333i−3i−ii0000000000000000000000000000000000000000
χ8744-4-4-44-2-2−4i4i4i−4i00-22222-201002-22-21-1-12i−2i2i−2i0000−2i2i−2i2i3i−3i3i−3i00-113-30000−ii-33−3i3ii−i0000000000000000000000000000000000000000
χ8844-4-4-44-2-2−4i4i4i−4i00-22222-201002-22-21-1-12i−2i2i−2i0000−2i2i−2i2i−3i3i−3i3i00-11-330000−ii3-33i−3ii−i0000000000000000000000000000000000000000
χ894-44-40044000000-444-4-4-404000000-44-40000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ904-44-40044000000-444-4-4-404000000-44-400000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ914-4-4400440000-44-4-4-444-404000000-4-440000-44-440000-4-4440000000000000000000000000000000000000000000000000000000000
χ924-4-44004-200004-42-424-2-40-200000022-200004-4-220000-2-2220000000000000000004-400-22-2200000000000000000000000000000000
χ934-4-44004-200004-42-424-2-40-200000022-200004-4-220000-2-222000000000000000000-44002-22-200000000000000000000000000000000
χ944-4-44004-20000-442-424-2-40-200000022-20000-442-2000022-2-20000000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ954-4-44004-20000-442-424-2-40-200000022-20000-442-2000022-2-200000000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ964-4-4400-2400004-4-42-4-2420-200000022-20000-224-40000-2-222000000000000000000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ974-4-4400-2400004-4-42-4-2420-200000022-20000-224-40000-2-22200000000000000000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ984-4-4400-240000-44-42-4-2420-200000022-200002-2-44000022-2-20000000000000000000000000023−23−23230000000000000000000000000000
χ994-4-4400-240000-44-42-4-2420-200000022-200002-2-44000022-2-200000000000000000000000000−232323−230000000000000000000000000000
χ1008-88-8008-400000048-4-84-80-40000004-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-48000000-8-484-840-40000004-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-40000004-4-444402000000-22-20000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ1038-88-800-4-40000004-4-444402000000-22-2000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ1048-8-8800-4-400008-8444-4-4402000000-2-220000-44-44000022-2-20000000000000000000000000000000000000000000000000000000000
χ1058-8-8800-4-40000-88444-4-4402000000-2-2200004-44-40000-2-2220000000000000000000000000000000000000000000000000000000000

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