Finite Group Databasebeta

← Group #11774469

Character table — Group #11774469

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222444433444466666612121212121212123666888812121212121212121212121224242424242424242244666612121212121212122424242424242424242424244488888888121212122424242424242424242424242424242424661212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i1111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−i1-1
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i1111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1-1ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111−i−iii-11
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i1111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-1111111-1-1ii−i−iiiii−i−i−i−i-11−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1−i−iii-11
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i1111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-1111111-1-1ii−i−iiiii−i−i−i−i-11−i−iii−i−iii-1-111−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−i1-1
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii1111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-111-1-1−i−iii−i−i−i−iiiii1-1−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111ii−i−i-11
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii1111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-111-1-1−i−iii−i−i−i−iiiii1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii1-1
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii1111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-1111111-1-1−i−iii−i−i−i−iiiii-11ii−i−iii−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii1-1
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii1111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-1111111-1-1−i−iii−i−i−i−iiiii-11ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1ii−i−i-11
χ172222222222-2-2-2-22222222222222222220000-2-2-2-2-2-22222-2-200000000222222222222-2-2-2-2000000000000-2-200000000-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-22222222222222222220000-2-2-2-2-2-22222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000220000000022220000000000000000000000000000
χ19222222222-12222-1-1222-122-1-1-1-122-1-1-1-12222-1-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ20222222222-12222-1-1222-122-1-1-1-122-1-1-1-12222-1-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ21222222222-12222-1-1222-122-1-1-1-122-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-11111111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ22222222222-12222-1-1222-122-1-1-1-122-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ2322222222-12222222-1-1-12-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2422222222-12222222-1-1-12-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ2522222222-12222222-1-1-12-1-12222-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ2622222222-12222222-1-1-12-1-12222-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12211111111-2-2-2-211111111-1-1-1-1-2-2-2-211111111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ2722222222-12-2-2-2-222-1-1-12-1-12222-1-1-1-1-1-10000-2-21111-1-1-1-1-2-2−i3−i3i3i3−i3−i3i3i32222-1-1-1-1-1-1-1-111110000−i3−i3i3i3−i3−i3i3i3-2-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2822222222-12-2-2-2-222-1-1-12-1-12222-1-1-1-1-1-10000-2-21111-1-1-1-1-2-2−i3−i3i3i3−i3−i3i3i3-2-2-2-21111111111110000−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2922222222-12-2-2-2-222-1-1-12-1-12222-1-1-1-1-1-10000-2-21111-1-1-1-1-2-2i3i3−i3−i3i3i3−i3−i32222-1-1-1-1-1-1-1-111110000i3i3−i3−i3i3i3−i3−i3-2-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3022222222-12-2-2-2-222-1-1-12-1-12222-1-1-1-1-1-10000-2-21111-1-1-1-1-2-2i3i3−i3−i3i3i3−i3−i3-2-2-2-21111111111110000i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-222220000-2-2-2-222-2-2-2-2220000000022-2-22222-2-2-2-2-2-222000000000000-2200000000-2-2220000000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-222220000-2-2-2-222-2-2-2-22200000000-2-222-2-2-2-22222-2-2220000000000002-20000000022-2-20000000000000000000000000000
χ332222-2-2-2-22-122-2-2-1-1222-1-2-21111-2-2-1-1-1-12i2i−2i−2i-1-122-2-21111112i2i2i2i−2i−2i−2i−2i000000000000-1-111−i−iii−i−i−i−iiiii0000002i2i−2i−2i000000000000−i−i−i−iiiii2-2-1-111000000
χ342222-2-2-2-22-122-2-2-1-1222-1-2-21111-2-2-1-1-1-12i2i−2i−2i-1-122-2-21111112i2i2i2i−2i−2i−2i−2i000000000000-1-111−i−iii−i−i−i−iiiii000000−2i−2i2i2i000000000000iiii−i−i−i−i-2211-1-1000000
χ352222-2-2-2-22-122-2-2-1-1222-1-2-21111-2-2-1-1-1-1−2i−2i2i2i-1-122-2-2111111−2i−2i−2i−2i2i2i2i2i000000000000-1-111ii−i−iiiii−i−i−i−i0000002i2i−2i−2i000000000000−i−i−i−iiiii-2211-1-1000000
χ362222-2-2-2-22-122-2-2-1-1222-1-2-21111-2-2-1-1-1-1−2i−2i2i2i-1-122-2-2111111−2i−2i−2i−2i2i2i2i2i000000000000-1-111ii−i−iiiii−i−i−i−i000000−2i−2i2i2i000000000000iiii−i−i−i−i2-2-1-111000000
χ372222-2-2-2-2-1222-2-222-1-1-1211-2-2-2-211-1-1-1-12i2i−2i−2i22-1-1111111-2-2−i−i−i−iiiii22-2-2-1-1-1-11111-1-1112i2i−2i−2i−i−i−i−iiiii2-22i2i−2i−2i0000-1-111−i−i−i−iiiii00000000000000000000
χ382222-2-2-2-2-1222-2-222-1-1-1211-2-2-2-211-1-1-1-12i2i−2i−2i22-1-1111111-2-2−i−i−i−iiiii-2-2221111-1-1-1-1-1-1112i2i−2i−2i−i−i−i−iiiii-22−2i−2i2i2i000011-1-1iiii−i−i−i−i00000000000000000000
χ392222-2-2-2-2-1222-2-222-1-1-1211-2-2-2-211-1-1-1-1−2i−2i2i2i22-1-1111111-2-2iiii−i−i−i−i22-2-2-1-1-1-11111-1-111−2i−2i2i2iiiii−i−i−i−i2-2−2i−2i2i2i0000-1-111iiii−i−i−i−i00000000000000000000
χ402222-2-2-2-2-1222-2-222-1-1-1211-2-2-2-211-1-1-1-1−2i−2i2i2i22-1-1111111-2-2iiii−i−i−i−i-2-2221111-1-1-1-1-1-111−2i−2i2i2iiiii−i−i−i−i-222i2i−2i−2i000011-1-1−i−i−i−iiiii00000000000000000000
χ412222-2-2-2-2-12-2-22222-1-1-1211-2-2-2-211-1-1-1-10000-2-211-1-111112233−3−3−3−33322-2-2-1-1-1-1111111-1-1000033−3−3−3−333-220000000011-1-133−3−3−3−33300000000000000000000
χ422222-2-2-2-2-12-2-22222-1-1-1211-2-2-2-211-1-1-1-10000-2-211-1-111112233−3−3−3−333-2-2221111-1-1-1-111-1-1000033−3−3−3−3332-200000000-1-111−3−33333−3−300000000000000000000
χ432222-2-2-2-2-12-2-22222-1-1-1211-2-2-2-211-1-1-1-10000-2-211-1-1111122−3−33333−3−322-2-2-1-1-1-1111111-1-10000−3−33333−3−3-220000000011-1-1−3−33333−3−300000000000000000000
χ442222-2-2-2-2-12-2-22222-1-1-1211-2-2-2-211-1-1-1-10000-2-211-1-1111122−3−33333−3−3-2-2221111-1-1-1-111-1-10000−3−33333−3−32-200000000-1-11133−3−3−3−33300000000000000000000
χ452-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-200000000002i−2i2i−2i00000000002-22i−2i22-2-22i2i−2i−2i00000000000000000000001+i−1−i1−i−1+i0000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000001+i−1−i1−i−1+i00
χ462-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-200000000002i−2i2i−2i00000000002-22i−2i22-2-22i2i−2i−2i0000000000000000000000−1−i1+i−1+i1−i000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000−1−i1+i−1+i1−i00
χ472-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-200000000002i−2i2i−2i0000000000-22−2i2i-2-222−2i−2i2i2i00000000000000000000001+i−1−i1−i−1+i0000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000−1−i1+i−1+i1−i00
χ482-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-200000000002i−2i2i−2i0000000000-22−2i2i-2-222−2i−2i2i2i0000000000000000000000−1−i1+i−1+i1−i000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000001+i−1−i1−i−1+i00
χ492-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000000000−2i2i−2i2i00000000002-2−2i2i22-2-2−2i−2i2i2i00000000000000000000001−i−1+i1+i−1−i0000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000001−i−1+i1+i−1−i00
χ502-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000000000−2i2i−2i2i00000000002-2−2i2i22-2-2−2i−2i2i2i0000000000000000000000−1+i1−i−1−i1+i000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000−1+i1−i−1−i1+i00
χ512-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000000000−2i2i−2i2i0000000000-222i−2i-2-2222i2i−2i−2i00000000000000000000001−i−1+i1+i−1−i0000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000−1+i1−i−1−i1+i00
χ522-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000000000−2i2i−2i2i0000000000-222i−2i-2-2222i2i−2i−2i0000000000000000000000−1+i1−i−1−i1+i000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000001−i−1+i1+i−1−i00
χ532-2-222i−2i−2i2i222-22i−2i-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-200002-22-22i−2i2i−2i−2i2i2i−2i000000000000000000002-22i−2i00000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000
χ542-2-222i−2i−2i2i222-22i−2i-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-200002-22-22i−2i2i−2i−2i2i2i−2i000000000000000000002-22i−2i000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000
χ552-2-222i−2i−2i2i22-22−2i2i-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-22-22−2i2i2i−2i−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000-22−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000000000000000
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χ1214-4-44−4i4i4i−4i-2-2-444i−4i2-22-2222i−2i2i−2i−2i2i−2i2i1-11-14ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ132-22-2−2i2i−iii−i−2i2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000-11i−i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.