Finite Group Databasebeta

← Group #11872311

Character table — Group #11872311

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order1222334444446666661212121223444666661212121212121212121212121212121212121212666121212121212121212121212122244444466668888121212121212121212121212242424242424242488242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-11-1-1-1-1-1111111111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-11
χ61111111111111111111111-11-1-1-1-1-1111111111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1
χ71111111111111111111111-11-1-1-1-1-1111111111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-111-1
χ81111111111111111111111-11-1-1-1-1-1111111111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11
χ9111111-1-1-1-1111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11-11-1
χ10111111-1-1-1-1111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-11-11
χ11111111-1-1-1-1111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11-111-1-1-11-11
χ12111111-1-1-1-1111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-11-1-1111-11-1
χ13111111-1-1-1-1111111111111-11-111-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-1
χ14111111-1-1-1-1111111111111-11-111-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111
χ15111111-1-1-1-1111111111111-11-111-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-11-1-111-1-111
χ16111111-1-1-1-1111111111111-11-111-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-111-1-111-1-1
χ1722222222-2-2-2-2222222-2-2-2-222-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222-22-222-2-2-2-222-2-20000000000000000000000000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-2-2222-2-2-22222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-22-2222-2-222-2-2220000000000000000000000000000000000000000000000
χ19222222-2-222-2-2222222-2-2-2-222-22-222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2222-2-22-2-222-2-2-2-2220000000000000000000000000000000000000000000000
χ20222222-2-222-2-2222222-2-2-2-2-222-22-2-2222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-222-2-2-2222222-2-20000000000000000000000000000000000000000000000
χ2122222-1222222222-1-1-122222-1222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ2222222-1222222222-1-1-122222-1222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211110000111111111111000000000000000000
χ2322222-1222222222-1-1-12222-2-1-2-2-211-1-1-122-1-12211-1-111-1-111-1-1-1-1-211-2-2-2-1-1-1-111111122-2-222-2-2-1-1-1-100001111-1-1-1-11111000000000000000000
χ2422222-1222222222-1-1-12222-2-1-2-2-211-1-1-122-1-12211-1-111-1-111-1-1-1-1-211-2-2-2-1-1-1-1111111-2-222-2-22211110000-1-1-1-11111-1-1-1-1000000000000000000
χ2522222-122-2-2-2-2222-1-1-1-2-2-2-22-1-2-22-1-1-1-1-122-1-1-2-211111111-1-111112-1-1-22-2-1-11111-1-11100000000−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000
χ2622222-122-2-2-2-2222-1-1-1-2-2-2-22-1-2-22-1-1-1-1-122-1-1-2-211111111-1-111112-1-1-22-2-1-11111-1-11100000000i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000
χ2722222-122-2-2-2-2222-1-1-1-2-2-2-2-2-122-211-1-1-122-1-1-2-2-1-111-1-111111111-2112-22-1-111-1-111-1-100000000−i3−i3i3i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000000000
χ2822222-122-2-2-2-2222-1-1-1-2-2-2-2-2-122-211-1-1-122-1-1-2-2-1-111-1-111111111-2112-22-1-111-1-111-1-100000000i3i3−i3−i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000000000
χ2922222-1-2-222-2-2222-1-1-1-2-2-2-22-1-22-2-1-1-1-1-1-2-21122-1-11111-1-11111112-1-1-2-2211-1-11111-1-100000000−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3022222-1-2-222-2-2222-1-1-1-2-2-2-22-1-22-2-1-1-1-1-1-2-21122-1-11111-1-11111112-1-1-2-2211-1-11111-1-100000000i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000
χ3122222-1-2-222-2-2222-1-1-1-2-2-2-2-2-12-2211-1-1-1-2-211221111-1-1-1-1-1-11111-21122-211-1-1-1-1-1-11100000000−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3222222-1-2-222-2-2222-1-1-1-2-2-2-2-2-12-2211-1-1-1-2-211221111-1-1-1-1-1-11111-21122-211-1-1-1-1-1-11100000000i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000000000
χ3322222-1-2-2-2-222222-1-1-122222-12-2-2-1-1-1-1-1-2-211-2-211-1-1-1-11111-1-1-1-12-1-12-2-21111-1-111112222-2-2-2-2-1-1-1-10000-1-1-1-111111111000000000000000000
χ3422222-1-2-2-2-222222-1-1-122222-12-2-2-1-1-1-1-1-2-211-2-211-1-1-1-11111-1-1-1-12-1-12-2-21111-1-11111-2-2-2-22222111100001111-1-1-1-1-1-1-1-1000000000000000000
χ3522222-1-2-2-2-222222-1-1-12222-2-1-22211-1-1-1-2-211-2-2-1-1-1-11111-1-1-1-1-1-1-211-222111111-1-1-1-122-2-2-2-222-1-1-1-1000011111111-1-1-1-1000000000000000000
χ3622222-1-2-2-2-222222-1-1-12222-2-1-22211-1-1-1-2-211-2-2-1-1-1-11111-1-1-1-1-1-1-211-222111111-1-1-1-1-2-22222-2-211110000-1-1-1-1-1-1-1-11111000000000000000000
χ372222-12222222-1-1-1222-1-1-1-12-122222-1-1-1-1-122-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-10000
χ382222-12222222-1-1-1222-1-1-1-12-122222-1-1-1-1-122-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000000011111111-2-211110000
χ392222-12222222-1-1-1222-1-1-1-1-2-1-2-2-2-2-2-1-1-1-1-122-1-1-2-222-2-222-2-2-1-1-1-1111111-1-1-1-11111110000000000002222000000000000-1-1-1-1-1-1-1-1-2-211110000
χ402222-12222222-1-1-1222-1-1-1-1-2-1-2-2-2-2-2-1-1-1-1-122-1-1-2-222-2-222-2-2-1-1-1-1111111-1-1-1-1111111000000000000-2-2-2-20000000000001111111122-1-1-1-10000
χ412222-1222-2-2-2-2-1-1-122211112-1-2-2222-1-1-1-1-12211-2-2-2-2-2-2-2-2221111-1-1-11-11-1-11111-1-111000000000000000000000000000033−3−333−3−3003−33−30000
χ422222-1222-2-2-2-2-1-1-122211112-1-2-2222-1-1-1-1-12211-2-2-2-2-2-2-2-2221111-1-1-11-11-1-11111-1-1110000000000000000000000000000−3−333−3−33300−33−330000
χ432222-1222-2-2-2-2-1-1-12221111-2-122-2-2-2-1-1-1-1-1221122-2-222-2-2-2-21111111-11-1-1-111-1-111-1-1000000000000000000000000000033−3−333−3−300−33−330000
χ442222-1222-2-2-2-2-1-1-12221111-2-122-2-2-2-1-1-1-1-1221122-2-222-2-2-2-21111111-11-1-1-111-1-111-1-10000000000000000000000000000−3−333−3−333003−33−30000
χ452222-12-2-222-2-2-1-1-122211112-1-22-222-1-1-111-2-2-1-122-2-2-2-222-2-21111-1-1-111-111-1-11111-1-1000000000000000000000000000033−3−3−3−333003−3−330000
χ462222-12-2-222-2-2-1-1-122211112-1-22-222-1-1-111-2-2-1-122-2-2-2-222-2-21111-1-1-111-111-1-11111-1-10000000000000000000000000000−3−33333−3−300−333−30000
χ472222-12-2-222-2-2-1-1-12221111-2-12-22-2-2-1-1-111-2-2-1-1-2-2-2-22222221111111-1-1111-1-1-1-1-1-111000000000000000000000000000033−3−3−3−33300−333−30000
χ482222-12-2-222-2-2-1-1-12221111-2-12-22-2-2-1-1-111-2-2-1-1-2-2-2-22222221111111-1-1111-1-1-1-1-1-1110000000000000000000000000000−3−33333−3−3003−3−330000
χ492222-12-2-2-2-222-1-1-1222-1-1-1-12-12-2-222-1-1-111-2-211-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111-1-1111100000000000022-2-2000000000000-1-1-1-111112-2-1-1110000
χ502222-12-2-2-2-222-1-1-1222-1-1-1-12-12-2-222-1-1-111-2-211-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111-1-11111000000000000-2-2220000000000001111-1-1-1-1-2211-1-10000
χ512222-12-2-2-2-222-1-1-1222-1-1-1-1-2-1-222-2-2-1-1-111-2-2112222-2-2-2-222-1-1-1-11111-1-1111111-1-1-1-100000000000022-2-2000000000000-1-1-1-11111-2211-1-10000
χ522222-12-2-2-2-222-1-1-1222-1-1-1-1-2-1-222-2-2-1-1-111-2-2112222-2-2-2-222-1-1-1-11111-1-1111111-1-1-1-1000000000000-2-2220000000000001111-1-1-1-12-2-1-1110000
χ5322-2-2222i−2i2i−2i2-22-2-2-22-222-2-202000002-2-22i−2i2i−2i2i−2i002-2002i−2i0022-2-20000002i−2i2i−2i000000002-2002i−2i000000002-22-200002i−2i2i−2i000000000000000000
χ5422-2-2222i−2i2i−2i2-22-2-2-22-222-2-202000002-2-22i−2i2i−2i2i−2i002-2002i−2i0022-2-20000002i−2i2i−2i00000000-2200−2i2i00000000-22-220000−2i2i−2i2i000000000000000000
χ5522-2-2222i−2i−2i2i-222-2-2-22-2-2-22202000002-2-22i−2i2i−2i−2i2i00-2200−2i2i00-2-2220000002i−2i−2i2i0000002-2002i−2i002-22-2000000002i−2i2i−2i0000000000000000000000
χ5622-2-2222i−2i−2i2i-222-2-2-22-2-2-22202000002-2-22i−2i2i−2i−2i2i00-2200−2i2i00-2-2220000002i−2i−2i2i000000-2200−2i2i00-22-2200000000−2i2i−2i2i0000000000000000000000
χ5722-2-222−2i2i2i−2i-222-2-2-22-2-2-22202000002-2-2−2i2i−2i2i2i−2i00-22002i−2i00-2-222000000−2i2i2i−2i0000002-200−2i2i002-22-200000000−2i2i−2i2i0000000000000000000000
χ5822-2-222−2i2i2i−2i-222-2-2-22-2-2-22202000002-2-2−2i2i−2i2i2i−2i00-22002i−2i00-2-222000000−2i2i2i−2i000000-22002i−2i00-22-22000000002i−2i2i−2i0000000000000000000000
χ5922-2-222−2i2i−2i2i2-22-2-2-22-222-2-202000002-2-2−2i2i−2i2i−2i2i002-200−2i2i0022-2-2000000−2i2i−2i2i000000002-200−2i2i000000002-22-20000−2i2i−2i2i000000000000000000
χ6022-2-222−2i2i−2i2i2-22-2-2-22-222-2-202000002-2-2−2i2i−2i2i−2i2i002-200−2i2i0022-2-2000000−2i2i−2i2i00000000-22002i−2i00000000-22-2200002i−2i2i−2i000000000000000000
χ6122-2-22-12i−2i2i−2i2-22-2-21-1122-2-20-1000−i3i3-1112i−2i−ii2i−2i3−3-11−i3i3−ii3−3-1-1110−i3i3000−ii−ii−i3i33−33−3002-2002i−2i−i3i3i3−i30000-11-113−3−33−ii−ii000000000000000000
χ6222-2-22-12i−2i2i−2i2-22-2-21-1122-2-20-1000−i3i3-1112i−2i−ii2i−2i3−3-11−i3i3−ii3−3-1-1110−i3i3000−ii−ii−i3i33−33−300-2200−2i2ii3−i3−i3i300001-11-1−333−3i−ii−i000000000000000000
χ6322-2-22-12i−2i2i−2i2-22-2-21-1122-2-20-1000i3−i3-1112i−2i−ii2i−2i−33-11i3−i3−ii−33-1-1110i3−i3000−ii−iii3−i3−33−33002-2002i−2ii3−i3−i3i30000-11-11−333−3−ii−ii000000000000000000
χ6422-2-22-12i−2i2i−2i2-22-2-21-1122-2-20-1000i3−i3-1112i−2i−ii2i−2i−33-11i3−i3−ii−33-1-1110i3−i3000−ii−iii3−i3−33−3300-2200−2i2i−i3i3i3−i300001-11-13−3−33i−ii−i000000000000000000
χ6522-2-22-12i−2i−2i2i-222-2-21-11-2-2220-1000−i3i3-1112i−2i−ii−2i2i−331-1i3−i3i−i3−311-1-10−i3i3000−iii−ii3−i33−3−332-2002i−2i00-11-110000−i3i3i3−i3−ii−ii3−3−33000000000000000000
χ6622-2-22-12i−2i−2i2i-222-2-21-11-2-2220-1000−i3i3-1112i−2i−ii−2i2i−331-1i3−i3i−i3−311-1-10−i3i3000−iii−ii3−i33−3−33-2200−2i2i001-11-10000i3−i3−i3i3i−ii−i−333−3000000000000000000
χ6722-2-22-12i−2i−2i2i-222-2-21-11-2-2220-1000i3−i3-1112i−2i−ii−2i2i3−31-1−i3i3i−i−3311-1-10i3−i3000−iii−i−i3i3−333−32-2002i−2i00-11-110000i3−i3−i3i3−ii−ii−333−3000000000000000000
χ6822-2-22-12i−2i−2i2i-222-2-21-11-2-2220-1000i3−i3-1112i−2i−ii−2i2i3−31-1−i3i3i−i−3311-1-10i3−i3000−iii−i−i3i3−333−3-2200−2i2i001-11-10000−i3i3i3−i3i−ii−i3−3−33000000000000000000
χ6922-2-22-1−2i2i2i−2i-222-2-21-11-2-2220-1000−i3i3-111−2i2ii−i2i−2i3−31-1i3−i3−ii−3311-1-10−i3i3000i−i−iii3−i3−333−32-200−2i2i00-11-110000−i3i3i3−i3i−ii−i−333−3000000000000000000
χ7022-2-22-1−2i2i2i−2i-222-2-21-11-2-2220-1000−i3i3-111−2i2ii−i2i−2i3−31-1i3−i3−ii−3311-1-10−i3i3000i−i−iii3−i3−333−3-22002i−2i001-11-10000i3−i3−i3i3−ii−ii3−3−33000000000000000000
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χ7222-2-22-1−2i2i2i−2i-222-2-21-11-2-2220-1000i3−i3-111−2i2ii−i2i−2i−331-1−i3i3−ii3−311-1-10i3−i3000i−i−ii−i3i33−3−33-22002i−2i001-11-10000−i3i3i3−i3−ii−ii−333−3000000000000000000
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χ1138-8-88-4-400000044-444-443−43−43430200000-2-220000000000000000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-400000044-444-4−434343−430200000-2-22000000000000000023−23−232300000000000000000000000000000000000000000000000000000000000000

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