Finite Group Databasebeta

← Group #11789069

Character table — Group #11789069

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444444444444412121212121212121212121212121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ911-11-1-11-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11-1-1ii−i−i1-1i−iii−i−iii−i−i11-1-111-1-1i−iii−i−i
χ1011-11-1-11-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-111−i−iii-11i−iii−i−iii−i−i-1-111-1-111−ii−i−iii
χ1111-11-1-11-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11-1-1−i−iii1-1−ii−i−iii−i−iii11-1-111-1-1−ii−i−iii
χ1211-11-1-11-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-111ii−i−i-11−ii−i−iii−i−iii-1-111-1-111i−iii−i−i
χ1311-11-1-11-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i11-1-1ii−i−i-11−iiii−i−i−i−iii11-1-1-1-111i−i−i−iii
χ1411-11-1-11-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i-1-111−i−iii1-1−iiii−i−i−i−iii-1-11111-1-1−iiii−i−i
χ1511-11-1-11-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii11-1-1−i−iii-11i−i−i−iiiii−i−i11-1-1-1-111−iiii−i−i
χ1611-11-1-11-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii-1-111ii−i−i1-1i−i−i−iiiii−i−i-1-11111-1-1i−i−i−iii
χ172222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000222200000000000000000000-2-20000
χ182222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-200000000000000000000220000
χ19222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000220000000000-1-1-1-1-1-1-1-1000000
χ20222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2000000000011111111000000
χ21222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000022220000-2-20000000000-1-1-1-11111000000
χ22222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-2-2-200002200000000001111-1-1-1-1000000
χ2322222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000000022-1-1-1-1-1-1-1-100000000000000
χ2422222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-21111111100000000000000
χ2522222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111122220000000000-2-2-1-1-1-1111100000000000000
χ2622222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-20000000000221111-1-1-1-100000000000000
χ2722-22-2-22-222-22-22222-2-2-2-2-2-222-2-22222-2-2-2-220000-2-22222-2-22222-2-2-2-200000000000000000000000000000000000000002i2i−2i−2i00000000000000000000−2i2i0000
χ2822-22-2-22-222-22-22222-2-2-2-2-2-222-2-22222-2-2-2-220000-2-22222-2-22222-2-2-2-20000000000000000000000000000000000000000−2i−2i2i2i000000000000000000002i−2i0000
χ2922-22-2-22-22-12-22-222-1-2-211112-1-2-2-1-1-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000022-2-200002-20000000000-1-111-1-111000000
χ3022-22-2-22-22-12-22-222-1-2-211112-1-2-2-1-1-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-2220000-22000000000011-1-111-1-1000000
χ3122-22-2-22-22-12-22-222-1-2-211112-1-2-2-1-1-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000022-2-20000-220000000000-1-11111-1-1000000
χ3222-22-2-22-22-12-22-222-1-2-211112-1-2-2-1-1-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-2-22200002-2000000000011-1-1-1-111000000
χ3322-22-2-22-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i2i−2i−2i00000000002i−2i−i−iii−i−iii00000000000000
χ3422-22-2-22-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i−2i2i2i0000000000−2i2iii−i−iii−i−i00000000000000
χ3522-22-2-22-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12i2i−2i−2i0000000000−2i2i−i−iiiii−i−i00000000000000
χ3622-22-2-22-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1−2i−2i2i2i00000000002i−2iii−i−i−i−iii00000000000000
χ372-2222-2-2-22222-2-2-2-2-22-222-2-2222-2-22-2-222-2-220000222-22-22222-2-2-2-2-2-2000000000000000000000000000000002-22-20000000000002-22-2000000000000000000
χ382-2222-2-2-22222-2-2-2-2-22-222-2-2222-2-22-2-222-2-220000222-22-22222-2-2-2-2-2-200000000000000000000000000000000-22-22000000000000-22-22000000000000000000
χ392-2222-2-2-222-2-222-2-2-22-222-2-2222-2-22-2-222-2-220000-2-2-22-22-2-2-2-22222220000000000000000000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ402-2222-2-2-222-2-222-2-2-22-222-2-2222-2-22-2-222-2-220000-2-2-22-22-2-2-2-2222222000000000000000000000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ412-2222-2-2-22-1-2-222-2-212-2-1-1112-12-21-111-1-111-10000-21-221-11111-1-12-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300002i−2i2i−2i0000000000000000−ii−ii3−33−3000000
χ422-2222-2-2-22-1-2-222-2-212-2-1-1112-12-21-111-1-111-10000-21-221-11111-1-12-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−2i2i−2i2i0000000000000000i−ii−i−33−33000000
χ432-2222-2-2-22-1-2-222-2-212-2-1-1112-12-21-111-1-111-10000-21-221-11111-1-12-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300002i−2i2i−2i0000000000000000−ii−ii−33−33000000
χ442-2222-2-2-22-1-2-222-2-212-2-1-1112-12-21-111-1-111-10000-21-221-11111-1-12-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
χ452-2222-2-2-2-1222-2-211-2-1122-2-2-12-11-2-111-1-111-10000-12-112-2-1-1-1-1111-21133−3−3000033−3−333−3−333−3−3000033−3−333−3−32-22-2000000000000-11-113−33−300000000000000
χ462-2222-2-2-2-1222-2-211-2-1122-2-2-12-11-2-111-1-111-10000-12-112-2-1-1-1-1111-21133−3−3000033−3−333−3−333−3−3000033−3−333−3−3-22-220000000000001-11-1−33−3300000000000000
χ472-2222-2-2-2-1222-2-211-2-1122-2-2-12-11-2-111-1-111-10000-12-112-2-1-1-1-1111-211−3−3330000−3−333−3−333−3−3330000−3−333−3−3332-22-2000000000000-11-11−33−3300000000000000
χ482-2222-2-2-2-1222-2-211-2-1122-2-2-12-11-2-111-1-111-10000-12-112-2-1-1-1-1111-211−3−3330000−3−333−3−333−3−3330000−3−333−3−333-22-220000000000001-11-13−33−300000000000000
χ492-22-2-222-22200002-2-2222-22-2-2-2-2-2222-22-22-2-22−22−200000000000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2000000002i−2i2i−2i0000000000000000000000−i2i2−i2i2
χ502-22-2-222-22200002-2-2222-22-2-2-2-2-2222-22-22-2-22−22−200000000000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−200000000−2i2i−2i2i0000000000000000000000i2−i2i2−i2
χ512-22-2-222-22200002-2-2222-22-2-2-2-2-2222-22-22-2-2−22−220000000000000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22000000002i−2i2i−2i0000000000000000000000i2−i2i2−i2
χ522-22-2-222-22200002-2-2222-22-2-2-2-2-2222-22-22-2-2−22−220000000000000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2200000000−2i2i−2i2i0000000000000000000000−i2i2−i2i2
χ532-2-22-22-22222-2-22-2-2-2-22-2-22222-22-22-2-2-2-2222000022-22-2222-2-222-2-2-2-2000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000000000
χ542-2-22-22-22222-2-22-2-2-2-22-2-22222-22-22-2-2-2-2222000022-22-2222-2-222-2-2-2-200000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000000000
χ552-2-22-22-2222-222-2-2-2-2-22-2-22222-22-22-2-2-2-22220000-2-22-22-2-2-222-2-222220000000000000000000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ562-2-22-22-2222-222-2-2-2-2-22-2-22222-22-22-2-2-2-22220000-2-22-22-2-2-222-2-22222000000000000000000000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ572-2-22-22-222-1-222-2-2-21-2211-1-12-1-221-11111-1-1-10000-212-2-1111-1-1112-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300002i−2i−2i2i0000000000000000−iii−i3−3−33000000
χ582-2-22-22-222-1-222-2-2-21-2211-1-12-1-221-11111-1-1-10000-212-2-1111-1-1112-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−2i2i2i−2i0000000000000000i−i−ii−333−3000000
χ592-2-22-22-222-1-222-2-2-21-2211-1-12-1-221-11111-1-1-10000-212-2-1111-1-1112-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300002i−2i−2i2i0000000000000000−iii−i−333−3000000
χ602-2-22-22-222-1-222-2-2-21-2211-1-12-1-221-11111-1-1-10000-212-2-1111-1-1112-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−2i2i2i−2i0000000000000000i−i−ii3−3−33000000
χ612-2-22-22-22-122-2-2211-21-1-2-222-121-1-2-11111-1-1-10000-121-1-22-1-111-1-11-21133−3−3000033−3−333−3−3−3−3330000−3−333−3−3332i−2i−2i2i000000000000−iii−ii3−i3−i3i300000000000000
χ622-2-22-22-22-122-2-2211-21-1-2-222-121-1-2-11111-1-1-10000-121-1-22-1-111-1-11-21133−3−3000033−3−333−3−3−3−3330000−3−333−3−333−2i2i2i−2i000000000000i−i−ii−i3i3i3−i300000000000000
χ632-2-22-22-22-122-2-2211-21-1-2-222-121-1-2-11111-1-1-10000-121-1-22-1-111-1-11-211−3−3330000−3−333−3−33333−3−3000033−3−333−3−32i−2i−2i2i000000000000−iii−i−i3i3i3−i300000000000000
χ642-2-22-22-22-122-2-2211-21-1-2-222-121-1-2-11111-1-1-10000-121-1-22-1-111-1-11-211−3−3330000−3−333−3−33333−3−3000033−3−333−3−3−2i2i2i−2i000000000000i−i−iii3−i3−i3i300000000000000
χ652-2-2-22-2222200002-2-2-2-2-22-22-2-222222-2-22-22-22−2−2200000000000000002−22−22−22−22−22−22−22−2−22−22−22−22−22−22−22−22000000002-2-220000000000000000000000−222−2
χ662-2-2-22-2222200002-2-2-2-2-22-22-2-222222-2-22-22-22−2−2200000000000000002−22−22−22−22−22−22−22−2−22−22−22−22−22−22−22−2200000000-222-200000000000000000000002−2−22
χ672-2-2-22-2222200002-2-2-2-2-22-22-2-222222-2-22-22-2−222−20000000000000000−22−22−22−22−22−22−22−222−22−22−22−22−22−22−22−2000000002-2-2200000000000000000000002−2−22
χ682-2-2-22-2222200002-2-2-2-2-22-22-2-222222-2-22-22-2−222−20000000000000000−22−22−22−22−22−22−22−222−22−22−22−22−22−22−22−200000000-222-20000000000000000000000−222−2
χ69444444444-2-4-4-4-444-244-2-2-2-24-244-2-2-2-2-2-2-2-2-20000-42-4-422222222-42220000000000000000000000000000000000000000000000000000000000000000000000
χ7044444444-24-4-4-4-4-2-24-2-24444-24-2-24-2-2-2-2-2-2-2-200002-422-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000000000
χ7144444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111114444-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000
χ7244444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-4-4-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ7344444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-1000000003i3i−3i−3i−3i−3i3i3i000000003i3i−3i−3i−3i−3i3i3i00000000000000000000000000000000000000
χ7444444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-100000000−3i−3i3i3i3i3i−3i−3i00000000−3i−3i3i3i3i3i−3i−3i00000000000000000000000000000000000000
χ75444-4-4-4-44440000-4444-44-4-44-4-4-44-44-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ76444-4-4-4-444-20000-44-24-4-222-2-42-442-22-2-222-22000000000000000000000000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i60000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ77444-4-4-4-444-20000-44-24-4-222-2-42-442-22-2-222-22000000000000000000000000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i60000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ78444-4-4-4-44-2400002-24-224-4-442-42-2-4-22-2-222-22000000000000000000006−6−6600006−6−666−6−666−6−6600006−6−666−6−6600000000000000000000000000000000000000
χ79444-4-4-4-44-2400002-24-224-4-442-42-2-4-22-2-222-2200000000000000000000−666−60000−666−6−666−6−666−60000−666−6−666−600000000000000000000000000000000000000
χ80444-4-4-4-44-2-200002-2-2-22-222-2222-221-111-1-11-100000000003i−3i3i−3i3i−3i003i−3i6−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ136−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000000000
χ81444-4-4-4-44-2-200002-2-2-22-222-2222-221-111-1-11-100000000003i−3i3i−3i3i−3i003i−3i−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000000000
χ82444-4-4-4-44-2-200002-2-2-22-222-2222-221-111-1-11-10000000000−3i3i−3i3i−3i3i00−3i3i6−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ236−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000000
χ83444-4-4-4-44-2-200002-2-2-22-222-2222-221-111-1-11-10000000000−3i3i−3i3i−3i3i00−3i3i−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000
χ8444-44-4-44-44-2-44-4444-2-4-422224-2-4-4-2-2-2-22222-20000-4244-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000000000
χ8544-44-4-44-4-24-44-44-2-2422-4-4-4-4-24224-2-2-22222-200002-4-2-24422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000000000
χ8644-44-4-44-4-2-24-44-4-2-2-2222222-2-222-2111-1-1-1-1144-4-4-2-2222211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ8744-44-4-44-4-2-24-44-4-2-2-2222222-2-222-2111-1-1-1-11-4-444-2-2222211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000
χ8844-44-4-44-4-2-2-44-44-2-2-2222222-2-222-2111-1-1-1-11000022-2-2-2-2-1-1111122-1-1000000003i3i−3i−3i−3i−3i3i3i00000000−3i−3i3i3i3i3i−3i−3i00000000000000000000000000000000000000
χ8944-44-4-44-4-2-2-44-44-2-2-2222222-2-222-2111-1-1-1-11000022-2-2-2-2-1-1111122-1-100000000−3i−3i3i3i3i3i−3i−3i000000003i3i−3i−3i−3i−3i3i3i00000000000000000000000000000000000000
χ9044-4-444-4-4440000-444-44-444-4-4-44-4-44-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-444-4-44-20000-44-2-442-2-22-424-42-22-22-2-222000000000000000000000000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i60000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ9244-4-444-4-44-20000-44-2-442-2-22-424-42-22-22-2-222000000000000000000000000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i60000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ9344-4-444-4-4-2400002-242-2-444-42-4-22-4-22-22-2-222000000000000000000006−6−6600006−6−666−6−66−666−60000−666−6−666−600000000000000000000000000000000000000
χ9444-4-444-4-4-2400002-242-2-444-42-4-22-4-22-22-2-22200000000000000000000−666−60000−666−6−666−66−6−6600006−6−666−6−6600000000000000000000000000000000000000
χ9544-4-444-4-4-2-200002-2-22-22-2-2222-2221-11-111-1-100000000003i−3i−3i3i−3i3i003i−3i6−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000000000
χ9644-4-444-4-4-2-200002-2-22-22-2-2222-2221-11-111-1-100000000003i−3i−3i3i−3i3i003i−3i−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ136−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000000000
χ9744-4-444-4-4-2-200002-2-22-22-2-2222-2221-11-111-1-10000000000−3i3i3i−3i3i−3i00−3i3i6−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000
χ9844-4-444-4-4-2-200002-2-22-22-2-2222-2221-11-111-1-10000000000−3i3i3i−3i3i−3i00−3i3i−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ236−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000000
χ994-4444-4-4-44-244-4-4-4-424-4-2-2224-24-42-222-2-222-200004-24-4-22-2-2-2-222-42220000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4444-4-4-4-24-4-44422-4-2244-4-4-24-22-4-222-2-222-200002-42-2-442222-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4444-4-4-4-2-244-4-4222-22-2-222-2-2-2221-1-111-1-110000-2-2-22-221111-1-122-1-12323−23−230000−3−333−3−3332323−23−230000−3−333−3−33300000000000000000000000000000000000000
χ1024-4444-4-4-4-2-244-4-4222-22-2-222-2-2-2221-1-111-1-110000-2-2-22-221111-1-122-1-1−23−232323000033−3−333−3−3−23−232323000033−3−333−3−300000000000000000000000000000000000000
χ1034-4444-4-4-4-2-2-4-444222-22-2-222-2-2-2221-1-111-1-110000222-22-2-1-1-1-111-2-2110000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i300000000000000000000000000000000000000
χ1044-4444-4-4-4-2-2-4-444222-22-2-222-2-2-2221-1-111-1-110000222-22-2-1-1-1-111-2-21100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i300002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i300000000000000000000000000000000000000
χ1054-44-4-444-44-200004-4244-22-22-42-4-4-2-2-22-22-22222−2222−22000000000000000022−2222−22−22−22−22−22−22−2222−2222−22−22−22−22−22−22−2200000000000000000000000000000000000000
χ1064-44-4-444-44-200004-4244-22-22-42-4-4-2-2-22-22-222−2222−22220000000000000000−2222−22222−22−22−22−22−22−2−2222−22222−22−22−22−22−22−200000000000000000000000000000000000000
χ1074-44-4-444-4-240000-22-4-2-24-44-42-4224-2-22-22-22222−2222−220000000000000000−22−2222−2222−22−22−22−22−22−22−2222−2222−22−22−22−22−2200000000000000000000000000000000000000
χ1084-44-4-444-4-240000-22-4-2-24-44-42-4224-2-22-22-222−2222−222200000000000000002−22−2−2222−22222−22−22−22−22−22−2−2222−22222−22−22−22−200000000000000000000000000000000000000
χ1094-44-4-444-4-2-20000-222-2-2-22-222222-211-11-11-1-122−2222−220000003i−3i3i−3i−3i3i00−3i3i−22−22−22−22−2ζ5−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+ζ23−22−22−22−22−2ζ5−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+ζ2300000000000000000000000000000000000000
χ1104-44-4-444-4-2-20000-222-2-2-22-222222-211-11-11-1-122−2222−22000000−3i3i−3i3i3i−3i003i−3i−22−22−22−22ζ5+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−ζ13−2ζ23−22−22−22−22ζ5+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−ζ13−2ζ2300000000000000000000000000000000000000
χ1114-44-4-444-4-2-20000-222-2-2-22-222222-211-11-11-1-1−2222−22220000003i−3i3i−3i−3i3i00−3i3i2−22−22−22−22ζ5+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−ζ232−22−22−22−22ζ5+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−ζ2300000000000000000000000000000000000000
χ1124-44-4-444-4-2-20000-222-2-2-22-222222-211-11-11-1-1−2222−2222000000−3i3i−3i3i3i−3i003i−3i2−22−22−22−2−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+2ζ232−22−22−22−2−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+2ζ2300000000000000000000000000000000000000
χ1134-4-44-44-444-24-4-44-4-42-4422-2-24-2-442-22222-2-2-200004-2-442-2-2-222-2-2-42220000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-44-44-24-444-422-42-2-4-444-242-2-4-22222-2-2-200002-4-224-422-2-222-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-44-44-44-2-24-4-442222-222-2-2-2-22-221-1-1-1-11110000-2-22-22-211-1-11122-1-12323−23−230000−3−333−3−333−23−232323000033−3−333−3−300000000000000000000000000000000000000
χ1164-4-44-44-44-2-24-4-442222-222-2-2-2-22-221-1-1-1-11110000-2-22-22-211-1-11122-1-1−23−232323000033−3−333−3−32323−23−230000−3−333−3−33300000000000000000000000000000000000000
χ1174-4-44-44-44-2-2-444-42222-222-2-2-2-22-221-1-1-1-1111000022-22-22-1-111-1-1-2-2110000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i300002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i300000000000000000000000000000000000000
χ1184-4-44-44-44-2-2-444-42222-222-2-2-2-22-221-1-1-1-1111000022-22-22-1-111-1-1-2-21100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i300000000000000000000000000000000000000
χ1194-4-4-44-4444-200004-42-4-42-22-2-4244-2-2-222-22-2222−22−2222000000000000000022−2222−22−22−22−22−22−22−22−2222−22222−22−22−22−22−22−200000000000000000000000000000000000000
χ1204-4-4-44-4444-200004-42-4-42-22-2-4244-2-2-222-22-22−222222−220000000000000000−2222−22222−22−22−22−22−22−222−2222−22−22−22−22−22−22−2200000000000000000000000000000000000000
χ1214-4-4-44-444-240000-22-422-44-442-4-2-24-2-222-22-2222−22−22220000000000000000−22−2222−2222−22−22−22−22−222−22−2−2222−22222−22−22−22−200000000000000000000000000000000000000
χ1224-4-4-44-444-240000-22-422-44-442-4-2-24-2-222-22-22−222222−2200000000000000002−22−2−2222−22222−22−22−22−2−22−2222−2222−22−22−22−22−2200000000000000000000000000000000000000
χ1234-4-4-44-444-2-20000-222222-22-222-2-2-211-1-11-11-122−22−22220000003i−3i−3i3i3i−3i00−3i3i−22−22−22−22−2ζ5−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+ζ232−22−22−22−22ζ5+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−ζ2300000000000000000000000000000000000000
χ1244-4-4-44-444-2-20000-222222-22-222-2-2-211-1-11-11-122−22−2222000000−3i3i3i−3i−3i3i003i−3i−22−22−22−22ζ5+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−ζ13−2ζ232−22−22−22−2−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+2ζ2300000000000000000000000000000000000000
χ1254-4-4-44-444-2-20000-222222-22-222-2-2-211-1-11-11-1−222222−220000003i−3i−3i3i3i−3i00−3i3i2−22−22−22−22ζ5+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−ζ23−22−22−22−22−2ζ5−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+ζ2300000000000000000000000000000000000000
χ1264-4-4-44-444-2-20000-222222-22-222-2-2-211-1-11-11-1−222222−22000000−3i3i3i−3i−3i3i003i−3i2−22−22−22−2−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+2ζ23−22−22−22−22ζ5+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−ζ13−2ζ2300000000000000000000000000000000000000

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