Finite Group Databasebeta

← Group #10828456

Character table — Group #10828456

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222234444444466666661212121212121212444444446666121212121212121212121212121212121212121288888888242424242424242424242424242424242222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ61111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ71111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111
χ81111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1
χ911111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1
χ1011111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111
χ1111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1211111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ1411111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ1511111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1
χ1611111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111
χ1722222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222222222-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-222-1-1-1-11111-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−30000000000000000
χ22222222222222-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-222-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−3330000000000000000
χ23222222222222-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222222222-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−30000000000000000
χ2722222222-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2922222222-2-2-2-2-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−3330000000000000000
χ3222222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−30000000000000000
χ3322222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3422222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−30000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−3330000000000000000
χ3722-2-22-22-2000022i2i−2i−2i22-2-222-2-22-2-22222-2-2-2-2002i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000002-20000002i−2i00
χ3822-2-22-22-2000022i2i−2i−2i22-2-222-2-22-2-22222-2-2-2-2002i−2i0000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000-22000000−2i2i00
χ3922-2-22-22-2000022i2i−2i−2i-2-22222-2-22-2-2-2-2-2-2222200−2i2i0000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000002-20000002i−2i
χ4022-2-22-22-2000022i2i−2i−2i-2-22222-2-22-2-2-2-2-2-2222200−2i2i0000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000-22000000−2i2i
χ4122-2-22-22-200002−2i−2i2i2i22-2-222-2-22-2-22222-2-2-2-200−2i2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000002-2000000−2i2i00
χ4222-2-22-22-200002−2i−2i2i2i22-2-222-2-22-2-22222-2-2-2-200−2i2i000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000-220000002i−2i00
χ4322-2-22-22-200002−2i−2i2i2i-2-22222-2-22-2-2-2-2-2-22222002i−2i000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000002-2000000−2i2i
χ4422-2-22-22-200002−2i−2i2i2i-2-22222-2-22-2-2-2-2-2-22222002i−2i000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000-220000002i−2i
χ452-22-2-2-22222-2-222-22-200002-22-2-22-2000000000000002-222-2-200002-22-2000022-2-200002−22−22−22−22−22−22−22−22−22−22−22−20000000000000000
χ462-22-2-2-22222-2-222-22-200002-22-2-22-2000000000000002-222-2-200002-22-2000022-2-20000−22−22−22−22−22−22−22−22−22−22−22−220000000000000000
χ472-22-2-2-22222-2-22-22-2200002-22-2-22-200000000000000-2222-2-20000-22-220000-2-22200002−22−2−22−222−22−22−22−2−22−22−22−220000000000000000
χ482-22-2-2-22222-2-22-22-2200002-22-2-22-200000000000000-2222-2-20000-22-220000-2-2220000−22−222−22−2−22−22−22−222−22−22−22−20000000000000000
χ492-22-2-2-22222-2-2-12-22-20000-11-111-1133−3−333−3−30000002-2-1-11133−3−3-11-113−33−3-1-11133−3−32−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ502-22-2-2-22222-2-2-12-22-20000-11-111-1133−3−333−3−30000002-2-1-11133−3−3-11-113−33−3-1-11133−3−3−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ512-22-2-2-22222-2-2-12-22-20000-11-111-11−3−333−3−3330000002-2-1-111−3−333-11-11−33−33-1-111−3−3332−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ522-22-2-2-22222-2-2-12-22-20000-11-111-11−3−333−3−3330000002-2-1-111−3−333-11-11−33−33-1-111−3−333−22−22−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ532-22-2-2-22222-2-2-1-22-220000-11-111-1133−3−333−3−3000000-22-1-11133−3−31-11-1−33−3311-1-1−3−3332−22−2−22−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ542-22-2-2-22222-2-2-1-22-220000-11-111-1133−3−333−3−3000000-22-1-11133−3−31-11-1−33−3311-1-1−3−333−22−222−22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ552-22-2-2-22222-2-2-1-22-220000-11-111-11−3−333−3−333000000-22-1-111−3−3331-11-13−33−311-1-133−3−32−22−2−22−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ562-22-2-2-22222-2-2-1-22-220000-11-111-11−3−333−3−333000000-22-1-111−3−3331-11-13−33−311-1-133−3−3−22−222−22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ572-22-2-2-222-2-22222-22-200002-22-2-22-200000000000000-22-2-22200002-22-20000-2-22200002−2−222−2−222−22−2−22−222−22−2−22−220000000000000000
χ582-22-2-2-222-2-22222-22-200002-22-2-22-200000000000000-22-2-22200002-22-20000-2-2220000−222−2−222−2−22−222−22−2−22−222−22−20000000000000000
χ592-22-2-2-222-2-2222-22-2200002-22-2-22-2000000000000002-2-2-2220000-22-22000022-2-200002−2−22−222−22−22−2−22−22−22−222−22−20000000000000000
χ602-22-2-2-222-2-2222-22-2200002-22-2-22-2000000000000002-2-2-2220000-22-22000022-2-20000−222−22−2−22−22−222−22−22−22−2−22−220000000000000000
χ612-22-2-2-222-2-222-12-22-20000-11-111-1133−3−333−3−3000000-2211-1-1−3−333-11-113−33−311-1-1−3−3332−2−222−2−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ622-22-2-2-222-2-222-12-22-20000-11-111-1133−3−333−3−3000000-2211-1-1−3−333-11-113−33−311-1-1−3−333−222−2−222−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ632-22-2-2-222-2-222-12-22-20000-11-111-11−3−333−3−333000000-2211-1-133−3−3-11-11−33−3311-1-133−3−32−2−222−2−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ642-22-2-2-222-2-222-12-22-20000-11-111-11−3−333−3−333000000-2211-1-133−3−3-11-11−33−3311-1-133−3−3−222−2−222−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ652-22-2-2-222-2-222-1-22-220000-11-111-1133−3−333−3−30000002-211-1-1−3−3331-11-1−33−33-1-11133−3−32−2−22−222−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ662-22-2-2-222-2-222-1-22-220000-11-111-1133−3−333−3−30000002-211-1-1−3−3331-11-1−33−33-1-11133−3−3−222−22−2−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ672-22-2-2-222-2-222-1-22-220000-11-111-11−3−333−3−3330000002-211-1-133−3−31-11-13−33−3-1-111−3−3332−2−22−222−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ682-22-2-2-222-2-222-1-22-220000-11-111-11−3−333−3−3330000002-211-1-133−3−31-11-13−33−3-1-111−3−333−222−22−2−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ692-2-2-222-222-22-2200002-22-2-2-2-2-22222-22-22-22-22-20000002-22-22-22-20000000000000000000000000000000000000000002-20000002-20000
χ702-2-2-222-222-22-2200002-22-2-2-2-2-22222-22-22-22-22-20000002-22-22-22-2000000000000000000000000000000000000000000-22000000-220000
χ712-2-2-222-222-22-220000-22-22-2-2-2-2222-22-22-22-22-220000002-22-2-22-2200000000000000000000000000000000000000002-20000002-2000000
χ722-2-2-222-222-22-220000-22-22-2-2-2-2222-22-22-22-22-220000002-22-2-22-220000000000000000000000000000000000000000-22000000-22000000
χ732-2-2-222-22-22-22200002-22-2-2-2-2-22222-22-22-22-2-22000000-22-22-22-220000000000000000000000000000000000000000002-2000000-220000
χ742-2-2-222-22-22-22200002-22-2-2-2-2-22222-22-22-22-2-22000000-22-22-22-22000000000000000000000000000000000000000000-220000002-20000
χ752-2-2-222-22-22-2220000-22-22-2-2-2-2222-22-22-22-222-2000000-22-222-22-200000000000000000000000000000000000000002-2000000-22000000
χ762-2-2-222-22-22-2220000-22-22-2-2-2-2222-22-22-22-222-2000000-22-222-22-20000000000000000000000000000000000000000-220000002-2000000
χ77444-4-44-4-40000400000000-444-4-4-440000000000004-400000000000000000000004-44-40000000000000000000000000000000000000000
χ78444-4-44-4-40000400000000-444-4-4-44000000000000-440000000000000000000000-44-440000000000000000000000000000000000000000
χ79444-4-44-4-40000-2000000002-2-2222-223−23−2323−232323−2300004-400000000000000000023−2323−23-22-220000000000000000000000000000000000000000
χ80444-4-44-4-40000-2000000002-2-2222-223−23−2323−232323−230000-44000000000000000000−2323−23232-22-20000000000000000000000000000000000000000
χ81444-4-44-4-40000-2000000002-2-2222-2−232323−2323−23−232300004-4000000000000000000−2323−2323-22-220000000000000000000000000000000000000000
χ82444-4-44-4-40000-2000000002-2-2222-2−232323−2323−23−23230000-4400000000000000000023−2323−232-22-20000000000000000000000000000000000000000
χ8344-44-4-4-444-4-44400000000-44-44-44-400000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ8444-44-4-4-444-4-44-2000000002-22-22-2223−23−232323−23−232300000000-222-223−23−232300000000000000000000000000000000000000000000000000000000
χ8544-44-4-4-444-4-44-2000000002-22-22-22−232323−23−232323−2300000000-222-2−232323−2300000000000000000000000000000000000000000000000000000000
χ8644-44-4-4-44-444-4400000000-44-44-44-40000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ8744-44-4-4-44-444-4-2000000002-22-22-2223−23−232323−23−2323000000002-2-22−232323−2300000000000000000000000000000000000000000000000000000000
χ8844-44-4-4-44-444-4-2000000002-22-22-22−232323−23−232323−23000000002-2-2223−23−232300000000000000000000000000000000000000000000000000000000
χ8944-4-44-44-40000-24i4i−4i−4i44-4-4-2-222-222-2-2-2-22222004i−4i000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ9044-4-44-44-40000-24i4i−4i−4i-4-444-2-222-2222222-2-2-2-200−4i4i000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ9144-4-44-44-40000-2−4i−4i4i4i44-4-4-2-222-222-2-2-2-2222200−4i4i0000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ9244-4-44-44-40000-2−4i−4i4i4i-4-444-2-222-2222222-2-2-2-2004i−4i0000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ934-4444-4-4-40000400004-4-44-4-4444-4-44-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4444-4-4-4000040000-444-4-4-4444-4-4-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4444-4-4-40000-200004-4-4422-2-2-222-22-222-22-200000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000
χ964-4444-4-4-40000-200004-4-4422-2-2-222-22-222-22-2000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000
χ974-4444-4-4-40000-20000-444-422-2-2-2222-22-2-22-2200000000000000000000000023−23−232323−23−23230000000000000000000000000000000000000000
χ984-4444-4-4-40000-20000-444-422-2-2-2222-22-2-22-22000000000000000000000000−232323−23−232323−230000000000000000000000000000000000000000
χ994-4-44-444-4000044i−4i−4i4i00004-4-44-4-440000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ1004-4-44-444-400004−4i4i4i−4i00004-4-44-4-44000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ1014-4-44-444-40000-24i−4i−4i4i0000-222-222-22323−23−23−23−2323230000000000000000−2i2i2i−2i2i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1024-4-44-444-40000-24i−4i−4i4i0000-222-222-2−23−2323232323−23−230000000000000000−2i2i2i−2i−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1034-4-44-444-40000-2−4i4i4i−4i0000-222-222-22323−23−23−23−23232300000000000000002i−2i−2i2i−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1044-4-44-444-40000-2−4i4i4i−4i0000-222-222-2−23−2323232323−23−2300000000000000002i−2i−2i2i2i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1054-4-4-444-444-44-4-200004-44-42222-2-2-2-22-22-22-224-4000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ1064-4-4-444-444-44-4-20000-44-442222-2-2-22-22-22-22-2-44000000-22-222-22-200000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-44-44-44-200004-44-42222-2-2-2-22-22-22-22-440000002-22-22-22-200000000000000000000000000000000000000000000000000000000
χ1084-4-4-444-44-44-44-20000-44-442222-2-2-22-22-22-22-24-40000002-22-2-22-2200000000000000000000000000000000000000000000000000000000

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