Finite Group Databasebeta

← Group #68694

Character table — Group #68694

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222222222222222224444444444444444444444444444444444121212121212121224242424
order12224444223446666666888812121212121212124444888888121212121212121224242424242424242424242424242424224488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ91111-1-1-1-1-1-111111-1-11-1-1ii−i−i11-1-111-1-1ii−i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i1-1i−i
χ101111-1-1-1-1-1-111111-1-11-1-1ii−i−i11-1-111-1-1ii−i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111−i−iii-11−ii
χ111111-1-1-1-1-1-111111-1-11-1-1ii−i−i11-1-111-1-1−i−iiii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i-11−ii
χ121111-1-1-1-1-1-111111-1-11-1-1ii−i−i11-1-111-1-1−i−iiii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111−i−iii1-1i−i
χ131111-1-1-1-1-1-111111-1-11-1-1−i−iii11-1-111-1-1ii−i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1−i−iii-11i−i
χ141111-1-1-1-1-1-111111-1-11-1-1−i−iii11-1-111-1-1ii−i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111ii−i−i1-1−ii
χ151111-1-1-1-1-1-111111-1-11-1-1−i−iii11-1-111-1-1−i−iii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii1-1−ii
χ161111-1-1-1-1-1-111111-1-11-1-1−i−iii11-1-111-1-1−i−iii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i-11i−i
χ172222222222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000000000
χ192222222222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000
χ202222222222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1000000000000
χ2122222222-2-22-2-222-2-22-2-22222-2-222-2-2220000-2-200000000000022-2-222-2-200000000000000000000
χ2222222222-2-22-2-222-2-22-2-2-2-2-2-2-2-222-2-222000022000000000000-2-222-2-22200000000000000000000
χ2322222222-2-2-1-2-2-1-111-111222211-1-111-1-10000-2-2000033−3−333−3−3-1-111-1-11133−3−333−3−3000000000000
χ2422222222-2-2-1-2-2-1-111-111222211-1-111-1-10000-2-20000−3−333−3−333-1-111-1-111−3−333−3−333000000000000
χ2522222222-2-2-1-2-2-1-111-111-2-2-2-211-1-111-1-1000022000033−3−333−3−311-1-111-1-1−3−333−3−333000000000000
χ2622222222-2-2-1-2-2-1-111-111-2-2-2-211-1-111-1-10000220000−3−333−3−33311-1-111-1-133−3−333−3−3000000000000
χ272222-2-2-2-2222-2-222222222i2i−2i−2i-2-2-2-2-2-2-2-20000−2i2i0000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ282222-2-2-2-2222-2-22222222−2i−2i2i2i-2-2-2-2-2-2-2-200002i−2i000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ292222-2-2-2-222-1-2-2-1-1-1-1-1-1-12i2i−2i−2i111111110000−2i2i0000−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i−3−33333−3−3000000000000
χ302222-2-2-2-222-1-2-2-1-1-1-1-1-1-12i2i−2i−2i111111110000−2i2i0000i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i33−3−3−3−333000000000000
χ312222-2-2-2-222-1-2-2-1-1-1-1-1-1-1−2i−2i2i2i1111111100002i−2i0000−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii33−3−3−3−333000000000000
χ322222-2-2-2-222-1-2-2-1-1-1-1-1-1-1−2i−2i2i2i1111111100002i−2i0000i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii−3−33333−3−3000000000000
χ332222-2-2-2-2-2-2-122-1-111-1112i2i−2i−2i-1-111-1-1112i2i−2i−2i2i−2i22-2-2−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111000000000000
χ342222-2-2-2-2-2-2-122-1-111-1112i2i−2i−2i-1-111-1-111−2i−2i2i2i2i−2i-2-222iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1000000000000
χ352222-2-2-2-2-2-2-122-1-111-111−2i−2i2i2i-1-111-1-1112i2i−2i−2i−2i2i-2-222−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1000000000000
χ362222-2-2-2-2-2-2-122-1-111-111−2i−2i2i2i-1-111-1-111−2i−2i2i2i−2i2i22-2-2iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111000000000000
χ3722-2-22i−2i2i−2i002002-200-2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i002i−2i1+i−1−i1−i−1+i002−2−i2i21+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002−22−2−i2i2−i2i2000000000000
χ3822-2-22i−2i2i−2i002002-200-2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i002i−2i−1−i1+i−1+i1−i00−22i2−i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−22−22i2−i2i2−i2000000000000
χ3922-2-22i−2i2i−2i002002-200-200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i002i−2i1+i−1−i1−i−1+i00−22i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−22−22i2−i2i2−i2000000000000
χ4022-2-22i−2i2i−2i002002-200-200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i002i−2i−1−i1+i−1+i1−i002−2−i2i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002−22−2−i2i2−i2i2000000000000
χ4122-2-22i−2i2i−2i00-100-11−i3i31−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−ii3−3−ii1+i−1−i1−i−1+i002−2−i2i2−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ4222-2-22i−2i2i−2i00-100-11−i3i31−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−ii3−3−ii−1−i1+i−1+i1−i00−22i2−i2ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ4322-2-22i−2i2i−2i00-100-11−i3i31−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−ii3−3−ii1+i−1−i1−i−1+i00−22i2−i2−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ4422-2-22i−2i2i−2i00-100-11−i3i31−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−ii3−3−ii−1−i1+i−1+i1−i002−2−i2i2ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ4522-2-22i−2i2i−2i00-100-11i3−i31i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33−ii−33−ii1+i−1−i1−i−1+i002−2−i2i2−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ4622-2-22i−2i2i−2i00-100-11i3−i31i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33−ii−33−ii−1−i1+i−1+i1−i00−22i2−i2ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ4722-2-22i−2i2i−2i00-100-11i3−i31i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33−ii−33−ii1+i−1−i1−i−1+i00−22i2−i2−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ4822-2-22i−2i2i−2i00-100-11i3−i31i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33−ii−33−ii−1−i1+i−1+i1−i002−2−i2i2ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ4922-2-2−2i2i−2i2i002002-200-200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i00−2i2i1−i−1+i1+i−1−i002−2i2−i21−i−1+i1−i−1+i1+i−1−i1+i−1−i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002−22−2i2−i2i2−i2000000000000
χ5022-2-2−2i2i−2i2i002002-200-200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i00−2i2i−1+i1−i−1−i1+i00−22−i2i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−22−22−i2i2−i2i2000000000000
χ5122-2-2−2i2i−2i2i002002-200-2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i00−2i2i1−i−1+i1+i−1−i00−22−i2i21−i−1+i1−i−1+i1+i−1−i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−22−22−i2i2−i2i2000000000000
χ5222-2-2−2i2i−2i2i002002-200-2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i00−2i2i−1+i1−i−1−i1+i002−2i2−i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002−22−2i2−i2i2−i2000000000000
χ5322-2-2−2i2i−2i2i00-100-11−i3i31−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33i−i−33i−i1−i−1+i1+i−1−i002−2i2−i2−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5422-2-2−2i2i−2i2i00-100-11−i3i31−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33i−i−33i−i−1+i1−i−1−i1+i00−22−i2i2ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5522-2-2−2i2i−2i2i00-100-11−i3i31−i3i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33i−i−33i−i1−i−1+i1+i−1−i00−22−i2i2−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5622-2-2−2i2i−2i2i00-100-11−i3i31−i3i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33i−i−33i−i−1+i1−i−1−i1+i002−2i2−i2ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5722-2-2−2i2i−2i2i00-100-11i3−i31i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3i−i3−3i−i1−i−1+i1+i−1−i002−2i2−i2−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ5822-2-2−2i2i−2i2i00-100-11i3−i31i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3i−i3−3i−i−1+i1−i−1−i1+i00−22−i2i2ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ5922-2-2−2i2i−2i2i00-100-11i3−i31i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3i−i3−3i−i1−i−1+i1+i−1−i00−22−i2i2−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ6022-2-2−2i2i−2i2i00-100-11i3−i31i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3i−i3−3i−i−1+i1−i−1−i1+i002−2i2−i2ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ612-2-2222-2-22-222-2-2-2222-2-200002222-2-2-2-200000000000000000000000000000000002-22-200000000
χ622-2-2222-2-22-222-2-2-2222-2-200002222-2-2-2-20000000000000000000000000000000000-22-2200000000
χ632-2-2222-2-2-222-22-2-2-2-22220000-2-22222-2-2000000000000000000000000000000000000002i−2i2i−2i0000
χ642-2-2222-2-2-222-22-2-2-2-22220000-2-22222-2-200000000000000000000000000000000000000−2i2i−2i2i0000
χ652-2-22-2-2222-22-22-2-2222-2-20000-2-2-2-22222000000000000000000000000000000000000002-2-220000
χ662-2-22-2-2222-22-22-2-2222-2-20000-2-2-2-2222200000000000000000000000000000000000000-222-20000
χ672-2-22-2-222-2222-2-2-2-2-2222000022-2-2-2-22200000000000000000000000000000000002-2-2200000000
χ682-2-22-2-222-2222-2-2-2-2-2222000022-2-2-2-2220000000000000000000000000000000000-222-200000000
χ694-44-44i−4i−4i4i00400-4400-4000000004i−4i00−4i4i0000000000000000000000000000000000000000000000
χ704-44-44i−4i−4i4i00-2002-2−2i32i322i3−2i3000023−23−2i2i−23232i−2i0000000000000000000000000000000000000000000000
χ714-44-44i−4i−4i4i00-2002-22i3−2i32−2i32i30000−2323−2i2i23−232i−2i0000000000000000000000000000000000000000000000
χ724-44-4−4i4i4i−4i00400-4400-400000000−4i4i004i−4i0000000000000000000000000000000000000000000000
χ734-44-4−4i4i4i−4i00-2002-2−2i32i322i3−2i30000−23232i−2i23−23−2i2i0000000000000000000000000000000000000000000000
χ744-44-4−4i4i4i−4i00-2002-22i3−2i32−2i32i3000023−232i−2i−2323−2i2i0000000000000000000000000000000000000000000000
χ754-4-4444-4-44-4-24-422-2-2-2220000-2-2-2-222220000000000000000000000000000000000000000000000
χ764-4-4444-4-4-44-2-442222-2-2-2000022-2-2-2-2220000000000000000000000000000000000000000000000
χ774-4-44-4-4444-4-2-4422-2-2-22200002222-2-2-2-20000000000000000000000000000000000000000000000
χ784-4-44-4-444-44-24-42222-2-2-20000-2-22222-2-20000000000000000000000000000000000000000000000

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