Finite Group Databasebeta

← Group #11795414

Character table — Group #11795414

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222223344446666666666666636666666888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422444444666612121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ92222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ102222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ11222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000000000000000
χ12222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111111110000000000000000
χ13222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-21111111111111111111111112200-2-200-1-1-1-111110000000000000000
χ14222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-20022001111-1-1-1-10000000000000000
χ1522222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-100000000
χ1622222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000001111111100000000
χ1722222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111002200-2-200000000-1-1-1-1111100000000
χ1822222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-2111111111111111100-2-20022000000001111-1-1-1-100000000
χ192222-2-2-2-22222-2-222-2-222-2-2-222-2-2-2222-2-2-2-22000022-222-22222-2-2-2-2-2-2000000000000000000000000000000002-200000022-2-200000000000000000000
χ202222-2-2-2-22222-2-222-2-222-2-2-222-2-2-2222-2-2-2-22000022-222-22222-2-2-2-2-2-200000000000000000000000000000000-22000000-2-22200000000000000000000
χ212222-2-2-2-222-2-22222-2-222-2-2-222-2-2-2222-2-2-2-220000-2-22-2-22-2-2-2-2222222000000000000000000000000000000000000002i−2i0000000000002i2i−2i−2i00000000
χ222222-2-2-2-222-2-22222-2-222-2-2-222-2-2-2222-2-2-2-220000-2-22-2-22-2-2-2-222222200000000000000000000000000000000000000−2i2i000000000000−2i−2i2i2i00000000
χ232222-2-2-2-22-122-2-222-2-2-1-11112-1-2-21-1-1-11111-1000022-2-1-11-1-1-1-111-2111000000003333−3−3−3−333333333−3−3−3−3−3−3−3−32-2000000-1-11133−3−30000000000000000
χ242222-2-2-2-22-122-2-222-2-2-1-11112-1-2-21-1-1-11111-1000022-2-1-11-1-1-1-111-2111000000003333−3−3−3−333333333−3−3−3−3−3−3−3−3-2200000011-1-1−3−3330000000000000000
χ252222-2-2-2-22-122-2-222-2-2-1-11112-1-2-21-1-1-11111-1000022-2-1-11-1-1-1-111-211100000000−3−3−3−33333−3−3−3−3−3−3−3−3333333332-2000000-1-111−3−3330000000000000000
χ262222-2-2-2-22-122-2-222-2-2-1-11112-1-2-21-1-1-11111-1000022-2-1-11-1-1-1-111-211100000000−3−3−3−33333−3−3−3−3−3−3−3−333333333-2200000011-1-133−3−30000000000000000
χ272222-2-2-2-2-12-2-222-1-11122-2-2-2-1211-2-1-1-11111-1000011-1-2-221111-1-1-12-1-1−i3−i3−i3−i3i3i3i3i300000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000002i−2i0000000033−3−3−i−iii00000000
χ282222-2-2-2-2-12-2-222-1-11122-2-2-2-1211-2-1-1-11111-1000011-1-2-221111-1-1-12-1-1−i3−i3−i3−i3i3i3i3i300000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3000000−2i2i00000000−3−333ii−i−i00000000
χ292222-2-2-2-2-12-2-222-1-11122-2-2-2-1211-2-1-1-11111-1000011-1-2-221111-1-1-12-1-1i3i3i3i3−i3−i3−i3−i300000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000002i−2i00000000−3−333−i−iii00000000
χ302222-2-2-2-2-12-2-222-1-11122-2-2-2-1211-2-1-1-11111-1000011-1-2-221111-1-1-12-1-1i3i3i3i3−i3−i3−i3−i300000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000−2i2i0000000033−3−3ii−i−i00000000
χ3122-2-222-2-22200002-22-22-222-2-2-22-2-222-222-2-2-2−i2−i2i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000002i−2i22−2−2
χ3222-2-222-2-22200002-22-22-222-2-2-22-2-222-222-2-2-2−i2−i2i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000−2i2i−2−222
χ3322-2-222-2-22200002-22-22-222-2-2-22-2-222-222-2-2-2i2i2−i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000002i−2i−2−222
χ3422-2-222-2-22200002-22-22-222-2-2-22-2-222-222-2-2-2i2i2−i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000−2i2i22−2−2
χ352-22-22-22-2220000-22-22-222-22-2-22-2-22-222-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000002i−2i002−22−2
χ362-22-22-22-2220000-22-22-222-22-2-22-2-22-222-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000−2i2i00−22−22
χ372-22-22-22-2220000-22-22-222-22-2-22-2-22-222-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000002i−2i00−22−22
χ382-22-22-22-2220000-22-22-222-22-2-22-2-22-222-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000−2i2i002−22−2
χ392-2-222-2-22222-22-2-2-2-2-2-2-22-2-2222222-2-22-2-2222-2-222-2-22-2-222-2-2-2-222222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-2200000000000000000000000000000000
χ402-2-222-2-22222-22-2-2-2-2-2-2-22-2-2222222-2-22-2-222-222-22-2-22-2-222-2-2-2-22222-222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-200000000000000000000000000000000
χ412-2-222-2-2222-22-22-2-2-2-2-2-22-2-2222222-2-22-2-2220000-222-222-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000002-2-22
χ422-2-222-2-2222-22-22-2-2-2-2-2-22-2-2222222-2-22-2-2220000-222-222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000000000-222-2
χ432-2-222-2-222-12-22-2-2-2-2-211-1112-122-1-111-111-1-12-2-222-2-2-111-1-111112-1-1-12-2-222-2-22-111-1-111-1-111-1-111-1-111-1-111-100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ442-2-222-2-222-12-22-2-2-2-2-211-1112-122-1-111-111-1-12-2-222-2-2-111-1-111112-1-1-12-2-222-2-22-111-1-111-1-111-1-111-1-111-1-111-100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ452-2-222-2-222-12-22-2-2-2-2-211-1112-122-1-111-111-1-1-222-22-2-2-111-1-111112-1-1-1-222-2-222-21-1-111-1-111-1-111-1-111-1-111-1-1100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ462-2-222-2-222-12-22-2-2-2-2-211-1112-122-1-111-111-1-1-222-22-2-2-111-1-111112-1-1-1-222-2-222-21-1-111-1-111-1-111-1-111-1-111-1-1100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ472-2-222-2-22-122-22-21111-2-22-2-2-12-1-12-111-111-1-12-2-22-1112-2-2-1-11111-12-1-1-111-1-111-12-2-222-2-22-111-1-111-1-111-1-111-10000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ482-2-222-2-22-122-22-21111-2-22-2-2-12-1-12-111-111-1-12-2-22-1112-2-2-1-11111-12-1-1-111-1-111-12-2-222-2-22-111-1-111-1-111-1-111-10000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ492-2-222-2-22-122-22-21111-2-22-2-2-12-1-12-111-111-1-1-222-2-1112-2-2-1-11111-12-1-11-1-111-1-11-222-2-222-21-1-111-1-111-1-111-1-110000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ502-2-222-2-22-122-22-21111-2-22-2-2-12-1-12-111-111-1-1-222-2-1112-2-2-1-11111-12-1-11-1-111-1-11-222-2-222-21-1-111-1-111-1-111-1-110000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ512-2-22-222-2222-2-22-2-222-2-2-22222-2-2-22-2-2-222-2200002-222-2222-2-222-2-2-2-20000000000000000000000000000000000002i−2i0000002i−2i−2i2i0000000000000000
χ522-2-22-222-2222-2-22-2-222-2-2-22222-2-2-22-2-2-222-2200002-222-2222-2-222-2-2-2-2000000000000000000000000000000000000−2i2i000000−2i2i2i−2i0000000000000000
χ532-2-22-222-222-222-2-2-222-2-2-22222-2-2-22-2-2-222-220000-22-2-22-2-2-222-2-2222200000000000000000000000000000000002i−2i0000000000002i−2i−2i2i000000000000
χ542-2-22-222-222-222-2-2-222-2-2-22222-2-2-22-2-2-222-220000-22-2-22-2-2-222-2-222220000000000000000000000000000000000−2i2i000000000000−2i2i2i−2i000000000000
χ552-2-22-222-22-12-2-22-2-222111-1-12-1-2-21-1111-1-11-100002-22-11-1-1-111-1-1-2111000000003−3−33−333−33−3−333−3−33−333−3−333−300002i−2i00−i3i3i3−i3−iii−i0000000000000000
χ562-2-22-222-22-12-2-22-2-222111-1-12-1-2-21-1111-1-11-100002-22-11-1-1-111-1-1-2111000000003−3−33−333−33−3−333−3−33−333−3−333−30000−2i2i00i3−i3−i3i3i−i−ii0000000000000000
χ572-2-22-222-22-12-2-22-2-222111-1-12-1-2-21-1111-1-11-100002-22-11-1-1-111-1-1-211100000000−333−33−3−33−333−3−333−33−3−333−3−3300002i−2i00i3−i3−i3i3−iii−i0000000000000000
χ582-2-22-222-22-12-2-22-2-222111-1-12-1-2-21-1111-1-11-100002-22-11-1-1-111-1-1-211100000000−333−33−3−33−333−3−333−33−3−333−3−330000−2i2i00−i3i3i3−i3i−i−ii0000000000000000
χ592-2-22-222-2-12-222-211-1-1-2-2-222-1211-2-1111-1-11-100001-11-22-211-1-111-12-1-1−i3i3i3−i3i3−i3−i3i300000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3002i−2i000000000000−iii−i3−3−3300000000
χ602-2-22-222-2-12-222-211-1-1-2-2-222-1211-2-1111-1-11-100001-11-22-211-1-111-12-1-1−i3i3i3−i3i3−i3−i3i300000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300−2i2i000000000000i−i−ii−333−300000000
χ612-2-22-222-2-12-222-211-1-1-2-2-222-1211-2-1111-1-11-100001-11-22-211-1-111-12-1-1i3−i3−i3i3−i3i3i3−i300000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3002i−2i000000000000−iii−i−333−300000000
χ622-2-22-222-2-12-222-211-1-1-2-2-222-1211-2-1111-1-11-100001-11-22-211-1-111-12-1-1i3−i3−i3i3−i3i3i3−i300000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300−2i2i000000000000i−i−ii3−3−3300000000
χ63444444444-2-4-4-4-44444-2-2-2-2-24-244-2-2-2-2-2-2-2-2-20000-4-4-4222222222-42220000000000000000000000000000000000000000000000000000000000000000
χ6444444444-24-4-4-4-4-2-2-2-244444-24-2-24-2-2-2-2-2-2-2-20000222-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
χ6544444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111114444-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000
χ6644444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-4-4-4-4-2-2-2-2-2-2111111-2-2112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6744444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-100000000000000003i3i3i3i−3i−3i−3i−3i−3i−3i−3i−3i3i3i3i3i00000000000000000000000000000000
χ6844444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-10000000000000000−3i−3i−3i−3i3i3i3i3i3i3i3i3i−3i−3i−3i−3i00000000000000000000000000000000
χ694444-4-4-4-44-2-4-44444-4-4-2-22224-2-4-42-2-2-22222-20000-4-4422-22222-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ704444-4-4-4-4-2444-4-4-2-22244-4-4-4-2422-4-2-2-22222-20000-2-2244-4-2-2-2-2222-4220000000000000000000000000000000000000000000000000000000000000000
χ714444-4-4-4-4-2-244-4-4-2-222-2-2222-2-2222111-1-1-1-110000-2-22-2-221111-1-122-1-10000000023232323−23−23−23−23−3−3−3−3−3−3−3−33333333300000000000000000000000000000000
χ724444-4-4-4-4-2-244-4-4-2-222-2-2222-2-2222111-1-1-1-110000-2-22-2-221111-1-122-1-100000000−23−23−23−232323232333333333−3−3−3−3−3−3−3−300000000000000000000000000000000
χ734444-4-4-4-4-2-2-4-444-2-222-2-2222-2-2222111-1-1-1-11000022-222-2-1-1-1-111-2-211−2i3−2i3−2i3−2i32i32i32i32i300000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000000000000000000000000000
χ744444-4-4-4-4-2-2-4-444-2-222-2-2222-2-2222111-1-1-1-11000022-222-2-1-1-1-111-2-2112i32i32i32i3−2i3−2i3−2i3−2i300000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i300000000000000000000000000000000
χ7544-4-444-4-44-200004-44-4-22-2-22-424-42-2-22-2-2222−2i2−2i22i22i20000000000000000−2i2−2i22i22i2−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ7644-4-444-4-44-200004-44-4-22-2-22-424-42-2-22-2-22222i22i2−2i2−2i200000000000000002i22i2−2i2−2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ7744-4-444-4-4-240000-22-224-444-42-4-22-4-2-22-2-2222−2i2−2i22i22i20000000000000000i2i2−i2−i2i2i2−i2−i2−2i2−2i22i22i2−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ7844-4-444-4-4-240000-22-224-444-42-4-22-4-2-22-2-22222i22i2−2i2−2i20000000000000000−i2−i2i2i2−i2−i2i2i22i22i2−2i2−2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ7944-4-444-4-4-2-20000-22-22-22-2-2222-22211-111-1-1-1−2i2−2i22i22i20000003i−3i3i−3i3i−3i003i−3ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ2300000000000000000000000000000000
χ8044-4-444-4-4-2-20000-22-22-22-2-2222-22211-111-1-1-1−2i2−2i22i22i2000000−3i3i−3i3i−3i3i00−3i3ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ2300000000000000000000000000000000
χ8144-4-444-4-4-2-20000-22-22-22-2-2222-22211-111-1-1-12i22i2−2i2−2i20000003i−3i3i−3i3i−3i003i−3i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ2300000000000000000000000000000000
χ8244-4-444-4-4-2-20000-22-22-22-2-2222-22211-111-1-1-12i22i2−2i2−2i2000000−3i3i−3i3i−3i3i00−3i3i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ2300000000000000000000000000000000
χ8344-4-4-4-4444400004-4-444-4-4-44-4-4-44444-4-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8444-4-4-4-4444-200004-4-44-2222-2-42-44-2-2-2222-2-220000000000000000000000000000i6i6−i6−i6−i6−i6i6i6i6i6−i6−i6i6i6−i6−i6−i6−i6i6i6−i6−i6i6i600000000000000000000000000000000
χ8544-4-4-4-4444-200004-4-44-2222-2-42-44-2-2-2222-2-220000000000000000000000000000−i6−i6i6i6i6i6−i6−i6−i6−i6i6i6−i6−i6i6i6i6i6−i6−i6i6i6−i6−i600000000000000000000000000000000
χ8644-4-4-4-444-240000-222-24-4-4-442-42-24-2-2222-2-220000000000000000000066−6−6−6−6660000000066−6−6−6−66666−6−6−6−66600000000000000000000000000000000
χ8744-4-4-4-444-240000-222-24-4-4-442-42-24-2-2222-2-2200000000000000000000−6−66666−6−600000000−6−66666−6−6−6−66666−6−600000000000000000000000000000000
χ8844-4-4-4-444-2-20000-222-2-2222-2222-2-211-1-1-111-100000000003i−3i3i−3i−3i3i00−3i3i66−6−6−6−666i6i6−i6−i6−i6−i6i6i6−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300000000000000000000000000000000
χ8944-4-4-4-444-2-20000-222-2-2222-2222-2-211-1-1-111-100000000003i−3i3i−3i−3i3i00−3i3i−6−66666−6−6−i6−i6i6i6i6i6−i6−i6ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300000000000000000000000000000000
χ9044-4-4-4-444-2-20000-222-2-2222-2222-2-211-1-1-111-10000000000−3i3i−3i3i3i−3i003i−3i66−6−6−6−666−i6−i6i6i6i6i6−i6−i6ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300000000000000000000000000000000
χ9144-4-4-4-444-2-20000-222-2-2222-2222-2-211-1-1-111-10000000000−3i3i−3i3i3i−3i003i−3i−6−66666−6−6i6i6−i6−i6−i6−i6i6i6−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300000000000000000000000000000000
χ924-44-44-44-44-20000-44-442-2-22-2-424-42-22-2-22-222−2i22i2−2i22i20000000000000000−2i22i2−2i22i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ934-44-44-44-44-20000-44-442-2-22-2-424-42-22-2-22-2222i2−2i22i2−2i200000000000000002i2−2i22i2−2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ944-44-44-44-4-2400002-22-2-444-442-4-22-4-22-2-22-222−2i22i2−2i22i20000000000000000i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ954-44-44-44-4-2400002-22-2-444-442-4-22-4-22-2-22-2222i2−2i22i2−2i20000000000000000−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ964-44-44-44-4-2-200002-22-22-2-22-222-2221-111-11-1-1−2i22i2−2i22i20000003i−3i−3i3i−3i3i003i−3ii2−i2i2−i2i2−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+2ζ23ζ5−2ζ7+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−ζ2300000000000000000000000000000000
χ974-44-44-44-4-2-200002-22-22-2-22-222-2221-111-11-1-1−2i22i2−2i22i2000000−3i3i3i−3i3i−3i00−3i3ii2−i2i2−i2i2−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−ζ23−2ζ5+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+2ζ2300000000000000000000000000000000
χ984-44-44-44-4-2-200002-22-22-2-22-222-2221-111-11-1-12i2−2i22i2−2i20000003i−3i−3i3i−3i3i003i−3i−i2i2−i2i2−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−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+ζ2300000000000000000000000000000000
χ994-44-44-44-4-2-200002-22-22-2-22-222-2221-111-11-1-12i2−2i22i2−2i2000000−3i3i3i−3i3i−3i00−3i3i−i2i2−i2i2−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+ζ232ζ5−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+ζ13−2ζ2300000000000000000000000000000000
χ1004-44-4-44-44440000-444-4-44-44-4-4-4-4444-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-44-4-44-444-20000-444-42-22-22-42-44-2-22-22-22-220000000000000000000000000000i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6−i6i600000000000000000000000000000000
χ1024-44-4-44-444-20000-444-42-22-22-42-44-2-22-22-22-220000000000000000000000000000−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6i6−i600000000000000000000000000000000
χ1034-44-4-44-44-2400002-2-22-44-44-42-42-24-22-22-22-22000000000000000000006−66−6−66−66000000006−66−6−66−666−66−6−66−6600000000000000000000000000000000
χ1044-44-4-44-44-2400002-2-22-44-44-42-42-24-22-22-22-2200000000000000000000−66−666−66−600000000−66−666−66−6−66−666−66−600000000000000000000000000000000
χ1054-44-4-44-44-2-200002-2-222-22-22222-2-21-11-11-11-100000000003i−3i−3i3i3i−3i00−3i3i6−66−6−66−66i6−i6i6−i6−i6i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000
χ1064-44-4-44-44-2-200002-2-222-22-22222-2-21-11-11-11-100000000003i−3i−3i3i3i−3i00−3i3i−66−666−66−6−i6i6−i6i6i6−i6i6−i6ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000
χ1074-44-4-44-44-2-200002-2-222-22-22222-2-21-11-11-11-10000000000−3i3i3i−3i−3i3i003i−3i6−66−6−66−66−i6i6−i6i6i6−i6i6−i6ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000
χ1084-44-4-44-44-2-200002-2-222-22-22222-2-21-11-11-11-10000000000−3i3i3i−3i−3i3i003i−3i−66−666−66−6i6−i6i6−i6−i6i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000
χ1094-4-444-4-444-2-44-44-4-4-4-422-2224-244-2-222-222-2-20000-4442-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ1104-4-444-4-44-24-44-442222-4-44-4-4-24-2-24-222-222-2-200002-2-2-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ1114-4-444-4-44-2-24-44-4222222-222-2-2-2-2-21-1-11-1-1114-4-44-222-22211-1-1-1-1-2-211-222-2-222-2-222-2-222-21-1-111-1-111-1-111-1-1100000000000000000000000000000000
χ1124-4-444-4-44-2-24-44-4222222-222-2-2-2-2-21-1-11-1-111-444-4-222-22211-1-1-1-1-2-2112-2-222-2-222-2-222-2-22-111-1-111-1-111-1-111-100000000000000000000000000000000
χ1134-4-444-4-44-2-2-44-44222222-222-2-2-2-2-21-1-11-1-11100002-2-22-2-2-1-1111122-1-100000000000000003i−3i−3i3i−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
χ1144-4-444-4-44-2-2-44-44222222-222-2-2-2-2-21-1-11-1-11100002-2-22-2-2-1-1111122-1-10000000000000000−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ1154-4-44-444-44-2-444-4-4-444222-2-24-2-4-42-2222-2-22-20000-44-42-2222-2-2224-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44-444-4-244-4-4422-2-2-4-4-444-2422-4-2222-2-22-20000-22-24-44-2-222-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ1174-4-44-444-4-2-24-4-4422-2-2222-2-2-2-22221-1-1-111-110000-22-2-22-211-1-11122-1-10000000023−23−2323−232323−23−333−3−333−33−3−333−3−3300000000000000000000000000000000
χ1184-4-44-444-4-2-24-4-4422-2-2222-2-2-2-22221-1-1-111-110000-22-2-22-211-1-11122-1-100000000−232323−2323−23−23233−3−333−3−33−333−3−333−300000000000000000000000000000000
χ1194-4-44-444-4-2-2-444-422-2-2222-2-2-2-22221-1-1-111-1100002-222-22-1-111-1-1-2-211−2i32i32i3−2i32i3−2i3−2i32i300000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300000000000000000000000000000000
χ1204-4-44-444-4-2-2-444-422-2-2222-2-2-2-22221-1-1-111-1100002-222-22-1-111-1-1-2-2112i3−2i3−2i32i3−2i32i32i3−2i300000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300000000000000000000000000000000

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