Finite Group Databasebeta

← Group #70478

Character table — Group #70478

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111111111111222222222222222244444444444444444444444444444444444412121212121212121212121212121212
order12222222444444443666666612121212121212124444888888881212121212121212242424242424242424242424242424242244444488888888
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
χ511111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1
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−i1111-1-1-1-1ii−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-1-1-1-11111−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−iiiii1111-1-1-1-1−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-1-1-1-11111ii−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−iiiii11-1-111-1-1ii−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-1-111-1-111−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−i11-1-111-1-1−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-1-111-1-111ii−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
χ25222-2-2-2-222222-2-2-2-2222-2-22-2-22222-2-2-2-20000000000000000000000000000000000002-200002-200000000
χ26222-2-2-2-222222-2-2-2-2222-2-22-2-22222-2-2-2-2000000000000000000000000000000000000-220000-2200000000
χ27222-2-2-2-22-2-2-2-22222222-2-22-2-2-2-2-2-222220000000000000000000000000000000000002-20000-2200000000
χ28222-2-2-2-22-2-2-2-22222222-2-22-2-2-2-2-2-22222000000000000000000000000000000000000-2200002-200000000
χ2922-22-22-2-22i2i−2i−2i2i−2i2i−2i22-22-2-22-22i2i−2i−2i2i−2i2i−2i000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ3022-22-22-2-22i2i−2i−2i2i−2i2i−2i22-22-2-22-22i2i−2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ3122-22-22-2-2−2i−2i2i2i−2i2i−2i2i22-22-2-22-2−2i−2i2i2i−2i2i−2i2i00000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ3222-22-22-2-2−2i−2i2i2i−2i2i−2i2i22-22-2-22-2−2i−2i2i2i−2i2i−2i2i000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ3322-2-22-22-22i2i−2i−2i−2i2i−2i2i22-2-22-2-222i2i−2i−2i−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000000000
χ3422-2-22-22-22i2i−2i−2i−2i2i−2i2i22-2-22-2-222i2i−2i−2i−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000000000
χ3522-2-22-22-22i2i−2i−2i−2i2i−2i2i-1-111-111-1−i−iiii−ii−i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000033−3−3−i3−i3i3i3ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000000000000000
χ3622-2-22-22-22i2i−2i−2i−2i2i−2i2i-1-111-111-1−i−iiii−ii−i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−3−333i3i3−i3−i3ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ130000000000000000
χ3722-2-22-22-22i2i−2i−2i−2i2i−2i2i-1-111-111-1−i−iiii−ii−i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000033−3−3−i3−i3i3i3−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ130000000000000000
χ3822-2-22-22-22i2i−2i−2i−2i2i−2i2i-1-111-111-1−i−iiii−ii−i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−3−333i3i3−i3−i3−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000000000000000
χ3922-2-22-22-2−2i−2i2i2i2i−2i2i−2i22-2-22-2-22−2i−2i2i2i2i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000
χ4022-2-22-22-2−2i−2i2i2i2i−2i2i−2i22-2-22-2-22−2i−2i2i2i2i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000
χ4122-2-22-22-2−2i−2i2i2i2i−2i2i−2i-1-111-111-1ii−i−i−ii−ii00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000033−3−3i3i3−i3−i3−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000000000000000
χ4222-2-22-22-2−2i−2i2i2i2i−2i2i−2i-1-111-111-1ii−i−i−ii−ii00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−3−333−i3−i3i3i3−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ230000000000000000
χ4322-2-22-22-2−2i−2i2i2i2i−2i2i−2i-1-111-111-1ii−i−i−ii−ii0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000033−3−3i3i3−i3−i3ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ230000000000000000
χ4422-2-22-22-2−2i−2i2i2i2i−2i2i−2i-1-111-111-1ii−i−i−ii−ii0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−3−333−i3−i3i3i3ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000000000000000
χ452-222-2-22-22i−2i2i−2i2i−2i−2i2i2-22-22-22-22i−2i2i−2i2i−2i−2i2i000000000000000000000000000000000000002-22i−2i0000000000
χ462-222-2-22-22i−2i2i−2i2i−2i−2i2i2-22-22-22-22i−2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000-22−2i2i0000000000
χ472-222-2-22-2−2i2i−2i2i−2i2i2i−2i2-22-22-22-2−2i2i−2i2i−2i2i2i−2i000000000000000000000000000000000000002-2−2i2i0000000000
χ482-222-2-22-2−2i2i−2i2i−2i2i2i−2i2-22-22-22-2−2i2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000-222i−2i0000000000
χ492-22-222-2-22i−2i2i−2i−2i2i2i−2i2-222-2-2-222i−2i2i−2i−2i2i2i−2i2i−2i2-2000000002i−2i2i−2i2-22-200000000000000000000000000000000
χ502-22-222-2-22i−2i2i−2i−2i2i2i−2i2-222-2-2-222i−2i2i−2i−2i2i2i−2i−2i2i-2200000000−2i2i−2i2i-22-2200000000000000000000000000000000
χ512-22-222-2-22i−2i2i−2i−2i2i2i−2i-11-1-1111-1−ii−iii−i−ii2i−2i2-200000000−ii−ii-11-11−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ522-22-222-2-22i−2i2i−2i−2i2i2i−2i-11-1-1111-1−ii−iii−i−ii2i−2i2-200000000−ii−ii-11-11ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ532-22-222-2-22i−2i2i−2i−2i2i2i−2i-11-1-1111-1−ii−iii−i−ii−2i2i-2200000000i−ii−i1-11-1−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ542-22-222-2-22i−2i2i−2i−2i2i2i−2i-11-1-1111-1−ii−iii−i−ii−2i2i-2200000000i−ii−i1-11-1ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ552-22-222-2-2−2i2i−2i2i2i−2i−2i2i2-222-2-2-22−2i2i−2i2i2i−2i−2i2i2i−2i-22000000002i−2i2i−2i-22-2200000000000000000000000000000000
χ562-22-222-2-2−2i2i−2i2i2i−2i−2i2i2-222-2-2-22−2i2i−2i2i2i−2i−2i2i−2i2i2-200000000−2i2i−2i2i2-22-200000000000000000000000000000000
χ572-22-222-2-2−2i2i−2i2i2i−2i−2i2i-11-1-1111-1i−ii−i−iii−i2i−2i-2200000000−ii−ii1-11-1ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ582-22-222-2-2−2i2i−2i2i2i−2i−2i2i-11-1-1111-1i−ii−i−iii−i2i−2i-2200000000−ii−ii1-11-1−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ592-22-222-2-2−2i2i−2i2i2i−2i−2i2i-11-1-1111-1i−ii−i−iii−i−2i2i2-200000000i−ii−i-11-11ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ602-22-222-2-2−2i2i−2i2i2i−2i−2i2i-11-1-1111-1i−ii−i−iii−i−2i2i2-200000000i−ii−i-11-11−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ612-2-222-2-222-2-2222-2-22-2-2-2-22222-2-2222-2-2000000002i−2i2i−2i00000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ622-2-222-2-222-2-2222-2-22-2-2-2-22222-2-2222-2-200000000−2i2i−2i2i0000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ632-2-222-2-222-2-2222-2-2-11111-1-1-1-111-1-1-111000000002i−2i2i−2i−i3i3i3−i3−i3i3i3−i33−3−333−3−33−iii−ii−i−ii0000000000000000
χ642-2-222-2-222-2-2222-2-2-11111-1-1-1-111-1-1-111000000002i−2i2i−2ii3−i3−i3i3i3−i3−i3i3−333−3−333−3−iii−ii−i−ii0000000000000000
χ652-2-222-2-222-2-2222-2-2-11111-1-1-1-111-1-1-11100000000−2i2i−2i2i−i3i3i3−i3−i3i3i3−i3−333−3−333−3i−i−ii−iii−i0000000000000000
χ662-2-222-2-222-2-2222-2-2-11111-1-1-1-111-1-1-11100000000−2i2i−2i2ii3−i3−i3i3i3−i3−i3i33−3−333−3−33i−i−ii−iii−i0000000000000000
χ672-2-222-2-22-222-2-2-2222-2-2-2-2222-222-2-2-222000000002-2-2200000000000000002-2-222-2-220000000000000000
χ682-2-222-2-22-222-2-2-2222-2-2-2-2222-222-2-2-22200000000-222-20000000000000000-222-2-222-20000000000000000
χ692-2-222-2-22-222-2-2-222-11111-1-1-11-1-1111-1-1000000002-2-22−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3-111-1-111-10000000000000000
χ702-2-222-2-22-222-2-2-222-11111-1-1-11-1-1111-1-1000000002-2-22i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3-111-1-111-10000000000000000
χ712-2-222-2-22-222-2-2-222-11111-1-1-11-1-1111-1-100000000-222-2−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i31-1-111-1-110000000000000000
χ722-2-222-2-22-222-2-2-222-11111-1-1-11-1-1111-1-100000000-222-2i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i31-1-111-1-110000000000000000
χ732-2-2-2-22222-2-22-2-2222-2-2222-2-22-2-22-2-2220000000000000000000000000000000000000000000000002-22-2
χ742-2-2-2-22222-2-22-2-2222-2-2222-2-22-2-22-2-222000000000000000000000000000000000000000000000000-22-22
χ752-2-2-2-2222-222-222-2-22-2-2222-2-2-222-222-2-20000000000000000000000000000000000000000000000002i−2i−2i2i
χ762-2-2-2-2222-222-222-2-22-2-2222-2-2-222-222-2-2000000000000000000000000000000000000000000000000−2i2i2i−2i
χ77444-4-4-4-444444-4-4-4-4-2-2-222-222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ78444-4-4-4-44-4-4-4-44444-2-2-222-2222222-2-2-2-20000000000000000000000000000000000000000000000000000
χ7944-44-44-4-44i4i−4i−4i4i−4i4i−4i-2-22-222-22−2i−2i2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ8044-44-44-4-4−4i−4i4i4i−4i4i−4i4i-2-22-222-222i2i−2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ814-444-4-44-44i−4i4i−4i4i−4i−4i4i-22-22-22-22−2i2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ824-444-4-44-4−4i4i−4i4i−4i4i4i−4i-22-22-22-222i−2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ834-4-4-4-44444-4-44-4-444-222-2-2-222-222-222-2-20000000000000000000000000000000000000000000000000000
χ844-4-4-4-4444-444-444-4-4-222-2-2-2222-2-22-2-2220000000000000000000000000000000000000000000000000000

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