Finite Group Databasebeta

← Group #11774664

Character table — Group #11774664

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222444433444466666612121212121212123444466612121212121212121212121212121212121212124444121212121212121212121212121212121212121212121212222444666666888812121212121224242424242424248824242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111-1-1-1111111ii−i−i-1-1-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−ii−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111-1-1-1111111−i−iii-1-1-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii−ii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1ii−i−i111111iiii−i−i−i−ii−iii−i−i−i−iii−ii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1−i−iii111111−i−i−i−iiiii−ii−i−iiiii−i−ii−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-1ii−i−i-1-11111iiii−i−i−i−i−ii−i−iiiii−i−i−ii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-1−i−iii-1-11111−i−i−i−iiiiii−iii−i−i−i−iiii−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1111-1-1-1-11111ii−i−i11-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iiii−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1111-1-1-1-11111−i−iii11-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i−ii
χ172222222222-2-2-2-22222222222222220000222-2-2-2-2-2-2000000002222-2-22222222222220000-2-2-2-200000000-200-200-2-200000000-2-2000000000000000000000000
χ182222222222-2-2-2-22222222222222220000222-2-2-2-2-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000200200220000000022000000000000000000000000
χ19222222222-12222222-1-1-122-1-1-1-122-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-10000-1-1-1-1-1-100000000000000000000
χ20222222222-12222222-1-1-122-1-1-1-122-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111000011111100000000000000000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-2-2-2-2-1-1-122-1-1-1-111111111-1-1-1-1222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111112-2-22-2-2-1-111110000-1-1111100000000000000000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-2-2-2-2-1-1-122-1-1-1-111111111-1-1-1-122-2-2-2-211111111-2-2-2-2-1-1-1-111111111-222-22211-1-1-1-1000011-1-1-1-100000000000000000000
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−i3i3i3-200-20011−i3−i3i3i3000011−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−i3i3i3200200-1-1i3i3−i3−i30000-1-1i3i3−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−i3-200-20011i3i3−i3−i3000011i3i3−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−i3200200-1-1−i3−i3i3i30000-1-1−i3−i3i3i300000000000000000000
χ2722222222-122222-1-1-1222-1-12222-1-1-12222-1-1-1-1-1222222222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002222000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1222-1-12222-1-1-12222-1-1-1-1-1222222222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000011111111-2-21111000000
χ2922222222-122222-1-1-1222-1-12222-1-1-1-2-2-2-2-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000001111-1-1-1-1111111110000000000002222000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1222-1-12222-1-1-1-2-2-2-2-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000001111-1-1-1-111111111000000000000-2-2-2-20000001111111122-1-1-1-1000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-220000222-2-2-2-22200000000-2-2-2-22222-2-22222-2-2-2-20000-2-22200000000-200200-2-20000000022000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-220000222-2-2-2-22200000000-2-2-2-222-2-222-2-2-2-222220000-2-22200000000200-2002200000000-2-2000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-122-2-2-1-1-122-1-111-1-1-1-111111111-2-222-2-2-1-1-1-1111122-2-2-1-111-1-1-1-11111222-2-2-2-1-1-1-1-1-1000011111100000000000000000000
χ342222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-122-2-2-1-1-122-1-111-1-1-1-111111111-2-2-2-2221111-1-1-1-122-2-2-1-111-1-1-1-11111-2-2-22221111110000-1-1-1-1-1-100000000000000000000
χ352222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-2-222-1-1-122-1-1111111-1-1-1-11111-2-222-2-2-1-1-1-11111-2-222-1-1111111-1-1-1-12-2-2-222-1-11111000011-1-1-1-100000000000000000000
χ362222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-2-222-1-1-122-1-1111111-1-1-1-11111-2-2-2-2221111-1-1-1-1-2-222-1-1111111-1-1-1-1-2222-2-211-1-1-1-10000-1-1111100000000000000000000
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−i3-20020011−i3−i3i3i30000-1-1i3i3−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−i3200-200-1-1i3i3−i3−i3000011−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−i3i3i3-20020011i3i3−i3−i30000-1-1−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−i3i3i3200-200-1-1−i3−i3i3i3000011i3i3−i3−i300000000000000000000
χ412222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-122-2-2-1-1-1-1-122-2-22222-2-2-2-2111111000000000000-1-111-1-111-1-1-1-111110000000000002i2i−2i−2i000000−i−i−i−iiiii2i−2i−i−iii000000
χ422222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-122-2-2-1-1-1-1-122-2-22222-2-2-2-2111111000000000000-1-111-1-111-1-1-1-11111000000000000−2i−2i2i2i000000iiii−i−i−i−i−2i2iii−i−i000000
χ432222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-2-222-1-1-1-1-122-2-2-2-2-2-2222211111100000000000011-1-1-1-1111111-1-1-1-10000000000002i2i−2i−2i000000−i−i−i−iiiii−2i2iii−i−i000000
χ442222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-2-222-1-1-1-1-122-2-2-2-2-2-2222211111100000000000011-1-1-1-1111111-1-1-1-1000000000000−2i−2i2i2i000000iiii−i−i−i−i2i−2i−i−iii000000
χ4522-2-22i−2i2i−2i220000-22-22-2-22i−2i2i2i−2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i002i−2i2-22i2i−2i−2i22-2-200000000000000000000000000001+i−1−i1−i−1+i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000001−i−1+i1+i−1−i00
χ4622-2-22i−2i2i−2i220000-22-22-2-22i−2i2i2i−2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i002i−2i2-22i2i−2i−2i22-2-20000000000000000000000000000−1−i1+i−1+i1−i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000−1+i1−i−1−i1+i00
χ4722-2-22i−2i2i−2i220000-22-22-2-22i−2i2i2i−2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i00−2i2i-22−2i−2i2i2i-2-22200000000000000000000000000001+i−1−i1−i−1+i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000−1+i1−i−1−i1+i00
χ4822-2-22i−2i2i−2i220000-22-22-2-22i−2i2i2i−2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i00−2i2i-22−2i−2i2i2i-2-2220000000000000000000000000000−1−i1+i−1+i1−i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000001−i−1+i1+i−1−i00
χ4922-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i−2i2i2i−2i2i20000-22-200000000000000−2i−2i2i2i002i−2i-222i2i−2i−2i-2-22200000000000000000000000000001−i−1+i1+i−1−i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000−1−i1+i−1+i1−i00
χ5022-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i−2i2i2i−2i2i20000-22-200000000000000−2i−2i2i2i002i−2i-222i2i−2i−2i-2-2220000000000000000000000000000−1+i1−i−1−i1+i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000001+i−1−i1−i−1+i00
χ5122-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i−2i2i2i−2i2i20000-22-200000000000000−2i−2i2i2i00−2i2i2-2−2i−2i2i2i22-2-200000000000000000000000000001−i−1+i1+i−1−i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000001+i−1−i1−i−1+i00
χ5222-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i−2i2i2i−2i2i20000-22-200000000000000−2i−2i2i2i00−2i2i2-2−2i−2i2i2i22-2-20000000000000000000000000000−1+i1−i−1−i1+i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000−1−i1+i−1+i1−i00
χ532-22-22i−2i−2i2i222-22i−2i-2-22-22-22i−2i2i−2i2i−2i−2i2i20000-2-222-22-22i−2i000000002i−2i2i−2i2i−2i00000000000000002-22i−2i0000000002-202i−2i002-22-20000002i−2i2i−2i00000000000000000000
χ542-22-22i−2i−2i2i222-22i−2i-2-22-22-22i−2i2i−2i2i−2i−2i2i20000-2-222-22-22i−2i000000002i−2i2i−2i2i−2i00000000000000002-22i−2i000000000-220−2i2i00-22-22000000−2i2i−2i2i00000000000000000000
χ552-22-22i−2i−2i2i22-22−2i2i-2-22-22-22i−2i2i−2i2i−2i−2i2i22-22i−2i-2-22-22-22−2i2i2-22-22i−2i2i−2i2i−2i2i−2i−2i2i0000000000002-22i−2i-22−2i2i2-22-22i−2i2i−2i000000000000000000000000000000000000000000
χ562-22-22i−2i−2i2i22-22−2i2i-2-22-22-22i−2i2i−2i2i−2i−2i2i2-22−2i2i-2-22-22-22−2i2i-22-22−2i2i−2i2i2i−2i2i−2i−2i2i000000000000-22−2i2i-22−2i2i-22-22−2i2i−2i2i000000000000000000000000000000000000000000
χ572-22-22i−2i−2i2i2-12-22i−2i-2-221-112i−2i−ii−ii−2i2i-1000011-12-2-11−ii−i3i3i3−i33−3−33−ii−ii2i−2i0000−i3i3−i3i33−33−30000-11−ii−i3i3i3−i33−3−3302-202i−2i−i3i3-11-1100003−3−ii−ii00000000000000000000
χ582-22-22i−2i−2i2i2-12-22i−2i-2-221-112i−2i−ii−ii−2i2i-1000011-12-2-11−ii−i3i3i3−i33−3−33−ii−ii2i−2i0000i3−i3i3−i3−33−330000-11−ii−i3i3i3−i33−3−330-220−2i2ii3−i31-11-10000−33i−ii−i00000000000000000000
χ592-22-22i−2i−2i2i2-12-22i−2i-2-221-112i−2i−ii−ii−2i2i-1000011-12-2-11−iii3−i3−i3i3−333−3−ii−ii2i−2i0000−i3i3−i3i33−33−30000-11−iii3−i3−i3i3−333−30-220−2i2i−i3i31-11-100003−3i−ii−i00000000000000000000
χ602-22-22i−2i−2i2i2-12-22i−2i-2-221-112i−2i−ii−ii−2i2i-1000011-12-2-11−iii3−i3−i3i3−333−3−ii−ii2i−2i0000i3−i3i3−i3−33−330000-11−iii3−i3−i3i3−333−302-202i−2ii3−i3-11-110000−33−ii−ii00000000000000000000
χ612-22-22i−2i−2i2i2-1-22−2i2i-2-221-112i−2i−ii−ii−2i2i-12-22i−2i11-1-221-1i−i-11-11−ii−ii−ii−ii−2i2i0000−i3i3−i3i33−33−32-22i−2i1-1i−i-11-11−ii−ii000000i3−i3−i3i3i3−i30000−333−3−3300000000000000000000
χ622-22-22i−2i−2i2i2-1-22−2i2i-2-221-112i−2i−ii−ii−2i2i-12-22i−2i11-1-221-1i−i-11-11−ii−ii−ii−ii−2i2i0000i3−i3i3−i3−33−332-22i−2i1-1i−i-11-11−ii−ii000000−i3i3i3−i3−i3i300003−3−333−300000000000000000000
χ632-22-22i−2i−2i2i2-1-22−2i2i-2-221-112i−2i−ii−ii−2i2i-1-22−2i2i11-1-221-1i−i1-11-1i−ii−i−ii−ii−2i2i0000−i3i3−i3i33−33−3-22−2i2i1-1i−i1-11-1i−ii−i000000i3−i3i3−i3−i3i30000−33−333−300000000000000000000
χ642-22-22i−2i−2i2i2-1-22−2i2i-2-221-112i−2i−ii−ii−2i2i-1-22−2i2i11-1-221-1i−i1-11-1i−ii−i−ii−ii−2i2i0000i3−i3i3−i3−33−33-22−2i2i1-1i−i1-11-1i−ii−i000000−i3i3−i3i3i3−i300003−33−3−3300000000000000000000
χ652-22-22i−2i−2i2i-12-22−2i2i11-1-22-2−ii2i−2i2i−2ii−i-12-22i−2i11-11-1-22−2i2i2-22-22i−2i2i−2i−ii−iii−i000000000000-11−ii1-1i−i-11-11−ii−ii0000000000000000000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ662-22-22i−2i−2i2i-12-22−2i2i11-1-22-2−ii2i−2i2i−2ii−i-12-22i−2i11-11-1-22−2i2i2-22-22i−2i2i−2i−ii−iii−i000000000000-11−ii1-1i−i-11-11−ii−ii0000000000000000000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ672-22-22i−2i−2i2i-12-22−2i2i11-1-22-2−ii2i−2i2i−2ii−i-1-22−2i2i11-11-1-22−2i2i-22-22−2i2i−2i2i−ii−iii−i0000000000001-1i−i1-1i−i1-11-1i−ii−i0000000000000000000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ682-22-22i−2i−2i2i-12-22−2i2i11-1-22-2−ii2i−2i2i−2ii−i-1-22−2i2i11-11-1-22−2i2i-22-22−2i2i−2i2i−ii−iii−i0000000000001-1i−i1-1i−i1-11-1i−ii−i0000000000000000000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ692-22-2−2i2i2i−2i222-2−2i2i-2-22-22-2−2i2i−2i2i−2i2i2i−2i20000-2-222-22-2−2i2i00000000−2i2i−2i2i−2i2i00000000000000002-2−2i2i0000000002-20−2i2i002-22-2000000−2i2i−2i2i00000000000000000000
χ702-22-2−2i2i2i−2i222-2−2i2i-2-22-22-2−2i2i−2i2i−2i2i2i−2i20000-2-222-22-2−2i2i00000000−2i2i−2i2i−2i2i00000000000000002-2−2i2i000000000-2202i−2i00-22-220000002i−2i2i−2i00000000000000000000
χ712-22-2−2i2i2i−2i22-222i−2i-2-22-22-2−2i2i−2i2i−2i2i2i−2i22-2−2i2i-2-22-22-222i−2i2-22-2−2i2i−2i2i−2i2i−2i2i2i−2i0000000000002-2−2i2i-222i−2i2-22-2−2i2i−2i2i000000000000000000000000000000000000000000
χ722-22-2−2i2i2i−2i22-222i−2i-2-22-22-2−2i2i−2i2i−2i2i2i−2i2-222i−2i-2-22-22-222i−2i-22-222i−2i2i−2i−2i2i−2i2i2i−2i000000000000-222i−2i-222i−2i-22-222i−2i2i−2i000000000000000000000000000000000000000000
χ732-22-2−2i2i2i−2i2-12-2−2i2i-2-221-11−2i2ii−ii−i2i−2i-1000011-12-2-11i−i−i3i3i3−i3−333−3i−ii−i−2i2i0000−i3i3−i3i3−33−330000-11i−i−i3i3i3−i3−333−302-20−2i2i−i3i3-11-110000−33i−ii−i00000000000000000000
χ742-22-2−2i2i2i−2i2-12-2−2i2i-2-221-11−2i2ii−ii−i2i−2i-1000011-12-2-11i−i−i3i3i3−i3−333−3i−ii−i−2i2i0000i3−i3i3−i33−33−30000-11i−i−i3i3i3−i3−333−30-2202i−2ii3−i31-11-100003−3−ii−ii00000000000000000000
χ752-22-2−2i2i2i−2i2-12-2−2i2i-2-221-11−2i2ii−ii−i2i−2i-1000011-12-2-11i−ii3−i3−i3i33−3−33i−ii−i−2i2i0000−i3i3−i3i3−33−330000-11i−ii3−i3−i3i33−3−330-2202i−2i−i3i31-11-10000−33−ii−ii00000000000000000000
χ762-22-2−2i2i2i−2i2-12-2−2i2i-2-221-11−2i2ii−ii−i2i−2i-1000011-12-2-11i−ii3−i3−i3i33−3−33i−ii−i−2i2i0000i3−i3i3−i33−33−30000-11i−ii3−i3−i3i33−3−3302-20−2i2ii3−i3-11-1100003−3i−ii−i00000000000000000000
χ772-22-2−2i2i2i−2i2-1-222i−2i-2-221-11−2i2ii−ii−i2i−2i-12-2−2i2i11-1-221-1−ii-11-11i−ii−ii−ii−i2i−2i0000−i3i3−i3i3−33−332-2−2i2i1-1−ii-11-11i−ii−i000000i3−i3−i3i3i3−i300003−3−333−300000000000000000000
χ782-22-2−2i2i2i−2i2-1-222i−2i-2-221-11−2i2ii−ii−i2i−2i-12-2−2i2i11-1-221-1−ii-11-11i−ii−ii−ii−i2i−2i0000i3−i3i3−i33−33−32-2−2i2i1-1−ii-11-11i−ii−i000000−i3i3i3−i3−i3i30000−333−3−3300000000000000000000
χ792-22-2−2i2i2i−2i2-1-222i−2i-2-221-11−2i2ii−ii−i2i−2i-1-222i−2i11-1-221-1−ii1-11-1−ii−iii−ii−i2i−2i0000−i3i3−i3i3−33−33-222i−2i1-1−ii1-11-1−ii−ii000000i3−i3i3−i3−i3i300003−33−3−3300000000000000000000
χ802-22-2−2i2i2i−2i2-1-222i−2i-2-221-11−2i2ii−ii−i2i−2i-1-222i−2i11-1-221-1−ii1-11-1−ii−iii−ii−i2i−2i0000i3−i3i3−i33−33−3-222i−2i1-1−ii1-11-1−ii−ii000000−i3i3−i3i3i3−i30000−33−333−300000000000000000000
χ812-22-2−2i2i2i−2i-12-222i−2i11-1-22-2i−i−2i2i−2i2i−ii-12-2−2i2i11-11-1-222i−2i2-22-2−2i2i−2i2ii−ii−i−ii000000000000-11i−i1-1−ii-11-11i−ii−i0000000000000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ822-22-2−2i2i2i−2i-12-222i−2i11-1-22-2i−i−2i2i−2i2i−ii-12-2−2i2i11-11-1-222i−2i2-22-2−2i2i−2i2ii−ii−i−ii000000000000-11i−i1-1−ii-11-11i−ii−i0000000000000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ832-22-2−2i2i2i−2i-12-222i−2i11-1-22-2i−i−2i2i−2i2i−ii-1-222i−2i11-11-1-222i−2i-22-222i−2i2i−2ii−ii−i−ii0000000000001-1−ii1-1−ii1-11-1−ii−ii0000000000000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ842-22-2−2i2i2i−2i-12-222i−2i11-1-22-2i−i−2i2i−2i2i−ii-1-222i−2i11-11-1-222i−2i-22-222i−2i2i−2ii−ii−i−ii0000000000001-1−ii1-1−ii1-11-1−ii−ii0000000000000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−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
χ9544-4-44i−4i4i−4i4-20000-44-4-2224i−4i−2i−2i2i2i4i−4i-200002-2200000000000000−2i−2i2i2i004i−4i4-4−2i−2i2i2i-2-2220000000000000000000000000000000000000000000000000000000000
χ9644-4-44i−4i4i−4i4-20000-44-4-2224i−4i−2i−2i2i2i4i−4i-200002-2200000000000000−2i−2i2i2i00−4i4i-442i2i−2i−2i22-2-20000000000000000000000000000000000000000000000000000000000
χ9744-4-44i−4i4i−4i-2400002-224-4-4−2i2i4i4i−4i−4i−2i2i-200002-2200000000000000−2i−2i2i2i0000000000000000000000000000000000000000002+2i−2−2i2−2i−2+2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000
χ9844-4-44i−4i4i−4i-2400002-224-4-4−2i2i4i4i−4i−4i−2i2i-200002-2200000000000000−2i−2i2i2i000000000000000000000000000000000000000000−2−2i2+2i−2+2i2−2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000
χ9944-4-4−4i4i−4i4i4-20000-44-4-222−4i4i2i2i−2i−2i−4i4i-200002-22000000000000002i2i−2i−2i004i−4i-44−2i−2i2i2i22-2-20000000000000000000000000000000000000000000000000000000000
χ10044-4-4−4i4i−4i4i4-20000-44-4-222−4i4i2i2i−2i−2i−4i4i-200002-22000000000000002i2i−2i−2i00−4i4i4-42i2i−2i−2i-2-2220000000000000000000000000000000000000000000000000000000000
χ10144-4-4−4i4i−4i4i-2400002-224-4-42i−2i−4i−4i4i4i2i−2i-200002-22000000000000002i2i−2i−2i0000000000000000000000000000000000000000002−2i−2+2i2+2i−2−2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000
χ10244-4-4−4i4i−4i4i-2400002-224-4-42i−2i−4i−4i4i4i2i−2i-200002-22000000000000002i2i−2i−2i000000000000000000000000000000000000000000−2+2i2−2i−2−2i2+2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000
χ1034-44-44i−4i−4i4i-244-44i−4i22-2-44-4−2i2i4i−4i4i−4i2i−2i-2000022-2-224-44i−4i00000000−2i2i−2i2i−2i2i0000000000000000-22−2i2i00000000000000000000000000000000000000000000000000
χ1044-44-44i−4i−4i4i-2-24-44i−4i22-22-22−2i2i−2i2i−2i2i2i−2i10000-1-11-22-22−2i2i−2i32i32i3−2i323−23−2323i−ii−i−2i2i00000000000000001-1i−ii3−i3−i3i3−333−3000000000000000000000000000000000000000000
χ1054-44-44i−4i−4i4i-2-24-44i−4i22-22-22−2i2i−2i2i−2i2i2i−2i10000-1-11-22-22−2i2i2i3−2i3−2i32i3−232323−23i−ii−i−2i2i00000000000000001-1i−i−i3i3i3−i33−3−33000000000000000000000000000000000000000000
χ1064-44-44i−4i−4i4i-2-2-44−4i4i22-22-22−2i2i−2i2i−2i2i2i−2i14-44i−4i-1-112-22-22i−2i-22-22−2i2i−2i2ii−ii−i2i−2i000000000000-22−2i2i-11−ii1-11-1i−ii−i000000000000000000000000000000000000000000
χ1074-44-44i−4i−4i4i-2-2-44−4i4i22-22-22−2i2i−2i2i−2i2i2i−2i1-44−4i4i-1-112-22-22i−2i2-22-22i−2i2i−2ii−ii−i2i−2i0000000000002-22i−2i-11−ii-11-11−ii−ii000000000000000000000000000000000000000000
χ1084-44-4−4i4i4i−4i-244-4−4i4i22-2-44-42i−2i−4i4i−4i4i−2i2i-2000022-2-224-4−4i4i000000002i−2i2i−2i2i−2i0000000000000000-222i−2i00000000000000000000000000000000000000000000000000
χ1094-44-4−4i4i4i−4i-2-24-4−4i4i22-22-222i−2i2i−2i2i−2i−2i2i10000-1-11-22-222i−2i−2i32i32i3−2i3−232323−23−ii−ii2i−2i00000000000000001-1−iii3−i3−i3i33−3−33000000000000000000000000000000000000000000
χ1104-44-4−4i4i4i−4i-2-24-4−4i4i22-22-222i−2i2i−2i2i−2i−2i2i10000-1-11-22-222i−2i2i3−2i3−2i32i323−23−2323−ii−ii2i−2i00000000000000001-1−ii−i3i3i3−i3−333−3000000000000000000000000000000000000000000
χ1114-44-4−4i4i4i−4i-2-2-444i−4i22-22-222i−2i2i−2i2i−2i−2i2i14-4−4i4i-1-112-22-2−2i2i-22-222i−2i2i−2i−ii−ii−2i2i000000000000-222i−2i-11i−i1-11-1−ii−ii000000000000000000000000000000000000000000
χ1124-44-4−4i4i4i−4i-2-2-444i−4i22-22-222i−2i2i−2i2i−2i−2i2i1-444i−4i-1-112-22-2−2i2i2-22-2−2i2i−2i2i−ii−ii−2i2i0000000000002-2−2i2i-11i−i-11-11i−ii−i000000000000000000000000000000000000000000
χ1134-4-4444-4-44400004-4-4-4-44444-4-44-4-4400004-4-4000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-4444-4-44-200004-4-422-244-222-2-4-4-20000-22200000000000000-222-200000023−23−2323−232323−230000000000000000000000000000000000000000000000000000000000
χ1154-4-4444-4-44-200004-4-422-244-222-2-4-4-20000-22200000000000000-222-2000000−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000
χ1164-4-4444-4-4-240000-222-4-44-2-24-4-4422-20000-22200000000000000-222-20000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000
χ1174-4-4444-4-4-240000-222-4-44-2-24-4-4422-20000-22200000000000000-222-20000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000
χ1184-4-44-4-4444400004-4-4-4-44-4-4-444-444400004-4-400000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-44-4-4444-200004-4-422-2-4-42-2-2244-20000-222000000000000002-2-2200000023−23−232323−23−23230000000000000000000000000000000000000000000000000000000000
χ1204-4-44-4-4444-200004-4-422-2-4-42-2-2244-20000-222000000000000002-2-22000000−232323−23−232323−230000000000000000000000000000000000000000000000000000000000
χ1214-4-44-4-444-240000-222-4-4422-444-4-2-2-20000-222000000000000002-2-2200000000000000000000000000000000000000000000000000006−6−666−6−66000000000000
χ1224-4-44-4-444-240000-222-4-4422-444-4-2-2-20000-222000000000000002-2-220000000000000000000000000000000000000000000000000000−666−6−666−6000000000000
χ12388-8-88i−8i8i−8i-4-400004-44-444−4i4i−4i−4i4i4i−4i4i20000-22-2000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8−8i8i−8i8i-4-400004-44-4444i−4i4i4i−4i−4i4i−4i20000-22-200000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-8888-8-8-4-40000-44444-4-4-4-444-444200002-2-2000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-8-888-4-40000-44444-4444-4-44-4-4200002-2-200000000000000-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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