Finite Group Databasebeta

← Group #10690735

Character table — Group #10690735

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444488888888888888888888888888888888888824242424242424242424242424242424
order12222222223444444446661212121266666612121212121224446688888888121212121212242424242424242424242424242424244444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-11-111ii−i−iii−i−i11-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-11-111ii−i−iii−i−i11-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-11-111−i−iii−i−iii11-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ1211111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-11-111−i−iii−i−iii11-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ1311111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1ii−i−i−i−iii-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ1411111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1ii−i−i−i−iii-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ1511111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1−i−iiiii−i−i-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1−i−iiiii−i−i-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ172222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111111111110000000000000000
χ192222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2112222-2-2-2-2111111-1-1-1-1-1-1-1-1111111110000000000000000
χ202222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-2222211111111111111-1-1-1-1-1-1-1-10000000000000000
χ212222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-11111112-22-2-1-12i2i−2i−2i2i2i−2i−2i-1-11111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ222222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-11111112-22-2-1-1−2i−2i2i2i−2i−2i2i2i-1-11111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ232222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-1111111-22-22112i2i−2i−2i−2i−2i2i2i11-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ242222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-1111111-22-2211−2i−2i2i2i2i2i−2i−2i11-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ25222222-2-2-2-222222-2-2-2-2222222222-2-2-2-2-2-222-2-20000000000000000000000000000000000000000000000002i−2i2i−2i
χ26222222-2-2-2-222222-2-2-2-2222222222-2-2-2-2-2-222-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i
χ27222222-2-2-2-22-2-2-2-22222222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000002-2-22
χ28222222-2-2-2-22-2-2-2-22222222-2-2-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000-222-2
χ292222-2-222-2-2222-2-222-2-22222222-2-222-2-2-2-2-2-222000000000000000000000000000000000000000000002i−2i2i−2i0000
χ302222-2-222-2-2222-2-222-2-22222222-2-222-2-2-2-2-2-22200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ312222-2-222-2-22-2-222-2-222222-2-2-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000002-2-220000
χ322222-2-222-2-22-2-222-2-222222-2-2-2-2-2-222-2-22222-2-200000000000000000000000000000000000000000000-222-20000
χ332222-2-2-2-222222-2-2-2-2222222222-2-2-2-22222-2-2-2-22-2-222200000000-2-2-2-22200000000000000000000000000000000
χ342222-2-2-2-222222-2-2-2-2222222222-2-2-2-22222-2-2-2-2-222-2-2-2000000002222-2-200000000000000000000000000000000
χ352222-2-2-2-2222-2-22222-2-2222-2-2-2-2-2-2-2-222-2-2222222-2-22200000000-2-222-2-200000000000000000000000000000000
χ362222-2-2-2-2222-2-22222-2-2222-2-2-2-2-2-2-2-222-2-22222-2-222-2-20000000022-2-22200000000000000000000000000000000
χ372222-2-2-2-222-122-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-111112-2-22-1-1000000001111-1-133−3−333−3−333−3−333−3−30000000000000000
χ382222-2-2-2-222-122-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-111112-2-22-1-1000000001111-1-1−3−333−3−333−3−333−3−3330000000000000000
χ392222-2-2-2-222-122-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-11111-222-21100000000-1-1-1-11133−3−333−3−3−3−333−3−3330000000000000000
χ402222-2-2-2-222-122-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-11111-222-21100000000-1-1-1-111−3−333−3−33333−3−333−3−30000000000000000
χ412222-2-2-2-222-1-2-22222-2-2-1-1-111111111-1-111-1-1-1-122-2-2-1-10000000011-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ422222-2-2-2-222-1-2-22222-2-2-1-1-111111111-1-111-1-1-1-122-2-2-1-10000000011-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ432222-2-2-2-222-1-2-22222-2-2-1-1-111111111-1-111-1-1-1-1-2-2221100000000-1-111-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ442222-2-2-2-222-1-2-22222-2-2-1-1-111111111-1-111-1-1-1-1-2-2221100000000-1-111-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ452-22-22-22-22-222i−2i2i−2i2i−2i2i−2i2-2-22i2i−2i−2i2-22-22-22i−2i2i−2i2i−2i00000000000000000000000000000000000000002-22i−2i00000000
χ462-22-22-22-22-222i−2i2i−2i2i−2i2i−2i2-2-22i2i−2i−2i2-22-22-22i−2i2i−2i2i−2i0000000000000000000000000000000000000000-22−2i2i00000000
χ472-22-22-22-22-22−2i2i−2i2i−2i2i−2i2i2-2-2−2i−2i2i2i2-22-22-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000002-2−2i2i00000000
χ482-22-22-22-22-22−2i2i−2i2i−2i2i−2i2i2-2-2−2i−2i2i2i2-22-22-2−2i2i−2i2i−2i2i0000000000000000000000000000000000000000-222i−2i00000000
χ492-22-22-2-22-2222i−2i2i−2i−2i2i−2i2i2-2-22i2i−2i−2i2-2-22-22−2i2i2i−2i−2i2i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ502-22-22-2-22-2222i−2i2i−2i−2i2i−2i2i2-2-22i2i−2i−2i2-2-22-22−2i2i2i−2i−2i2i000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ512-22-22-2-22-222−2i2i−2i2i2i−2i2i−2i2-2-2−2i−2i2i2i2-2-22-222i−2i−2i2i2i−2i000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ522-22-22-2-22-222−2i2i−2i2i2i−2i2i−2i2-2-2−2i−2i2i2i2-2-22-222i−2i−2i2i2i−2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ532-22-22-2-22-22-12i−2i2i−2i−2i2i−2i2i-111−i−iii-111-11-1i−i−iii−i0000−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−i3i33−33−3−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ542-22-22-2-22-22-12i−2i2i−2i−2i2i−2i2i-111−i−iii-111-11-1i−i−iii−i0000−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−i3i33−33−3ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ552-22-22-2-22-22-12i−2i2i−2i−2i2i−2i2i-111−i−iii-111-11-1i−i−iii−i0000i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000i3−i3−33−33−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ562-22-22-2-22-22-12i−2i2i−2i−2i2i−2i2i-111−i−iii-111-11-1i−i−iii−i0000i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000i3−i3−33−33ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ572-22-22-2-22-22-1−2i2i−2i2i2i−2i2i−2i-111ii−i−i-111-11-1−iii−i−ii0000−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−i3i3−33−33ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ582-22-22-2-22-22-1−2i2i−2i2i2i−2i2i−2i-111ii−i−i-111-11-1−iii−i−ii0000−i3i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−i3i3−33−33−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ592-22-22-2-22-22-1−2i2i−2i2i2i−2i2i−2i-111ii−i−i-111-11-1−iii−i−ii0000i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000i3−i33−33−3ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ602-22-22-2-22-22-1−2i2i−2i2i2i−2i2i−2i-111ii−i−i-111-11-1−iii−i−ii0000i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000i3−i33−33−3−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ612-22-2-222-2-2222i−2i−2i2i2i−2i−2i2i2-2-22i2i−2i−2i-222-2-22−2i2i−2i2i2i−2i0000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000
χ622-22-2-222-2-2222i−2i−2i2i2i−2i−2i2i2-2-22i2i−2i−2i-222-2-22−2i2i−2i2i2i−2i00000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000
χ632-22-2-222-2-222−2i2i2i−2i−2i2i2i−2i2-2-2−2i−2i2i2i-222-2-222i−2i2i−2i−2i2i00000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000
χ642-22-2-222-2-222−2i2i2i−2i−2i2i2i−2i2-2-2−2i−2i2i2i-222-2-222i−2i2i−2i−2i2i0000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000
χ652-22-2-222-2-22-12i−2i−2i2i2i−2i−2i2i-111−i−iii1-1-111-1i−ii−i−ii0000−i3i30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23i3−i3−333−3−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ230000000000000000
χ662-22-2-222-2-22-12i−2i−2i2i2i−2i−2i2i-111−i−iii1-1-111-1i−ii−i−ii0000−i3i300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23i3−i3−333−3ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ230000000000000000
χ672-22-2-222-2-22-12i−2i−2i2i2i−2i−2i2i-111−i−iii1-1-111-1i−ii−i−ii0000i3−i30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−i3i33−3−33ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ230000000000000000
χ682-22-2-222-2-22-12i−2i−2i2i2i−2i−2i2i-111−i−iii1-1-111-1i−ii−i−ii0000i3−i300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−i3i33−3−33−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ230000000000000000
χ692-22-2-222-2-22-1−2i2i2i−2i−2i2i2i−2i-111ii−i−i1-1-111-1−ii−iii−i0000−i3i300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13i3−i33−3−33−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ130000000000000000
χ702-22-2-222-2-22-1−2i2i2i−2i−2i2i2i−2i-111ii−i−i1-1-111-1−ii−iii−i0000−i3i30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13i3−i33−3−33ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ130000000000000000
χ712-22-2-222-2-22-1−2i2i2i−2i−2i2i2i−2i-111ii−i−i1-1-111-1−ii−iii−i0000i3−i300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−i3i3−333−3ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ130000000000000000
χ722-22-2-222-2-22-1−2i2i2i−2i−2i2i2i−2i-111ii−i−i1-1-111-1−ii−iii−i0000i3−i30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−i3i3−333−3−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ130000000000000000
χ732-22-2-22-222-222i−2i−2i2i−2i2i2i−2i2-2-22i2i−2i−2i-22-222-22i−2i−2i2i−2i2i0000000000000000000000000000000000002-22i−2i000000000000
χ742-22-2-22-222-222i−2i−2i2i−2i2i2i−2i2-2-22i2i−2i−2i-22-222-22i−2i−2i2i−2i2i000000000000000000000000000000000000-22−2i2i000000000000
χ752-22-2-22-222-22−2i2i2i−2i2i−2i−2i2i2-2-2−2i−2i2i2i-22-222-2−2i2i2i−2i2i−2i0000000000000000000000000000000000002-2−2i2i000000000000
χ762-22-2-22-222-22−2i2i2i−2i2i−2i−2i2i2-2-2−2i−2i2i2i-22-222-2−2i2i2i−2i2i−2i000000000000000000000000000000000000-222i−2i000000000000
χ77444444-4-4-4-4-24444-4-4-4-4-2-2-2-2-2-2-2-2-2222222-2-2220000000000000000000000000000000000000000000000000000
χ78444444-4-4-4-4-2-4-4-4-44444-2-2-22222-2-22222-2-222-2-20000000000000000000000000000000000000000000000000000
χ794444-4-444-4-4-244-4-444-4-4-2-2-2-2-2-2-222-2-2222222-2-20000000000000000000000000000000000000000000000000000
χ804444-4-444-4-4-2-4-444-4-444-2-2-2222222-2-222-2-2-2-2220000000000000000000000000000000000000000000000000000
χ814-44-44-44-44-4-24i−4i4i−4i4i−4i4i−4i-222−2i−2i2i2i-22-22-22−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ824-44-44-44-44-4-2−4i4i−4i4i−4i4i−4i4i-2222i2i−2i−2i-22-22-222i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ834-44-4-44-444-4-24i−4i−4i4i−4i4i4i−4i-222−2i−2i2i2i2-22-2-22−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ844-44-4-44-444-4-2−4i4i4i−4i4i−4i−4i4i-2222i2i−2i−2i2-22-2-222i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ8588-8-8000000800000000-88-800000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8000000-4000000004-4443−4343−430000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8000000-4000000004-44−4343−43430000000000000000000000000000000000000000000000000000000000000000
χ888-8-88000000800000000-8-8800000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88000000-40000000044-4−4i34i34i3−4i30000000000000000000000000000000000000000000000000000000000000000
χ908-8-88000000-40000000044-44i3−4i3−4i34i30000000000000000000000000000000000000000000000000000000000000000

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