Finite Group Databasebeta

← Group #13167375

Character table — Group #13167375

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222444444448888888888888888888899991818181818181818181818181818181818181818181818181818181818181818181836363636363636367272727272727272
order124436881212242424243366121212123366121212122424242424242424242424248888244444668888121212121212121212122424242424242424242424242244888866121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-11-11-111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-111
χ5111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111-11-1-1-111
χ6111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11-1111-1-1
χ7111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ8111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ911-1-111i−i-1-1ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i-1ii−i−i1-1-111-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-111-1-1i−ii−i11-1-1i−ii−i
χ1011-1-111i−i-1-1ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i-1ii−i−i1-1-111-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-1-1-111−ii−ii-1-111−ii−ii
χ1111-1-111i−i-1-1ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i-1−i−iii1-1-1-1-111−i−i−i−iiiii11ii−i−i-1-1-1-111111-1-11i−i−ii1-1-11i−i−ii
χ1211-1-111i−i-1-1ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i-1−i−iii1-1-1-1-111−i−i−i−iiiii11ii−i−i-1-1-1-11111-111-1−iii−i-111-1−iii−i
χ1311-1-111−ii-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−iii-1ii−i−i1-1-1-1-111iiii−i−i−i−i11−i−iii-1-1-1-111111-1-11−iii−i1-1-11−iii−i
χ1411-1-111−ii-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−iii-1ii−i−i1-1-1-1-111iiii−i−i−i−i11−i−iii-1-1-1-11111-111-1i−i−ii-111-1i−i−ii
χ1511-1-111−ii-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−iii-1−i−iii1-1-111-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-111-1-1−ii−ii11-1-1−ii−ii
χ1611-1-111−ii-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−iii-1−i−iii1-1-111-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-1-1-111i−ii−i-1-111i−ii−i
χ17222222222222222222222222222222222222222222-2-2-2-2-20000-2-2-2000000000000-2-2-2-2-2-2000000000000000000000000
χ18222222-2-222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-20000-2-2-2000000000000-2-22222000000000000000000000000
χ192222-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222-2-2-2-22-1-1-2-2-2-211111111-1-1-1-1-1-1111111110000000000000000
χ212222-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-20000-211000033−3−333−3−311111133−3−333−3−30000000000000000
χ222222-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-20000-2110000−3−333−3−333111111−3−333−3−3330000000000000000
χ232222-1-1-2-2-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-2111111112222-20000-211000033−3−333−3−311-1-1-1-1−3−333−3−3330000000000000000
χ242222-1-1-2-2-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-2111111112222-20000-2110000−3−333−3−33311-1-1-1-133−3−333−3−30000000000000000
χ252222-1-1-2-2-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111110000000000000000
χ262222-1-1-2-2-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-22-2-2-2-22-1-1222211111111-1-11111-1-1-1-1-1-1-1-10000000000000000
χ2722-2-2222i−2i-2-22i2i−2i−2i2222-2-2-2-22222-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i20000-222000000000000-2-2−2i−2i2i2i000000000000000000000000
χ2822-2-222−2i2i-2-2−2i−2i2i2i2222-2-2-2-22222-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i20000-222000000000000-2-22i2i−2i−2i000000000000000000000000
χ2922-2-2-1-12i−2i11−i−iii2222-2-2-2-2-1-1-1-111112i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i-22i2i−2i−2i21122-2-2−i−i−i−iiiii-1-1−i−iii-1-1-1-111110000000000000000
χ3022-2-2-1-12i−2i11−i−iii2222-2-2-2-2-1-1-1-111112i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i-2−2i−2i2i2i211-2-222iiii−i−i−i−i-1-1−i−iii1111-1-1-1-10000000000000000
χ3122-2-2-1-12i−2i11−i−iii2222-2-2-2-2-1-1-1-111112i2i−2i−2i−i−i−i−iiiii−2i−2i2i2i20000-2-1-10000−i3−i3i3i3i3i3−i3−i311ii−i−i−3−33333−3−30000000000000000
χ3222-2-2-1-12i−2i11−i−iii2222-2-2-2-2-1-1-1-111112i2i−2i−2i−i−i−i−iiiii−2i−2i2i2i20000-2-1-10000i3i3−i3−i3−i3−i3i3i311ii−i−i33−3−3−3−3330000000000000000
χ3322-2-2-1-1−2i2i11ii−i−i2222-2-2-2-2-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i2i2i−2i−2i20000-2-1-10000−i3−i3i3i3i3i3−i3−i311−i−iii33−3−3−3−3330000000000000000
χ3422-2-2-1-1−2i2i11ii−i−i2222-2-2-2-2-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i2i2i−2i−2i20000-2-1-10000i3i3−i3−i3−i3−i3i3i311−i−iii−3−33333−3−30000000000000000
χ3522-2-2-1-1−2i2i11ii−i−i2222-2-2-2-2-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i-22i2i−2i−2i211-2-222−i−i−i−iiiii-1-1ii−i−i1111-1-1-1-10000000000000000
χ3622-2-2-1-1−2i2i11ii−i−i2222-2-2-2-2-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i-2−2i−2i2i2i21122-2-2iiii−i−i−i−i-1-1ii−i−i-1-1-1-111110000000000000000
χ372-22i−2i2-2002i−2i000022-2-22i2i−2i−2i22-2-22i2i−2i−2i000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2301−i−1+i1+i−1−i0002−2−i2i21−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232−22−2−i2i2−i2i20000000000000000
χ382-22i−2i2-2002i−2i000022-2-22i2i−2i−2i22-2-22i2i−2i−2i000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230−1+i1−i−1−i1+i000−22i2−i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−22−22i2−i2i2−i20000000000000000
χ392-22i−2i2-2002i−2i000022-2-22i2i−2i−2i22-2-22i2i−2i−2i0000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2301−i−1+i1+i−1−i000−22i2−i21−i−1+i1−i−1+i1+i−1−i1+i−1−i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−22−22i2−i2i2−i20000000000000000
χ402-22i−2i2-2002i−2i000022-2-22i2i−2i−2i22-2-22i2i−2i−2i0000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230−1+i1−i−1−i1+i0002−2−i2i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232−22−2−i2i2−i2i20000000000000000
χ412-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1322-2-22i2i−2i−2i-1-111−i−iii0000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2301−i−1+i1+i−1−i0−i3i32−2−i2i2−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ143−3ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ422-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1322-2-22i2i−2i−2i-1-111−i−iii0000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230−1+i1−i−1−i1+i0−i3i3−22i2−i2ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ143−3ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ432-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1322-2-22i2i−2i−2i-1-111−i−iii0000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2301−i−1+i1+i−1−i0i3−i3−22i2−i2−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−33−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ442-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1322-2-22i2i−2i−2i-1-111−i−iii0000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230−1+i1−i−1−i1+i0i3−i32−2−i2i2ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−33−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ452-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1322-2-22i2i−2i−2i-1-111−i−iii0000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2301−i−1+i1+i−1−i0i3−i32−2−i2i2−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−33ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ462-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1322-2-22i2i−2i−2i-1-111−i−iii0000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230−1+i1−i−1−i1+i0i3−i3−22i2−i2ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−33ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ472-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1322-2-22i2i−2i−2i-1-111−i−iii0000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2301−i−1+i1+i−1−i0−i3i3−22i2−i2−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ143−3−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ482-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1322-2-22i2i−2i−2i-1-111−i−iii0000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230−1+i1−i−1−i1+i0−i3i32−2−i2i2ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ143−3−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ492-2−2i2i2-200−2i2i000022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1301+i−1−i1−i−1+i0002−2i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132−22−2i2−i2i2−i20000000000000000
χ502-2−2i2i2-200−2i2i000022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130−1−i1+i−1+i1−i000−22−i2i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−22−22−i2i2−i2i20000000000000000
χ512-2−2i2i2-200−2i2i000022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1301+i−1−i1−i−1+i000−22−i2i21+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−22−22−i2i2−i2i20000000000000000
χ522-2−2i2i2-200−2i2i000022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130−1−i1+i−1+i1−i0002−2i2−i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132−22−2i2−i2i2−i20000000000000000
χ532-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2322-2-2−2i−2i2i2i-1-111ii−i−i0000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1301+i−1−i1−i−1+i0i3−i32−2i2−i2−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ223−3−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ542-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2322-2-2−2i−2i2i2i-1-111ii−i−i0000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130−1−i1+i−1+i1−i0i3−i3−22−i2i2ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ223−3−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ552-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2322-2-2−2i−2i2i2i-1-111ii−i−i0000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1301+i−1−i1−i−1+i0−i3i3−22−i2i2−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−33ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ562-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2322-2-2−2i−2i2i2i-1-111ii−i−i0000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130−1−i1+i−1+i1−i0−i3i32−2i2−i2ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−33ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ572-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2322-2-2−2i−2i2i2i-1-111ii−i−i0000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1301+i−1−i1−i−1+i0−i3i32−2i2−i2−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−33−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ582-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2322-2-2−2i−2i2i2i-1-111ii−i−i0000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130−1−i1+i−1+i1−i0−i3i3−22−i2i2ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−33−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ592-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2322-2-2−2i−2i2i2i-1-111ii−i−i0000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1301+i−1−i1−i−1+i0i3−i3−22−i2i2−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ223−3ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ602-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2322-2-2−2i−2i2i2i-1-111ii−i−i0000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130−1−i1+i−1+i1−i0i3−i32−2i2−i2ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ223−3ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ61444444444444441-21-21-21-21-21-21-21-21-21-21-21-21-21-200000000000000000000000000000000000000020200220-10-100-1-1
χ62444444444444441-21-21-21-21-21-21-21-21-21-21-21-21-21-2000000000000000000000000000000000000000-20-200-2-201010011
χ6344444444444444-21-21-21-21-21-21-21-21-21-21-21-21-21-210000000000000000000000000000000000000020202200-10-10-1-100
χ6444444444444444-21-21-21-21-21-21-21-21-21-21-21-21-21-2100000000000000000000000000000000000000-20-20-2-20010101100
χ65444444-4-444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-12-12-1200000000000000000000000000000000000000020200-2-20-10-10011
χ66444444-4-444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-12-12-12000000000000000000000000000000000000000-20-20022010100-1-1
χ67444444-4-444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-12-12-1000000000000000000000000000000000000002020-2-200-10-101100
χ68444444-4-444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-12-12-100000000000000000000000000000000000000-20-2022001010-1-100
χ6944-4-4444i−4i-4-44i4i−4i−4i1-21-2-12-121-21-2-12-12i−2i−i2ii−2ii−2i−i2i−i2i00000000000000000000000000000000000000020-2002i−2i0-10100−ii
χ7044-4-4444i−4i-4-44i4i−4i−4i1-21-2-12-121-21-2-12-12i−2i−i2ii−2ii−2i−i2i−i2i000000000000000000000000000000000000000-20200−2i2i010-100i−i
χ7144-4-4444i−4i-4-44i4i−4i−4i-21-212-12-1-21-212-12-1−2ii2i−i−2ii−2ii2i−i2i−i0000000000000000000000000000000000000020-202i−2i00-1010−ii00
χ7244-4-4444i−4i-4-44i4i−4i−4i-21-212-12-1-21-212-12-1−2ii2i−i−2ii−2ii2i−i2i−i00000000000000000000000000000000000000-2020−2i2i0010-10i−i00
χ7344-4-444−4i4i-4-4−4i−4i4i4i1-21-2-12-121-21-2-12-12−i2ii−2i−i2i−i2ii−2ii−2i00000000000000000000000000000000000000020-200−2i2i0-10100i−i
χ7444-4-444−4i4i-4-4−4i−4i4i4i1-21-2-12-121-21-2-12-12−i2ii−2i−i2i−i2ii−2ii−2i000000000000000000000000000000000000000-202002i−2i010-100−ii
χ7544-4-444−4i4i-4-4−4i−4i4i4i-21-212-12-1-21-212-12-12i−i−2ii2i−i2i−i−2ii−2ii0000000000000000000000000000000000000020-20−2i2i00-1010i−i00
χ7644-4-444−4i4i-4-4−4i−4i4i4i-21-212-12-1-21-212-12-12i−i−2ii2i−i2i−i−2ii−2ii00000000000000000000000000000000000000-20202i−2i0010-10−ii00
χ778888-4-488-4-4-4-4-4-42-42-42-42-4-12-12-12-122-42-4-12-12-12-12000000000000000000000000000000000000000000000000000000
χ788888-4-488-4-4-4-4-4-4-42-42-42-422-12-12-12-1-42-422-12-12-12-1000000000000000000000000000000000000000000000000000000
χ798888-4-4-8-8-4-444442-42-42-42-4-12-12-12-12-24-241-21-21-21-2000000000000000000000000000000000000000000000000000000
χ808888-4-4-8-8-4-44444-42-42-42-422-12-12-12-14-24-2-21-21-21-21000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-48i−8i44−4i−4i4i4i2-42-4-24-24-12-121-21-22i−4i−2i4i−i2i−i2ii−2ii−2i000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-48i−8i44−4i−4i4i4i-42-424-24-22-12-1-21-21−4i2i4i−2i2i−i2i−i−2ii−2ii000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-4−8i8i444i4i−4i−4i2-42-4-24-24-12-121-21-2−2i4i2i−4ii−2ii−2i−i2i−i2i000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-4−8i8i444i4i−4i−4i-42-424-24-22-12-1-21-214i−2i−4i2i−2ii−2ii2i−i2i−i000000000000000000000000000000000000000000000000000000
χ858-88i−8i8-8008i−8i00002-4-242i−4i−2i4i2-4-242i−4i−2i4i000000000000000000000000000000000000000000000000000000000000000000
χ868-88i−8i8-8008i−8i0000-424-2−4i2i4i−2i-424-2−4i2i4i−2i000000000000000000000000000000000000000000000000000000000000000000
χ878-88i−8i-4400−4i4i−4ζ7+4ζ234ζ7−4ζ234ζ5−4ζ13−4ζ5+4ζ132-4-242i−4i−2i4i-121-2−i2ii−2i0000−ζ7+ζ232ζ7−2ζ23ζ7−ζ23−2ζ7+2ζ23ζ5−ζ13−2ζ5+2ζ13−ζ5+ζ132ζ5−2ζ13000000000000000000000000000000000000000000000000000000
χ888-88i−8i-4400−4i4i−4ζ7+4ζ234ζ7−4ζ234ζ5−4ζ13−4ζ5+4ζ13-424-2−4i2i4i−2i2-1-212i−i−2ii00002ζ7−2ζ23−ζ7+ζ23−2ζ7+2ζ23ζ7−ζ23−2ζ5+2ζ13ζ5−ζ132ζ5−2ζ13−ζ5+ζ13000000000000000000000000000000000000000000000000000000
χ898-88i−8i-4400−4i4i4ζ7−4ζ23−4ζ7+4ζ23−4ζ5+4ζ134ζ5−4ζ132-4-242i−4i−2i4i-121-2−i2ii−2i0000ζ7−ζ23−2ζ7+2ζ23−ζ7+ζ232ζ7−2ζ23−ζ5+ζ132ζ5−2ζ13ζ5−ζ13−2ζ5+2ζ13000000000000000000000000000000000000000000000000000000
χ908-88i−8i-4400−4i4i4ζ7−4ζ23−4ζ7+4ζ23−4ζ5+4ζ134ζ5−4ζ13-424-2−4i2i4i−2i2-1-212i−i−2ii0000−2ζ7+2ζ23ζ7−ζ232ζ7−2ζ23−ζ7+ζ232ζ5−2ζ13−ζ5+ζ13−2ζ5+2ζ13ζ5−ζ13000000000000000000000000000000000000000000000000000000
χ918-8−8i8i8-800−8i8i00002-4-24−2i4i2i−4i2-4-24−2i4i2i−4i000000000000000000000000000000000000000000000000000000000000000000
χ928-8−8i8i8-800−8i8i0000-424-24i−2i−4i2i-424-24i−2i−4i2i000000000000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i-44004i−4i4ζ5−4ζ13−4ζ5+4ζ13−4ζ7+4ζ234ζ7−4ζ232-4-24−2i4i2i−4i-121-2i−2i−i2i0000ζ5−ζ13−2ζ5+2ζ13−ζ5+ζ132ζ5−2ζ13−ζ7+ζ232ζ7−2ζ23ζ7−ζ23−2ζ7+2ζ23000000000000000000000000000000000000000000000000000000
χ948-8−8i8i-44004i−4i4ζ5−4ζ13−4ζ5+4ζ13−4ζ7+4ζ234ζ7−4ζ23-424-24i−2i−4i2i2-1-21−2ii2i−i0000−2ζ5+2ζ13ζ5−ζ132ζ5−2ζ13−ζ5+ζ132ζ7−2ζ23−ζ7+ζ23−2ζ7+2ζ23ζ7−ζ23000000000000000000000000000000000000000000000000000000
χ958-8−8i8i-44004i−4i−4ζ5+4ζ134ζ5−4ζ134ζ7−4ζ23−4ζ7+4ζ232-4-24−2i4i2i−4i-121-2i−2i−i2i0000−ζ5+ζ132ζ5−2ζ13ζ5−ζ13−2ζ5+2ζ13ζ7−ζ23−2ζ7+2ζ23−ζ7+ζ232ζ7−2ζ23000000000000000000000000000000000000000000000000000000
χ968-8−8i8i-44004i−4i−4ζ5+4ζ134ζ5−4ζ134ζ7−4ζ23−4ζ7+4ζ23-424-24i−2i−4i2i2-1-21−2ii2i−i00002ζ5−2ζ13−ζ5+ζ13−2ζ5+2ζ13ζ5−ζ13−2ζ7+2ζ23ζ7−ζ232ζ7−2ζ23−ζ7+ζ23000000000000000000000000000000000000000000000000000000

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