Finite Group Databasebeta

← Group #11792607

Character table — Group #11792607

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222223344446666666666666636666666888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422444444666612121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
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
χ11222222222-1222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-1000000000000
χ12222222222-1222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111100001111000000000000
χ13222222222-1222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-21111111111111111111111112200-2-200-1-1-1-100001111000000000000
χ14222222222-1222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-200220011110000-1-1-1-1000000000000
χ1522222222-122222-1-1-1-1-1222222-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-100000000
χ1622222222-122222-1-1-1-1-1222222-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000011110000111100000000
χ1722222222-122222-1-1-1-1-1222222-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111002200-2-20000-1-1-1-10000111100000000
χ1822222222-122222-1-1-1-1-1222222-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-2111111111111111100-2-20022000011110000-1-1-1-100000000
χ19222-2-2-2-222222-2-222-2-2-222-2-2-2-2-222222-2-2-2-22000022-222-22222-2-2-2-2-2-200000000000000000000000000000000002i−2i000000002i2i−2i−2i0000000000000000
χ20222-2-2-2-222222-2-222-2-2-222-2-2-2-2-222222-2-2-2-22000022-222-22222-2-2-2-2-2-20000000000000000000000000000000000−2i2i00000000−2i−2i2i2i0000000000000000
χ21222-2-2-2-2222-2-22222-2-2-222-2-2-2-2-222222-2-2-2-220000-2-22-2-22-2-2-2-22222220000000000000000000000000000000000002-2000000000022-2-2000000000000
χ22222-2-2-2-2222-2-22222-2-2-222-2-2-2-2-222222-2-2-2-220000-2-22-2-22-2-2-2-2222222000000000000000000000000000000000000-220000000000-2-222000000000000
χ23222-2-2-2-222-1-2-22222-2-2-2-1-11111-22-1-1-1-11111-10000-2-2211-11111-1-12-1-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300002-200−i3−i3i3i30000-1-111000000000000
χ24222-2-2-2-222-1-2-22222-2-2-2-1-11111-22-1-1-1-11111-10000-2-2211-11111-1-12-1-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30000-2200i3i3−i3−i3000011-1-1000000000000
χ25222-2-2-2-222-1-2-22222-2-2-2-1-11111-22-1-1-1-11111-10000-2-2211-11111-1-12-1-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300002-200i3i3−i3−i30000-1-111000000000000
χ26222-2-2-2-222-1-2-22222-2-2-2-1-11111-22-1-1-1-11111-10000-2-2211-11111-1-12-1-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000-2200−i3−i3i3i3000011-1-1000000000000
χ27222-2-2-2-22-1222-2-2-1-111122-2-2-2-21-12-1-1-11111-10000-1-1122-2-1-1-1-1111-2113333−3−3−3−3000000003333−3−3−3−33333−3−3−3−3002i−2i00000000−i−iii0000−i3−i3i3i300000000
χ28222-2-2-2-22-1222-2-2-1-111122-2-2-2-21-12-1-1-11111-10000-1-1122-2-1-1-1-1111-2113333−3−3−3−3000000003333−3−3−3−33333−3−3−3−300−2i2i00000000ii−i−i0000i3i3−i3−i300000000
χ29222-2-2-2-22-1222-2-2-1-111122-2-2-2-21-12-1-1-11111-10000-1-1122-2-1-1-1-1111-211−3−3−3−3333300000000−3−3−3−33333−3−3−3−33333002i−2i00000000−i−iii0000i3i3−i3−i300000000
χ30222-2-2-2-22-1222-2-2-1-111122-2-2-2-21-12-1-1-11111-10000-1-1122-2-1-1-1-1111-211−3−3−3−3333300000000−3−3−3−33333−3−3−3−3333300−2i2i00000000ii−i−i0000−i3−i3i3i300000000
χ3122-2-222-2-22200002-22-2-22-222-2-22-2-222-222-2-2-2−i2−i2i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000002i−2i22−2−2
χ3222-2-222-2-22200002-22-2-22-222-2-22-2-222-222-2-2-2−i2−i2i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000−2i2i−2−222
χ3322-2-222-2-22200002-22-2-22-222-2-22-2-222-222-2-2-2i2i2−i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000002i−2i−2−222
χ3422-2-222-2-22200002-22-2-22-222-2-22-2-222-222-2-2-2i2i2−i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000−2i2i22−2−2
χ352-22-22-22-2220000-22-22-2-222-22-22-2-22-222-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000002i−2i002−22−2
χ362-22-22-22-2220000-22-22-2-222-22-22-2-22-222-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000−2i2i00−22−22
χ372-22-22-22-2220000-22-22-2-222-22-22-2-22-222-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000002i−2i00−22−22
χ382-22-22-22-2220000-22-22-2-222-22-22-2-22-222-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000−2i2i002−22−2
χ392-2-222-2-22222-22-2-2-2-2-22-2-22-2-222222-2-22-2-2222-2-222-2-22-2-222-2-2-2-222222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-2200000000000000000000000000000000
χ402-2-222-2-22222-22-2-2-2-2-22-2-22-2-222222-2-22-2-222-222-22-2-22-2-222-2-2-2-22222-222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-200000000000000000000000000000000
χ412-2-222-2-2222-22-22-2-2-2-22-2-22-2-222222-2-22-2-2220000-222-222-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000002-2-22
χ422-2-222-2-2222-22-22-2-2-2-22-2-22-2-222222-2-22-2-2220000-222-222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000000000-222-2
χ432-2-222-2-222-12-22-2-2-2-2-2211-111-122-1-111-111-1-12-2-222-2-2-111-1-111112-1-1-12-2-222-2-22-111-1-111-1-111-1-111-1-111-1-111-100000000−i3i3−i3i30000−i3i3−i3i3000000000000
χ442-2-222-2-222-12-22-2-2-2-2-2211-111-122-1-111-111-1-12-2-222-2-2-111-1-111112-1-1-12-2-222-2-22-111-1-111-1-111-1-111-1-111-1-111-100000000i3−i3i3−i30000i3−i3i3−i3000000000000
χ452-2-222-2-222-12-22-2-2-2-2-2211-111-122-1-111-111-1-1-222-22-2-2-111-1-111112-1-1-1-222-2-222-21-1-111-1-111-1-111-1-111-1-111-1-1100000000−i3i3−i3i30000i3−i3i3−i3000000000000
χ462-2-222-2-222-12-22-2-2-2-2-2211-111-122-1-111-111-1-1-222-22-2-2-111-1-111112-1-1-1-222-2-222-21-1-111-1-111-1-111-1-111-1-111-1-1100000000i3−i3i3−i30000−i3i3−i3i3000000000000
χ472-2-222-2-22-122-22-21111-1-2-22-2-22-1-12-111-111-1-12-2-22-1112-2-2-1-11111-12-1-1-111-1-111-12-2-222-2-22-111-1-111-1-111-1-111-1000000000000−i3i3−i3i30000−i3i3−i3i300000000
χ482-2-222-2-22-122-22-21111-1-2-22-2-22-1-12-111-111-1-12-2-22-1112-2-2-1-11111-12-1-1-111-1-111-12-2-222-2-22-111-1-111-1-111-1-111-1000000000000i3−i3i3−i30000i3−i3i3−i300000000
χ492-2-222-2-22-122-22-21111-1-2-22-2-22-1-12-111-111-1-1-222-2-1112-2-2-1-11111-12-1-11-1-111-1-11-222-2-222-21-1-111-1-111-1-111-1-11000000000000−i3i3−i3i30000i3−i3i3−i300000000
χ502-2-222-2-22-122-22-21111-1-2-22-2-22-1-12-111-111-1-1-222-2-1112-2-2-1-11111-12-1-11-1-111-1-11-222-2-222-21-1-111-1-111-1-111-1-11000000000000i3−i3i3−i30000−i3i3−i3i300000000
χ512-2-2-2-2222222-2-22-2-222-2-2-2-222-2-2222-2-2-222-2200002-222-2222-2-222-2-2-2-2000000000000000000000000000000000000002-20000000000002-2-2200000000
χ522-2-2-2-2222222-2-22-2-222-2-2-2-222-2-2222-2-2-222-2200002-222-2222-2-222-2-2-2-200000000000000000000000000000000000000-22000000000000-222-200000000
χ532-2-2-2-222222-222-2-2-222-2-2-2-222-2-2222-2-2-222-220000-22-2-22-2-2-222-2-22222000000000000000000000000000000002-20000002-2-2200000000000000000000
χ542-2-2-2-222222-222-2-2-222-2-2-2-222-2-2222-2-2-222-220000-22-2-22-2-2-222-2-2222200000000000000000000000000000000-22000000-222-200000000000000000000
χ552-2-2-2-22222-1-222-2-2-222-2111-1-11-22-1-1111-1-11-10000-22-21-1111-1-1112-1-1-100000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i32-2000000-111-10000−i3i3i3−i3000000000000
χ562-2-2-2-22222-1-222-2-2-222-2111-1-11-22-1-1111-1-11-10000-22-21-1111-1-1112-1-1-100000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3-220000001-1-110000i3−i3−i3i3000000000000
χ572-2-2-2-22222-1-222-2-2-222-2111-1-11-22-1-1111-1-11-10000-22-21-1111-1-1112-1-1-100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i32-2000000-111-10000i3−i3−i3i3000000000000
χ582-2-2-2-22222-1-222-2-2-222-2111-1-11-22-1-1111-1-11-10000-22-21-1111-1-1112-1-1-100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3-220000001-1-110000−i3i3i3−i3000000000000
χ592-2-2-2-2222-122-2-2211-1-11-2-2-222-21-12-1111-1-11-10000-11-12-22-1-111-1-11-2113−3−33−333−3000000003−3−33−333−33−3−33−333−30000002-200003−3−330000-111-100000000
χ602-2-2-2-2222-122-2-2211-1-11-2-2-222-21-12-1111-1-11-10000-11-12-22-1-111-1-11-2113−3−33−333−3000000003−3−33−333−33−3−33−333−3000000-220000−333−300001-1-1100000000
χ612-2-2-2-2222-122-2-2211-1-11-2-2-222-21-12-1111-1-11-10000-11-12-22-1-111-1-11-211−333−33−3−3300000000−333−33−3−33−333−33−3−330000002-20000−333−30000-111-100000000
χ622-2-2-2-2222-122-2-2211-1-11-2-2-222-21-12-1111-1-11-10000-11-12-22-1-111-1-11-211−333−33−3−3300000000−333−33−3−33−333−33−3−33000000-2200003−3−3300001-1-1100000000
χ63444444444-2-4-4-4-444444-2-2-2-2-2-244-2-2-2-2-2-2-2-2-20000-4-4-4222222222-42220000000000000000000000000000000000000000000000000000000000000000
χ6444444444-24-4-4-4-4-2-2-2-2-2444444-2-24-2-2-2-2-2-2-2-20000222-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
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
χ69444-4-4-4-444-244-4-444-4-4-4-2-22222-44-2-2-2-22222-2000044-4-2-22-2-2-2-222-42220000000000000000000000000000000000000000000000000000000000000000
χ70444-4-4-4-44-24-4-444-2-222244-4-4-4-42-24-2-2-22222-2000022-2-4-442222-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000
χ71444-4-4-4-44-2-244-4-4-2-2222-2-222222-2-2111-1-1-1-110000-2-22-2-221111-1-122-1-123232323−23−23−23−2300000000−3−3−3−33333−3−3−3−3333300000000000000000000000000000000
χ72444-4-4-4-44-2-244-4-4-2-2222-2-222222-2-2111-1-1-1-110000-2-22-2-221111-1-122-1-1−23−23−23−2323232323000000003333−3−3−3−33333−3−3−3−300000000000000000000000000000000
χ73444-4-4-4-44-2-2-4-444-2-2222-2-222222-2-2111-1-1-1-11000022-222-2-1-1-1-111-2-21100000000−2i3−2i3−2i3−2i32i32i32i32i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300000000000000000000000000000000
χ74444-4-4-4-44-2-2-4-444-2-2222-2-222222-2-2111-1-1-1-11000022-222-2-1-1-1-111-2-211000000002i32i32i32i3−2i3−2i3−2i3−2i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300000000000000000000000000000000
χ7544-44-4-44-44400004-4-4444-4-4-444-4-4-444-4-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ7644-44-4-44-44-200004-4-444-2222-2-2-4-42-2-2222-2-22000000000000000000000000000066−6−6−6−66666−6−666−6−6−6−666−6−66600000000000000000000000000000000
χ7744-44-4-44-44-200004-4-444-2222-2-2-4-42-2-2222-2-220000000000000000000000000000−6−66666−6−6−6−666−6−66666−6−666−6−600000000000000000000000000000000
χ7844-44-4-44-4-240000-222-2-24-4-4-44422-4-2-2222-2-2200000000000000000000i6i6−i6−i6−i6−i6i6i600000000i6i6−i6−i6−i6−i6i6i6i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000
χ7944-44-4-44-4-240000-222-2-24-4-4-44422-4-2-2222-2-2200000000000000000000−i6−i6i6i6i6i6−i6−i600000000−i6−i6i6i6i6i6−i6−i6−i6−i6i6i6i6i6−i6−i600000000000000000000000000000000
χ8044-44-4-44-4-2-20000-222-2-2-2222-2-222211-1-1-111-100000000003i−3i3i−3i3i−3i003i−3ii6i6−i6−i6−i6−i6i6i666−6−6−6−666−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300000000000000000000000000000000
χ8144-44-4-44-4-2-20000-222-2-2-2222-2-222211-1-1-111-100000000003i−3i3i−3i3i−3i003i−3i−i6−i6i6i6i6i6−i6−i6−6−66666−6−6ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300000000000000000000000000000000
χ8244-44-4-44-4-2-20000-222-2-2-2222-2-222211-1-1-111-10000000000−3i3i−3i3i−3i3i00−3i3ii6i6−i6−i6−i6−i6i6i6−6−66666−6−6−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300000000000000000000000000000000
χ8344-44-4-44-4-2-20000-222-2-2-2222-2-222211-1-1-111-10000000000−3i3i−3i3i−3i3i00−3i3i−i6−i6i6i6i6i6−i6−i666−6−6−6−666ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300000000000000000000000000000000
χ8444-4-444-4-44-200004-44-4-4-22-2-2224-42-2-22-2-2222−2i2−2i22i22i20000000000000000−2i2−2i22i22i2−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ8544-4-444-4-44-200004-44-4-4-22-2-2224-42-2-22-2-22222i22i2−2i2−2i200000000000000002i22i2−2i2−2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ8644-4-444-4-4-240000-22-2224-444-4-4-22-4-2-22-2-2222−2i2−2i22i22i20000000000000000i2i2−i2−i2i2i2−i2−i2−2i2−2i22i22i2−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ8744-4-444-4-4-240000-22-2224-444-4-4-22-4-2-22-2-22222i22i2−2i2−2i20000000000000000−i2−i2i2i2−i2−i2i2i22i22i2−2i2−2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ8844-4-444-4-4-2-20000-22-222-22-2-222-22211-111-1-1-1−2i2−2i22i22i20000003i−3i3i−3i−3i3i00−3i3ii2i2−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
χ8944-4-444-4-4-2-20000-22-222-22-2-222-22211-111-1-1-1−2i2−2i22i22i2000000−3i3i−3i3i3i−3i003i−3ii2i2−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
χ9044-4-444-4-4-2-20000-22-222-22-2-222-22211-111-1-1-12i22i2−2i2−2i20000003i−3i3i−3i−3i3i00−3i3i−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
χ9144-4-444-4-4-2-20000-22-222-22-2-222-22211-111-1-1-12i22i2−2i2−2i2000000−3i3i−3i3i3i−3i003i−3i−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
χ924-444-44-4-4440000-444-44-44-44-44-4-4-44-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-444-44-4-44-20000-444-442-22-22-2-4-42-22-22-22-2200000000000000000000000000006−66−6−66−666−66−66−66−6−66−66−66−6600000000000000000000000000000000
χ944-444-44-4-44-20000-444-442-22-22-2-4-42-22-22-22-220000000000000000000000000000−66−666−66−6−66−66−66−666−66−66−66−600000000000000000000000000000000
χ954-444-44-4-4-2400002-2-22-2-44-44-4422-4-22-22-22-2200000000000000000000i6−i6i6−i6−i6i6−i6i600000000i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000
χ964-444-44-4-4-2400002-2-22-2-44-44-4422-4-22-22-22-2200000000000000000000−i6i6−i6i6i6−i6i6−i600000000−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000
χ974-444-44-4-4-2-200002-2-22-22-22-22-22221-11-11-11-100000000003i−3i−3i3i−3i3i003i−3ii6−i6i6−i6−i6i6−i6i66−66−6−66−66−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000
χ984-444-44-4-4-2-200002-2-22-22-22-22-22221-11-11-11-100000000003i−3i−3i3i−3i3i003i−3i−i6i6−i6i6i6−i6i6−i6−66−666−66−6ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000
χ994-444-44-4-4-2-200002-2-22-22-22-22-22221-11-11-11-10000000000−3i3i3i−3i3i−3i00−3i3ii6−i6i6−i6−i6i6−i6i6−66−666−66−6−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000
χ1004-444-44-4-4-2-200002-2-22-22-22-22-22221-11-11-11-10000000000−3i3i3i−3i3i−3i00−3i3i−i6i6−i6i6i6−i6i6−i66−66−6−66−66ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000
χ1014-44-44-44-44-20000-44-44-42-2-22-224-42-22-2-22-222−2i22i2−2i22i20000000000000000−2i22i2−2i22i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ1024-44-44-44-44-20000-44-44-42-2-22-224-42-22-2-22-2222i2−2i22i2−2i200000000000000002i2−2i22i2−2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ1034-44-44-44-4-2400002-22-22-444-44-4-22-4-22-2-22-222−2i22i2−2i22i20000000000000000i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ1044-44-44-44-4-2400002-22-22-444-44-4-22-4-22-2-22-2222i2−2i22i2−2i20000000000000000−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ1054-44-44-44-4-2-200002-22-222-2-22-22-2221-111-11-1-1−2i22i2−2i22i20000003i−3i−3i3i3i−3i00−3i3ii2−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
χ1064-44-44-44-4-2-200002-22-222-2-22-22-2221-111-11-1-1−2i22i2−2i22i2000000−3i3i3i−3i−3i3i003i−3ii2−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
χ1074-44-44-44-4-2-200002-22-222-2-22-22-2221-111-11-1-12i2−2i22i2−2i20000003i−3i−3i3i3i−3i00−3i3i−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
χ1084-44-44-44-4-2-200002-22-222-2-22-22-2221-111-11-1-12i2−2i22i2−2i2000000−3i3i3i−3i−3i3i003i−3i−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
χ1094-4-444-4-444-2-44-44-4-4-4-4422-222-244-2-222-222-2-20000-4442-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ1104-4-444-4-44-24-44-442222-2-4-44-4-44-2-24-222-222-2-200002-2-2-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ1114-4-444-4-44-2-24-44-42222-222-222-2-2-2-21-1-11-1-1114-4-44-222-22211-1-1-1-1-2-211-222-2-222-2-222-2-222-21-1-111-1-111-1-111-1-1100000000000000000000000000000000
χ1124-4-444-4-44-2-24-44-42222-222-222-2-2-2-21-1-11-1-111-444-4-222-22211-1-1-1-1-2-2112-2-222-2-222-2-222-2-22-111-1-111-1-111-1-111-100000000000000000000000000000000
χ1134-4-444-4-44-2-2-44-442222-222-222-2-2-2-21-1-11-1-11100002-2-22-2-2-1-1111122-1-100000000000000003i−3i−3i3i−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
χ1144-4-444-4-44-2-2-44-442222-222-222-2-2-2-21-1-11-1-11100002-2-22-2-2-1-1111122-1-10000000000000000−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ1154-4-4-4-44444-24-4-44-4-444-4222-2-22-44-2-2222-2-22-200004-44-22-2-2-222-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-4444-24-444-422-2-22-4-4-444-42-24-2222-2-22-200002-22-44-422-2-222-24-2-20000000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-4-4444-2-24-4-4422-2-22222-2-222-2-21-1-1-111-110000-22-2-22-211-1-11122-1-123−23−2323−232323−2300000000−333−33−3−33−333−33−3−3300000000000000000000000000000000
χ1184-4-4-4-4444-2-24-4-4422-2-22222-2-222-2-21-1-1-111-110000-22-2-22-211-1-11122-1-1−232323−2323−23−2323000000003−3−33−333−33−3−33−333−300000000000000000000000000000000
χ1194-4-4-4-4444-2-2-444-422-2-22222-2-222-2-21-1-1-111-1100002-222-22-1-111-1-1-2-21100000000−2i32i32i3−2i32i3−2i3−2i32i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i300000000000000000000000000000000
χ1204-4-4-4-4444-2-2-444-422-2-22222-2-222-2-21-1-1-111-1100002-222-22-1-111-1-1-2-211000000002i3−2i3−2i32i3−2i32i32i3−2i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i300000000000000000000000000000000

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