Finite Group Databasebeta

← Group #11923747

Character table — Group #11923747

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size113366121212121224243232113366121212121224243232113366121212121224243232113366121212121224243232113366121212121224243232113366121212121224243232
order122244488884436366612121224242424121236366612121224242424121236222244488884466666612121224242424121266666612121224242424121266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-111
χ32222222000000-1-12222222000000-1-12222222000000-1-12222222000000-1-12222222000000-1-12222222000000-1-1
χ42-22-200022−2−200-112-22-200022−2−200-112-22-200022−2−200-112-22-200022−2−200-112-22-200022−2−200-112-22-200022−2−200-11
χ52-22-2000−2−22200-112-22-2000−2−22200-112-22-2000−2−22200-112-22-2000−2−22200-112-22-2000−2−22200-112-22-2000−2−22200-11
χ63333-1-1-11111-1-1003333-1-1-11111-1-1003333-1-1-11111-1-1003333-1-1-11111-1-1003333-1-1-11111-1-1003333-1-1-11111-1-100
χ73333-1-1-1-1-1-1-111003333-1-1-1-1-1-1-111003333-1-1-1-1-1-1-111003333-1-1-1-1-1-1-111003333-1-1-1-1-1-1-111003333-1-1-1-1-1-1-11100
χ833-1-13-1-11-11-11-10033-1-13-1-11-11-11-10033-1-13-1-11-11-11-10033-1-13-1-11-11-11-10033-1-13-1-11-11-11-10033-1-13-1-11-11-11-100
χ933-1-13-1-1-11-11-110033-1-13-1-1-11-11-110033-1-13-1-1-11-11-110033-1-13-1-1-11-11-110033-1-13-1-1-11-11-110033-1-13-1-1-11-11-1100
χ1033-1-1-13-11-11-1-110033-1-1-13-11-11-1-110033-1-1-13-11-11-1-110033-1-1-13-11-11-1-110033-1-1-13-11-11-1-110033-1-1-13-11-11-1-1100
χ1133-1-1-13-1-11-111-10033-1-1-13-1-11-111-10033-1-1-13-1-11-111-10033-1-1-13-1-11-111-10033-1-1-13-1-11-111-10033-1-1-13-1-11-111-100
χ124-44-40000000001-14-44-40000000001-14-44-40000000001-14-44-40000000001-14-44-40000000001-14-44-40000000001-1
χ1366-2-2-2-220000000066-2-2-2-220000000066-2-2-2-220000000066-2-2-2-220000000066-2-2-2-220000000066-2-2-2-2200000000
χ146-6-220002−2−2200006-6-220002−2−2200006-6-220002−2−2200006-6-220002−2−2200006-6-220002−2−2200006-6-220002−2−220000
χ156-6-22000−222−200006-6-22000−222−200006-6-22000−222−200006-6-22000−222−200006-6-22000−222−200006-6-22000−222−20000
χ16111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ171111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ182222222000000-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i321+i322222222000000-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i321+i32
χ192-22-200022−2−200-11−1+i31−i3−1+i31−i3000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23001−i32−1+i32−1−i31+i3−1−i31+i3000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13001+i32−1−i322-22-200022−2−200-11−1+i31−i3−1+i31−i3000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23001−i32−1+i32−1−i31+i3−1−i31+i3000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13001+i32−1−i32
χ202-22-2000−2−22200-11−1+i31−i3−1+i31−i3000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23001−i32−1+i32−1−i31+i3−1−i31+i3000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13001+i32−1−i322-22-2000−2−22200-11−1+i31−i3−1+i31−i3000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23001−i32−1+i32−1−i31+i3−1−i31+i3000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13001+i32−1−i32
χ213333-1-1-11111-1-100−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32003333-1-1-11111-1-100−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200
χ223333-1-1-1-1-1-1-11100−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32003333-1-1-1-1-1-1-11100−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3200
χ2333-1-13-1-11-11-11-100−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i3200−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i320033-1-13-1-11-11-11-100−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i3200−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i3200
χ2433-1-13-1-1-11-11-1100−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i3200−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i320033-1-13-1-1-11-11-1100−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i3200−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i3200
χ2533-1-1-13-11-11-1-1100−3+3i32−3+3i321−i321−i321−i32−3+3i321−i32−1+i321−i32−1+i321−i321−i32−1+i3200−3−3i32−3−3i321+i321+i321+i32−3−3i321+i32−1−i321+i32−1−i321+i321+i32−1−i320033-1-1-13-11-11-1-1100−3+3i32−3+3i321−i321−i321−i32−3+3i321−i32−1+i321−i32−1+i321−i321−i32−1+i3200−3−3i32−3−3i321+i321+i321+i32−3−3i321+i32−1−i321+i32−1−i321+i321+i32−1−i3200
χ2633-1-1-13-1-11-111-100−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i32−1−i321+i320033-1-1-13-1-11-111-100−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200
χ274-44-40000000001-1−2+2i32−2i3−2+2i32−2i3000000000−1+i321−i32−2−2i32+2i3−2−2i32+2i3000000000−1−i321+i324-44-40000000001-1−2+2i32−2i3−2+2i32−2i3000000000−1+i321−i32−2−2i32+2i3−2−2i32+2i3000000000−1−i321+i32
χ2866-2-2-2-2200000000−3+3i3−3+3i31−i31−i31−i31−i3−1+i300000000−3−3i3−3−3i31+i31+i31+i31+i3−1−i30000000066-2-2-2-2200000000−3+3i3−3+3i31−i31−i31−i31−i3−1+i300000000−3−3i3−3−3i31+i31+i31+i31+i3−1−i300000000
χ296-6-220002−2−220000−3+3i33−3i31−i3−1+i3000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000−3−3i33+3i31+i3−1−i3000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300006-6-220002−2−220000−3+3i33−3i31−i3−1+i3000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000−3−3i33+3i31+i3−1−i3000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000
χ306-6-22000−222−20000−3+3i33−3i31−i3−1+i3000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000−3−3i33+3i31+i3−1−i3000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300006-6-22000−222−20000−3+3i33−3i31−i3−1+i3000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000−3−3i33+3i31+i3−1−i3000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000
χ31111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ321111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ332222222000000-1-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i321−i322222222000000-1-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i321−i32
χ342-22-200022−2−200-11−1−i31+i3−1−i31+i3000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13001+i32−1−i32−1+i31−i3−1+i31−i3000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23001−i32−1+i322-22-200022−2−200-11−1−i31+i3−1−i31+i3000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13001+i32−1−i32−1+i31−i3−1+i31−i3000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23001−i32−1+i32
χ352-22-2000−2−22200-11−1−i31+i3−1−i31+i3000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13001+i32−1−i32−1+i31−i3−1+i31−i3000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23001−i32−1+i322-22-2000−2−22200-11−1−i31+i3−1−i31+i3000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13001+i32−1−i32−1+i31−i3−1+i31−i3000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23001−i32−1+i32
χ363333-1-1-11111-1-100−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32003333-1-1-11111-1-100−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200
χ373333-1-1-1-1-1-1-11100−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32003333-1-1-1-1-1-1-11100−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i3200
χ3833-1-13-1-11-11-11-100−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i3200−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i320033-1-13-1-11-11-11-100−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i3200−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i3200
χ3933-1-13-1-1-11-11-1100−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i3200−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i320033-1-13-1-1-11-11-1100−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i3200−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i3200
χ4033-1-1-13-11-11-1-1100−3−3i32−3−3i321+i321+i321+i32−3−3i321+i32−1−i321+i32−1−i321+i321+i32−1−i3200−3+3i32−3+3i321−i321−i321−i32−3+3i321−i32−1+i321−i32−1+i321−i321−i32−1+i320033-1-1-13-11-11-1-1100−3−3i32−3−3i321+i321+i321+i32−3−3i321+i32−1−i321+i32−1−i321+i321+i32−1−i3200−3+3i32−3+3i321−i321−i321−i32−3+3i321−i32−1+i321−i32−1+i321−i321−i32−1+i3200
χ4133-1-1-13-1-11-111-100−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i32−1+i321−i320033-1-1-13-1-11-111-100−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200
χ424-44-40000000001-1−2−2i32+2i3−2−2i32+2i3000000000−1−i321+i32−2+2i32−2i3−2+2i32−2i3000000000−1+i321−i324-44-40000000001-1−2−2i32+2i3−2−2i32+2i3000000000−1−i321+i32−2+2i32−2i3−2+2i32−2i3000000000−1+i321−i32
χ4366-2-2-2-2200000000−3−3i3−3−3i31+i31+i31+i31+i3−1−i300000000−3+3i3−3+3i31−i31−i31−i31−i3−1+i30000000066-2-2-2-2200000000−3−3i3−3−3i31+i31+i31+i31+i3−1−i300000000−3+3i3−3+3i31−i31−i31−i31−i3−1+i300000000
χ446-6-220002−2−220000−3−3i33+3i31+i3−1−i3000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000−3+3i33−3i31−i3−1+i3000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300006-6-220002−2−220000−3−3i33+3i31+i3−1−i3000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000−3+3i33−3i31−i3−1+i3000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000
χ456-6-22000−222−20000−3−3i33+3i31+i3−1−i3000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000−3+3i33−3i31−i3−1+i3000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300006-6-22000−222−20000−3−3i33+3i31+i3−1−i3000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000−3+3i33−3i31−i3−1+i3000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ471111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1
χ482222222000000-1-12222222000000-1-12222222000000-1-1-2-2-2-2-2-2-200000011-2-2-2-2-2-2-200000011-2-2-2-2-2-2-200000011
χ492-22-200022−2−200-112-22-200022−2−200-112-22-200022−2−200-11-22-22000−2−222001-1-22-22000−2−222001-1-22-22000−2−222001-1
χ502-22-2000−2−22200-112-22-2000−2−22200-112-22-2000−2−22200-11-22-2200022−2−2001-1-22-2200022−2−2001-1-22-2200022−2−2001-1
χ513333-1-1-11111-1-1003333-1-1-11111-1-1003333-1-1-11111-1-100-3-3-3-3111-1-1-1-11100-3-3-3-3111-1-1-1-11100-3-3-3-3111-1-1-1-11100
χ523333-1-1-1-1-1-1-111003333-1-1-1-1-1-1-111003333-1-1-1-1-1-1-11100-3-3-3-31111111-1-100-3-3-3-31111111-1-100-3-3-3-31111111-1-100
χ5333-1-13-1-11-11-11-10033-1-13-1-11-11-11-10033-1-13-1-11-11-11-100-3-311-311-11-11-1100-3-311-311-11-11-1100-3-311-311-11-11-1100
χ5433-1-13-1-1-11-11-110033-1-13-1-1-11-11-110033-1-13-1-1-11-11-1100-3-311-3111-11-11-100-3-311-3111-11-11-100-3-311-3111-11-11-100
χ5533-1-1-13-11-11-1-110033-1-1-13-11-11-1-110033-1-1-13-11-11-1-1100-3-3111-31-11-111-100-3-3111-31-11-111-100-3-3111-31-11-111-100
χ5633-1-1-13-1-11-111-10033-1-1-13-1-11-111-10033-1-1-13-1-11-111-100-3-3111-311-11-1-1100-3-3111-311-11-1-1100-3-3111-311-11-1-1100
χ574-44-40000000001-14-44-40000000001-14-44-40000000001-1-44-44000000000-11-44-44000000000-11-44-44000000000-11
χ5866-2-2-2-220000000066-2-2-2-220000000066-2-2-2-2200000000-6-62222-200000000-6-62222-200000000-6-62222-200000000
χ596-6-220002−2−2200006-6-220002−2−2200006-6-220002−2−220000-662-2000−222−20000-662-2000−222−20000-662-2000−222−20000
χ606-6-22000−222−200006-6-22000−222−200006-6-22000−222−20000-662-20002−2−220000-662-20002−2−220000-662-20002−2−220000
χ61111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ621111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32-1-1-1-1-1-1-1111111-1-11−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ632222222000000-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i321+i32-2-2-2-2-2-2-2000000111−i31−i31−i31−i31−i31−i31−i3000000−1+i32−1+i321+i31+i31+i31+i31+i31+i31+i3000000−1−i32−1−i32
χ642-22-200022−2−200-11−1+i31−i3−1+i31−i3000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23001−i32−1+i32−1−i31+i3−1−i31+i3000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13001+i32−1−i32-22-22000−2−222001-11−i3−1+i31−i3−1+i3000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300−1+i321−i321+i3−1−i31+i3−1−i3000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300−1−i321+i32
χ652-22-2000−2−22200-11−1+i31−i3−1+i31−i3000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23001−i32−1+i32−1−i31+i3−1−i31+i3000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13001+i32−1−i32-22-2200022−2−2001-11−i3−1+i31−i3−1+i3000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300−1+i321−i321+i3−1−i31+i3−1−i3000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300−1−i321+i32
χ663333-1-1-11111-1-100−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200-3-3-3-3111-1-1-1-111003−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32003+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3200
χ673333-1-1-1-1-1-1-11100−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3200-3-3-3-31111111-1-1003−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32003+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200
χ6833-1-13-1-11-11-11-100−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i3200−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i3200-3-311-311-11-11-11003−3i323−3i32−1+i32−1+i323−3i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32003+3i323+3i32−1−i32−1−i323+3i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200
χ6933-1-13-1-1-11-11-1100−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i3200−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i3200-3-311-3111-11-11-1003−3i323−3i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32003+3i323+3i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i3200
χ7033-1-1-13-11-11-1-1100−3+3i32−3+3i321−i321−i321−i32−3+3i321−i32−1+i321−i32−1+i321−i321−i32−1+i3200−3−3i32−3−3i321+i321+i321+i32−3−3i321+i32−1−i321+i32−1−i321+i321+i32−1−i3200-3-3111-31-11-111-1003−3i323−3i32−1+i32−1+i32−1+i323−3i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32003+3i323+3i32−1−i32−1−i32−1−i323+3i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i3200
χ7133-1-1-13-1-11-111-100−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200-3-3111-311-11-1-11003−3i323−3i32−1+i32−1+i32−1+i323−3i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32003+3i323+3i32−1−i32−1−i32−1−i323+3i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i3200
χ724-44-40000000001-1−2+2i32−2i3−2+2i32−2i3000000000−1+i321−i32−2−2i32+2i3−2−2i32+2i3000000000−1−i321+i32-44-44000000000-112−2i3−2+2i32−2i3−2+2i30000000001−i32−1+i322+2i3−2−2i32+2i3−2−2i30000000001+i32−1−i32
χ7366-2-2-2-2200000000−3+3i3−3+3i31−i31−i31−i31−i3−1+i300000000−3−3i3−3−3i31+i31+i31+i31+i3−1−i300000000-6-62222-2000000003−3i33−3i3−1+i3−1+i3−1+i3−1+i31−i3000000003+3i33+3i3−1−i3−1−i3−1−i3−1−i31+i300000000
χ746-6-220002−2−220000−3+3i33−3i31−i3−1+i3000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000−3−3i33+3i31+i3−1−i3000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000-662-2000−222−200003−3i3−3+3i3−1+i31−i3000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300003+3i3−3−3i3−1−i31+i3000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000
χ756-6-22000−222−20000−3+3i33−3i31−i3−1+i3000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000−3−3i33+3i31+i3−1−i3000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000-662-20002−2−2200003−3i3−3+3i3−1+i31−i3000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300003+3i3−3−3i3−1−i31+i3000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000
χ76111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ771111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32-1-1-1-1-1-1-1111111-1-11+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ782222222000000-1-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i321−i32-2-2-2-2-2-2-2000000111+i31+i31+i31+i31+i31+i31+i3000000−1−i32−1−i321−i31−i31−i31−i31−i31−i31−i3000000−1+i32−1+i32
χ792-22-200022−2−200-11−1−i31+i3−1−i31+i3000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13001+i32−1−i32−1+i31−i3−1+i31−i3000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23001−i32−1+i32-22-22000−2−222001-11+i3−1−i31+i3−1−i3000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300−1−i321+i321−i3−1+i31−i3−1+i3000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300−1+i321−i32
χ802-22-2000−2−22200-11−1−i31+i3−1−i31+i3000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13001+i32−1−i32−1+i31−i3−1+i31−i3000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23001−i32−1+i32-22-2200022−2−2001-11+i3−1−i31+i3−1−i3000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300−1−i321+i321−i3−1+i31−i3−1+i3000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300−1+i321−i32
χ813333-1-1-11111-1-100−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200-3-3-3-3111-1-1-1-111003+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32003−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i3200
χ823333-1-1-1-1-1-1-11100−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i3200-3-3-3-31111111-1-1003+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32003−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200
χ8333-1-13-1-11-11-11-100−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i3200−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i3200-3-311-311-11-11-11003+3i323+3i32−1−i32−1−i323+3i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32003−3i323−3i32−1+i32−1+i323−3i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200
χ8433-1-13-1-1-11-11-1100−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i3200−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i3200-3-311-3111-11-11-1003+3i323+3i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32003−3i323−3i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i3200
χ8533-1-1-13-11-11-1-1100−3−3i32−3−3i321+i321+i321+i32−3−3i321+i32−1−i321+i32−1−i321+i321+i32−1−i3200−3+3i32−3+3i321−i321−i321−i32−3+3i321−i32−1+i321−i32−1+i321−i321−i32−1+i3200-3-3111-31-11-111-1003+3i323+3i32−1−i32−1−i32−1−i323+3i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32003−3i323−3i32−1+i32−1+i32−1+i323−3i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i3200
χ8633-1-1-13-1-11-111-100−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200-3-3111-311-11-1-11003+3i323+3i32−1−i32−1−i32−1−i323+3i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32003−3i323−3i32−1+i32−1+i32−1+i323−3i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i3200
χ874-44-40000000001-1−2−2i32+2i3−2−2i32+2i3000000000−1−i321+i32−2+2i32−2i3−2+2i32−2i3000000000−1+i321−i32-44-44000000000-112+2i3−2−2i32+2i3−2−2i30000000001+i32−1−i322−2i3−2+2i32−2i3−2+2i30000000001−i32−1+i32
χ8866-2-2-2-2200000000−3−3i3−3−3i31+i31+i31+i31+i3−1−i300000000−3+3i3−3+3i31−i31−i31−i31−i3−1+i300000000-6-62222-2000000003+3i33+3i3−1−i3−1−i3−1−i3−1−i31+i3000000003−3i33−3i3−1+i3−1+i3−1+i3−1+i31−i300000000
χ896-6-220002−2−220000−3−3i33+3i31+i3−1−i3000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000−3+3i33−3i31−i3−1+i3000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000-662-2000−222−200003+3i3−3−3i3−1−i31+i3000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300003−3i3−3+3i3−1+i31−i3000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000
χ906-6-22000−222−20000−3−3i33+3i31+i3−1−i3000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000−3+3i33−3i31−i3−1+i3000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000-662-20002−2−2200003+3i3−3−3i3−1−i31+i3000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300003−3i3−3+3i3−1+i31−i3000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000

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