Finite Group Databasebeta

← Group #11794663

Character table — Group #11794663

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
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
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
χ1922-222-2-2-2222-22-22-2-2-222-2-2-2222-2-2222-2-2-2-2200002-2-22-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000000000002i2i−2i−2i
χ2022-222-2-2-2222-22-22-2-2-222-2-2-2222-2-2222-2-2-2-2200002-2-22-2-222-2-2-2-22222000000000000000000000000000000000000000000000000000000000000−2i−2i2i2i
χ2122-222-2-2-222-22-222-2-2-222-2-2-2222-2-2222-2-2-2-222i2i−2i−2i-222-222-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i00000000000000000000000000000000
χ2222-222-2-2-222-22-222-2-2-222-2-2-2222-2-2222-2-2-2-22−2i−2i2i2i-222-222-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i00000000000000000000000000000000
χ2322-222-2-2-22-1-22-222-2-2-2-1-11112-12-21-1-1-11111-12i2i−2i−2i-2221-1-111-1-1-1-1-21112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii00000000−i3−i3i3i333−3−30000000000000000
χ2422-222-2-2-22-1-22-222-2-2-2-1-11112-12-21-1-1-11111-12i2i−2i−2i-2221-1-111-1-1-1-1-21112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii00000000i3i3−i3−i3−3−3330000000000000000
χ2522-222-2-2-22-1-22-222-2-2-2-1-11112-12-21-1-1-11111-1−2i−2i2i2i-2221-1-111-1-1-1-1-2111−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i00000000−i3−i3i3i3−3−3330000000000000000
χ2622-222-2-2-22-1-22-222-2-2-2-1-11112-12-21-1-1-11111-1−2i−2i2i2i-2221-1-111-1-1-1-1-2111−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i00000000i3i3−i3−i333−3−30000000000000000
χ2722-222-2-2-2-12-22-22-111122-2-2-2-12-11-2-1-1-11111-12i2i−2i−2i1-1-1-22211-1-1-1-11-211−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000−i3−i3i3i333−3−300000000
χ2822-222-2-2-2-12-22-22-111122-2-2-2-12-11-2-1-1-11111-12i2i−2i−2i1-1-1-22211-1-1-1-11-211−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000i3i3−i3−i3−3−33300000000
χ2922-222-2-2-2-12-22-22-111122-2-2-2-12-11-2-1-1-11111-1−2i−2i2i2i1-1-1-22211-1-1-1-11-211iiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000−i3−i3i3i3−3−33300000000
χ3022-222-2-2-2-12-22-22-111122-2-2-2-12-11-2-1-1-11111-1−2i−2i2i2i1-1-1-22211-1-1-1-11-211iiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000i3i3−i3−i333−3−300000000
χ312-222-2-2-222222-2-2-22-2-2-2-22-2-222-2222-2-222-2-22000022-222-22222-2-2-2-2-2-200000000000000000000000000000000002i−2i0000000000002i−2i2i−2i000000000000
χ322-222-2-2-222222-2-2-22-2-2-2-22-2-222-2222-2-222-2-22000022-222-22222-2-2-2-2-2-20000000000000000000000000000000000−2i2i000000000000−2i2i−2i2i000000000000
χ332-222-2-2-2222-2-222-22-2-2-2-22-2-222-2222-2-222-2-220000-2-22-2-22-2-2-2-2222222000000000000000000000000000000002-20000002-22-200000000000000000000
χ342-222-2-2-2222-2-222-22-2-2-2-22-2-222-2222-2-222-2-220000-2-22-2-22-2-2-2-222222200000000000000000000000000000000-22000000-22-2200000000000000000000
χ352-222-2-2-222-1-2-222-22-2-211-1112-1-22-1-111-1-111-10000-2-2211-11111-1-12-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32-2000000-11-11−i3i3−i3i30000000000000000
χ362-222-2-2-222-1-2-222-22-2-211-1112-1-22-1-111-1-111-10000-2-2211-11111-1-12-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-220000001-11-1i3−i3i3−i30000000000000000
χ372-222-2-2-222-1-2-222-22-2-211-1112-1-22-1-111-1-111-10000-2-2211-11111-1-12-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32-2000000-11-11i3−i3i3−i30000000000000000
χ382-222-2-2-222-1-2-222-22-2-211-1112-1-22-1-111-1-111-10000-2-2211-11111-1-12-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-220000001-11-1−i3i3−i3i30000000000000000
χ392-222-2-2-22-1222-2-21-111-2-22-2-2-121-12-111-1-111-10000-1-1122-2-1-1-1-1111-21133−3−333−3−30000000033−3−333−3−333−3−333−3−3002i−2i000000000000−ii−ii−i3i3−i3i300000000
χ402-222-2-2-22-1222-2-21-111-2-22-2-2-121-12-111-1-111-10000-1-1122-2-1-1-1-1111-21133−3−333−3−30000000033−3−333−3−333−3−333−3−300−2i2i000000000000i−ii−ii3−i3i3−i300000000
χ412-222-2-2-22-1222-2-21-111-2-22-2-2-121-12-111-1-111-10000-1-1122-2-1-1-1-1111-211−3−333−3−33300000000−3−333−3−333−3−333−3−333002i−2i000000000000−ii−iii3−i3i3−i300000000
χ422-222-2-2-22-1222-2-21-111-2-22-2-2-121-12-111-1-111-10000-1-1122-2-1-1-1-1111-211−3−333−3−33300000000−3−333−3−333−3−333−3−33300−2i2i000000000000i−ii−i−i3i3−i3i300000000
χ432-22-222-2-2220000-222-22-222-2-2-22-2-222-22-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000002-2−i2i2−i2i2
χ442-22-222-2-2220000-222-22-222-2-2-22-2-222-22-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000-22i2−i2i2−i2
χ452-22-222-2-2220000-222-22-222-2-2-22-2-222-22-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000002-2i2−i2i2−i2
χ462-22-222-2-2220000-222-22-222-2-2-22-2-222-22-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000-22−i2i2−i2i2
χ472-2-22-222-2222-2-22-2-222-2-2-22222-2-2-22-2-2-2-222200002-222-2222-2-222-2-2-2-20000000000000000000000000000000000002i−2i0000002i−2i−2i2i0000000000000000
χ482-2-22-222-2222-2-22-2-222-2-2-22222-2-2-22-2-2-2-222200002-222-2222-2-222-2-2-2-2000000000000000000000000000000000000−2i2i000000−2i2i2i−2i0000000000000000
χ492-2-22-222-222-222-2-2-222-2-2-22222-2-2-22-2-2-2-22220000-22-2-22-2-2-222-2-22222000000000000000000000000000000000000002i−2i0000000000002i−2i−2i2i00000000
χ502-2-22-222-222-222-2-2-222-2-2-22222-2-2-22-2-2-2-22220000-22-2-22-2-2-222-2-2222200000000000000000000000000000000000000−2i2i000000000000−2i2i2i−2i00000000
χ512-2-22-222-22-12-2-22-2-222111-1-12-1-2-21-11111-1-1-100002-22-11-1-1-111-1-1-21110000000033−3−3−3−3333333−3−3−3−3−3−3−3−3333300002i−2i00−i3i3i3−i3−iii−i0000000000000000
χ522-2-22-222-22-12-2-22-2-222111-1-12-1-2-21-11111-1-1-100002-22-11-1-1-111-1-1-21110000000033−3−3−3−3333333−3−3−3−3−3−3−3−333330000−2i2i00i3−i3−i3i3i−i−ii0000000000000000
χ532-2-22-222-22-12-2-22-2-222111-1-12-1-2-21-11111-1-1-100002-22-11-1-1-111-1-1-211100000000−3−33333−3−3−3−3−3−333333333−3−3−3−300002i−2i00i3−i3−i3i3−iii−i0000000000000000
χ542-2-22-222-22-12-2-22-2-222111-1-12-1-2-21-11111-1-1-100002-22-11-1-1-111-1-1-211100000000−3−33333−3−3−3−3−3−333333333−3−3−3−30000−2i2i00−i3i3i3−i3i−i−ii0000000000000000
χ552-2-22-222-2-12-222-211-1-1-2-2-222-1211-2-11111-1-1-100001-11-22-211-1-111-12-1-1−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000002i−2i00000000−333−3−iii−i00000000
χ562-2-22-222-2-12-222-211-1-1-2-2-222-1211-2-11111-1-1-100001-11-22-211-1-111-12-1-1−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000−2i2i000000003−3−33i−i−ii00000000
χ572-2-22-222-2-12-222-211-1-1-2-2-222-1211-2-11111-1-1-100001-11-22-211-1-111-12-1-1i3i3−i3−i3−i3−i3i3i300000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000002i−2i000000003−3−33−iii−i00000000
χ582-2-22-222-2-12-222-211-1-1-2-2-222-1211-2-11111-1-1-100001-11-22-211-1-111-12-1-1i3i3−i3−i3−i3−i3i3i300000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000−2i2i00000000−333−3i−i−ii00000000
χ592-2-2-22-222220000-2-2-222-2-2-22-2-222222-2-22-22-22−2−2200000000000000002−22−2−22−222−22−2−22−222−22−22−22−2−22−22−22−220000000000000000000000002-2002−2−22
χ602-2-2-22-222220000-2-2-222-2-2-22-2-222222-2-22-22-22−2−2200000000000000002−22−2−22−222−22−2−22−222−22−22−22−2−22−22−22−22000000000000000000000000-2200−222−2
χ612-2-2-22-222220000-2-2-222-2-2-22-2-222222-2-22-22-2−222−20000000000000000−22−222−22−2−22−222−22−2−22−22−22−222−22−22−22−20000000000000000000000002-200−222−2
χ622-2-2-22-222220000-2-2-222-2-2-22-2-222222-2-22-22-2−222−20000000000000000−22−222−22−2−22−222−22−2−22−22−22−222−22−22−22−2000000000000000000000000-22002−2−22
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
χ6744444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-100000000000000003i3i−3i−3i−3i−3i3i3i3i3i−3i−3i−3i−3i3i3i00000000000000000000000000000000
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−3i3i3i3i3i−3i−3i−3i−3i3i3i3i3i−3i−3i00000000000000000000000000000000
χ69444-4-4-44-444000044-44-444-44-4-4-4-4-44-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ70444-4-4-44-44-2000044-442-2-22-2-42-4-42-22-2-222-2200000000000000000000000000006−6−666−6−666−66−6−66−666−66−6−66−6600000000000000000000000000000000
χ71444-4-4-44-44-2000044-442-2-22-2-42-4-42-22-2-222-220000000000000000000000000000−666−6−666−6−66−666−66−6−66−666−66−600000000000000000000000000000000
χ72444-4-4-44-4-240000-2-22-2-444-442-422-4-22-2-222-2200000000000000000000i6−i6−i6i6i6−i6−i6i600000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ73444-4-4-44-4-240000-2-22-2-444-442-422-4-22-2-222-2200000000000000000000−i6i6i6−i6−i6i6i6−i600000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ74444-4-4-44-4-2-20000-2-22-22-2-22-2222221-111-1-11-100000000003i−3i3i−3i3i−3i003i−3ii6−i6−i6i6i6−i6−i6i66−6−666−6−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000
χ75444-4-4-44-4-2-20000-2-22-22-2-22-2222221-111-1-11-100000000003i−3i3i−3i3i−3i003i−3i−i6i6i6−i6−i6i6i6−i6−666−6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000
χ76444-4-4-44-4-2-20000-2-22-22-2-22-2222221-111-1-11-10000000000−3i3i−3i3i−3i3i00−3i3ii6−i6−i6i6i6−i6−i6i6−666−6−666−6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000
χ77444-4-4-44-4-2-20000-2-22-22-2-22-2222221-111-1-11-10000000000−3i3i−3i3i−3i3i00−3i3i−i6i6i6−i6−i6i6i6−i66−6−666−6−66ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000
χ7844-444-4-4-44-24-44-44-4-4-4-2-22224-24-42-2-2-22222-200004-4-4-222-2-222224-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ7944-444-4-4-4-244-44-4-222244-4-4-4-24-22-4-2-2-22222-20000-2224-4-4-2-22222-24-2-20000000000000000000000000000000000000000000000000000000000000000
χ8044-444-4-4-4-2-24-44-4-2222-2-2222-2-2-222111-1-1-1-110000-222-22211-1-1-1-1-2-211000000000000000033-3-3-3-333-3-33333-3-300000000000000000000000000000000
χ8144-444-4-4-4-2-24-44-4-2222-2-2222-2-2-222111-1-1-1-110000-222-22211-1-1-1-1-2-2110000000000000000-3-33333-3-333-3-3-3-33300000000000000000000000000000000
χ8244-444-4-4-4-2-2-44-44-2222-2-2222-2-2-222111-1-1-1-114i4i−4i−4i2-2-22-2-2-1-1111122-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000000000
χ8344-444-4-4-4-2-2-44-44-2222-2-2222-2-2-222111-1-1-1-11−4i−4i4i4i2-2-22-2-2-1-1111122-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000000000
χ8444-4-4-44-444400004-44-4-44-44-4-4-4-4444-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-44-444-200004-44-42-22-22-42-44-2-22-22-2-2220000000000000000000000000000i6−i6−i6i6−i6i6i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000
χ8644-4-4-44-444-200004-44-42-22-22-42-44-2-22-22-2-2220000000000000000000000000000−i6i6i6−i6i6−i6−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000
χ8744-4-4-44-44-240000-22-22-44-44-42-42-24-22-22-2-222000000000000000000006−6−66−666−6000000006−6−666−6−66−666−6−666−600000000000000000000000000000000
χ8844-4-4-44-44-240000-22-22-44-44-42-42-24-22-22-2-22200000000000000000000−666−66−6−6600000000−666−6−666−66−6−666−6−6600000000000000000000000000000000
χ8944-4-4-44-44-2-20000-22-222-22-22222-2-21-11-111-1-100000000003i−3i−3i3i−3i3i003i−3i6−6−66−666−6i6−i6−i6i6−i6i6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000
χ9044-4-4-44-44-2-20000-22-222-22-22222-2-21-11-111-1-100000000003i−3i−3i3i−3i3i003i−3i−666−66−6−66−i6i6i6−i6i6−i6−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000
χ9144-4-4-44-44-2-20000-22-222-22-22222-2-21-11-111-1-10000000000−3i3i3i−3i3i−3i00−3i3i6−6−66−666−6−i6i6i6−i6i6−i6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000
χ9244-4-4-44-44-2-20000-22-222-22-22222-2-21-11-111-1-10000000000−3i3i3i−3i3i−3i00−3i3i−666−66−6−66i6−i6−i6i6−i6i6i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000
χ934-444-4-4-444-244-4-4-44-4-422-2224-2-44-2-222-2-222-2000044-4-2-22-2-2-2-222-42220000000000000000000000000000000000000000000000000000000000000000
χ944-444-4-4-44-24-4-4442-222-4-44-4-4-242-24-222-2-222-2000022-2-4-442222-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000
χ954-444-4-4-44-2-244-4-42-22222-222-2-22-2-21-1-111-1-110000-2-22-2-221111-1-122-1-12323−23−232323−23−2300000000−3−333−3−333−3−333−3−33300000000000000000000000000000000
χ964-444-4-4-44-2-244-4-42-22222-222-2-22-2-21-1-111-1-110000-2-22-2-221111-1-122-1-1−23−232323−23−2323230000000033−3−333−3−333−3−333−3−300000000000000000000000000000000
χ974-444-4-4-44-2-2-4-4442-22222-222-2-22-2-21-1-111-1-11000022-222-2-1-1-1-111-2-21100000000−2i3−2i32i32i3−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000000000000000000000000000
χ984-444-4-4-44-2-2-4-4442-22222-222-2-22-2-21-1-111-1-11000022-222-2-1-1-1-111-2-211000000002i32i3−2i3−2i32i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i300000000000000000000000000000000
χ994-44-444-4-44-20000-444-4-22-2-22-424-42-2-22-22-222−2i22i2−2i22i20000000000000000−2i22i2−2i22i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ1004-44-444-4-44-20000-444-4-22-2-22-424-42-2-22-22-2222i2−2i22i2−2i200000000000000002i2−2i22i2−2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ1014-44-444-4-4-2400002-2-224-444-42-4-22-4-2-22-22-222−2i22i2−2i22i20000000000000000i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ1024-44-444-4-4-2400002-2-224-444-42-4-22-4-2-22-22-2222i2−2i22i2−2i20000000000000000−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ1034-44-444-4-4-2-200002-2-22-22-2-2222-22211-11-11-1-1−2i22i2−2i22i20000003i−3i3i−3i−3i3i00−3i3ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+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−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ2300000000000000000000000000000000
χ1044-44-444-4-4-2-200002-2-22-22-2-2222-22211-11-11-1-1−2i22i2−2i22i2000000−3i3i−3i3i3i−3i003i−3ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+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+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ2300000000000000000000000000000000
χ1054-44-444-4-4-2-200002-2-22-22-2-2222-22211-11-11-1-12i2−2i22i2−2i20000003i−3i3i−3i−3i3i00−3i3i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−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−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ2300000000000000000000000000000000
χ1064-44-444-4-4-2-200002-2-22-22-2-2222-22211-11-11-1-12i2−2i22i2−2i2000000−3i3i−3i3i3i−3i003i−3i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−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+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ2300000000000000000000000000000000
χ1074-4-44-444-44-2-444-4-4-444222-2-24-2-4-42-22222-2-2-20000-44-42-2222-2-2224-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ1084-4-44-444-4-244-4-4422-2-2-4-4-444-2422-4-22222-2-2-20000-22-24-44-2-222-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ1094-4-44-444-4-2-24-4-4422-2-2222-2-2-2-22221-1-1-1-11110000-22-2-22-211-1-11122-1-1000000002323−23−23−23−232323−3−3−3−333333333−3−3−3−300000000000000000000000000000000
χ1104-4-44-444-4-2-24-4-4422-2-2222-2-2-2-22221-1-1-1-11110000-22-2-22-211-1-11122-1-100000000−23−2323232323−23−233333−3−3−3−3−3−3−3−3333300000000000000000000000000000000
χ1114-4-44-444-4-2-2-444-422-2-2222-2-2-2-22221-1-1-1-111100002-222-22-1-111-1-1-2-211−2i3−2i32i32i32i32i3−2i3−2i300000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ1124-4-44-444-4-2-2-444-422-2-2222-2-2-2-22221-1-1-1-111100002-222-22-1-111-1-1-2-2112i32i3−2i3−2i3−2i3−2i32i32i300000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ1134-4-4-44-4444-20000-4-4-44-2222-2-4244-2-2-222-22-2222−22−2222000000000000000022−2222−22−2222−2222−22−222−22−2−22−22−22−222−22−22−22−200000000000000000000000000000000
χ1144-4-4-44-4444-20000-4-4-44-2222-2-4244-2-2-222-22-22−222222−220000000000000000−2222−222222−2222−222−22−2−22−222−22−22−22−2−22−22−22−2200000000000000000000000000000000
χ1154-4-4-44-444-240000222-24-4-4-442-4-2-24-2-222-22-2222−22−22220000000000000000−22−222−22−222−2222−22−2222−2222−22−22−22−222−22−22−22−200000000000000000000000000000000
χ1164-4-4-44-444-240000222-24-4-4-442-4-2-24-2-222-22-22−222222−2200000000000000002−22−2−22−22−2222−222222−2222−222−22−22−22−2−22−22−22−2200000000000000000000000000000000
χ1174-4-4-44-444-2-20000222-2-2222-222-2-2-211-1-11-11-122−22−22220000003i−3i−3i3i3i−3i00−3i3i−22−222−22−2−22−222−22−2−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000000000000000000000
χ1184-4-4-44-444-2-20000222-2-2222-222-2-2-211-1-11-11-122−22−2222000000−3i3i3i−3i−3i3i003i−3i−22−222−22−2−22−222−22−2ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000000000000000000000
χ1194-4-4-44-444-2-20000222-2-2222-222-2-2-211-1-11-11-1−222222−220000003i−3i−3i3i3i−3i00−3i3i2−22−2−22−222−22−2−22−222ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ2300000000000000000000000000000000
χ1204-4-4-44-444-2-20000222-2-2222-222-2-2-211-1-11-11-1−222222−22000000−3i3i3i−3i−3i3i003i−3i2−22−2−22−222−22−2−22−22−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000000000000000000000

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