Finite Group Databasebeta

← Group #11923396

Character table — Group #11923396

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444444444666666668888888888881212121212121212121212121616161616161616161616161616161624242424242424243636363648484848
order122222366623346666666666121244444444336666666666224466121212121212666666666612121212121212121212121212122444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32
χ411111111111−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-11-111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321−i321+i321−i32
χ511111111111−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32
χ611111111111−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-11-111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321+i321−i321+i32
χ71111111111-111-111-1-1111111-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1
χ81111111111-111-111-1-1111111-1-1-1-1-1-11111111111111111-11-11-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111
χ91111111111-1−1−i32−1+i32-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111-1-11+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-111-11+i321−i321+i321−i32
χ101111111111-1−1−i32−1+i32-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-11-11-1-11111-1-11+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-1-11−1−i32−1+i32−1−i32−1+i32
χ111111111111-1−1+i32−1−i32-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-11111-1-11−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-111-11−i321+i321−i321+i32
χ121111111111-1−1+i32−1−i32-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11-11-1-11111-1-11−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-1-11−1+i32−1−i32−1+i32−1−i32
χ131111-1-11111111-1-1-111111111-1-111-1-111-1-111-1-1-1-1111111-111-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-11-1111-1-1
χ141111-1-11111111-1-1-111111111-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1111-11-1-1-111
χ151111-1-111111−1−i32−1+i32-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-111-1-1-111-1-111−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-11−1−i32−1+i321+i321−i32
χ161111-1-111111−1−i32−1+i32-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-111-1-111−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-11+i321−i32−1−i32−1+i32
χ171111-1-111111−1+i32−1−i32-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-111-1-1-111-1-111−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-11−1+i32−1−i321−i321+i32
χ181111-1-111111−1+i32−1−i32-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-111-1-111−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-11−i321+i32−1+i32−1−i32
χ191111-1-11111-1111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111
χ201111-1-11111-1111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1
χ211111-1-11111-1−1−i32−1+i321-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-1-111111-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-11+i321−i32−1−i32−1+i32
χ221111-1-11111-1−1−i32−1+i321-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-11111-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111−1−i32−1+i321+i321−i32
χ231111-1-11111-1−1+i32−1−i321-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-1-111111-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-11−i321+i32−1+i32−1−i32
χ241111-1-11111-1−1+i32−1−i321-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-11111-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111−1+i32−1−i321−i321+i32
χ25222222-1-1-1-12222-1-1-1-1222222-1-100002222-1-12222-1-1-1-1-1-12020-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ26222222-1-1-1-12−1−i3−1+i32-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1000022221+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321−i321−i321+i321−i322020-1-1-1-1-1-1-1-1−1−i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i31+i321+i321−i321−i320000000000000000
χ27222222-1-1-1-12−1+i3−1−i32-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1000022221−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321+i321+i321−i321+i322020-1-1-1-1-1-1-1-1−1+i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i31−i321−i321+i321+i320000000000000000
χ28222222-1-1-1-1-222-2-1-1112222221100002222-1-12222-1-1-1-1-1-1-20-2011-1-1-1-111-2-2-1-111-1-111-2-211110000000000000000
χ29222222-1-1-1-1-2−1−i3−1+i3-2-1-111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i311000022221+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321−i321−i321+i321−i32-20-2011-1-1-1-1111+i31−i31+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i31−i3−1−i32−1−i32−1+i32−1+i320000000000000000
χ30222222-1-1-1-1-2−1+i3−1−i3-2-1-111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i311000022221−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321+i321+i321−i321+i32-20-2011-1-1-1-1111−i31+i31−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i31+i3−1+i32−1+i32−1−i32−1−i320000000000000000
χ312222-2-2-1-1-1-1222-211-1-122222211000022-2-2-1-1-2-2-2-2-1-1-1-1-1-1-202011-1-111-1-12211-1-111-1-1-2-211110000000000000000
χ322222-2-2-1-1-1-12−1−i3−1+i3-211-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i311000022-2-21+i321−i321+i31+i31−i31−i31+i321+i321−i321−i321+i321−i32-202011-1-111-1-1−1−i3−1+i3−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i320000000000000000
χ332222-2-2-1-1-1-12−1+i3−1−i3-211-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i311000022-2-21−i321+i321−i31−i31+i31+i31−i321−i321+i321+i321−i321+i32-202011-1-111-1-1−1+i3−1−i3−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i320000000000000000
χ342222-2-2-1-1-1-1-22221111222222-1-1000022-2-2-1-1-2-2-2-2-1-1-1-1-1-120-20-1-1-1-11111-2-21111111122-1-1-1-10000000000000000
χ352222-2-2-1-1-1-1-2−1−i3−1+i321111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1000022-2-21+i321−i321+i31+i31−i31−i31+i321+i321−i321−i321+i321−i3220-20-1-1-1-111111+i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i31+i321+i321−i321−i320000000000000000
χ362222-2-2-1-1-1-1-2−1+i3−1−i321111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1000022-2-21−i321+i321−i31−i31+i31+i31−i321−i321+i321+i321−i321+i3220-20-1-1-1-111111−i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i31−i321−i321+i321+i320000000000000000
χ372-2-222-22-2-2202202-200-2-222-2-20000002-22-2222-22-2-2-2-2-2220000002-22-200002-2002-2000000000000000000000000
χ382-2-222-22-2-220−1−i3−1+i302-2001+i31−i3−1−i3−1+i31+i31−i30000002-22-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31+i31−i31−i3−1−i3−1+i30000002-22-20000−1−i31+i300−1+i31−i3000000000000000000000000
χ392-2-222-22-2-220−1+i3−1−i302-2001−i31+i3−1+i3−1−i31−i31+i30000002-22-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31−i31+i31+i3−1+i3−1−i30000002-22-20000−1+i31−i300−1−i31+i3000000000000000000000000
χ402-2-222-2-111-10220-11−i3i3-2-222-2-2−i3i300002-22-2-1-12-22-21111-1-10000−i3i3-11-11−i3i300-11−i3i3-11−i3i300−i3i3−i3i30000000000000000
χ412-2-222-2-111-10220-11i3−i3-2-222-2-2i3−i300002-22-2-1-12-22-21111-1-10000i3−i3-11-11i3−i300-11i3−i3-11i3−i300i3−i3i3−i30000000000000000
χ422-2-222-2-111-10−1−i3−1+i30-11−i3i31+i31−i3−1−i3−1+i31+i31−i3−i3i300002-22-21+i321−i32−1−i31+i3−1+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i320000−i3i3-11-11−i3i3001+i32−1−i32−3+i323−i321−i32−1+i323+i32−3−i3200−3+i323−i323+i32−3−i320000000000000000
χ432-2-222-2-111-10−1−i3−1+i30-11i3−i31+i31−i3−1−i3−1+i31+i31−i3i3−i300002-22-21+i321−i32−1−i31+i3−1+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i320000i3−i3-11-11i3−i3001+i32−1−i323−i32−3+i321−i32−1+i32−3−i323+i32003−i32−3+i32−3−i323+i320000000000000000
χ442-2-222-2-111-10−1+i3−1−i30-11−i3i31−i31+i3−1+i3−1−i31−i31+i3−i3i300002-22-21−i321+i32−1+i31−i3−1−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i320000−i3i3-11-11−i3i3001−i32−1+i323+i32−3−i321+i32−1−i32−3+i323−i32003+i32−3−i32−3+i323−i320000000000000000
χ452-2-222-2-111-10−1+i3−1−i30-11i3−i31−i31+i3−1+i3−1−i31−i31+i3i3−i300002-22-21−i321+i32−1+i31−i3−1−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i320000i3−i3-11-11i3−i3001−i32−1+i32−3−i323+i321+i32−1−i323−i32−3+i3200−3−i323+i323−i32−3+i320000000000000000
χ462-2-22-222-2-220220-2200-2-222-2-20000002-2-2222-22-22-2-2-2-2220000002-2-220000-2200-22000000000000000000000000
χ472-2-22-222-2-220−1−i3−1+i30-22001+i31−i3−1−i3−1+i31+i31−i30000002-2-22−1−i3−1+i31+i3−1−i31−i3−1+i31+i31+i31−i31−i3−1−i3−1+i30000002-2-2200001+i3−1−i3001−i3−1+i3000000000000000000000000
χ482-2-22-222-2-220−1+i3−1−i30-22001−i31+i3−1+i3−1−i31−i31+i30000002-2-22−1+i3−1−i31−i3−1+i31+i3−1−i31−i31−i31+i31+i3−1+i3−1−i30000002-2-2200001−i3−1+i3001+i3−1−i3000000000000000000000000
χ492-2-22-22-111-102201-1−i3i3-2-222-2-2i3−i300002-2-22-1-1-22-221111-1-10000i3−i3-111-1−i3i3001-1−i3i31-1−i3i300i3−i3i3−i30000000000000000
χ502-2-22-22-111-102201-1i3−i3-2-222-2-2−i3i300002-2-22-1-1-22-221111-1-10000−i3i3-111-1i3−i3001-1i3−i31-1i3−i300−i3i3−i3i30000000000000000
χ512-2-22-22-111-10−1−i3−1+i301-1−i3i31+i31−i3−1−i3−1+i31+i31−i3i3−i300002-2-221+i321−i321+i3−1−i31−i3−1+i3−1−i32−1−i32−1+i32−1+i321+i321−i320000i3−i3-111-1−i3i300−1−i321+i32−3+i323−i32−1+i321−i323+i32−3−i32003−i32−3+i32−3−i323+i320000000000000000
χ522-2-22-22-111-10−1−i3−1+i301-1i3−i31+i31−i3−1−i3−1+i31+i31−i3−i3i300002-2-221+i321−i321+i3−1−i31−i3−1+i3−1−i32−1−i32−1+i32−1+i321+i321−i320000−i3i3-111-1i3−i300−1−i321+i323−i32−3+i32−1+i321−i32−3−i323+i3200−3+i323−i323+i32−3−i320000000000000000
χ532-2-22-22-111-10−1+i3−1−i301-1−i3i31−i31+i3−1+i3−1−i31−i31+i3i3−i300002-2-221−i321+i321−i3−1+i31+i3−1−i3−1+i32−1+i32−1−i32−1−i321−i321+i320000i3−i3-111-1−i3i300−1+i321−i323+i32−3−i32−1−i321+i32−3+i323−i3200−3−i323+i323−i32−3+i320000000000000000
χ542-2-22-22-111-10−1+i3−1−i301-1i3−i31−i31+i3−1+i3−1−i31−i31+i3−i3i300002-2-221−i321+i321−i3−1+i31+i3−1−i3−1+i32−1+i32−1−i32−1−i321−i321+i320000−i3i3-111-1i3−i300−1+i321−i32−3−i323+i32−1−i321+i323−i32−3+i32003+i32−3−i32−3+i323−i320000000000000000
χ55333333333330033333000000333333-1-1-1-1000000000000-13-13-1-1-1-1-1-1-1-1000000000000000000000000-1-1-1-10000
χ5633333333333003333300000033-3-3-3-3-1-1-1-1000000000000-1-3-1-3-1-1-1-1-1-1-1-100000000000000000000000011110000
χ573333333333-300-333-3-3000000-3-33333-1-1-1-10000000000001-31-311-1-1-1-1110000000000000000000000001-1-110000
χ583333333333-300-333-3-3000000-3-3-3-3-3-3-1-1-1-1000000000000131311-1-1-1-111000000000000000000000000-111-10000
χ593333-3-33333300-3-3-333000000-3-333-3-3-1-11100000000000013-1-311-1-111-1-10000000000000000000000001-11-10000
χ603333-3-33333300-3-3-333000000-3-3-3-333-1-1110000000000001-3-1311-1-111-1-1000000000000000000000000-11-110000
χ613333-3-33333-3003-3-3-3-30000003333-3-3-1-111000000000000-1-313-1-1-1-11111000000000000000000000000-1-1110000
χ623333-3-33333-3003-3-3-3-300000033-3-333-1-111000000000000-131-3-1-1-1-1111100000000000000000000000011-1-10000
χ6344-4-40044-4-40-2-2000002222-2-2004-4000000-2-200002-22-22200000000000000000000000000002-2002-20000000000
χ6444-4-40044-4-40-2-2000002222-2-200-44000000-2-200002-22-2220000000000000000000000000000-2200-220000000000
χ6544-4-40044-4-401+i31−i300000−1−i3−1+i3−1−i3−1+i31+i31−i3004-40000001+i31−i30000−1−i31+i3−1+i31−i3−1−i3−1+i30000000000000000000000000000−1−i31+i300−1+i31−i30000000000
χ6644-4-40044-4-401+i31−i300000−1−i3−1+i3−1−i3−1+i31+i31−i300-440000001+i31−i30000−1−i31+i3−1+i31−i3−1−i3−1+i300000000000000000000000000001+i3−1−i3001−i3−1+i30000000000
χ6744-4-40044-4-401−i31+i300000−1+i3−1−i3−1+i3−1−i31−i31+i3004-40000001−i31+i30000−1+i31−i3−1−i31+i3−1+i3−1−i30000000000000000000000000000−1+i31−i300−1−i31+i30000000000
χ6844-4-40044-4-401−i31+i300000−1+i3−1−i3−1+i3−1−i31−i31+i300-440000001−i31+i30000−1+i31−i3−1−i31+i3−1+i3−1−i300000000000000000000000000001−i3−1+i3001+i3−1−i30000000000
χ694-44-4004-44-40-2-200000-2-2222200004i−4i0000-2-20000-22-22220000000000000000000000000000002i−2i002i−2i00000000
χ704-44-4004-44-40-2-200000-2-222220000−4i4i0000-2-20000-22-2222000000000000000000000000000000−2i2i00−2i2i00000000
χ714-44-4004-44-401+i31−i3000001+i31−i3−1−i3−1+i3−1−i3−1+i300004i−4i00001+i31−i300001+i3−1−i31−i3−1+i3−1−i3−1+i30000000000000000000000000000002ζ11−2ζ11002ζ7−2ζ700000000
χ724-44-4004-44-401+i31−i3000001+i31−i3−1−i3−1+i3−1−i3−1+i30000−4i4i00001+i31−i300001+i3−1−i31−i3−1+i3−1−i3−1+i3000000000000000000000000000000−2ζ112ζ1100−2ζ72ζ700000000
χ734-44-4004-44-401−i31+i3000001−i31+i3−1+i3−1−i3−1+i3−1−i300004i−4i00001−i31+i300001−i3−1+i31+i3−1−i3−1+i3−1−i30000000000000000000000000000002ζ7−2ζ7002ζ11−2ζ1100000000
χ744-44-4004-44-401−i31+i3000001−i31+i3−1+i3−1−i3−1+i3−1−i30000−4i4i00001−i31+i300001−i3−1+i31+i3−1−i3−1+i3−1−i3000000000000000000000000000000−2ζ72ζ700−2ζ112ζ1100000000
χ75666666-3-3-3-36006-3-3-3-3000000-3-30000-2-2-2-2000000000000-20-201111111100000000000000000000000000000000
χ76666666-3-3-3-3-600-6-3-333000000330000-2-2-2-20000000000002020-1-11111-1-100000000000000000000000000000000
χ776666-6-6-3-3-3-3600-633-3-3000000330000-2-22200000000000020-20-1-111-1-11100000000000000000000000000000000
χ786666-6-6-3-3-3-3-60063333000000-3-30000-2-222000000000000-20201111-1-1-1-100000000000000000000000000000000
χ796-6-666-66-6-6600006-600000000000000-22-22000000000000000000-22-220000000000000000000000000000000000
χ806-6-666-6-333-30000-33−3i33i3000000−3i33i30000-22-220000000000000000i3−i31-11-1i3−i300000000000000000000000000000000
χ816-6-666-6-333-30000-333i3−3i30000003i3−3i30000-22-220000000000000000−i3i31-11-1−i3i300000000000000000000000000000000
χ826-6-66-666-6-660000-6600000000000000-222-2000000000000000000-222-20000000000000000000000000000000000
χ836-6-66-66-333-300003-3−3i33i30000003i3−3i30000-222-20000000000000000−i3i31-1-11i3−i300000000000000000000000000000000
χ846-6-66-66-333-300003-33i3−3i3000000−3i33i30000-222-20000000000000000i3−i31-1-11−i3i300000000000000000000000000000000
χ8588-8-800-4-4440-4-4000004444-4-40000000000220000-22-22-2-200000000000000000000000000000000000000000000
χ8688-8-800-4-44402+2i32−2i300000−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i30000000000−1−i3−1+i300001+i3−1−i31−i3−1+i31+i31−i300000000000000000000000000000000000000000000
χ8788-8-800-4-44402−2i32+2i300000−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i30000000000−1+i3−1−i300001−i3−1+i31+i3−1−i31−i31+i300000000000000000000000000000000000000000000
χ888-88-800-44-440-4-400000-4-4444400000000002200002-22-2-2-200000000000000000000000000000000000000000000
χ898-88-800-44-4402+2i32−2i3000002+2i32−2i3−2−2i3−2+2i3−2−2i3−2+2i30000000000−1−i3−1+i30000−1−i31+i3−1+i31−i31+i31−i300000000000000000000000000000000000000000000
χ908-88-800-44-4402−2i32+2i3000002−2i32+2i3−2+2i3−2−2i3−2+2i3−2−2i30000000000−1+i3−1−i30000−1+i31−i3−1−i31+i31−i31+i300000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.