Finite Group Databasebeta

← Group #10690030

Character table — Group #10690030

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order12224444223444444666666612121212121212122244448888888812121212121212122424242424242424242424242424242424444466661212121212121212121212128888888888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ611111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-1-1-1-1-1111-1-111-1-111-1-111111-1-1-1-111-1-11-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−ii−iii−i−i11-1-11-1
χ101111-1-1-1-1-1-1111-1-111-1-111-1-111111-1-1-1-111-1-11-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11ii−i−i11-1-1iiii−i−i−i−i11-1-1−i−iii−ii−i−iii-1-111-11
χ111111-1-1-1-1-1-1111-1-111-1-111-1-111111-1-1-1-111-1-11-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11−i−iii11-1-1−i−i−i−iiiii11-1-1ii−i−ii−iii−i−i-1-111-11
χ121111-1-1-1-1-1-1111-1-111-1-111-1-111111-1-1-1-111-1-11-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii−ii−i−iii11-1-11-1
χ131111-1-1-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1-1-1111-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1−i−iii-1-111−i−i−i−iiiii-1-111ii−i−ii−i−i−iii11-1-1-11
χ141111-1-1-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1-1-1111-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1−i−iii-1-111−i−i−i−iiiii-1-111−i−iii−iiii−i−i-1-1111-1
χ151111-1-1-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1-1-1111-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1ii−i−i-1-111iiii−i−i−i−i-1-111ii−i−ii−i−i−iii-1-1111-1
χ161111-1-1-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1-1-1111-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1ii−i−i-1-111iiii−i−i−i−i-1-111−i−iii−iiii−i−i11-1-1-11
χ172222222222222-2-2-2-22222222222222220000-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-2-20000000000
χ182222222222222-2-2-2-22222222222222220000-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2220000000000
χ192222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ212222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222221111-1-1-1-1-1-1-1-111110000000000000000
χ2322222222-2-22-2-22222-2-222-2-22-2-2-2-222222222-2-20000000022-2-222-2-20000000000000000-2-2000022-2-200000000-2-2220000000000000000
χ2422222222-2-22-2-22222-2-222-2-22-2-2-2-22222-2-2-2-2-2-20000000022-2-222-2-20000000000000000220000-2-2220000000022-2-20000000000000000
χ2522222222-2-22-2-2-2-2-2-2-2-222-2-22-2-2-2-2222200002200000000-2-222-2-222000000000000000000000000000000000000000000002-22-2000000
χ2622222222-2-22-2-2-2-2-2-2-2-222-2-22-2-2-2-2222200002200000000-2-222-2-22200000000000000000000000000000000000000000000-22-22000000
χ2722222222-2-2-1-2-2222211-1-111-11111-1-1-1-12222-2-200000000-1-111-1-1113333−3−3−3−33333−3−3−3−3-2-20000-1-11133−3−333−3−311-1-10000000000000000
χ2822222222-2-2-1-2-2222211-1-111-11111-1-1-1-12222-2-200000000-1-111-1-111−3−3−3−33333−3−3−3−33333-2-20000-1-111−3−333−3−33311-1-10000000000000000
χ2922222222-2-2-1-2-2222211-1-111-11111-1-1-1-1-2-2-2-2-2-200000000-1-111-1-1113333−3−3−3−33333−3−3−3−322000011-1-1−3−333−3−333-1-1110000000000000000
χ3022222222-2-2-1-2-2222211-1-111-11111-1-1-1-1-2-2-2-2-2-200000000-1-111-1-111−3−3−3−33333−3−3−3−3333322000011-1-133−3−333−3−3-1-1110000000000000000
χ312222-2-2-2-2222-2-222-2-22222222-2-2-2-2-2-2-2-200002-200000000-2-22222-2-2000000000000000000000000000000000000000000002i−2i−2i2i000000
χ322222-2-2-2-2222-2-222-2-22222222-2-2-2-2-2-2-2-200002-200000000-2-22222-2-200000000000000000000000000000000000000000000−2i2i2i−2i000000
χ332222-2-2-2-2222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-2-220000000022-2-2-2-22200000000000000002-20000222200000000-2-2-2-20000000000000000
χ342222-2-2-2-2222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-222-220000000022-2-2-2-2220000000000000000-220000-2-2-2-20000000022220000000000000000
χ352222-2-2-2-222-1-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-2200000000-1-11111-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32-20000-1-1-1-1−i3−i3i3i3i3i3−i3−i311110000000000000000
χ362222-2-2-2-222-1-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-2200000000-1-11111-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32-20000-1-1-1-1i3i3−i3−i3−i3−i3i3i311110000000000000000
χ372222-2-2-2-222-1-2-2-2-222-1-1-1-1-1-1-111111111-2-222-2200000000-1-11111-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2200001111i3i3−i3−i3−i3−i3i3i3-1-1-1-10000000000000000
χ382222-2-2-2-222-1-2-2-2-222-1-1-1-1-1-1-111111111-2-222-2200000000-1-11111-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2200001111−i3−i3i3i3i3i3−i3−i3-1-1-1-10000000000000000
χ392222-2-2-2-2-2-222222-2-2-2-222-2-222222-2-2-2-20000-2200000000-2-2-2-22222000000000000000000000000000000000000002i2i−2i−2i−2i2i0000000000
χ402222-2-2-2-2-2-222222-2-2-2-222-2-222222-2-2-2-20000-2200000000-2-2-2-2222200000000000000000000000000000000000000−2i−2i2i2i2i−2i0000000000
χ412222-2-2-2-2-2-2-122-2-22211-1-111-1-1-1-1-1111122-2-22-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-222i2i−2i−2i-1-111−i−i−i−iiiii-1-1110000000000000000
χ422222-2-2-2-2-2-2-122-2-22211-1-111-1-1-1-1-1111122-2-22-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-22−2i−2i2i2i-1-111iiii−i−i−i−i-1-1110000000000000000
χ432222-2-2-2-2-2-2-122-2-22211-1-111-1-1-1-1-11111-2-2222-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii2-2−2i−2i2i2i11-1-1iiii−i−i−i−i11-1-10000000000000000
χ442222-2-2-2-2-2-2-122-2-22211-1-111-1-1-1-1-11111-2-2222-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i2-22i2i−2i−2i11-1-1−i−i−i−iiiii11-1-10000000000000000
χ4522-2-222-2-2-2222-20000-2-2-2-222222-2-222-2-200000022−2−222−2−20000000022−2−222−2−222−2−222−2−200000000000000000000002i−2i2i−2i000000−i2i2−i2i200
χ4622-2-222-2-2-2222-20000-2-2-2-222222-2-222-2-200000022−2−222−2−20000000022−2−222−2−222−2−222−2−20000000000000000000000−2i2i−2i2i000000i2−i2i2−i200
χ4722-2-222-2-2-2222-20000-2-2-2-222222-2-222-2-2000000−2−222−2−22200000000−2−222−2−222−2−222−2−22200000000000000000000002i−2i2i−2i000000i2−i2i2−i200
χ4822-2-222-2-2-2222-20000-2-2-2-222222-2-222-2-2000000−2−222−2−22200000000−2−222−2−222−2−222−2−2220000000000000000000000−2i2i−2i2i000000−i2i2−i2i200
χ4922-2-2-2-2222-222-2000022-2-2-2-2222-2-2-2-222000000−i2−i2i2i2i2i2−i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000002-2-22000000−i2i2i2−i200
χ5022-2-2-2-2222-222-2000022-2-2-2-2222-2-2-2-222000000−i2−i2i2i2i2i2−i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000000000-222-2000000i2−i2−i2i200
χ5122-2-2-2-2222-222-2000022-2-2-2-2222-2-2-2-222000000i2i2−i2−i2−i2−i2i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000002-2-22000000i2−i2−i2i200
χ5222-2-2-2-2222-222-2000022-2-2-2-2222-2-2-2-222000000i2i2−i2−i2−i2−i2i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000000000-222-2000000−i2i2i2−i200
χ532-22-22i−2i2i−2i002002i−2i2-2002-200-200002i−2i2i−2i2-22i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i2-2002i−2i001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i001+i−1−i1−i−1+i2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i0000000000000000
χ542-22-22i−2i2i−2i002002i−2i2-2002-200-200002i−2i2i−2i2-22i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-2002i−2i00−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00−1−i1+i−1+i1−i2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i0000000000000000
χ552-22-22i−2i2i−2i002002i−2i2-2002-200-200002i−2i2i−2i-22−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i2-2002i−2i001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00−1−i1+i−1+i1−i-2200−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2i2i0000000000000000
χ562-22-22i−2i2i−2i002002i−2i2-2002-200-200002i−2i2i−2i-22−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-2002i−2i00−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i001+i−1−i1−i−1+i-22001+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2i2i0000000000000000
χ572-22-22i−2i2i−2i00-1002i−2i2-2−i3i3-11−i3i313−33−3−ii−ii2-22i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i-113−3−ii−i3i3−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14001+i−1−i1−i−1+i-11−i3i3−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ143−3−ii0000000000000000
χ582-22-22i−2i2i−2i00-1002i−2i2-2−i3i3-11−i3i313−33−3−ii−ii2-22i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i-113−3−ii−i3i3ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ1400−1−i1+i−1+i1−i-11−i3i3ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ143−3−ii0000000000000000
χ592-22-22i−2i2i−2i00-1002i−2i2-2−i3i3-11−i3i313−33−3−ii−ii-22−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i-113−3−ii−i3i3−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ1400−1−i1+i−1+i1−i1-1i3−i3ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−33i−i0000000000000000
χ602-22-22i−2i2i−2i00-1002i−2i2-2−i3i3-11−i3i313−33−3−ii−ii-22−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i-113−3−ii−i3i3ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14001+i−1−i1−i−1+i1-1i3−i3−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−33i−i0000000000000000
χ612-22-22i−2i2i−2i00-1002i−2i2-2i3−i3-11i3−i31−33−33−ii−ii2-22i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i-11−33−iii3−i3−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22001+i−1−i1−i−1+i-11i3−i3−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−33−ii0000000000000000
χ622-22-22i−2i2i−2i00-1002i−2i2-2i3−i3-11i3−i31−33−33−ii−ii2-22i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i-11−33−iii3−i3ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ2200−1−i1+i−1+i1−i-11i3−i3ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22−33−ii0000000000000000
χ632-22-22i−2i2i−2i00-1002i−2i2-2i3−i3-11i3−i31−33−33−ii−ii-22−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i-11−33−iii3−i3−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ2200−1−i1+i−1+i1−i1-1−i3i3ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ223−3i−i0000000000000000
χ642-22-22i−2i2i−2i00-1002i−2i2-2i3−i3-11i3−i31−33−33−ii−ii-22−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i-11−33−iii3−i3ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22001+i−1−i1−i−1+i1-1−i3i3−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ223−3i−i0000000000000000
χ652-22-2−2i2i−2i2i00200−2i2i2-2002-200-20000−2i2i−2i2i2-2−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i2-200−2i2i001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i001−i−1+i1+i−1−i2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i0000000000000000
χ662-22-2−2i2i−2i2i00200−2i2i2-2002-200-20000−2i2i−2i2i2-2−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-200−2i2i00−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00−1+i1−i−1−i1+i2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i0000000000000000
χ672-22-2−2i2i−2i2i00200−2i2i2-2002-200-20000−2i2i−2i2i-222i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i2-200−2i2i001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00−1+i1−i−1−i1+i-2200−1+i1−i−1+i1−i−1−i1+i−1−i1+i002i−2i0000000000000000
χ682-22-2−2i2i−2i2i00200−2i2i2-2002-200-20000−2i2i−2i2i-222i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-200−2i2i00−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i001−i−1+i1+i−1−i-22001−i−1+i1−i−1+i1+i−1−i1+i−1−i002i−2i0000000000000000
χ692-22-2−2i2i−2i2i00-100−2i2i2-2−i3i3-11−i3i31−33−33i−ii−i2-2−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i-11−33i−i−i3i3−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14001−i−1+i1+i−1−i-11−i3i3−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−33i−i0000000000000000
χ702-22-2−2i2i−2i2i00-100−2i2i2-2−i3i3-11−i3i31−33−33i−ii−i2-2−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i-11−33i−i−i3i3ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ1400−1+i1−i−1−i1+i-11−i3i3ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14−33i−i0000000000000000
χ712-22-2−2i2i−2i2i00-100−2i2i2-2−i3i3-11−i3i31−33−33i−ii−i-222i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i-11−33i−i−i3i3−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ1400−1+i1−i−1−i1+i1-1i3−i3ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ143−3−ii0000000000000000
χ722-22-2−2i2i−2i2i00-100−2i2i2-2−i3i3-11−i3i31−33−33i−ii−i-222i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i-11−33i−i−i3i3ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14001−i−1+i1+i−1−i1-1i3−i3−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ143−3−ii0000000000000000
χ732-22-2−2i2i−2i2i00-100−2i2i2-2i3−i3-11i3−i313−33−3i−ii−i2-2−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i-113−3i−ii3−i3−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22001−i−1+i1+i−1−i-11i3−i3−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ223−3i−i0000000000000000
χ742-22-2−2i2i−2i2i00-100−2i2i2-2i3−i3-11i3−i313−33−3i−ii−i2-2−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i-113−3i−ii3−i3ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ2200−1+i1−i−1−i1+i-11i3−i3ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ223−3i−i0000000000000000
χ752-22-2−2i2i−2i2i00-100−2i2i2-2i3−i3-11i3−i313−33−3i−ii−i-222i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i-113−3i−ii3−i3−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ2200−1+i1−i−1−i1+i1-1−i3i3ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−33−ii0000000000000000
χ762-22-2−2i2i−2i2i00-100−2i2i2-2i3−i3-11i3−i313−33−3i−ii−i-222i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i-113−3i−ii3−i3ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22001−i−1+i1+i−1−i1-1−i3i3−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−33−ii0000000000000000
χ774444444444-244-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-4-40000000022222222000000000000000000000000000000000000000000000000000000
χ7844444444-4-4-2-4-4-4-4-4-422-2-222-22222-2-2-2-20000440000000022-2-222-2-2000000000000000000000000000000000000000000000000000000
χ794444-4-4-4-444-2-4-444-4-4-2-2-2-2-2-2-22222222200004-40000000022-2-2-2-222000000000000000000000000000000000000000000000000000000
χ804444-4-4-4-4-4-4-24444-4-422-2-222-2-2-2-2-222220000-44000000002222-2-2-2-2000000000000000000000000000000000000000000000000000000
χ8144-4-444-4-44-44-44000044-4-4-4-44-4-44444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-44-4-2-440000-2-22222-222-2-2-2-222000000000000000000000066−6−6−6−66666−6−6−6−66600000000000000000000000000000000000000
χ8344-4-444-4-44-4-2-440000-2-22222-222-2-2-2-2220000000000000000000000−6−66666−6−6−6−66666−6−600000000000000000000000000000000000000
χ8444-4-444-4-4-44-24-400002222-2-2-2-2-222-2-2220000002222−22−222222−22−2200000000−2−222−2−222−2−222−2−22200000000000000000000000000000000000000
χ8544-4-444-4-4-44-24-400002222-2-2-2-2-222-2-222000000−22−222222−22−2222220000000022−2−222−2−222−2−222−2−200000000000000000000000000000000000000
χ8644-4-4-4-4444-4-24-40000-2-22222-2-2-22222-2-2000000−2i2−2i22i22i22i22i2−2i2−2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ8744-4-4-4-4444-4-24-40000-2-22222-2-2-22222-2-20000002i22i2−2i2−2i2−2i2−2i22i22i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ8844-4-4-4-444-444-440000-4-4-4-4444-4-444-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-444-44-2-4400002222-2-2-222-2-222-2-20000000000000000000000i6i6−i6−i6−i6−i6i6i6−i6−i6i6i6i6i6−i6−i600000000000000000000000000000000000000
χ9044-4-4-4-444-44-2-4400002222-2-2-222-2-222-2-20000000000000000000000−i6−i6i6i6i6i6−i6−i6i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000000000
χ914-44-44i−4i4i−4i00400−4i4i-44004-400-400004i−4i4i−4i00000000000000-4400−4i4i00000000000000000000000000000000000000000000000000000000
χ924-44-44i−4i4i−4i00-200−4i4i-44−2i32i3-22−2i32i3223−2323−23−2i2i−2i2i000000000000002-2−23232i−2i2i3−2i3000000000000000000000000000000000000000000000000000000
χ934-44-44i−4i4i−4i00-200−4i4i-442i3−2i3-222i3−2i32−2323−2323−2i2i−2i2i000000000000002-223−232i−2i−2i32i3000000000000000000000000000000000000000000000000000000
χ944-44-4−4i4i−4i4i004004i−4i-44004-400-40000−4i4i−4i4i00000000000000-44004i−4i00000000000000000000000000000000000000000000000000000000
χ954-44-4−4i4i−4i4i00-2004i−4i-44−2i32i3-22−2i32i32−2323−23232i−2i2i−2i000000000000002-223−23−2i2i2i3−2i3000000000000000000000000000000000000000000000000000000
χ964-44-4−4i4i−4i4i00-2004i−4i-442i3−2i3-222i3−2i3223−2323−232i−2i2i−2i000000000000002-2−2323−2i2i−2i32i3000000000000000000000000000000000000000000000000000000
χ974-4-444i−4i−4i4i00400000000-4400-400004i−4i−4i4i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000000000
χ984-4-444i−4i−4i4i00400000000-4400-400004i−4i−4i4i000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000000000
χ994-4-444i−4i−4i4i00-2000000−2i32i32-22i3−2i32−232323−23−2i2i2i−2i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ2300000000000000000000000000000000000000
χ1004-4-444i−4i−4i4i00-2000000−2i32i32-22i3−2i32−232323−23−2i2i2i−2i000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ2300000000000000000000000000000000000000
χ1014-4-444i−4i−4i4i00-20000002i3−2i32-2−2i32i3223−23−2323−2i2i2i−2i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ2300000000000000000000000000000000000000
χ1024-4-444i−4i−4i4i00-20000002i3−2i32-2−2i32i3223−23−2323−2i2i2i−2i000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ2300000000000000000000000000000000000000
χ1034-4-44−4i4i4i−4i00400000000-4400-40000−4i4i4i−4i000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000
χ1044-4-44−4i4i4i−4i00400000000-4400-40000−4i4i4i−4i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000
χ1054-4-44−4i4i4i−4i00-2000000−2i32i32-22i3−2i3223−23−23232i−2i−2i2i000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ2300000000000000000000000000000000000000
χ1064-4-44−4i4i4i−4i00-2000000−2i32i32-22i3−2i3223−23−23232i−2i−2i2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ2300000000000000000000000000000000000000
χ1074-4-44−4i4i4i−4i00-20000002i3−2i32-2−2i32i32−232323−232i−2i−2i2i000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ2300000000000000000000000000000000000000
χ1084-4-44−4i4i4i−4i00-20000002i3−2i32-2−2i32i32−232323−232i−2i−2i2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ2300000000000000000000000000000000000000

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