Finite Group Databasebeta

← Group #68608

Character table — Group #68608

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111111111111222222222222222244444444444444444444444444444444444412121212121212121212121212121212
order12222222444444443666666612121212121212124444888888881212121212121212242424242424242424242424242424244444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000000000000
χ2122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111122-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ2222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111122-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ2322222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ2422222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ252222-2-2-2-222-2-222-2-22-2-2-2-222222-2-222-2-200000000000000000000000000000000000000002i−2i2i−2i00000000
χ262222-2-2-2-222-2-222-2-22-2-2-2-222222-2-222-2-20000000000000000000000000000000000000000−2i2i−2i2i00000000
χ272222-2-2-2-2-2-222-2-2222-2-2-2-2222-2-222-2-22200000000000000000000000000000000000000002i−2i−2i2i00000000
χ282222-2-2-2-2-2-222-2-2222-2-2-2-2222-2-222-2-2220000000000000000000000000000000000000000−2i2i2i−2i00000000
χ2922-2-222-2-22222-2-2-2-2222-2-22-2-2-2-2-2-222220000000000000000000000000000000000002i−2i2i−2i000000000000
χ3022-2-222-2-22222-2-2-2-2222-2-22-2-2-2-2-2-22222000000000000000000000000000000000000−2i2i−2i2i000000000000
χ3122-2-222-2-2-2-2-2-22222222-2-22-2-22222-2-2-2-20000000000000000000000000000000000002i−2i−2i2i000000000000
χ3222-2-222-2-2-2-2-2-22222222-2-22-2-22222-2-2-2-2000000000000000000000000000000000000−2i2i2i−2i000000000000
χ3322-2-2-2-22222-2-2-2-2222-2-2222-2-2-2-22222-2-22i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ3422-2-2-2-22222-2-2-2-2222-2-2222-2-2-2-22222-2-2−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ3522-2-2-2-22222-2-2-2-222-111-1-1-11111-1-1-1-1112i−2i2i−2i00000000−i−iii−i−iii−i3−i3i3i3−i3−i3i3i333−3−333−3−30000000000000000
χ3622-2-2-2-22222-2-2-2-222-111-1-1-11111-1-1-1-1112i−2i2i−2i00000000−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3−3−333−3−3330000000000000000
χ3722-2-2-2-22222-2-2-2-222-111-1-1-11111-1-1-1-111−2i2i−2i2i00000000ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3−3−333−3−3330000000000000000
χ3822-2-2-2-22222-2-2-2-222-111-1-1-11111-1-1-1-111−2i2i−2i2i00000000ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i333−3−333−3−30000000000000000
χ3922-2-2-2-222-2-22222-2-22-2-2222-2-222-2-2-2-2222i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ4022-2-2-2-222-2-22222-2-22-2-2222-2-222-2-2-2-222−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ4122-2-2-2-222-2-22222-2-2-111-1-1-111-1-11111-1-12i−2i−2i2i00000000−i−iiiii−i−i33−3−3−3−333i3i3−i3−i3−i3−i3i3i30000000000000000
χ4222-2-2-2-222-2-22222-2-2-111-1-1-111-1-11111-1-12i−2i−2i2i00000000−i−iiiii−i−i−3−33333−3−3−i3−i3i3i3i3i3−i3−i30000000000000000
χ4322-2-2-2-222-2-22222-2-2-111-1-1-111-1-11111-1-1−2i2i2i−2i00000000ii−i−i−i−iii33−3−3−3−333−i3−i3i3i3i3i3−i3−i30000000000000000
χ4422-2-2-2-222-2-22222-2-2-111-1-1-111-1-11111-1-1−2i2i2i−2i00000000ii−i−i−i−iii−3−33333−3−3i3i3−i3−i3−i3−i3i3i30000000000000000
χ452-22-22-22-22i−2i2i−2i2i−2i2i−2i22-22-2-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ462-22-22-22-22i−2i2i−2i2i−2i2i−2i22-22-2-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ472-22-22-22-2−2i2i−2i2i−2i2i−2i2i22-22-2-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ482-22-22-22-2−2i2i−2i2i−2i2i−2i2i22-22-2-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ492-22-2-22-222i−2i−2i2i2i−2i−2i2i2-22-22-22-22i−2i−2i2i2i−2i−2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ502-22-2-22-222i−2i−2i2i2i−2i−2i2i2-22-22-22-22i−2i−2i2i2i−2i−2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ512-22-2-22-222i−2i−2i2i2i−2i−2i2i-11-11-11-11−iii−i−iii−i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−i3i3−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
χ522-22-2-22-222i−2i−2i2i2i−2i−2i2i-11-11-11-11−iii−i−iii−i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000i3−i3i3−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
χ532-22-2-22-222i−2i−2i2i2i−2i−2i2i-11-11-11-11−iii−i−iii−i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−i3i3−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
χ542-22-2-22-222i−2i−2i2i2i−2i−2i2i-11-11-11-11−iii−i−iii−i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000i3−i3i3−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
χ552-22-2-22-22−2i2i2i−2i−2i2i2i−2i2-22-22-22-2−2i2i2i−2i−2i2i2i−2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ562-22-2-22-22−2i2i2i−2i−2i2i2i−2i2-22-22-22-2−2i2i2i−2i−2i2i2i−2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ572-22-2-22-22−2i2i2i−2i−2i2i2i−2i-11-11-11-11i−i−iii−i−ii0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−i3i3−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
χ582-22-2-22-22−2i2i2i−2i−2i2i2i−2i-11-11-11-11i−i−iii−i−ii0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000i3−i3i3−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
χ592-22-2-22-22−2i2i2i−2i−2i2i2i−2i-11-11-11-11i−i−iii−i−ii00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−i3i3−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
χ602-22-2-22-22−2i2i2i−2i−2i2i2i−2i-11-11-11-11i−i−iii−i−ii00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000i3−i3i3−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
χ612-2-222-2-222i−2i2i−2i−2i2i−2i2i22-2-22-2-22−2i2i−2i2i2i−2i2i−2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000
χ622-2-222-2-222i−2i2i−2i−2i2i−2i2i22-2-22-2-22−2i2i−2i2i2i−2i2i−2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000
χ632-2-222-2-222i−2i2i−2i−2i2i−2i2i-1-111-111-1i−ii−i−ii−ii00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3−33i3−i3−i3i3ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ230000000000000000
χ642-2-222-2-222i−2i2i−2i−2i2i−2i2i-1-111-111-1i−ii−i−ii−ii00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−333−3−i3i3i3−i3−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ230000000000000000
χ652-2-222-2-222i−2i2i−2i−2i2i−2i2i-1-111-111-1i−ii−i−ii−ii000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3−33i3−i3−i3i3−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ230000000000000000
χ662-2-222-2-222i−2i2i−2i−2i2i−2i2i-1-111-111-1i−ii−i−ii−ii000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−333−3−i3i3i3−i3ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ230000000000000000
χ672-2-222-2-22−2i2i−2i2i2i−2i2i−2i22-2-22-2-222i−2i2i−2i−2i2i−2i2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000
χ682-2-222-2-22−2i2i−2i2i2i−2i2i−2i22-2-22-2-222i−2i2i−2i−2i2i−2i2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000
χ692-2-222-2-22−2i2i−2i2i2i−2i2i−2i-1-111-111-1−ii−iii−ii−i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−33−i3i3i3−i3−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ130000000000000000
χ702-2-222-2-22−2i2i−2i2i2i−2i2i−2i-1-111-111-1−ii−iii−ii−i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−333−3i3−i3−i3i3ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ130000000000000000
χ712-2-222-2-22−2i2i−2i2i2i−2i2i−2i-1-111-111-1−ii−iii−ii−i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−33−i3i3i3−i3ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ130000000000000000
χ722-2-222-2-22−2i2i−2i2i2i−2i2i−2i-1-111-111-1−ii−iii−ii−i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−333−3i3−i3−i3i3−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ130000000000000000
χ732-2-22-222-22i−2i−2i2i−2i2i2i−2i2-222-2-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ742-2-22-222-22i−2i−2i2i−2i2i2i−2i2-222-2-2-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ752-2-22-222-2−2i2i2i−2i2i−2i−2i2i2-222-2-2-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ762-2-22-222-2−2i2i2i−2i2i−2i−2i2i2-222-2-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ774444-4-4-4-444-4-444-4-4-22222-2-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000
χ784444-4-4-4-4-4-444-4-444-22222-2-2-222-2-222-2-20000000000000000000000000000000000000000000000000000
χ7944-4-444-4-44444-4-4-4-4-2-2-222-2222222-2-2-2-20000000000000000000000000000000000000000000000000000
χ8044-4-444-4-4-4-4-4-44444-2-2-222-222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ814-44-44-44-44i−4i4i−4i4i−4i4i−4i-2-22-222-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ824-44-44-44-4−4i4i−4i4i−4i4i−4i4i-2-22-222-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ834-4-44-444-44i−4i−4i4i−4i4i4i−4i-22-2-2222-22i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ844-4-44-444-4−4i4i4i−4i4i−4i−4i4i-22-2-2222-2−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000

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