Finite Group Databasebeta

← Group #13178691

Character table — Group #13178691

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order1222223336666666662333334666666666666666666666661212666666666666666666666612121212121212121212121244441212121224444444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111-111111-1111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ6111111111111111111-111111-1111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1
χ7111111111111111111-111111-1111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-11111-1-11111-1-1
χ8111111111111111111-111111-1111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1111111-1-1-1-1-1-111-1-111
χ91111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-11-111-11-1-1-111-1-111-1-1-1-1111-11-1
χ101111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-111-11-11-1-1-1-111-1-111-1-111-11-11
χ111111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-11-1-111111-1-1-1-11111-1-11-1-11
χ121111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-111-111-1-11111-1-111-1-1-111-1
χ131111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111-11-1-1-11-1111-1-111-1-111-1-1-1-11-11-1
χ141111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111-11-11-11-11-11111-1-111-1-1-1-1-1-1-11-11
χ151111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-11-1-111-111-1-1-1-1-11111-1-111111-1-11
χ161111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111-111-1-11-1-111-1-1-1-1111111-111-1
χ1722222222-1-1-1222222-122-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12000020000-1-100000000-1-1-1-10000
χ1822222222-1-1-1222222-122-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-20000-20000110000000011110000
χ1922222222-1-1-1222222-1-22-1-1-1-1-22222-1-11122-1-1-1-1-1-1-1-12-1-1-1-111-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2-2-2111111112222-1-1-1-1-20000-200001100000000-1-1110000
χ2022222222-1-1-1222222-1-22-1-1-1-1-22222-1-11122-1-1-1-1-1-1-1-12-1-1-1-111-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2-2-211111111-2-2-2-211112000020000-1-10000000011-1-10000
χ212222222-122222-1-12-122-12-1-1-1222-1-12222-1-122-1-1-1-1-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1000000000002200022000000-1-1-1-1000000-1-1
χ222222222-122222-1-12-122-12-1-1-1222-1-12222-1-122-1-1-1-1-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-100000000000-2-2000-2-2000000111100000011
χ232222222-122222-1-12-12-2-12-1-1-1-222-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-21-1-122-1-1-1-1-1-111-2-2111111-2111-2-21111110000000000022000-2-20000001111000000-1-1
χ242222222-122222-1-12-12-2-12-1-1-1-222-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-21-1-122-1-1-1-1-1-111-2-2111111-2111-2-211111100000000000-2-200022000000-1-1-1-100000011
χ25222222-12222-1-122-1222-1-12-1-12-1-1222222-1-1-1-122-1-1-1-1-1-12-1-122-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-100000000022000220000-1-1-1-100000000-1-100
χ26222222-12222-1-122-1222-1-12-1-12-1-1222222-1-1-1-122-1-1-1-1-1-12-1-122-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1000000000-2-2000-2-200001111000000001100
χ27222222-12222-1-122-122-2-1-12-1-1-2-1-12222-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-21-2-1-1-1-122-1-1-1-11111-2-211111-21111-2-2111100000000022000-2-20000111100000000-1-100
χ28222222-12222-1-122-122-2-1-12-1-1-2-1-12222-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-21-2-1-1-1-122-1-1-1-11111-2-211111-21111-2-21111000000000-2-2000220000-1-1-1-1000000001100
χ292222-2-222-1-1-1222222-122-1-1-1-1-2-2-2-2-211-1-122-1-1-1-1-1-1-1-12-1-1-1-11122-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-2-1-1-1-1-2000020000110000000011-1-10000
χ302222-2-222-1-1-1222222-122-1-1-1-1-2-2-2-2-211-1-122-1-1-1-1-1-1-1-12-1-1-1-11122-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-222111120000-20000-1-100000000-1-1110000
χ312222-2-222-1-1-1222222-1-22-1-1-1-12-2-2-2-2111122-1-1-1-1-1-1-1-12-1-1-1-1-1-1-2-2-2-211111111-2-2111111112222-1-1-1-1-1-1-1-122-2-2-1-1-1-120000-20000-1-10000000011110000
χ322222-2-222-1-1-1222222-1-22-1-1-1-12-2-2-2-2111122-1-1-1-1-1-1-1-12-1-1-1-1-1-1-2-2-2-211111111-2-2111111112222-1-1-1-1-1-1-1-1-2-2221111-20000200001100000000-1-1-1-10000
χ332222-2-22-122222-1-12-122-12-1-1-1-2-2-211-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-22-111-2-2111111-1-122-1-1-1-1-1-1-2111-2-2111111000000000002-20002-2000000-1-111000000-11
χ342222-2-22-122222-1-12-122-12-1-1-1-2-2-211-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-22-111-2-2111111-1-122-1-1-1-1-1-1-2111-2-211111100000000000-22000-2200000011-1-10000001-1
χ352222-2-22-122222-1-12-12-2-12-1-1-12-2-211-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2111-2-211111111-2-21111112-1-1-122-1-1-1-1-1-1000000000002-2000-2200000011-1-1000000-11
χ362222-2-22-122222-1-12-12-2-12-1-1-12-2-211-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2111-2-211111111-2-21111112-1-1-122-1-1-1-1-1-100000000000-220002-2000000-1-1110000001-1
χ372222-2-2-12222-1-122-1222-1-12-1-1-211-2-2-2-222-1-1-1-122-1-1-1-1-1-12-1-1-2-2-121111-2-21111-1-1-1-122-1-1-1-11-21111-2-211110000000002-20002-20000-1-11100000000-1100
χ382222-2-2-12222-1-122-1222-1-12-1-1-211-2-2-2-222-1-1-1-122-1-1-1-1-1-12-1-1-2-2-121111-2-21111-1-1-1-122-1-1-1-11-21111-2-21111000000000-22000-22000011-1-1000000001-100
χ392222-2-2-12222-1-122-122-2-1-12-1-1211-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1221-21111-2-211111111-2-21111-12-1-1-1-122-1-1-1-10000000002-2000-22000011-1-100000000-1100
χ402222-2-2-12222-1-122-122-2-1-12-1-1211-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1221-21111-2-211111111-2-21111-12-1-1-1-122-1-1-1-1000000000-220002-20000-1-111000000001-100
χ412-2-222-2222-2-2-2-2-2-222202222202-22-22-200-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-200000000000000000000002-22-222-2-2000000000000000000002-2000000
χ422-2-222-2222-2-2-2-2-2-222202222202-22-22-200-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-20000000000000000000000-22-22-2-22200000000000000000000-22000000
χ432-2-222-222-111-2-2-2-222-102-1-1-1-102-22-2-11−i3i3-2-2111111112-1-1-1-1−i3i3002-2-11-11-1-11100−i3i3−i3i3−i3−i3i3i30000−i3i3−i3i3−i3−i3i3i32-22-2-1-1110000000000−i3i300000000-11−i3i30000
χ442-2-222-222-111-2-2-2-222-102-1-1-1-102-22-2-11−i3i3-2-2111111112-1-1-1-1−i3i3002-2-11-11-1-11100−i3i3−i3i3−i3−i3i3i30000−i3i3−i3i3−i3−i3i3i3-22-2211-1-10000000000i3−i3000000001-1i3−i30000
χ452-2-222-222-111-2-2-2-222-102-1-1-1-102-22-2-11i3−i3-2-2111111112-1-1-1-1i3−i3002-2-11-11-1-11100i3−i3i3−i3i3i3−i3−i30000i3−i3i3−i3i3i3−i3−i32-22-2-1-1110000000000i3−i300000000-11i3−i30000
χ462-2-222-222-111-2-2-2-222-102-1-1-1-102-22-2-11i3−i3-2-2111111112-1-1-1-1i3−i3002-2-11-11-1-11100i3−i3i3−i3i3i3−i3−i30000i3−i3i3−i3i3i3−i3−i3-22-2211-1-10000000000−i3i3000000001-1−i3i30000
χ472-2-22-22222-2-2-2-2-2-22220222220-22-22-2200-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-22200000000000000000000002-2-2222-2-200000000000000000000-22000000
χ482-2-22-22222-2-2-2-2-2-22220222220-22-22-2200-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-2220000000000000000000000-222-2-2-222000000000000000000002-2000000
χ492-2-22-2222-111-2-2-2-222-102-1-1-1-10-22-221-1−i3i3-2-2111111112-1-1-1-1i3−i300-221-11-111-1-100−i3i3−i3i3−i3−i3i3i30000i3−i3i3−i3i3i3−i3−i32-2-22-1-1110000000000i3−i3000000001-1−i3i30000
χ502-2-22-2222-111-2-2-2-222-102-1-1-1-10-22-221-1−i3i3-2-2111111112-1-1-1-1i3−i300-221-11-111-1-100−i3i3−i3i3−i3−i3i3i30000i3−i3i3−i3i3i3−i3−i3-222-211-1-10000000000−i3i300000000-11i3−i30000
χ512-2-22-2222-111-2-2-2-222-102-1-1-1-10-22-221-1i3−i3-2-2111111112-1-1-1-1−i3i300-221-11-111-1-100i3−i3i3−i3i3i3−i3−i30000−i3i3−i3i3−i3−i3i3i32-2-22-1-1110000000000−i3i3000000001-1i3−i30000
χ522-2-22-2222-111-2-2-2-222-102-1-1-1-10-22-221-1i3−i3-2-2111111112-1-1-1-1−i3i300-221-11-111-1-100i3−i3i3−i3i3i3−i3−i30000−i3i3−i3i3−i3−i3i3i3-222-211-1-10000000000i3−i300000000-11−i3i30000
χ534444444-2-2-2-244-2-24-2-24-2-2111444-2-2-2-2-2-2-2-2-2-2111111-2-2111-2-24-2-2-2-2-2111111-2-2-2-21111114-2-2-2-2-2111111000000000000000000000000000000000000
χ544444444-2-2-2-244-2-24-2-2-4-2-2111-444-2-2-2-222-2-2-2-2111111-2-211122-42-2-2-2-21111112222-1-1-1-1-1-1-422222-1-1-1-1-1-1000000000000000000000000000000000000
χ55444444-24-2-2-2-2-244-24-24-21-2114-2-244-2-2-2-2-2-211-2-21111-21-211-2-2-24-2-211-2-21111-2-211-2-21111-24-2-211-2-21111000000000000000000000000000000000000
χ56444444-24-2-2-2-2-244-24-2-4-21-211-4-2-244-2-222-2-211-2-21111-21-211222-4-2-211-2-2111122-1-122-1-1-1-12-422-1-122-1-1-1-1000000000000000000000000000000000000
χ57444444-2-2444-2-2-2-2-2-2441-2-2114-2-2-2-2444411-2-2-2-211111-2-21144-2-211-2-2-2-2111111-2-2-2-21111-2-211-2-2-2-21111000000000000000000000000000000000000
χ58444444-2-2444-2-2-2-2-2-24-41-2-211-4-2-2-2-244-4-411-2-2-2-211111-2-211-4-42211-2-2-2-21111-1-12222-1-1-1-122-1-12222-1-1-1-1000000000000000000000000000000000000
χ59444444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i324-2-2-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ60444444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i324-2-2-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ61444444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-4-2-2-2-2-2-222111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i322222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000
χ62444444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32-4-2-2-2-2-2-222111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000
χ634444-4-44-2-2-2-244-2-24-2-24-2-2111-4-4-42222-2-2-2-2-2-2111111-2-2111224-22222-1-1-1-1-1-1-2-2-2-2111111-422222-1-1-1-1-1-1000000000000000000000000000000000000
χ644444-4-44-2-2-2-244-2-24-2-2-4-2-21114-4-4222222-2-2-2-2111111-2-2111-2-2-422222-1-1-1-1-1-12222-1-1-1-1-1-14-2-2-2-2-2111111000000000000000000000000000000000000
χ654444-4-4-24-2-2-2-2-244-24-24-21-211-422-4-422-2-2-2-211-2-21111-21-21122-2422-1-122-1-1-1-1-2-211-2-211112-422-1-122-1-1-1-1000000000000000000000000000000000000
χ664444-4-4-24-2-2-2-2-244-24-2-4-21-211422-4-42222-2-211-2-21111-21-211-2-22-422-1-122-1-1-1-122-1-122-1-1-1-1-24-2-211-2-21111000000000000000000000000000000000000
χ674444-4-4-2-2444-2-2-2-2-2-2441-2-211-42222-4-44411-2-2-2-211111-2-211-4-4-2-2-1-12222-1-1-1-111-2-2-2-2111122-1-12222-1-1-1-1000000000000000000000000000000000000
χ684444-4-4-2-2444-2-2-2-2-2-24-41-2-21142222-4-4-4-411-2-2-2-211111-2-2114422-1-12222-1-1-1-1-1-12222-1-1-1-1-2-211-2-2-2-21111000000000000000000000000000000000000
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χ894-4-444-44-2-222-4-4224-2-20-2-211104-4-22-222i3−2i32222-1-1-1-1-1-1-2-21112i3−2i300-22-221-111-1-1002i3−2i3−i3i3−i3−i3i3i300002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000
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χ914-4-444-4-24-22222-4-4-24-20-21-2110-224-4-22−2i32i322-1-122-1-1-1-1-21-211−2i32i300-221-1-2211-1-100i3−i3−2i32i3i3i3−i3−i30000i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ924-4-444-4-24-22222-4-4-24-20-21-2110-224-4-222i3−2i322-1-122-1-1-1-1-21-2112i3−2i300-221-1-2211-1-100−i3i32i3−2i3−i3−i3i3i30000−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000
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χ944-4-444-4-2-24-4-42222-2-2401-2-2110-22-224-400-1-12222-1-1-1-11-2-21100001-1-22-2211-1-1-330000-333-300-330000-333-3000000000000000000000000000000000000
χ954-4-444-4-2-2-2222222-2-2-20111−1−3i32−1+3i320-22-22-22−2i32i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32−2i32i3001-11-11-1−1−3i32−1+3i321+3i321−3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32003-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000
χ964-4-444-4-2-2-2222222-2-2-20111−1−3i32−1+3i320-22-22-222i3−2i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322i3−2i3001-11-11-1−1−3i32−1+3i321+3i321−3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i3200-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000
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χ1004-4-44-444-2-222-4-4224-2-20-2-21110-442-22-2−2i32i32222-1-1-1-1-1-1-2-21112i3−2i3002-22-2-11-1-11100−2i32i3i3−i3i3i3−i3−i300002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000
χ1014-4-44-444-2-222-4-4224-2-20-2-21110-442-22-22i3−2i32222-1-1-1-1-1-1-2-2111−2i32i3002-22-2-11-1-111002i3−2i3−i3i3−i3−i3i3i30000−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ1024-4-44-44-244-4-422-4-4-2440-2-24-2-202-2-44-44002222-4-42222-2-24-2-200002-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000
χ1034-4-44-44-24-22222-4-4-24-20-21-21102-2-442-2−2i32i322-1-122-1-1-1-1-21-2112i3−2i3002-2-112-2-1-11100i3−i3−2i32i3i3i3−i3−i30000−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ1044-4-44-44-24-22222-4-4-24-20-21-21102-2-442-22i3−2i322-1-122-1-1-1-1-21-211−2i32i3002-2-112-2-1-11100−i3i32i3−2i3−i3−i3i3i30000i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ1054-4-44-44-2-24-4-42222-2-2401-2-21102-22-2-4400-1-12222-1-1-1-11-2-2110000-112-22-2-1-1113-300003-3-3300-330000-333-3000000000000000000000000000000000000
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χ1074-4-44-44-2-2-2222222-2-2-20111−1−3i32−1+3i3202-22-22-2−2i32i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322i3−2i300-11-11-111+3i321−3i32−1−3i32−1+3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i3200-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000
χ1084-4-44-44-2-2-2222222-2-2-20111−1−3i32−1+3i3202-22-22-22i3−2i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32−2i32i300-11-11-111+3i321−3i32−1−3i32−1+3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32003-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000
χ1094-4-44-44-2-2-2222222-2-2-20111−1+3i32−1−3i3202-22-22-2−2i32i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322i3−2i300-11-11-111−3i321+3i32−1+3i32−1−3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32003-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000
χ1104-4-44-44-2-2-2222222-2-2-20111−1+3i32−1−3i3202-22-22-22i3−2i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32−2i32i300-11-11-111−3i321+3i32−1+3i32−1−3i323-3−i3i3−i3i3−3+i323+i323−i32−3−i3200-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000
χ11188-8-8008-4-4-448-8-44-8440-4-4222000000000-44-442-22-22-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-800-48-4-44-448-84-840-42-422000000000-442-2-442-22-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000
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χ11488-8-800-4-4-4-44-44-444440222−1−3i3−1+3i30000000002-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-800-4-4-4-44-44-444440222−1+3i3−1−3i30000000002-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8008-4-44-4-884-4-8440-4-42220000000004-44-4-22-22-2244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800-48-44-44-4-884-840-42-4220000000004-4-224-4-22-224-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-800-4-48-884-44-444-802-4-422000000000-224-44-4-22-22-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-800-4-4-44-44-44-44440222−1−3i3−1+3i3000000000-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-800-4-4-44-44-44-44440222−1+3i3−1−3i3000000000-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).