Finite Group Databasebeta

← Group #11774715

Character table — Group #11774715

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order122244443344446666661212121212121212344446661212121212121212121212121212121212121212224466661212121212121212121212121212121212121212444444888812121212121212121212121224242424242424248824242424888888
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
χ511111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−ii−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii−ii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1-111ii−i−i-1-111-1-1-1-11111iiii−i−i−i−ii−iii−i−i−i−iii−ii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1-111−i−iii-1-111-1-1-1-11111−i−i−i−iiiii−ii−i−iiiii−i−ii−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111ii−i−i11-1-1-1-1-1-11111iiii−i−i−i−i−ii−i−iiiii−i−i−ii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111−i−iii11-1-1-1-1-1-11111−i−i−i−iiiiii−iii−i−i−i−iiii−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1111-1-1ii−i−i-1-1111111-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iiii−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1111-1-1−i−iii-1-1111111-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i−ii
χ172222222222-2-2-2-22222222222222220000222-2-2-2-2-2-2000000002222-2-22222222222220000-2-2-2-200000000-2-200000000-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-22222222222222220000222-2-2-2-2-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000220000000022220000000000000000000000000000
χ19222222222-12222222-1-1-122-1-1-1-122-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-12222222-1-1-122-1-1-1-122-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-2-2-2-2-1-1-122-1-1-1-111111111-1-1-1-1222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-2-2-2-2-1-1-122-1-1-1-111111111-1-1-1-122-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-2-2-2222-1-1-122-1-1-1-122-10000-1-1-1-2-21111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-2-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-2-2222-1-1-122-1-1-1-122-10000-1-1-1-2-21111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-2-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-2222-1-1-122-1-1-1-122-10000-1-1-1-2-21111i3i3−i3−i3i3i3−i3−i3-1-1-1-1-2-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2222-1-1-122-1-1-1-122-10000-1-1-1-2-21111i3i3−i3−i3i3i3−i3−i3-1-1-1-1-2-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-122222-1-1-1222-1-12222-1-1-12222-1-1-1-1-1222222222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1222-1-12222-1-1-12222-1-1-1-1-1222222222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ2922222222-122222-1-1-1222-1-12222-1-1-1-2-2-2-2-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000001111-1-1-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1222-1-12222-1-1-1-2-2-2-2-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000001111-1-1-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-220000222-2-2-2-22200000000-2-2-2-22222-2-22222-2-2-2-20000-2-22200000000-2200000000-2-2220000000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-220000222-2-2-2-22200000000-2-2-2-222-2-222-2-2-2-222220000-2-222000000002-20000000022-2-20000000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-122-2-2-1-1-122-1-111-1-1-1-111111111-2-222-2-2-1-1-1-1111122-2-2-1-111-1-1-1-111112-222-2-20000-1-111-1-1-1-1111100000000000000000000
χ342222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-122-2-2-1-1-122-1-111-1-1-1-111111111-2-2-2-2221111-1-1-1-122-2-2-1-111-1-1-1-11111-22-2-222000011-1-11111-1-1-1-100000000000000000000
χ352222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-2-222-1-1-122-1-1111111-1-1-1-11111-2-222-2-2-1-1-1-11111-2-222-1-1111111-1-1-1-12-2-2-2220000-1-1111111-1-1-1-100000000000000000000
χ362222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-2-222-1-1-122-1-1111111-1-1-1-11111-2-2-2-2221111-1-1-1-1-2-222-1-1111111-1-1-1-1-2222-2-2000011-1-1-1-1-1-1111100000000000000000000
χ372222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-10000-1-1-1-2-211-1-1−i3−i3i3i3i3i3−i3−i311112222-2-2-1-1-1-11111000011-1-1−i3−i3i3i3i3i3−i3−i3-220000000011-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000
χ382222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-10000-1-1-1-2-211-1-1−i3−i3i3i3i3i3−i3−i3111122-2-2221111-1-1-1-1000011-1-1−i3−i3i3i3i3i3−i3−i32-200000000-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000
χ392222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-10000-1-1-1-2-211-1-1i3i3−i3−i3−i3−i3i3i311112222-2-2-1-1-1-11111000011-1-1i3i3−i3−i3−i3−i3i3i3-220000000011-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000
χ402222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-10000-1-1-1-2-211-1-1i3i3−i3−i3−i3−i3i3i3111122-2-2221111-1-1-1-1000011-1-1i3i3−i3−i3−i3−i3i3i32-200000000-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000
χ412222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-122-2-2-1-1-1-1-122-2-22222-2-2-2-2111111000000000000-1-111-1-111-1-1-1-111110000002i2i−2i−2i000000000000−i−i−i−iiiii2i−2i−i−iii000000
χ422222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-122-2-2-1-1-1-1-122-2-22222-2-2-2-2111111000000000000-1-111-1-111-1-1-1-11111000000−2i−2i2i2i000000000000iiii−i−i−i−i−2i2iii−i−i000000
χ432222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-2-222-1-1-1-1-122-2-2-2-2-2-2222211111100000000000011-1-1-1-1111111-1-1-1-10000002i2i−2i−2i000000000000−i−i−i−iiiii−2i2iii−i−i000000
χ442222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-2-222-1-1-1-1-122-2-2-2-2-2-2222211111100000000000011-1-1-1-1111111-1-1-1-1000000−2i−2i2i2i000000000000iiii−i−i−i−i2i−2i−i−iii000000
χ452-22-22i−2i2i−2i220000-22-2-22-22i−2i2i2i−2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i002-22i−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−2i220000-22-2-22-22i−2i2i2i−2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i002-22i−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−2i220000-22-2-22-22i−2i2i2i−2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i00-22−2i2i-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−2i220000-22-2-22-22i−2i2i2i−2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i00-22−2i2i-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−2i2i220000-22-2-22-2−2i2i−2i−2i2i2i−2i2i20000-22-200000000000000−2i−2i2i2i002-2−2i2i22-2-2−2i−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−2i2i220000-22-2-22-2−2i2i−2i−2i2i2i−2i2i20000-22-200000000000000−2i−2i2i2i002-2−2i2i22-2-2−2i−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−2i2i220000-22-2-22-2−2i2i−2i−2i2i2i−2i2i20000-22-200000000000000−2i−2i2i2i00-222i−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−2i2i220000-22-2-22-2−2i2i−2i−2i2i2i−2i2i20000-22-200000000000000−2i−2i2i2i00-222i−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-2-22-2-22−2i2i2i−2i2i−2i2i−2i20000-2-222-22-22i−2i000000002i−2i2i−2i2i−2i00000000000000002-22i−2i00000000002i−2i2-2000000002i−2i2i−2i2-22-200000000000000000000
χ542-2-222i−2i−2i2i222-22i−2i-2-22-2-22−2i2i2i−2i2i−2i2i−2i20000-2-222-22-22i−2i000000002i−2i2i−2i2i−2i00000000000000002-22i−2i0000000000−2i2i-2200000000−2i2i−2i2i-22-2200000000000000000000
χ552-2-222i−2i−2i2i22-22−2i2i-2-22-2-22−2i2i2i−2i2i−2i2i−2i22i−2i2-2-2-22-22-22−2i2i2i−2i2i−2i2-22-22i−2i2i−2i−2i2i0000000000002i−2i2-2-22−2i2i2i−2i2i−2i2-22-2000000000000000000000000000000000000000000
χ562-2-222i−2i−2i2i22-22−2i2i-2-22-2-22−2i2i2i−2i2i−2i2i−2i2−2i2i-22-2-22-22-22−2i2i−2i2i−2i2i-22-222i−2i2i−2i−2i2i000000000000−2i2i-22-22−2i2i−2i2i−2i2i-22-22000000000000000000000000000000000000000000
χ572-2-222i−2i−2i2i2-12-22i−2i-2-2211-1−2i2i−ii−ii2i−2i-1000011-12-2-11−ii3−3−33−i3i3i3−i3−ii−ii2i−2i0000−i3i3−i3i33−33−30000-11−ii3−3−33−i3i3i3−i3002i−2i2-20000−i3i33−3−ii−ii-11-1100000000000000000000
χ582-2-222i−2i−2i2i2-12-22i−2i-2-2211-1−2i2i−ii−ii2i−2i-1000011-12-2-11−ii3−3−33−i3i3i3−i3−ii−ii2i−2i0000i3−i3i3−i3−33−330000-11−ii3−3−33−i3i3i3−i300−2i2i-220000i3−i3−33i−ii−i1-11-100000000000000000000
χ592-2-222i−2i−2i2i2-12-22i−2i-2-2211-1−2i2i−ii−ii2i−2i-1000011-12-2-11−ii−333−3i3−i3−i3i3−ii−ii2i−2i0000−i3i3−i3i33−33−30000-11−ii−333−3i3−i3−i3i300−2i2i-220000−i3i33−3i−ii−i1-11-100000000000000000000
χ602-2-222i−2i−2i2i2-12-22i−2i-2-2211-1−2i2i−ii−ii2i−2i-1000011-12-2-11−ii−333−3i3−i3−i3i3−ii−ii2i−2i0000i3−i3i3−i3−33−330000-11−ii−333−3i3−i3−i3i3002i−2i2-20000i3−i3−33−ii−ii-11-1100000000000000000000
χ612-2-222i−2i−2i2i2-1-22−2i2i-2-2211-1−2i2i−ii−ii2i−2i-12i−2i2-211-1-221-1i−i−ii−ii-11-11−ii−ii−2i2i0000−i3i3−i3i33−33−32i−2i2-21-1i−i−ii−ii-11-110000000000i3−i3−333−3−33−i3i3i3−i300000000000000000000
χ622-2-222i−2i−2i2i2-1-22−2i2i-2-2211-1−2i2i−ii−ii2i−2i-12i−2i2-211-1-221-1i−i−ii−ii-11-11−ii−ii−2i2i0000i3−i3i3−i3−33−332i−2i2-21-1i−i−ii−ii-11-110000000000−i3i33−3−333−3i3−i3−i3i300000000000000000000
χ632-2-222i−2i−2i2i2-1-22−2i2i-2-2211-1−2i2i−ii−ii2i−2i-1−2i2i-2211-1-221-1i−ii−ii−i1-11-1−ii−ii−2i2i0000−i3i3−i3i33−33−3−2i2i-221-1i−ii−ii−i1-11-10000000000i3−i3−33−333−3i3−i3−i3i300000000000000000000
χ642-2-222i−2i−2i2i2-1-22−2i2i-2-2211-1−2i2i−ii−ii2i−2i-1−2i2i-2211-1-221-1i−ii−ii−i1-11-1−ii−ii−2i2i0000i3−i3i3−i3−33−33−2i2i-221-1i−ii−ii−i1-11-10000000000−i3i33−33−3−33−i3i3i3−i300000000000000000000
χ652-2-222i−2i−2i2i-12-22−2i2i11-1-2-22i−i2i−2i2i−2i−ii-12i−2i2-211-11-1-22−2i2i2i−2i2i−2i2-22-2−ii−iii−i000000000000−ii-111-1i−i−ii−ii-11-110000000000000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ662-2-222i−2i−2i2i-12-22−2i2i11-1-2-22i−i2i−2i2i−2i−ii-12i−2i2-211-11-1-22−2i2i2i−2i2i−2i2-22-2−ii−iii−i000000000000−ii-111-1i−i−ii−ii-11-110000000000000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ672-2-222i−2i−2i2i-12-22−2i2i11-1-2-22i−i2i−2i2i−2i−ii-1−2i2i-2211-11-1-22−2i2i−2i2i−2i2i-22-22−ii−iii−i000000000000i−i1-11-1i−ii−ii−i1-11-10000000000000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ682-2-222i−2i−2i2i-12-22−2i2i11-1-2-22i−i2i−2i2i−2i−ii-1−2i2i-2211-11-1-22−2i2i−2i2i−2i2i-22-22−ii−iii−i000000000000i−i1-11-1i−ii−ii−i1-11-10000000000000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ692-2-22−2i2i2i−2i222-2−2i2i-2-22-2-222i−2i−2i2i−2i2i−2i2i20000-2-222-22-2−2i2i00000000−2i2i−2i2i−2i2i00000000000000002-2−2i2i00000000002i−2i-22000000002i−2i2i−2i-22-2200000000000000000000
χ702-2-22−2i2i2i−2i222-2−2i2i-2-22-2-222i−2i−2i2i−2i2i−2i2i20000-2-222-22-2−2i2i00000000−2i2i−2i2i−2i2i00000000000000002-2−2i2i0000000000−2i2i2-200000000−2i2i−2i2i2-22-200000000000000000000
χ712-2-22−2i2i2i−2i22-222i−2i-2-22-2-222i−2i−2i2i−2i2i−2i2i22i−2i-22-2-22-22-222i−2i2i−2i2i−2i-22-22−2i2i−2i2i2i−2i0000000000002i−2i-22-222i−2i2i−2i2i−2i-22-22000000000000000000000000000000000000000000
χ722-2-22−2i2i2i−2i22-222i−2i-2-22-2-222i−2i−2i2i−2i2i−2i2i2−2i2i2-2-2-22-22-222i−2i−2i2i−2i2i2-22-2−2i2i−2i2i2i−2i000000000000−2i2i2-2-222i−2i−2i2i−2i2i2-22-2000000000000000000000000000000000000000000
χ732-2-22−2i2i2i−2i2-12-2−2i2i-2-2211-12i−2ii−ii−i−2i2i-1000011-12-2-11i−i3−3−33i3−i3−i3i3i−ii−i−2i2i0000−i3i3−i3i3−33−330000-11i−i3−3−33i3−i3−i3i3002i−2i-220000−i3i3−33−ii−ii1-11-100000000000000000000
χ742-2-22−2i2i2i−2i2-12-2−2i2i-2-2211-12i−2ii−ii−i−2i2i-1000011-12-2-11i−i3−3−33i3−i3−i3i3i−ii−i−2i2i0000i3−i3i3−i33−33−30000-11i−i3−3−33i3−i3−i3i300−2i2i2-20000i3−i33−3i−ii−i-11-1100000000000000000000
χ752-2-22−2i2i2i−2i2-12-2−2i2i-2-2211-12i−2ii−ii−i−2i2i-1000011-12-2-11i−i−333−3−i3i3i3−i3i−ii−i−2i2i0000−i3i3−i3i3−33−330000-11i−i−333−3−i3i3i3−i300−2i2i2-20000−i3i3−33i−ii−i-11-1100000000000000000000
χ762-2-22−2i2i2i−2i2-12-2−2i2i-2-2211-12i−2ii−ii−i−2i2i-1000011-12-2-11i−i−333−3−i3i3i3−i3i−ii−i−2i2i0000i3−i3i3−i33−33−30000-11i−i−333−3−i3i3i3−i3002i−2i-220000i3−i33−3−ii−ii1-11-100000000000000000000
χ772-2-22−2i2i2i−2i2-1-222i−2i-2-2211-12i−2ii−ii−i−2i2i-12i−2i-2211-1-221-1−ii−ii−ii1-11-1i−ii−i2i−2i0000−i3i3−i3i3−33−332i−2i-221-1−ii−ii−ii1-11-10000000000i3−i33−33−3−33i3−i3−i3i300000000000000000000
χ782-2-22−2i2i2i−2i2-1-222i−2i-2-2211-12i−2ii−ii−i−2i2i-12i−2i-2211-1-221-1−ii−ii−ii1-11-1i−ii−i2i−2i0000i3−i3i3−i33−33−32i−2i-221-1−ii−ii−ii1-11-10000000000−i3i3−33−333−3−i3i3i3−i300000000000000000000
χ792-2-22−2i2i2i−2i2-1-222i−2i-2-2211-12i−2ii−ii−i−2i2i-1−2i2i2-211-1-221-1−iii−ii−i-11-11i−ii−i2i−2i0000−i3i3−i3i3−33−33−2i2i2-21-1−iii−ii−i-11-110000000000i3−i33−3−333−3−i3i3i3−i300000000000000000000
χ802-2-22−2i2i2i−2i2-1-222i−2i-2-2211-12i−2ii−ii−i−2i2i-1−2i2i2-211-1-221-1−iii−ii−i-11-11i−ii−i2i−2i0000i3−i3i3−i33−33−3−2i2i2-21-1−iii−ii−i-11-110000000000−i3i3−333−3−33i3−i3−i3i300000000000000000000
χ812-2-22−2i2i2i−2i-12-222i−2i11-1-2-22−ii−2i2i−2i2ii−i-12i−2i-2211-11-1-222i−2i2i−2i2i−2i-22-22i−ii−i−ii000000000000−ii1-11-1−ii−ii−ii1-11-10000000000000000000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ822-2-22−2i2i2i−2i-12-222i−2i11-1-2-22−ii−2i2i−2i2ii−i-12i−2i-2211-11-1-222i−2i2i−2i2i−2i-22-22i−ii−i−ii000000000000−ii1-11-1−ii−ii−ii1-11-10000000000000000000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ832-2-22−2i2i2i−2i-12-222i−2i11-1-2-22−ii−2i2i−2i2ii−i-1−2i2i2-211-11-1-222i−2i−2i2i−2i2i2-22-2i−ii−i−ii000000000000i−i-111-1−iii−ii−i-11-110000000000000000000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ842-2-22−2i2i2i−2i-12-222i−2i11-1-2-22−ii−2i2i−2i2ii−i-1−2i2i2-211-11-1-222i−2i−2i2i−2i2i2-22-2i−ii−i−ii000000000000i−i-111-1−iii−ii−i-11-110000000000000000000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ8544444444-24-4-4-4-4-2-2-2444-2-24444-2-2-20000-2-2-222-4-4-4-400000000-2-2-2-2220000000000000000222200000000000000000000000000000000000000000000000000
χ8644444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2000000000000-2-2-2-2111111111111000000000000000000000000000000000000000000
χ8744444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4111-2-2-2-2-2-2222222221111-2-200000000000022221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-210000111222222−2i3−2i32i32i3−2i3−2i32i32i31111220000000000000000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ8944444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2100001112222222i32i3−2i3−2i32i32i3−2i3−2i31111220000000000000000-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ904444-4-4-4-4-24-4-444-2-2-244422-4-4-4-422-20000-2-2-222-4-444000000002222-2-2000000000000000022-2-200000000000000000000000000000000000000000000000000
χ914444-4-4-4-4-2-244-4-4-2-2-2-2-2-222222222144-4-4111-2-2-2-222-2-2-2-22222-1-1-1-122000000000000-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ924444-4-4-4-4-2-244-4-4-2-2-2-2-2-2222222221-4-444111-2-2-2-2222222-2-2-2-2-1-1-1-12200000000000022-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ934444-4-4-4-4-2-2-4-444-2-2-2-2-2-222222222100001112222-2-2−2i3−2i32i32i32i32i3−2i3−2i3-1-1-1-1-2-20000000000000000-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ944444-4-4-4-4-2-2-4-444-2-2-2-2-2-222222222100001112222-2-22i32i3−2i3−2i3−2i3−2i32i32i3-1-1-1-1-2-20000000000000000-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ9544-4-444-4-44400004-4-44-4-4-4-44-4-4444400004-4-4000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-444-4-44-200004-4-4-222-4-4-222-244-20000-22200000000000000-222-2000000−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ9744-4-444-4-44-200004-4-4-222-4-4-222-244-20000-22200000000000000-222-20000002i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ9844-4-444-4-4-240000-2224-4-4224-4-44-2-2-20000-22200000000000000-222-200000000000000000000000000000000000000000000000000006−6−666−6−66000000000000
χ9944-4-444-4-4-240000-2224-4-4224-4-44-2-2-20000-22200000000000000-222-20000000000000000000000000000000000000000000000000000−666−6−666−6000000000000
χ10044-4-4-4-4444400004-4-44-4-444-444-4-4-4400004-4-400000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ10144-4-4-4-4444-200004-4-4-222442-2-22-4-4-20000-222000000000000002-2-22000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ10244-4-4-4-4444-200004-4-4-222442-2-22-4-4-20000-222000000000000002-2-220000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ10344-4-4-4-444-240000-2224-4-4-2-2-444-422-20000-222000000000000002-2-220000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000
χ10444-4-4-4-444-240000-2224-4-4-2-2-444-422-20000-222000000000000002-2-220000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000
χ1054-44-44i−4i4i−4i4-20000-44-42-224i−4i−2i−2i2i2i4i−4i-200002-2200000000000000−2i−2i2i2i004-44i−4i-2-222−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ1064-44-44i−4i4i−4i4-20000-44-42-224i−4i−2i−2i2i2i4i−4i-200002-2200000000000000−2i−2i2i2i00-44−4i4i22-2-22i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ1074-44-44i−4i4i−4i-2400002-22-44-4−2i2i4i4i−4i−4i−2i2i-200002-2200000000000000−2i−2i2i2i0000000000000000000000000000000000002+2i−2−2i2−2i−2+2i000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000
χ1084-44-44i−4i4i−4i-2400002-22-44-4−2i2i4i4i−4i−4i−2i2i-200002-2200000000000000−2i−2i2i2i000000000000000000000000000000000000−2−2i2+2i−2+2i2−2i0000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000
χ1094-44-4−4i4i−4i4i4-20000-44-42-22−4i4i2i2i−2i−2i−4i4i-200002-22000000000000002i2i−2i−2i004-4−4i4i-2-2222i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ1104-44-4−4i4i−4i4i4-20000-44-42-22−4i4i2i2i−2i−2i−4i4i-200002-22000000000000002i2i−2i−2i00-444i−4i22-2-2−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ1114-44-4−4i4i−4i4i-2400002-22-44-42i−2i−4i−4i4i4i2i−2i-200002-22000000000000002i2i−2i−2i0000000000000000000000000000000000002−2i−2+2i2+2i−2−2i000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000
χ1124-44-4−4i4i−4i4i-2400002-22-44-42i−2i−4i−4i4i4i2i−2i-200002-22000000000000002i2i−2i−2i000000000000000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000
χ1134-4-444i−4i−4i4i-244-44i−4i22-2-4-442i−2i4i−4i4i−4i−2i2i-2000022-2-224-44i−4i00000000−2i2i−2i2i−2i2i0000000000000000-22−2i2i00000000000000000000000000000000000000000000000000
χ1144-4-444i−4i−4i4i-2-24-44i−4i22-222-22i−2i−2i2i−2i2i−2i2i10000-1-11-22-22−2i2i23−23−2323−2i32i32i3−2i3i−ii−i−2i2i00000000000000001-1i−i−333−3i3−i3−i3i3000000000000000000000000000000000000000000
χ1154-4-444i−4i−4i4i-2-24-44i−4i22-222-22i−2i−2i2i−2i2i−2i2i10000-1-11-22-22−2i2i−232323−232i3−2i3−2i32i3i−ii−i−2i2i00000000000000001-1i−i3−3−33−i3i3i3−i3000000000000000000000000000000000000000000
χ1164-4-444i−4i−4i4i-2-2-44−4i4i22-222-22i−2i−2i2i−2i2i−2i2i14i−4i4-4-1-112-22-22i−2i−2i2i−2i2i-22-22i−ii−i2i−2i000000000000−2i2i-22-11−iii−ii−i1-11-1000000000000000000000000000000000000000000
χ1174-4-444i−4i−4i4i-2-2-44−4i4i22-222-22i−2i−2i2i−2i2i−2i2i1−4i4i-44-1-112-22-22i−2i2i−2i2i−2i2-22-2i−ii−i2i−2i0000000000002i−2i2-2-11−ii−ii−ii-11-11000000000000000000000000000000000000000000
χ1184-4-44−4i4i4i−4i-244-4−4i4i22-2-4-44−2i2i−4i4i−4i4i2i−2i-2000022-2-224-4−4i4i000000002i−2i2i−2i2i−2i0000000000000000-222i−2i00000000000000000000000000000000000000000000000000
χ1194-4-44−4i4i4i−4i-2-24-4−4i4i22-222-2−2i2i2i−2i2i−2i2i−2i10000-1-11-22-222i−2i23−23−23232i3−2i3−2i32i3−ii−ii2i−2i00000000000000001-1−ii−333−3−i3i3i3−i3000000000000000000000000000000000000000000
χ1204-4-44−4i4i4i−4i-2-24-4−4i4i22-222-2−2i2i2i−2i2i−2i2i−2i10000-1-11-22-222i−2i−232323−23−2i32i32i3−2i3−ii−ii2i−2i00000000000000001-1−ii3−3−33i3−i3−i3i3000000000000000000000000000000000000000000
χ1214-4-44−4i4i4i−4i-2-2-444i−4i22-222-2−2i2i2i−2i2i−2i2i−2i14i−4i-44-1-112-22-2−2i2i−2i2i−2i2i2-22-2−ii−ii−2i2i000000000000−2i2i2-2-11i−ii−ii−i-11-11000000000000000000000000000000000000000000
χ1224-4-44−4i4i4i−4i-2-2-444i−4i22-222-2−2i2i2i−2i2i−2i2i−2i1−4i4i4-4-1-112-22-2−2i2i2i−2i2i−2i-22-22−ii−ii−2i2i0000000000002i−2i-22-11i−i−ii−ii1-11-1000000000000000000000000000000000000000000
χ12388-8-888-8-8-4-40000-444-44444-444-4-4-4200002-2-2000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-8-888-4-40000-444-444-4-44-4-4444200002-2-200000000000000-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88i−8i8i−8i-4-400004-444-44−4i4i−4i−4i4i4i−4i4i20000-22-2000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8−8i8i−8i8i-4-400004-444-444i−4i4i4i−4i−4i4i−4i20000-22-200000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000

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