Finite Group Databasebeta

← Group #10876142

Character table — Group #10876142

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222344444444444466666661212121212121212224444446666121212121212121212121212121212121212121288888888242424242424242424242424242424242244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ61111111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ71111111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111
χ81111111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111
χ13111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ14111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ15111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ16111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1722222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ19222222222-2-2-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-222220000000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
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
χ2322222222-122222222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111110000000033−3−333−3−333−3−333−3−30000000000000000
χ2422222222-122222222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−3−333−3−333−3−333−3−3330000000000000000
χ2522222222-12222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-21111-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2622222222-12222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-21111-1-1-1-1-1-1-1-1111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-1-1-1-1-1111111111111-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000000000
χ2822222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-1-1-1-1-1111111111111-1-1-1-100000000−3−333−3−33333−3−333−3−30000000000000000
χ2922222222-1-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-111111111-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-1-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-10000000033−3−3−3−33333−3−3−3−3330000000000000000
χ3222222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-100000000−3−33333−3−3−3−33333−3−30000000000000000
χ3322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3422222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000033−3−3−3−333−3−33333−3−30000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−3−33333−3−333−3−3−3−3330000000000000000
χ3722-2-2-222-222i2i−2i−2i000022-2-222-2-22-2-22222-2-2-2-2002i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000002-2000000002i−2i0000
χ3822-2-2-222-222i2i−2i−2i000022-2-222-2-22-2-22222-2-2-2-2002i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000-2200000000−2i2i0000
χ3922-2-2-222-222i2i−2i−2i0000-2-22222-2-22-2-2-2-2-2-2222200−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000002i−2i2-20000000000
χ4022-2-2-222-222i2i−2i−2i0000-2-22222-2-22-2-2-2-2-2-2222200−2i2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000−2i2i-220000000000
χ4122-2-2-222-22−2i−2i2i2i000022-2-222-2-22-2-22222-2-2-2-200−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000002-200000000−2i2i0000
χ4222-2-2-222-22−2i−2i2i2i000022-2-222-2-22-2-22222-2-2-2-200−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000-22000000002i−2i0000
χ4322-2-2-222-22−2i−2i2i2i0000-2-22222-2-22-2-2-2-2-2-22222002i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000002i−2i-220000000000
χ4422-2-2-222-22−2i−2i2i2i0000-2-22222-2-22-2-2-2-2-2-22222002i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000−2i2i2-20000000000
χ452-222-22-2-22000022-2-22-22-2-2-2-2-222222-2-222-2-22-200000022-2-20000000022-2-200000000000000000000000000000000000000002i−2i002i−2i00
χ462-222-22-2-22000022-2-22-22-2-2-2-2-222222-2-222-2-22-200000022-2-20000000022-2-20000000000000000000000000000000000000000−2i2i00−2i2i00
χ472-222-22-2-22000022-2-2-22-22-2-2-2-2222-2-222-2-222-22000000-2-2220000000022-2-2000000000000000000000000000000000000002i−2i0000002i−2i
χ482-222-22-2-22000022-2-2-22-22-2-2-2-2222-2-222-2-222-22000000-2-2220000000022-2-200000000000000000000000000000000000000−2i2i000000−2i2i
χ492-222-22-2-220000-2-2222-22-2-2-2-2-222222-2-222-2-2-22000000-2-22200000000-2-22200000000000000000000000000000000000000002i−2i00−2i2i00
χ502-222-22-2-220000-2-2222-22-2-2-2-2-222222-2-222-2-2-22000000-2-22200000000-2-2220000000000000000000000000000000000000000−2i2i002i−2i00
χ512-222-22-2-220000-2-222-22-22-2-2-2-2222-2-222-2-2222-200000022-2-200000000-2-222000000000000000000000000000000000000002i−2i000000−2i2i
χ522-222-22-2-220000-2-222-22-22-2-2-2-2222-2-222-2-2222-200000022-2-200000000-2-22200000000000000000000000000000000000000−2i2i0000002i−2i
χ532-22-22-22-222i−2i2i−2i2i−2i2i−2i00002-22-2-22-20000000000002-20000002i−2i2i−2i00002i−2i2i−2i22-2-200002−2−i2i2−i2i22−22−22−2−i2i2−i2i2−i2i2−i2i22−22−20000000000000000
χ542-22-22-22-222i−2i2i−2i2i−2i2i−2i00002-22-2-22-20000000000002-20000002i−2i2i−2i00002i−2i2i−2i22-2-20000−22i2−i2i2−i2−22−22−22i2−i2i2−i2i2−i2i2−i2−22−220000000000000000
χ552-22-22-22-222i−2i2i−2i−2i2i−2i2i00002-22-2-22-2000000000000-220000002i−2i2i−2i0000−2i2i−2i2i-2-22200002−2−i2i2i2−i2−222−22−2−i2i2−i2i2i2−i2i2−i2−22−220000000000000000
χ562-22-22-22-222i−2i2i−2i−2i2i−2i2i00002-22-2-22-2000000000000-220000002i−2i2i−2i0000−2i2i−2i2i-2-2220000−22i2−i2−i2i22−2−22−22i2−i2i2−i2−i2i2−i2i22−22−20000000000000000
χ572-22-22-22-22−2i2i−2i2i2i−2i2i−2i00002-22-2-22-2000000000000-22000000−2i2i−2i2i00002i−2i2i−2i-2-22200002−2i2−i2−i2i2−222−22−2i2−i2i2−i2−i2i2−i2i2−22−220000000000000000
χ582-22-22-22-22−2i2i−2i2i2i−2i2i−2i00002-22-2-22-2000000000000-22000000−2i2i−2i2i00002i−2i2i−2i-2-2220000−22−i2i2i2−i22−2−22−22−i2i2−i2i2i2−i2i2−i22−22−20000000000000000
χ592-22-22-22-22−2i2i−2i2i−2i2i−2i2i00002-22-2-22-20000000000002-2000000−2i2i−2i2i0000−2i2i−2i2i22-2-200002−2i2−i2i2−i22−22−22−2i2−i2i2−i2i2−i2i2−i22−22−20000000000000000
χ602-22-22-22-22−2i2i−2i2i−2i2i−2i2i00002-22-2-22-20000000000002-2000000−2i2i−2i2i0000−2i2i−2i2i22-2-20000−22−i2i2−i2i2−22−22−22−i2i2−i2i2−i2i2−i2i2−22−220000000000000000
χ612-22-22-22-2-12i−2i2i−2i2i−2i2i−2i0000-11-111-113−33−33−33−300002-200−i3i3−i3i3−ii−ii−i3i3−i3i3−ii−ii-1-11133−3−32−2−i2i2−i2i22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ622-22-22-22-2-12i−2i2i−2i2i−2i2i−2i0000-11-111-113−33−33−33−300002-200−i3i3−i3i3−ii−ii−i3i3−i3i3−ii−ii-1-11133−3−3−22i2−i2i2−i2−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ632-22-22-22-2-12i−2i2i−2i2i−2i2i−2i0000-11-111-11−33−33−33−3300002-200i3−i3i3−i3−ii−iii3−i3i3−i3−ii−ii-1-111−3−3332−2−i2i2−i2i22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ642-22-22-22-2-12i−2i2i−2i2i−2i2i−2i0000-11-111-11−33−33−33−3300002-200i3−i3i3−i3−ii−iii3−i3i3−i3−ii−ii-1-111−3−333−22i2−i2i2−i2−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ652-22-22-22-2-12i−2i2i−2i−2i2i−2i2i0000-11-111-113−33−33−33−30000-2200i3−i3i3−i3−ii−ii−i3i3−i3i3i−ii−i11-1-1−3−3332−2−i2i2i2−i2−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ662-22-22-22-2-12i−2i2i−2i−2i2i−2i2i0000-11-111-113−33−33−33−30000-2200i3−i3i3−i3−ii−ii−i3i3−i3i3i−ii−i11-1-1−3−333−22i2−i2−i2i22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ672-22-22-22-2-12i−2i2i−2i−2i2i−2i2i0000-11-111-11−33−33−33−330000-2200−i3i3−i3i3−ii−iii3−i3i3−i3i−ii−i11-1-133−3−32−2−i2i2i2−i2−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ682-22-22-22-2-12i−2i2i−2i−2i2i−2i2i0000-11-111-11−33−33−33−330000-2200−i3i3−i3i3−ii−iii3−i3i3−i3i−ii−i11-1-133−3−3−22i2−i2−i2i22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ692-22-22-22-2-1−2i2i−2i2i2i−2i2i−2i0000-11-111-113−33−33−33−30000-2200−i3i3−i3i3i−ii−ii3−i3i3−i3−ii−ii11-1-1−3−3332−2i2−i2−i2i2−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ702-22-22-22-2-1−2i2i−2i2i2i−2i2i−2i0000-11-111-113−33−33−33−30000-2200−i3i3−i3i3i−ii−ii3−i3i3−i3−ii−ii11-1-1−3−333−22−i2i2i2−i22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ712-22-22-22-2-1−2i2i−2i2i2i−2i2i−2i0000-11-111-11−33−33−33−330000-2200i3−i3i3−i3i−ii−i−i3i3−i3i3−ii−ii11-1-133−3−32−2i2−i2−i2i2−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ722-22-22-22-2-1−2i2i−2i2i2i−2i2i−2i0000-11-111-11−33−33−33−330000-2200i3−i3i3−i3i−ii−i−i3i3−i3i3−ii−ii11-1-133−3−3−22−i2i2i2−i22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ732-22-22-22-2-1−2i2i−2i2i−2i2i−2i2i0000-11-111-113−33−33−33−300002-200i3−i3i3−i3i−ii−ii3−i3i3−i3i−ii−i-1-11133−3−32−2i2−i2i2−i22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ742-22-22-22-2-1−2i2i−2i2i−2i2i−2i2i0000-11-111-113−33−33−33−300002-200i3−i3i3−i3i−ii−ii3−i3i3−i3i−ii−i-1-11133−3−3−22−i2i2−i2i2−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ752-22-22-22-2-1−2i2i−2i2i−2i2i−2i2i0000-11-111-11−33−33−33−3300002-200−i3i3−i3i3i−ii−i−i3i3−i3i3i−ii−i-1-111−3−3332−2i2−i2i2−i22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ762-22-22-22-2-1−2i2i−2i2i−2i2i−2i2i0000-11-111-11−33−33−33−3300002-200−i3i3−i3i3i−ii−i−i3i3−i3i3i−ii−i-1-111−3−333−22−i2i2−i2i2−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ77444-4-4-4-44400004i−4i−4i4i0000-44-44-44-400000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ78444-4-4-4-4440000−4i4i4i−4i0000-44-44-44-40000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ79444-4-4-4-44-200004i−4i−4i4i00002-22-22-2223−23−232323−23−232300000000−2i32i32i3−2i300000000−2i2i2i−2i000000000000000000000000000000000000000000000000
χ80444-4-4-4-44-200004i−4i−4i4i00002-22-22-22−232323−23−232323−23000000002i3−2i3−2i32i300000000−2i2i2i−2i000000000000000000000000000000000000000000000000
χ81444-4-4-4-44-20000−4i4i4i−4i00002-22-22-2223−23−232323−23−2323000000002i3−2i3−2i32i3000000002i−2i−2i2i000000000000000000000000000000000000000000000000
χ82444-4-4-4-44-20000−4i4i4i−4i00002-22-22-22−232323−23−232323−2300000000−2i32i32i3−2i3000000002i−2i−2i2i000000000000000000000000000000000000000000000000
χ8344-444-4-4-44000000000000-444-4-4-44000000000000004-4000000000000000000004-44-40000000000000000000000000000000000000000
χ8444-444-4-4-44000000000000-444-4-4-4400000000000000-4400000000000000000000-44-440000000000000000000000000000000000000000
χ8544-444-4-4-4-20000000000002-2-2222-223−23−2323−232323−230000004-4000000000000000023−2323−23-22-220000000000000000000000000000000000000000
χ8644-444-4-4-4-20000000000002-2-2222-223−23−2323−232323−23000000-440000000000000000−2323−23232-22-20000000000000000000000000000000000000000
χ8744-444-4-4-4-20000000000002-2-2222-2−232323−2323−23−23230000004-40000000000000000−2323−2323-22-220000000000000000000000000000000000000000
χ8844-444-4-4-4-20000000000002-2-2222-2−232323−2323−23−2323000000-44000000000000000023−2323−232-22-20000000000000000000000000000000000000000
χ8944-4-4-444-4-24i4i−4i−4i000044-4-4-2-222-222-2-2-2-22222004i−4i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ9044-4-4-444-4-24i4i−4i−4i0000-4-444-2-222-2222222-2-2-2-200−4i4i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ9144-4-4-444-4-2−4i−4i4i4i000044-4-4-2-222-222-2-2-2-2222200−4i4i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ9244-4-4-444-4-2−4i−4i4i4i0000-4-444-2-222-2222222-2-2-2-2004i−4i000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ934-444-44-4-4-2000044-4-44-44-42222-2-2-2-2-222-2-2224-4000000-2-22200000000-2-222000000000000000000000000000000000000000000000000
χ944-444-44-4-4-2000044-4-4-44-442222-2-2-222-2-222-2-2-4400000022-2-200000000-2-222000000000000000000000000000000000000000000000000
χ954-444-44-4-4-20000-4-4444-44-42222-2-2-2-2-222-2-222-4400000022-2-20000000022-2-2000000000000000000000000000000000000000000000000
χ964-444-44-4-4-20000-4-444-44-442222-2-2-222-2-222-2-24-4000000-2-2220000000022-2-2000000000000000000000000000000000000000000000000
χ974-4-44-4-44444-4-44000000004-4-44-4-44000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ984-4-44-4-4444-444-4000000004-4-44-4-4400000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ994-4-44-4-444-24-4-4400000000-222-222-223−2323−23−2323−2323000000000000-222-2−232323−230000000000000000000000000000000000000000000000000000
χ1004-4-44-4-444-24-4-4400000000-222-222-2−2323−232323−2323−23000000000000-222-223−23−23230000000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-2-444-400000000-222-222-223−2323−23−2323−23230000000000002-2-2223−23−23230000000000000000000000000000000000000000000000000000
χ1024-4-44-4-444-2-444-400000000-222-222-2−2323−232323−2323−230000000000002-2-22−232323−230000000000000000000000000000000000000000000000000000
χ1034-4-4-444-444000000004-4-44-4-4444-4-444-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-444-44400000000-444-4-4-4444-4-4-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4-444-44-2000000004-4-4422-2-2-222-2-22222-2-200000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000
χ1064-4-4-444-44-2000000004-4-4422-2-2-222-2-22222-2-2000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000
χ1074-4-4-444-44-200000000-444-422-2-2-22222-2-2-2-22200000000000000000000000023−23−232323−23−23230000000000000000000000000000000000000000
χ1084-4-4-444-44-200000000-444-422-2-2-22222-2-2-2-222000000000000000000000000−232323−23−232323−230000000000000000000000000000000000000000

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