Finite Group Databasebeta

← Group #11887016

Character table — Group #11887016

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444441212121218181818242424242424242424242424242436363636363648484848
order122222334466666666668888346666666668812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422442244222444666612121212448888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-11111-1-1-1-111-1-1-1-11-11-1
χ611111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-1-111111-1-1-1-1-1-11111-11-11
χ711111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1111111-1-1-1-1-11-11
χ811111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1-1-1-11111-1-111111-11-1
χ91111-1-1111111-1-1-1-1111111111-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1111-1-111-1-1-11-1-1111-1-11
χ101111-1-1111111-1-1-1-1111111111-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-11-111-1-111-1-11-111-1-1-111-1
χ111111-1-1111111-1-1-1-1111111111-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-111-1-111-11-1-111-111-1
χ121111-1-1111111-1-1-1-1111111111-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111-111-1-11-1-11
χ131111-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1111-1-111-1-1-1-111-1111-1-111-1-1
χ141111-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-111111-1-1-1-1111-1-1-111-1-111
χ151111-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11-1-1-111-1-11111-1-1-1111-1-1-1-111
χ161111-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111111-1-1-1-1-11111-1-11-1-1-11111-1-1
χ1722222222-2-2222222222200002-222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000222200000000000000-2-200000000
χ1822222222-2-2222222222200002-222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2-2-2000000000000002200000000
χ192222222-1222-122222-12-12222-12-1-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000002202200000000000000-1-1-1-1
χ202222222-1222-122222-12-12222-12-1-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20-2-2000000000000001111
χ212222222-1222-122222-12-1-2-2-2-2-12-1-1-1-1-1-1-1-1-1-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000002-202-200000000000000-11-11
χ222222222-1222-122222-12-1-2-2-2-2-12-1-1-1-1-1-1-1-1-1-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000-220-22000000000000001-11-1
χ23222222-1222-12-1-1-1-1-12-122222-1222-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000200200-1-1-1-1-1-1-1-10000000000
χ24222222-1222-12-1-1-1-1-12-122222-1222-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-200-200111111110000000000
χ25222222-1222-12-1-1-1-1-12-12-2-2-2-2-1222-1-1-1-1-1-1-1-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-20000200-200-1-1-1-111110000000000
χ26222222-1222-12-1-1-1-1-12-12-2-2-2-2-1222-1-1-1-1-1-1-1-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2220000-2002001111-1-1-1-10000000000
χ272222-2-222-2-222-2-2-2-22222000022-2-222-2-2-2-2200-2-22222-2-22222-2-2-2-200000000000000000000000000000000000022-2-2000000000000002-200000000
χ282222-2-222-2-222-2-2-2-22222000022-2-222-2-2-2-2200-2-22222-2-22222-2-2-2-2000000000000000000000000000000000000-2-22200000000000000-2200000000
χ292222-2-22-1222-1-2-2-2-22-12-12222-1-211-1-11111-1-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000002-20-2200000000000000-111-1
χ302222-2-22-1222-1-2-2-2-22-12-12222-1-211-1-11111-1-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000-2202-2000000000000001-1-11
χ312222-2-22-1222-1-2-2-2-22-12-1-2-2-2-2-1-211-1-11111-1222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000220-2-200000000000000-1-111
χ322222-2-22-1222-1-2-2-2-22-12-1-2-2-2-2-1-211-1-11111-1222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20220000000000000011-1-1
χ332222-2-2-1222-121111-12-122222-1-2-2-2-1-11111-1-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111122220000-200-200-1-111-1-1110000000000
χ342222-2-2-1222-121111-12-122222-1-2-2-2-1-11111-1-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-2000020020011-1-111-1-10000000000
χ352222-2-2-1222-121111-12-12-2-2-2-2-1-2-2-2-1-11111-122-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-122-2-20000-200200-1-11111-1-10000000000
χ362222-2-2-1222-121111-12-12-2-2-2-2-1-2-2-2-1-11111-122-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2220000200-20011-1-1-1-1110000000000
χ372-22-200222-2-2-2000022-2-22i2i−2i−2i2000-2-20000200220000220000-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000002-22i−2i00000000002-2002i−2i000000000000
χ382-22-200222-2-2-2000022-2-22i2i−2i−2i2000-2-20000200220000220000-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000-22−2i2i0000000000-2200−2i2i000000000000
χ392-22-200222-2-2-2000022-2-2−2i−2i2i2i2000-2-20000200220000220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000002-2−2i2i00000000002-200−2i2i000000000000
χ402-22-200222-2-2-2000022-2-2−2i−2i2i2i2000-2-20000200220000220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000-222i−2i0000000000-22002i−2i000000000000
χ412-22-200-122-21-2−i3−i3i3i3-121-22i2i−2i−2i-100011−i3−i3i3i3-100-12−i3i300-1-1−i3−i3i3i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii33−3−300003333−3−3−3−32-22i−2i0000000000-11−i3i3−ii3−30000000000
χ422-22-200-122-21-2−i3−i3i3i3-121-22i2i−2i−2i-100011−i3−i3i3i3-100-12−i3i300-1-1−i3−i3i3i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii33−3−300003333−3−3−3−3-22−2i2i00000000001-1i3−i3i−i−330000000000
χ432-22-200-122-21-2−i3−i3i3i3-121-2−2i−2i2i2i-100011−i3−i3i3i3-100-12−i3i300-1-1−i3−i3i3i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−3−3330000−3−3−3−333332-2−2i2i0000000000-11−i3i3i−i−330000000000
χ442-22-200-122-21-2−i3−i3i3i3-121-2−2i−2i2i2i-100011−i3−i3i3i3-100-12−i3i300-1-1−i3−i3i3i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−3−3330000−3−3−3−33333-222i−2i00000000001-1i3−i3−ii3−30000000000
χ452-22-200-122-21-2i3i3−i3−i3-121-22i2i−2i−2i-100011i3i3−i3−i3-100-12i3−i300-1-1i3i3−i3−i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii−3−3330000−3−3−3−333332-22i−2i0000000000-11i3−i3−ii−330000000000
χ462-22-200-122-21-2i3i3−i3−i3-121-22i2i−2i−2i-100011i3i3−i3−i3-100-12i3−i300-1-1i3i3−i3−i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii−3−3330000−3−3−3−33333-22−2i2i00000000001-1−i3i3i−i3−30000000000
χ472-22-200-122-21-2i3i3−i3−i3-121-2−2i−2i2i2i-100011i3i3−i3−i3-100-12i3−i300-1-1i3i3−i3−i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i33−3−300003333−3−3−3−32-2−2i2i0000000000-11i3−i3i−i3−30000000000
χ482-22-200-122-21-2i3i3−i3−i3-121-2−2i−2i2i2i-100011i3i3−i3−i3-100-12i3−i300-1-1i3i3−i3−i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i33−3−300003333−3−3−3−3-222i−2i00000000001-1−i3i3−ii−330000000000
χ492-2-222-22200-2-22-22-2-2-2222−22−2202-22-22-22-2-22−200000000000000002−22−22−22−222−2−222−2−22−22−222−2−222−2−222−2−200002-22-200000000000000002−22−20000
χ502-2-222-22200-2-22-22-2-2-2222−22−2202-22-22-22-2-22−200000000000000002−22−22−22−222−2−222−2−22−22−222−2−222−2−222−2−20000-22-220000000000000000−22−220000
χ512-2-222-22200-2-22-22-2-2-222−22−22202-22-22-22-2-2−220000000000000000−22−22−22−22−2−222−2−222−22−22−2−222−2−222−2−22200002-22-20000000000000000−22−220000
χ522-2-222-22200-2-22-22-2-2-222−22−22202-22-22-22-2-2−220000000000000000−22−22−22−22−2−222−2−222−22−22−2−222−2−222−2−2220000-22-2200000000000000002−22−20000
χ532-2-22-222200-2-2-22-22-2-2222−22−220-222-2-22-22-2−2200000000000000002−22−22−22−222−2−222−2−2−22−22−2−222−2−222−2−22200002-2-220000000000000000−222−20000
χ542-2-22-222200-2-2-22-22-2-2222−22−220-222-2-22-22-2−2200000000000000002−22−22−22−222−2−222−2−2−22−22−2−222−2−222−2−2220000-222-200000000000000002−2−220000
χ552-2-22-222200-2-2-22-22-2-222−22−2220-222-2-22-22-22−20000000000000000−22−22−22−22−2−222−2−2222−22−222−2−222−2−222−2−200002-2-2200000000000000002−2−220000
χ562-2-22-222200-2-2-22-22-2-222−22−2220-222-2-22-22-22−20000000000000000−22−22−22−22−2−222−2−2222−22−222−2−222−2−222−2−20000-222-20000000000000000−222−20000
χ574444444-2-4-44-244444-24-20000-2-4-2-2-2-2-2-2-2-2-200-42-4-422222222-42220000000000000000000000000000000000000000000000000000000000000000
χ58444444-24-4-4-24-2-2-2-2-24-240000-2-444-2-2-2-2-2-2-2002-422-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-2-2-2-2-2444414-2-2111111144-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ60444444-2-244-2-2-2-2-2-2-2-2-2-2-4-4-4-414-2-21111111-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2-2-2-2-200001-4-2-2111111100222222-1-1-1-1-1-122-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
χ62444444-2-2-4-4-2-2-2-2-2-2-2-2-2-200001-4-2-2111111100222222-1-1-1-1-1-122-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
χ634444-4-44-2-4-44-2-4-4-4-44-24-20000-2422-2-22222-200-4244-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ644444-4-4-24-4-4-242222-24-240000-24-4-4-2-22222-2002-4-2-24422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ654444-4-4-2-244-2-22222-2-2-2-244441-42211-1-1-1-11-4-4-2-2222211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ664444-4-4-2-244-2-22222-2-2-2-2-4-4-4-41-42211-1-1-1-1144-2-2222211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ674444-4-4-2-2-4-4-2-22222-2-2-2-20000142211-1-1-1-110022-2-2-2-2-1-1111122-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
χ684444-4-4-2-2-4-4-2-22222-2-2-2-20000142211-1-1-1-110022-2-2-2-2-1-1111122-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
χ6944-4-4004400440000-4-4-4-4−2i22i22i2−2i24000-440000-4000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000000000000000000000
χ7044-4-4004400440000-4-4-4-42i2−2i2−2i22i24000-440000-40000000000000000002i2−2i2−2i22i22i2−2i2−2i22i22i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000000000000000000000
χ7144-4-4004-2004-20000-42-42−2i22i22i2−2i2-20002-20000200000023−230023−2323−230000−2i22i22i2−2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i20000i6−i6i6−i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ7244-4-4004-2004-20000-42-42−2i22i22i2−2i2-20002-200002000000−232300−2323−23230000−2i22i22i2−2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i20000−i6i6−i6i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.