Finite Group Databasebeta

← Group #11779346

Character table — Group #11779346

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412122424242424242424242424242436364848484848727272
order12223344446666661212121234666888812121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444224881212121224242424444661212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-111-1-11-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-11-1-111-111
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-111-1-1-111
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1
χ92222222-2-22222222-2-2-2-22-2222000022-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002200-20022-2-200000000000000
χ102222222-2-22222222-2-2-2-22-2222000022-2-2222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200200-2-22200000000000000
χ11222222-222-222222222222-22220000-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000002200000-200
χ12222222-222-222222222222-22220000-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000-2-200000200
χ13222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000002-2000000000000002-200000
χ14222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000-2200000000000000-2200000
χ1522222-122222-1-122-12222-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000000002-1-1-1-1000
χ1622222-122222-1-122-12222-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000000000000-21111000
χ1722222-122222-1-122-12222-12-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100220000000000000-2-1-111000
χ1822222-122222-1-122-12222-12-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100-2-20000000000000211-1-1000
χ1922222-1-2-2-2-22-1-122-1-2-2-2-2-12-1-1-100001111-2-21111111122-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3002-200000000000000-11−i3i3000
χ2022222-1-2-2-2-22-1-122-1-2-2-2-2-12-1-1-100001111-2-21111111122-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i300-22000000000000001-1i3−i3000
χ2122222-1-2-2-2-22-1-122-1-2-2-2-2-12-1-1-100001111-2-21111111122-1-1-1-1-1-100000000i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3002-200000000000000-11i3−i3000
χ2222222-1-2-2-2-22-1-122-1-2-2-2-2-12-1-1-100001111-2-21111111122-1-1-1-1-1-100000000i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i300-22000000000000001-1−i3i3000
χ232222-122222-122-1-12-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200222-1-1-1-1-1-1-1-10000000000
χ242222-122222-122-1-12-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2-2111111110000000000
χ252222-122222-122-1-12-1-1-1-1-12-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-21111111122002-2-2-1-1-1-111110000000000
χ262222-122222-122-1-12-1-1-1-1-12-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-211111111-2-200-2221111-1-1-1-10000000000
χ272222-122-2-22-122-1-121111-1-2-1-1-1000022-2-2-1-1-1-1-1-1111111-2-211113333−3−3−3−300003333−3−3−3−300003333−3−3−3−32200-200-1-11133−3−30000000000
χ282222-122-2-22-122-1-121111-1-2-1-1-1000022-2-2-1-1-1-1-1-1111111-2-211113333−3−3−3−300003333−3−3−3−300003333−3−3−3−3-2-20020011-1-1−3−3330000000000
χ292222-122-2-22-122-1-121111-1-2-1-1-1000022-2-2-1-1-1-1-1-1111111-2-21111−3−3−3−333330000−3−3−3−333330000−3−3−3−333332200-200-1-111−3−3330000000000
χ302222-122-2-22-122-1-121111-1-2-1-1-1000022-2-2-1-1-1-1-1-1111111-2-21111−3−3−3−333330000−3−3−3−333330000−3−3−3−33333-2-20020011-1-133−3−30000000000
χ3122-2-222-2002-22-22-2-20000202-2-2−i2−i2i2i22-2002-222-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i−2i0002−22i−2i002−22−20000000000
χ3222-2-222-2002-22-22-2-20000202-2-2−i2−i2i2i22-2002-222-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2i2i000−22−2i2i00−22−220000000000
χ3322-2-222-2002-22-22-2-20000202-2-2i2i2−i2−i22-2002-222-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22i−2i000−222i−2i00−22−220000000000
χ3422-2-222-2002-22-22-2-20000202-2-2i2i2−i2−i22-2002-222-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i2i0002−2−2i2i002−22−20000000000
χ3522-2-2-12-200212-2-11-23−33−3-10-111−i2−i2i2i22-200-11-1-11133−3−33−30033−3−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ232i−2i0002−2−ii−i3i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000
χ3622-2-2-12-200212-2-11-23−33−3-10-111−i2−i2i2i22-200-11-1-11133−3−33−30033−3−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−2i2i000−22i−ii3−i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
χ3722-2-2-12-200212-2-11-23−33−3-10-111i2i2−i2−i22-200-11-1-11133−3−33−30033−3−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ232i−2i000−22−ii−i3i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
χ3822-2-2-12-200212-2-11-23−33−3-10-111i2i2−i2−i22-200-11-1-11133−3−33−30033−3−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−2i2i0002−2i−ii3−i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000
χ3922-2-2-12-200212-2-11-2−33−33-10-111−i2−i2i2i22-200-11-1-111−3−333−3300−3−333ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72i−2i0002−2−iii3−i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ4022-2-2-12-200212-2-11-2−33−33-10-111−i2−i2i2i22-200-11-1-111−3−333−3300−3−333ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−2i2i000−22i−i−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ4122-2-2-12-200212-2-11-2−33−33-10-111i2i2−i2−i22-200-11-1-111−3−333−3300−3−333−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ72i−2i000−22−iii3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ4222-2-2-12-200212-2-11-2−33−33-10-111i2i2−i2−i22-200-11-1-111−3−333−3300−3−333−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−2i2i0002−2i−i−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ432-22-2220-2202-22-2-2-2-2-22220-22-2−i2i2−i2i2002-20000002-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000002i−2i0000002−2
χ442-22-2220-2202-22-2-2-2-2-22220-22-2−i2i2−i2i2002-20000002-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000−2i2i000000−22
χ452-22-2220-2202-22-2-2-2-2-22220-22-2i2−i2i2−i2002-20000002-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000002i−2i000000−22
χ462-22-2220-2202-22-2-2-2-2-22220-22-2i2−i2i2−i2002-20000002-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000−2i2i0000002−2
χ4744444-24-4-444-2-244-2-4-4-4-4-2-4-2-2-20000-2-22244-2-2-2-22222-4-4222222000000000000000000000000000000000000000000000000000000000
χ4844444-2-444-44-2-244-24444-2-4-2-2-2000022-2-2-4-42222-2-2-2-2-4-4222222000000000000000000000000000000000000000000000000000000000
χ494444-24-444-4-244-2-24-2-2-2-2-2-4-2-2-20000-4-444222222-2-2-2-222-4-42222000000000000000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-244-2-242222-24-2-2-20000-4-4-4-42222222222-2-244-2-2-2-2000000000000000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-2-2-2-2-2141114444-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2111111110000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211111111-2-2-2-21111222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000
χ534444-2-24-4-44-2-2-2-2-2-222221-41110000-2-222-2-21111-1-1-1-12222-1-1-1-123232323−23−23−23−230000−3−3−3−333330000−3−3−3−333330000000000000000000000000
χ544444-2-24-4-44-2-2-2-2-2-222221-41110000-2-222-2-21111-1-1-1-12222-1-1-1-1−23−23−23−232323232300003333−3−3−3−300003333−3−3−3−30000000000000000000000000
χ554444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-4111000022-2-222-1-1-1-111112222-1-1-1-10000000000003i3i3i3i−3i−3i−3i−3i0000−3i−3i−3i−3i3i3i3i3i0000000000000000000000000
χ564444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-4111000022-2-222-1-1-1-111112222-1-1-1-1000000000000−3i−3i−3i−3i3i3i3i3i00003i3i3i3i−3i−3i−3i−3i0000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222141110000222222-1-1-1-1-1-1-1-1-2-2-2-2111100000000−2i3−2i3−2i3−2i3i3i3i3i3i3i3i3i32i32i32i32i3−i3−i3−i3−i3−i3−i3−i3−i30000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222141110000222222-1-1-1-1-1-1-1-1-2-2-2-21111000000002i32i32i32i3−i3−i3−i3−i3−i3−i3−i3−i3−2i3−2i3−2i3−2i3i3i3i3i3i3i3i3i30000000000000000000000000
χ5944-4-444400-4-44-44-4-40000404-4-40000-4400-44-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ6044-4-44-2400-4-4-224-420000-20-22200002-200-4422-2-20000000000000000000066−6−666−6−666−6−6−6−666−6−666−6−6660000000000000000000000000
χ6144-4-44-2400-4-4-224-420000-20-22200002-200-4422-2-200000000000000000000−6−666−6−666−6−66666−6−666−6−666−6−60000000000000000000000000
χ6244-4-44-2-4004-4-224-420000-20-222−2i2−2i22i22i2-22004-4-2-222000000000000−2i2−2i22i22i2−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000000
χ6344-4-44-2-4004-4-224-420000-20-2222i22i2−2i2−2i2-22004-4-2-2220000000000002i22i2−2i2−2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000000
χ6444-4-4-24400-424-4-22-423−2323−23-20-2220000-44002-222-2-22323−23−23−232300−23−232323000000000000000000000000000000000000000000000000000000000
χ6544-4-4-24400-424-4-22-4−2323−2323-20-2220000-44002-222-2-2−23−23232323−23002323−23−23000000000000000000000000000000000000000000000000000000000
χ6644-4-4-2-2400-42-22-22223−2323−23101-1-100002-2002-2-1-111−3−333−23230033−3−30000000066−6−6−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23−6−6662ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ230000000000000000000000000
χ6744-4-4-2-2400-42-22-22223−2323−23101-1-100002-2002-2-1-111−3−333−23230033−3−300000000−6−6662ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ2366−6−6−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000000
χ6844-4-4-2-2400-42-22-222−2323−2323101-1-100002-2002-2-1-11133−3−323−2300−3−3330000000066−6−6ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−6−666−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ230000000000000000000000000
χ6944-4-4-2-2400-42-22-222−2323−2323101-1-100002-2002-2-1-11133−3−323−2300−3−33300000000−6−666−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ2366−6−6ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000000
χ7044-4-4-2-2-40042-22-22223−2323−23101-1-1−2i2−2i22i22i2-2200-2211-1-1−3−33323−2300−3−3332ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000000000000
χ7144-4-4-2-2-40042-22-22223−2323−23101-1-12i22i2−2i2−2i2-2200-2211-1-1−3−33323−2300−3−333−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000000000000
χ7244-4-4-2-2-40042-22-222−2323−2323101-1-1−2i2−2i22i22i2-2200-2211-1-133−3−3−23230033−3−32ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000000000000
χ7344-4-4-2-2-40042-22-222−2323−2323101-1-12i22i2−2i2−2i2-2200-2211-1-133−3−3−23230033−3−3−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000000000000
χ744-44-44404-404-44-4-4-444-4-440-44-4000000-44000000-44-4400000000000000000000000000000000000000000000000000000000000000000
χ754-44-44-204-4042-2-4-4244-4-4-202-220000002-20000002-22-200000000000000006−66−66−66−66−66−6−66−66−66−66−66−660000000000000000000000000
χ764-44-44-204-4042-2-4-4244-4-4-202-220000002-20000002-22-20000000000000000−66−66−66−66−66−666−66−66−66−66−66−60000000000000000000000000
χ774-44-44-20-44042-2-4-42-4-444-202-22−2i22i2−2i22i200-22000000-22-2200000000−2i22i2−2i22i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000
χ784-44-44-20-44042-2-4-42-4-444-202-222i2−2i22i2−2i200-22000000-22-22000000002i2−2i22i2−2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000
χ794-44-4-2404-40-2-4422-4-2-222-202-22000000-440000002-22-200000000i6−i6i6−i6−i6i6−i6i60000i6−i6i6−i6−i6i6−i6i60000i6−i6i6−i6−i6i6−i6i60000000000000000000000000
χ804-44-4-2404-40-2-4422-4-2-222-202-22000000-440000002-22-200000000−i6i6−i6i6i6−i6i6−i60000−i6i6−i6i6i6−i6i6−i60000−i6i6−i6i6i6−i6i6−i60000000000000000000000000
χ814-44-4-240-440-2-4422-422-2-2-202-22−2i22i2−2i22i2004-4000000-22-2200000000i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000
χ824-44-4-240-440-2-4422-422-2-2-202-222i2−2i22i2−2i2004-4000000-22-2200000000−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000
χ834-44-4-2-204-40-22-2222-2-22210-11-10000002-2003i−3i3i−3i-11-1100003i−3i3i−3ii6−i6i6−i6−i6i6−i6i66−66−6−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−66−66−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000000000000
χ844-44-4-2-204-40-22-2222-2-22210-11-10000002-2003i−3i3i−3i-11-1100003i−3i3i−3i−i6i6−i6i6i6−i6i6−i6−66−66ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ236−66−6ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000000000000
χ854-44-4-2-204-40-22-2222-2-22210-11-10000002-200−3i3i−3i3i-11-110000−3i3i−3i3ii6−i6i6−i6−i6i6−i6i6−66−66−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ136−66−6−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000000000000
χ864-44-4-2-204-40-22-2222-2-22210-11-10000002-200−3i3i−3i3i-11-110000−3i3i−3i3i−i6i6−i6i6i6−i6i6−i66−66−6ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−66−66ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000000000000
χ874-44-4-2-20-440-22-222222-2-210-11-1−2i22i2−2i22i200-22003i−3i3i−3i1-11-10000−3i3i−3i3ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000
χ884-44-4-2-20-440-22-222222-2-210-11-1−2i22i2−2i22i200-2200−3i3i−3i3i1-11-100003i−3i3i−3ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000
χ894-44-4-2-20-440-22-222222-2-210-11-12i2−2i22i2−2i200-22003i−3i3i−3i1-11-10000−3i3i−3i3i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000
χ904-44-4-2-20-440-22-222222-2-210-11-12i2−2i22i2−2i200-2200−3i3i−3i3i1-11-100003i−3i3i−3i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000
χ914-4-44440000-4-4-4-444000040-4-442-2-2200000000000000000000002-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-220000000000000000000000000
χ924-4-44440000-4-4-4-444000040-4-44-222-20000000000000000000000-222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-20000000000000000000000000
χ934-4-444-20000-422-44-20000-2022-22-2-220000000000000000−2i32i3−2i32i32i3−2i32-2-222-2-22−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i30000000000000000000000000
χ944-4-444-20000-422-44-20000-2022-22-2-2200000000000000002i3−2i32i3−2i3−2i32i32-2-222-2-22−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i30000000000000000000000000
χ954-4-444-20000-422-44-20000-2022-2-222-20000000000000000−2i32i3−2i32i32i3−2i3-222-2-222-21+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000000000000000000000000
χ964-4-444-20000-422-44-20000-2022-2-222-200000000000000002i3−2i32i3−2i3−2i32i3-222-2-222-21−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000000000000000000000000
χ974-4-44-2400002-4-42-2423−23−2323-2022-22-2-220000000000−232323−2300000000−1+31−31−3−1+3−1−31+31+3−1−32-2-22−1+31−31−3−1+3−1−31+31+3−1−32-2-22−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000000000
χ984-4-44-2400002-4-42-2423−23−2323-2022-2-222-20000000000−232323−23000000001−3−1+3−1+31−31+3−1−3−1−31+3-222-21−3−1+3−1+31−31+3−1−3−1−31+3-222-21−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000000000
χ994-4-44-2400002-4-42-24−232323−23-2022-22-2-22000000000023−23−232300000000−1−31+31+3−1−3−1+31−31−3−1+32-2-22−1−31+31+3−1−3−1+31−31−3−1+32-2-22−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000000000
χ1004-4-44-2400002-4-42-24−232323−23-2022-2-222-2000000000023−23−2323000000001+3−1−3−1−31+31−3−1+3−1+31−3-222-21+3−1−3−1−31+31−3−1+3−1+31−3-222-21+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000000000
χ1014-4-44-2-200002222-2-223−23−232310-1-112-2-220000003i−3i−3i3i3−3−3300−2i32i3i3−i3−i3i3−1+31−31−3−1+3−1−31+31+3−1−3−1−i31+i31+i3−1−i3ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22−1+i31−i31−i3−1+i32ζ14+ζ20+ζ22−2ζ14−ζ20−ζ22−2ζ14−ζ20−ζ222ζ14+ζ20+ζ22−2ζ14+ζ20−ζ222ζ14−ζ20+ζ222ζ14−ζ20+ζ22−2ζ14+ζ20−ζ220000000000000000000000000
χ1024-4-44-2-200002222-2-223−23−232310-1-112-2-22000000−3i3i3i−3i3−3−33002i3−2i3−i3i3i3−i3−1+31−31−3−1+3−1−31+31+3−1−3−1+i31−i31−i3−1+i32ζ14+ζ20+ζ22−2ζ14−ζ20−ζ22−2ζ14−ζ20−ζ222ζ14+ζ20+ζ22−2ζ14+ζ20−ζ222ζ14−ζ20+ζ222ζ14−ζ20+ζ22−2ζ14+ζ20−ζ22−1−i31+i31+i3−1−i3ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ220000000000000000000000000
χ1034-4-44-2-200002222-2-223−23−232310-1-11-222-20000003i−3i−3i3i3−3−3300−2i32i3i3−i3−i3i31−3−1+3−1+31−31+3−1−3−1−31+31+i3−1−i3−1−i31+i3−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ221−i3−1+i3−1+i31−i3−2ζ14−ζ20−ζ222ζ14+ζ20+ζ222ζ14+ζ20+ζ22−2ζ14−ζ20−ζ222ζ14−ζ20+ζ22−2ζ14+ζ20−ζ22−2ζ14+ζ20−ζ222ζ14−ζ20+ζ220000000000000000000000000
χ1044-4-44-2-200002222-2-223−23−232310-1-11-222-2000000−3i3i3i−3i3−3−33002i3−2i3−i3i3i3−i31−3−1+3−1+31−31+3−1−3−1−31+31−i3−1+i3−1+i31−i3−2ζ14−ζ20−ζ222ζ14+ζ20+ζ222ζ14+ζ20+ζ22−2ζ14−ζ20−ζ222ζ14−ζ20+ζ22−2ζ14+ζ20−ζ22−2ζ14+ζ20−ζ222ζ14−ζ20+ζ221+i3−1−i3−1−i31+i3−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ220000000000000000000000000
χ1054-4-44-2-200002222-2-2−232323−2310-1-112-2-220000003i−3i−3i3i−333−3002i3−2i3−i3i3i3−i3−1−31+31+3−1−3−1+31−31−3−1+3−1+i31−i31−i3−1+i3−2ζ14+ζ20−ζ222ζ14−ζ20+ζ222ζ14−ζ20+ζ22−2ζ14+ζ20−ζ222ζ14+ζ20+ζ22−2ζ14−ζ20−ζ22−2ζ14−ζ20−ζ222ζ14+ζ20+ζ22−1−i31+i31+i3−1−i3ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ220000000000000000000000000
χ1064-4-44-2-200002222-2-2−232323−2310-1-112-2-22000000−3i3i3i−3i−333−300−2i32i3i3−i3−i3i3−1−31+31+3−1−3−1+31−31−3−1+3−1−i31+i31+i3−1−i3ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22−1+i31−i31−i3−1+i3−2ζ14+ζ20−ζ222ζ14−ζ20+ζ222ζ14−ζ20+ζ22−2ζ14+ζ20−ζ222ζ14+ζ20+ζ22−2ζ14−ζ20−ζ22−2ζ14−ζ20−ζ222ζ14+ζ20+ζ220000000000000000000000000
χ1074-4-44-2-200002222-2-2−232323−2310-1-11-222-20000003i−3i−3i3i−333−3002i3−2i3−i3i3i3−i31+3−1−3−1−31+31−3−1+3−1+31−31−i3−1+i3−1+i31−i32ζ14−ζ20+ζ22−2ζ14+ζ20−ζ22−2ζ14+ζ20−ζ222ζ14−ζ20+ζ22−2ζ14−ζ20−ζ222ζ14+ζ20+ζ222ζ14+ζ20+ζ22−2ζ14−ζ20−ζ221+i3−1−i3−1−i31+i3−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ220000000000000000000000000
χ1084-4-44-2-200002222-2-2−232323−2310-1-11-222-2000000−3i3i3i−3i−333−300−2i32i3i3−i3−i3i31+3−1−3−1−31+31−3−1+3−1+31−31+i3−1−i3−1−i31+i3−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ221−i3−1+i3−1+i31−i32ζ14−ζ20+ζ22−2ζ14+ζ20−ζ22−2ζ14+ζ20−ζ222ζ14−ζ20+ζ22−2ζ14−ζ20−ζ222ζ14+ζ20+ζ222ζ14+ζ20+ζ22−2ζ14−ζ20−ζ220000000000000000000000000

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