Finite Group Databasebeta

← Group #10896505

Character table — Group #10896505

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order122222223444444444444666666612121212121212124444444412121212121212121212121212121212121212121212121288888888242424242424242424242424242424244444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1-1-111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111-1-1-1-111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111-1-1-1-111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111-1-1-1-111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1211111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222-2-222222222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ18222222222-2-22222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ19222222222-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2122222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2322222222-1222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2422222222-1222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2622222222-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ2722222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2822222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ2922222222-1-2-222222222-2-2-1-1-1-1-1-1-111111111-2-2-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−30000000000000000
χ3022222222-1-2-222222222-2-2-1-1-1-1-1-1-111111111-2-2-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−3330000000000000000
χ3122222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000000000
χ3222222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−30000000000000000
χ3322222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−3330000000000000000
χ3422222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−30000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−30000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−3330000000000000000
χ37222-22-2-2-2222000022-2-2-2-2222-2-2-2-22222-2-2-2-22-20000000000000022-2-222-2-20000000000000000000000000000000000000000002-2002-2
χ38222-22-2-2-2222000022-2-2-2-2222-2-2-2-22222-2-2-2-22-20000000000000022-2-222-2-2000000000000000000000000000000000000000000-2200-22
χ39222-22-2-2-22220000-2-222-2-2222-2-2-2-22222-2-2-2-2-2200000000000000-2-222-2-2220000000000000000000000000000000000000000002-200-22
χ40222-22-2-2-22220000-2-222-2-2222-2-2-2-22222-2-2-2-2-2200000000000000-2-222-2-222000000000000000000000000000000000000000000-22002-2
χ41222-22-2-2-22-2-2000022-2-222222-2-2-2-2-2-2-2-22222-220000000000000022-2-2-2-22200000000000000000000000000000000000000002i−2i002i−2i00
χ42222-22-2-2-22-2-2000022-2-222222-2-2-2-2-2-2-2-22222-220000000000000022-2-2-2-2220000000000000000000000000000000000000000−2i2i00−2i2i00
χ43222-22-2-2-22-2-20000-2-22222222-2-2-2-2-2-2-2-222222-200000000000000-2-22222-2-200000000000000000000000000000000000000002i−2i00−2i2i00
χ44222-22-2-2-22-2-20000-2-22222222-2-2-2-2-2-2-2-222222-200000000000000-2-22222-2-20000000000000000000000000000000000000000−2i2i002i−2i00
χ4522-2-2-222-222-22i2i−2i−2i00002-22-2-222-2-222-2-222-2-2002i−2i00002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000002-22i−2i00000000
χ4622-2-2-222-222-22i2i−2i−2i00002-22-2-222-2-222-2-222-2-2002i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000-22−2i2i00000000
χ4722-2-2-222-222-2−2i−2i2i2i00002-22-2-222-2-222-2-222-2-200−2i2i0000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000002-2−2i2i00000000
χ4822-2-2-222-222-2−2i−2i2i2i00002-22-2-222-2-222-2-222-2-200−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000-222i−2i00000000
χ4922-2-2-222-22-222i2i−2i−2i0000-222-2-222-2-2-2-222-2-22200−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000002i−2i2-2000000000000
χ5022-2-2-222-22-222i2i−2i−2i0000-222-2-222-2-2-2-222-2-22200−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000−2i2i-22000000000000
χ5122-2-2-222-22-22−2i−2i2i2i0000-222-2-222-2-2-2-222-2-222002i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000002i−2i-22000000000000
χ5222-2-2-222-22-22−2i−2i2i2i0000-222-2-222-2-2-2-222-2-222002i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000−2i2i2-2000000000000
χ532-2-2222-2-22002-22-22-22-200-22-22-22-20000000000002-2002-22-200002-22-2000022-2-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ542-2-2222-2-22002-22-22-22-200-22-22-22-20000000000002-2002-22-200002-22-2000022-2-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ552-2-2222-2-22002-22-2-22-2200-22-22-22-2000000000000-22002-22-20000-22-220000-2-2220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ562-2-2222-2-22002-22-2-22-2200-22-22-22-2000000000000-22002-22-20000-22-220000-2-2220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ572-2-2222-2-2200-22-222-22-200-22-22-22-2000000000000-2200-22-2200002-22-20000-2-2220000−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ582-2-2222-2-2200-22-222-22-200-22-22-22-2000000000000-2200-22-2200002-22-20000-2-2220000i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ592-2-2222-2-2200-22-22-22-2200-22-22-22-20000000000002-200-22-220000-22-22000022-2-20000−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ602-2-2222-2-2200-22-22-22-2200-22-22-22-20000000000002-200-22-220000-22-22000022-2-20000i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ612-2-2222-2-2-1002-22-22-22-2001-11-11-113−33−33−33−300002-200-11-113−33−3-11-113−33−3-1-11133−3−3−i2i2−i2i2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ622-2-2222-2-2-1002-22-22-22-2001-11-11-113−33−33−33−300002-200-11-113−33−3-11-113−33−3-1-11133−3−3i2−i2i2−i2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ632-2-2222-2-2-1002-22-22-22-2001-11-11-11−33−33−33−3300002-200-11-11−33−33-11-11−33−33-1-111−3−333−i2i2−i2i2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ642-2-2222-2-2-1002-22-22-22-2001-11-11-11−33−33−33−3300002-200-11-11−33−33-11-11−33−33-1-111−3−333i2−i2i2−i2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ652-2-2222-2-2-1002-22-2-22-22001-11-11-113−33−33−33−30000-2200-11-113−33−31-11-1−33−3311-1-1−3−333−i2i2−i2i2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ662-2-2222-2-2-1002-22-2-22-22001-11-11-113−33−33−33−30000-2200-11-113−33−31-11-1−33−3311-1-1−3−333i2−i2i2−i2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ672-2-2222-2-2-1002-22-2-22-22001-11-11-11−33−33−33−330000-2200-11-11−33−331-11-13−33−311-1-133−3−3−i2i2−i2i2i2−i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ682-2-2222-2-2-1002-22-2-22-22001-11-11-11−33−33−33−330000-2200-11-11−33−331-11-13−33−311-1-133−3−3i2−i2i2−i2−i2i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ692-2-2222-2-2-100-22-222-22-2001-11-11-113−33−33−33−30000-22001-11-1−33−33-11-113−33−311-1-1−3−333−i2i2i2−i2−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ702-2-2222-2-2-100-22-222-22-2001-11-11-113−33−33−33−30000-22001-11-1−33−33-11-113−33−311-1-1−3−333i2−i2−i2i2i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ712-2-2222-2-2-100-22-222-22-2001-11-11-11−33−33−33−330000-22001-11-13−33−3-11-11−33−3311-1-133−3−3−i2i2i2−i2−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ722-2-2222-2-2-100-22-222-22-2001-11-11-11−33−33−33−330000-22001-11-13−33−3-11-11−33−3311-1-133−3−3i2−i2−i2i2i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ732-2-2222-2-2-100-22-22-22-22001-11-11-113−33−33−33−300002-2001-11-1−33−331-11-1−33−33-1-11133−3−3−i2i2i2−i2i2−i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ742-2-2222-2-2-100-22-22-22-22001-11-11-113−33−33−33−300002-2001-11-1−33−331-11-1−33−33-1-11133−3−3i2−i2−i2i2−i2i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ752-2-2222-2-2-100-22-22-22-22001-11-11-11−33−33−33−3300002-2001-11-13−33−31-11-13−33−3-1-111−3−333−i2i2i2−i2i2−i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ762-2-2222-2-2-100-22-22-22-22001-11-11-11−33−33−33−3300002-2001-11-13−33−31-11-13−33−3-1-111−3−333i2−i2−i2i2−i2i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ77444-44-4-4-4-244000044-4-4-4-4-2-2-22222-2-2-2-222224-400000000000000-2-222-2-222000000000000000000000000000000000000000000000000
χ78444-44-4-4-4-2440000-4-444-4-4-2-2-22222-2-2-2-22222-440000000000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ79444-44-4-4-4-2-4-4000044-4-444-2-2-222222222-2-2-2-2-4400000000000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ80444-44-4-4-4-2-4-40000-4-44444-2-2-222222222-2-2-2-24-40000000000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ8144-44-4-4-4444-400000000-444-4-4-4-44444-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8244-44-4-4-444-44000000004-44-4-4-4-444-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8344-44-4-4-44-24-400000000-44-22222-2-2-2-22222-2-200000000000000000000000023−2323−2323−2323−230000000000000000000000000000000000000000
χ8444-44-4-4-44-24-400000000-44-22222-2-2-2-22222-2-2000000000000000000000000−2323−2323−2323−23230000000000000000000000000000000000000000
χ8544-44-4-4-44-2-44000000004-4-22222-2-222-2-2-2-22200000000000000000000000023−2323−23−2323−23230000000000000000000000000000000000000000
χ8644-44-4-4-44-2-44000000004-4-22222-2-222-2-2-2-222000000000000000000000000−2323−232323−2323−230000000000000000000000000000000000000000
χ8744-4-4-444-4-24-44i4i−4i−4i00004-4-222-2-222-2-222-2-222004i−4i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ8844-4-4-444-4-24-4−4i−4i4i4i00004-4-222-2-222-2-222-2-22200−4i4i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ8944-4-4-444-4-2-444i4i−4i−4i0000-44-222-2-22222-2-222-2-200−4i4i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ9044-4-4-444-4-2-44−4i−4i4i4i0000-44-222-2-22222-2-222-2-2004i−4i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ914-444-4-44-44000000000000-4-44-444-4000000000000004-4000000000000000000004-4-440000000000000000000000000000000000000000
χ924-444-4-44-44000000000000-4-44-444-400000000000000-4400000000000000000000-444-40000000000000000000000000000000000000000
χ934-444-4-44-4-200000000000022-22-2-2223−23−2323−232323−230000004-40000000000000000−232323−23-222-20000000000000000000000000000000000000000
χ944-444-4-44-4-200000000000022-22-2-2223−23−2323−232323−23000000-44000000000000000023−23−23232-2-220000000000000000000000000000000000000000
χ954-444-4-44-4-200000000000022-22-2-22−232323−2323−23−23230000004-4000000000000000023−23−2323-222-20000000000000000000000000000000000000000
χ964-444-4-44-4-200000000000022-22-2-22−232323−2323−23−2323000000-440000000000000000−232323−232-2-220000000000000000000000000000000000000000
χ974-44-4-44-444004i−4i−4i4i000000-4-444-4-4400000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ984-44-4-44-44400−4i4i4i−4i000000-4-444-4-440000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ994-44-4-44-44-2004i−4i−4i4i00000022-2-222-223−23−232323−23−232300000000−2i2i2i−2i2i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1004-44-4-44-44-2004i−4i−4i4i00000022-2-222-2−232323−23−232323−2300000000−2i2i2i−2i−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ1014-44-4-44-44-200−4i4i4i−4i00000022-2-222-223−23−232323−23−2323000000002i−2i−2i2i−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ1024-44-4-44-44-200−4i4i4i−4i00000022-2-222-2−232323−23−232323−23000000002i−2i−2i2i2i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1034-4-4-44-44440000004-4-4400-44-4-44-440000000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ1044-4-4-44-4444000000-444-400-44-4-44-44000000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ1054-4-4-44-444-20000004-4-44002-222-22-223−2323−23−2323−23230000000000000000-222-223−23−2323000000000000000000000000000000000000000000000000
χ1064-4-4-44-444-20000004-4-44002-222-22-2−2323−232323−2323−230000000000000000-222-2−232323−23000000000000000000000000000000000000000000000000
χ1074-4-4-44-444-2000000-444-4002-222-22-223−2323−23−2323−232300000000000000002-2-22−232323−23000000000000000000000000000000000000000000000000
χ1084-4-4-44-444-2000000-444-4002-222-22-2−2323−232323−2323−2300000000000000002-2-2223−23−2323000000000000000000000000000000000000000000000000

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