Finite Group Databasebeta

← Group #11795226

Character table — Group #11795226

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444441212121212121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
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
χ11222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ12222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ13222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-211111111111111111111111122-2-20000-1-1-1-111110000000000000000
χ14222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-22200001111-1-1-1-10000000000000000
χ1522222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ1622222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ1722222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111000022-2-200000000-1-1-1-1111100000000
χ1822222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-211111111111111110000-2-222000000001111-1-1-1-100000000
χ19222-2-2-22-2220000222-2-2222-2-2-2-2-2-22222-2-2-2-222−2−200000000000000002222−2−2−2−22222−2−2−2−222222222−2−2−2−2−2−2−2−20000000000000000000000002-20022−2−2
χ20222-2-2-22-2220000222-2-2222-2-2-2-2-2-22222-2-2-2-222−2−200000000000000002222−2−2−2−22222−2−2−2−222222222−2−2−2−2−2−2−2−2000000000000000000000000-2200−2−222
χ21222-2-2-22-2220000222-2-2222-2-2-2-2-2-22222-2-2-2-2−2−2220000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−2−2−2−2−2222222220000000000000000000000002-200−2−222
χ22222-2-2-22-2220000222-2-2222-2-2-2-2-2-22222-2-2-2-2−2−2220000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−2−2−2−2−222222222000000000000000000000000-220022−2−2
χ2322-222-2-2-22222-2-22-2-22-22-2-2-2222-2-222-2-22-2-22000022-222-22222-2-2-2-2-2-200000000000000000000000000000000002-20000000022-2-20000000000000000
χ2422-222-2-2-22222-2-22-2-22-22-2-2-2222-2-222-2-22-2-22000022-222-22222-2-2-2-2-2-20000000000000000000000000000000000-2200000000-2-2220000000000000000
χ2522-222-2-2-222-2-2222-2-22-22-2-2-2222-2-222-2-22-2-220000-2-22-2-22-2-2-2-2222222000000000000000000000000000000000000002i−2i0000000000002i2i−2i−2i00000000
χ2622-222-2-2-222-2-2222-2-22-22-2-2-2222-2-222-2-22-2-220000-2-22-2-22-2-2-2-222222200000000000000000000000000000000000000−2i2i000000000000−2i−2i2i2i00000000
χ2722-222-2-2-22-122-2-22-2-22-2-11112-1-11-2-1-111-111-1000022-2-1-11-1-1-1-111-21110000000033−3−333−3−33333−3−3−3−33333−3−3−3−3002-2000033−3−3-1-1110000000000000000
χ2822-222-2-2-22-122-2-22-2-22-2-11112-1-11-2-1-111-111-1000022-2-1-11-1-1-1-111-21110000000033−3−333−3−33333−3−3−3−33333−3−3−3−300-220000−3−33311-1-10000000000000000
χ2922-222-2-2-22-122-2-22-2-22-2-11112-1-11-2-1-111-111-1000022-2-1-11-1-1-1-111-211100000000−3−333−3−333−3−3−3−33333−3−3−3−33333002-20000−3−333-1-1110000000000000000
χ3022-222-2-2-22-122-2-22-2-22-2-11112-1-11-2-1-111-111-1000022-2-1-11-1-1-1-111-211100000000−3−333−3−333−3−3−3−33333−3−3−3−3333300-22000033−3−311-1-10000000000000000
χ3122-222-2-2-2-12-2-222-111-112-2-2-2-122-21-1-111-111-1000011-1-2-221111-1-1-12-1-1−i3−i3i3i3−i3−i3i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000002i−2i0000000033−3−3−i−iii00000000
χ3222-222-2-2-2-12-2-222-111-112-2-2-2-122-21-1-111-111-1000011-1-2-221111-1-1-12-1-1−i3−i3i3i3−i3−i3i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000−2i2i00000000−3−333ii−i−i00000000
χ3322-222-2-2-2-12-2-222-111-112-2-2-2-122-21-1-111-111-1000011-1-2-221111-1-1-12-1-1i3i3−i3−i3i3i3−i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000002i−2i00000000−3−333−i−iii00000000
χ3422-222-2-2-2-12-2-222-111-112-2-2-2-122-21-1-111-111-1000011-1-2-221111-1-1-12-1-1i3i3−i3−i3i3i3−i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000−2i2i0000000033−3−3ii−i−i00000000
χ352-222-22-2-2222-22-2-22-2-22-22-2-222-22-22-22-2-22-2200002-222-2222-2-222-2-2-2-2000000000000000000000000000000002-20000002-22-200000000000000000000
χ362-222-22-2-2222-22-2-22-2-22-22-2-222-22-22-22-2-22-2200002-222-2222-2-222-2-2-2-200000000000000000000000000000000-22000000-22-2200000000000000000000
χ372-222-22-2-222-22-22-22-2-22-22-2-222-22-22-22-2-22-220000-22-2-22-2-2-222-2-222220000000000000000000000000000000000002i−2i00000000002i−2i2i−2i000000000000
χ382-222-22-2-222-22-22-22-2-22-22-2-222-22-22-22-2-22-220000-22-2-22-2-2-222-2-22222000000000000000000000000000000000000−2i2i0000000000−2i2i−2i2i000000000000
χ392-222-22-2-22-12-22-2-22-2-221-1112-11-1-2-11-111-11-100002-22-11-1-1-111-1-1-2111000000003−33−33−33−33−33−33−33−33−33−33−33−32-2000000-11-113−33−30000000000000000
χ402-222-22-2-22-12-22-2-22-2-221-1112-11-1-2-11-111-11-100002-22-11-1-1-111-1-1-2111000000003−33−33−33−33−33−33−33−33−33−33−33−3-220000001-11-1−33−330000000000000000
χ412-222-22-2-22-12-22-2-22-2-221-1112-11-1-2-11-111-11-100002-22-11-1-1-111-1-1-211100000000−33−33−33−33−33−33−33−33−33−33−33−332-2000000-11-11−33−330000000000000000
χ422-222-22-2-22-12-22-2-22-2-221-1112-11-1-2-11-111-11-100002-22-11-1-1-111-1-1-211100000000−33−33−33−33−33−33−33−33−33−33−33−33-220000001-11-13−33−30000000000000000
χ432-222-22-2-2-12-22-221-111-1-22-2-2-12-221-11-111-11-100001-11-22-211-1-111-12-1-1−i3i3−i3i3−i3i3−i3i300000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300002i−2i0000000000−ii−ii3−33−300000000
χ442-222-22-2-2-12-22-221-111-1-22-2-2-12-221-11-111-11-100001-11-22-211-1-111-12-1-1−i3i3−i3i3−i3i3−i3i300000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i30000−2i2i0000000000i−ii−i−33−3300000000
χ452-222-22-2-2-12-22-221-111-1-22-2-2-12-221-11-111-11-100001-11-22-211-1-111-12-1-1i3−i3i3−i3i3−i3i3−i300000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300002i−2i0000000000−ii−ii−33−3300000000
χ462-222-22-2-2-12-22-221-111-1-22-2-2-12-221-11-111-11-100001-11-22-211-1-111-12-1-1i3−i3i3−i3i3−i3i3−i300000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i30000−2i2i0000000000i−ii−i3−33−300000000
χ472-2-22-2-222222-2-22-2-22-2-2-2-22222-2-222-2-22-2-2222-22-22-2-22-2-222-2-2-2-222222-2-222-2-222-2-222-2-222-22-2-22-222-22-2-22-2200000000000000000000000000000000
χ482-2-22-2-222222-2-22-2-22-2-2-2-22222-2-222-2-22-2-222-22-222-2-22-2-222-2-2-2-22222-222-2-222-2-222-2-222-2-22-222-22-2-22-222-22-200000000000000000000000000000000
χ492-2-22-2-22222-222-2-2-22-2-2-2-22222-2-222-2-22-2-2220000-222-222-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ502-2-22-2-22222-222-2-2-22-2-2-2-22222-2-222-2-22-2-2220000-222-222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ512-2-22-2-2222-12-2-22-2-22-2-211-1-12-1112-111-111-1-12-22-22-2-2-111-1-111112-1-1-12-2-222-2-22-111-1-111-1-11-111-11-1-11-111-11-1000000003−3−33−333−30000000000000000
χ522-2-22-2-2222-12-2-22-2-22-2-211-1-12-1112-111-111-1-12-22-22-2-2-111-1-111112-1-1-12-2-222-2-22-111-1-111-1-11-111-11-1-11-111-11-100000000−333−33−3−330000000000000000
χ532-2-22-2-2222-12-2-22-2-22-2-211-1-12-1112-111-111-1-1-22-222-2-2-111-1-111112-1-1-1-222-2-222-21-1-111-1-111-11-1-11-111-11-1-11-11000000003−3−333−3−330000000000000000
χ542-2-22-2-2222-12-2-22-2-22-2-211-1-12-1112-111-111-1-1-22-222-2-2-111-1-111112-1-1-1-222-2-222-21-1-111-1-111-11-1-11-111-11-1-11-1100000000−333−3−333−30000000000000000
χ552-2-22-2-222-122-2-2211-111-2-222-12-2-2-1-111-111-1-12-22-2-1112-2-2-1-11111-12-1-1-111-1-111-12-2-222-2-22-11-111-11-1-11-111-11-10000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ562-2-22-2-222-122-2-2211-111-2-222-12-2-2-1-111-111-1-12-22-2-1112-2-2-1-11111-12-1-1-111-1-111-12-2-222-2-22-11-111-11-1-11-111-11-10000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ572-2-22-2-222-122-2-2211-111-2-222-12-2-2-1-111-111-1-1-22-22-1112-2-2-1-11111-12-1-11-1-111-1-11-222-2-222-21-11-1-11-111-11-1-11-110000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ582-2-22-2-222-122-2-2211-111-2-222-12-2-2-1-111-111-1-1-22-22-1112-2-2-1-11111-12-1-11-1-111-1-11-222-2-222-21-11-1-11-111-11-1-11-110000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ592-2-2-2222-2220000-2-2222-2-22-2-2-222-22-2-2222-2-22−2−2200000000000000002−2−22−222−22−2−22−222−22−22−2−22−22−22−222−22−2000000000000000000000000002i−2i−i2i2i2−i2
χ602-2-2-2222-2220000-2-2222-2-22-2-2-222-22-2-2222-2-22−2−2200000000000000002−2−22−222−22−2−22−222−22−22−2−22−22−22−222−22−200000000000000000000000000−2i2ii2−i2−i2i2
χ612-2-2-2222-2220000-2-2222-2-22-2-2-222-22-2-2222-2-2−222−20000000000000000−222−22−2−22−222−22−2−22−22−222−22−22−22−2−22−22000000000000000000000000002i−2ii2−i2−i2i2
χ622-2-2-2222-2220000-2-2222-2-22-2-2-222-22-2-2222-2-2−222−20000000000000000−222−22−2−22−222−22−2−22−22−222−22−22−22−2−22−2200000000000000000000000000−2i2i−i2i2i2−i2
χ63444444444-2-4-4-4-444444-2-2-2-24-2-2-24-2-2-2-2-2-2-2-20000-4-4-4222222222-42220000000000000000000000000000000000000000000000000000000000000000
χ6444444444-24-4-4-4-4-2-2-2-2-24444-2444-2-2-2-2-2-2-2-2-20000222-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
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
χ69444-4-4-44-44-20000444-4-4-2-2-22-4222-4-2-2-2-222222222−22−22000000000000000022222222−22−22−22−22−2−2−2−22222−2−2−2−2−2−2−2−22222222200000000000000000000000000000000
χ70444-4-4-44-44-20000444-4-4-2-2-22-4222-4-2-2-2-22222−22−2222220000000000000000−22−22−22−22222222222222−2−2−2−222222222−2−2−2−2−2−2−2−200000000000000000000000000000000
χ71444-4-4-44-4-240000-2-2-222444-42-4-4-42-2-2-2-222222222−22−220000000000000000−2−2−2−2222222222222−22−22−22−22−2−2−2−2−2−2−2−22222222200000000000000000000000000000000
χ72444-4-4-44-4-240000-2-2-222444-42-4-4-42-2-2-2-22222−22−22222200000000000000002222−2−2−2−2−22−22−22−222222222222222222−2−2−2−2−2−2−2−200000000000000000000000000000000
χ73444-4-4-44-4-2-20000-2-2-222-2-2-22222221111-1-1-1-12222−22−220000003i−3i3i−3i3i−3i003i−3i−2−2−2−22222−2−2−2−22222−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ2300000000000000000000000000000000
χ74444-4-4-44-4-2-20000-2-2-222-2-2-22222221111-1-1-1-12222−22−22000000−3i3i−3i3i−3i3i00−3i3i−2−2−2−22222−2−2−2−22222ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000000000000000000000
χ75444-4-4-44-4-2-20000-2-2-222-2-2-22222221111-1-1-1-1−22−2222220000003i−3i3i−3i3i−3i003i−3i2222−2−2−2−22222−2−2−2−22ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000000000000000000000
χ76444-4-4-44-4-2-20000-2-2-222-2-2-22222221111-1-1-1-1−22−222222000000−3i3i−3i3i−3i3i00−3i3i2222−2−2−2−22222−2−2−2−2−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000000000000000000000
χ7744-444-4-4-44-2-4-4444-4-44-4-22224-2-22-4-2-222-222-20000-4-4422-22222-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ7844-444-4-4-4-2444-4-4-222-224-4-4-4-244-42-2-222-222-20000-2-2244-4-2-2-2-2222-4220000000000000000000000000000000000000000000000000000000000000000
χ7944-444-4-4-4-2-244-4-4-222-22-2222-2-2-22211-1-11-1-110000-2-22-2-221111-1-122-1-1000000002323−23−232323−23−23−3−3−3−33333−3−3−3−3333300000000000000000000000000000000
χ8044-444-4-4-4-2-244-4-4-222-22-2222-2-2-22211-1-11-1-110000-2-22-2-221111-1-122-1-100000000−23−232323−23−2323233333−3−3−3−33333−3−3−3−300000000000000000000000000000000
χ8144-444-4-4-4-2-2-4-444-222-22-2222-2-2-22211-1-11-1-11000022-222-2-1-1-1-111-2-211−2i3−2i32i32i3−2i3−2i32i32i300000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ8244-444-4-4-4-2-2-4-444-222-22-2222-2-2-22211-1-11-1-11000022-222-2-1-1-1-111-2-2112i32i3−2i3−2i32i32i3−2i3−2i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ8344-4-4-44-444400004-4-4-444-4-44-4-4-44444-4-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8444-4-4-44-444-200004-4-4-44-222-2-422-24-2-2222-2-22000000000000000000000000000066−6−6−6−6666666−6−6−6−6−6−6−6−6666600000000000000000000000000000000
χ8544-4-4-44-444-200004-4-4-44-222-2-422-24-2-2222-2-220000000000000000000000000000−6−66666−6−6−6−6−6−666666666−6−6−6−600000000000000000000000000000000
χ8644-4-4-44-44-240000-2222-24-4-442-4-44-2-2-2222-2-2200000000000000000000i6i6−i6−i6−i6−i6i6i600000000i6i6−i6−i6i6i6−i6−i6−i6−i6i6i6−i6−i6i6i600000000000000000000000000000000
χ8744-4-4-44-44-240000-2222-24-4-442-4-44-2-2-2222-2-2200000000000000000000−i6−i6i6i6i6i6−i6−i600000000−i6−i6i6i6−i6−i6i6i6i6i6−i6−i6i6i6−i6−i600000000000000000000000000000000
χ8844-4-4-44-44-2-20000-2222-2-222-2222-2-211-1-1-111-100000000003i−3i3i−3i−3i3i00−3i3ii6i6−i6−i6−i6−i6i6i666−6−6−6−666−ζ5+ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ5+ζ13−ζ5+ζ1300000000000000000000000000000000
χ8944-4-4-44-44-2-20000-2222-2-222-2222-2-211-1-1-111-100000000003i−3i3i−3i−3i3i00−3i3i−i6−i6i6i6i6i6−i6−i6−6−66666−6−6ζ5−ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ5−ζ13ζ5−ζ1300000000000000000000000000000000
χ9044-4-4-44-44-2-20000-2222-2-222-2222-2-211-1-1-111-10000000000−3i3i−3i3i3i−3i003i−3ii6i6−i6−i6−i6−i6i6i6−6−66666−6−6−ζ7+ζ23−ζ7+ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ2300000000000000000000000000000000
χ9144-4-4-44-44-2-20000-2222-2-222-2222-2-211-1-1-111-10000000000−3i3i−3i3i3i−3i003i−3i−i6−i6i6i6i6i6−i6−i666−6−6−6−666ζ7−ζ23ζ7−ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ2300000000000000000000000000000000
χ924-444-44-4-44-2-44-44-44-4-442-2224-22-2-4-22-222-22-20000-44-42-2222-2-2224-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ934-444-44-4-4-244-44-42-222-2-44-4-4-24-442-22-222-22-20000-22-24-44-2-222-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ944-444-44-4-4-2-24-44-42-222-22-222-2-22-221-11-1-11-110000-22-2-22-211-1-11122-1-10000000023−2323−2323−2323−23−33−33−33−33−33−33−33−3300000000000000000000000000000000
χ954-444-44-4-4-2-24-44-42-222-22-222-2-22-221-11-1-11-110000-22-2-22-211-1-11122-1-100000000−2323−2323−2323−23233−33−33−33−33−33−33−33−300000000000000000000000000000000
χ964-444-44-4-4-2-2-44-442-222-22-222-2-22-221-11-1-11-1100002-222-22-1-111-1-1-2-211−2i32i3−2i32i3−2i32i3−2i32i300000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300000000000000000000000000000000
χ974-444-44-4-4-2-2-44-442-222-22-222-2-22-221-11-1-11-1100002-222-22-1-111-1-1-2-2112i3−2i32i3−2i32i3−2i32i3−2i300000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300000000000000000000000000000000
χ984-44-44-4-44440000-44-44-4-44-44-4-44-444-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-44-44-4-444-20000-44-44-42-22-2-42-224-22-22-22-2200000000000000000000000000006−66−6−66−666−66−66−66−6−66−66−66−6600000000000000000000000000000000
χ1004-44-44-4-444-20000-44-44-42-22-2-42-224-22-22-22-220000000000000000000000000000−66−666−66−6−66−66−66−666−66−66−66−600000000000000000000000000000000
χ1014-44-44-4-44-2400002-22-22-44-442-44-4-2-22-22-22-2200000000000000000000i6−i6i6−i6−i6i6−i6i600000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ1024-44-44-4-44-2400002-22-22-44-442-44-4-2-22-22-22-2200000000000000000000−i6i6−i6i6i6−i6i6−i600000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ1034-44-44-4-44-2-200002-22-222-22-222-22-21-11-11-11-100000000003i−3i−3i3i3i−3i00−3i3ii6−i6i6−i6−i6i6−i6i66−66−6−66−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000
χ1044-44-44-4-44-2-200002-22-222-22-222-22-21-11-11-11-100000000003i−3i−3i3i3i−3i00−3i3i−i6i6−i6i6i6−i6i6−i6−66−666−66−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000
χ1054-44-44-4-44-2-200002-22-222-22-222-22-21-11-11-11-10000000000−3i3i3i−3i−3i3i003i−3ii6−i6i6−i6−i6i6−i6i6−66−666−66−6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000
χ1064-44-44-4-44-2-200002-22-222-22-222-22-21-11-11-11-10000000000−3i3i3i−3i−3i3i003i−3i−i6i6−i6i6i6−i6i6−i66−66−6−66−66ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000
χ1074-4-44-4-4444-2-444-4-4-44-4-422-2-24-2224-222-222-2-20000-4442-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ1084-4-44-4-444-24-444-422-222-4-444-24-4-4-2-222-222-2-200002-2-2-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ1094-4-44-4-444-2-24-4-4422-22222-2-2-2-222-21-1-11-1-1114-44-4-222-22211-1-1-1-1-2-211-222-2-222-2-222-2-222-21-11-1-11-111-11-1-11-1100000000000000000000000000000000
χ1104-4-44-4-444-2-24-4-4422-22222-2-2-2-222-21-1-11-1-111-44-44-222-22211-1-1-1-1-2-2112-2-222-2-222-2-222-2-22-11-111-11-1-11-111-11-100000000000000000000000000000000
χ1114-4-44-4-444-2-2-444-422-22222-2-2-2-222-21-1-11-1-11100002-2-22-2-2-1-1111122-1-100000000000000003i−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000
χ1124-4-44-4-444-2-2-444-422-22222-2-2-2-222-21-1-11-1-11100002-2-22-2-2-1-1111122-1-10000000000000000−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000
χ1134-4-4-4444-44-20000-4-444422-22-42-2-2-4-222-2-2-22222−22−2222000000000000000022−22−2222−222222−22−222−22−2−22−22−222−22−22−22−2−22−2200000000000000000000000000000000
χ1144-4-4-4444-44-20000-4-444422-22-42-2-2-4-222-2-2-222−222222−220000000000000000−222222−2222−22−22222−2−22−222−22−22−2−22−22−22−222−22−200000000000000000000000000000000
χ1154-4-4-4444-4-24000022-2-2-2-4-44-42-4442-222-2-2-22222−22−22220000000000000000−222−22−2−2222−22−2222−222222−22−22−222−22−22−22−2−22−2200000000000000000000000000000000
χ1164-4-4-4444-4-24000022-2-2-2-4-44-42-4442-222-2-2-222−222222−2200000000000000002−2−22−222−2−222222−2222−22−22222−22−2−22−22−22−222−22−200000000000000000000000000000000
χ1174-4-4-4444-4-2-2000022-2-2-222-2222-2-221-1-1111-1-122−22−22220000003i−3i−3i3i−3i3i003i−3i−222−22−2−22−222−22−2−22−2ζ5−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+2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ2300000000000000000000000000000000
χ1184-4-4-4444-4-2-2000022-2-2-222-2222-2-221-1-1111-1-122−22−2222000000−3i3i3i−3i3i−3i00−3i3i−222−22−2−22−222−22−2−22ζ5+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−ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000000000000000000000
χ1194-4-4-4444-4-2-2000022-2-2-222-2222-2-221-1-1111-1-1−222222−220000003i−3i−3i3i−3i3i003i−3i2−2−22−222−22−2−22−222−22ζ5+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−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000000000000000000000
χ1204-4-4-4444-4-2-2000022-2-2-222-2222-2-221-1-1111-1-1−222222−22000000−3i3i3i−3i3i−3i00−3i3i2−2−22−222−22−2−22−222−2−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+ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000000000000000000000

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