Finite Group Databasebeta

← Group #13172987

Character table — Group #13172987

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size123336666663232323636363612333666666323232363636361233366666632323236363636123336666663232323636363612333666666323232363636361233366666632323236363636
order132444612121212333248833612121261212121233361224243361212126121212123336122424262444612121212666248866612121261212121266661224246661212126121212126666122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ322222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-10000
χ42-12222-1-1-1-1-12-1-100002-12222-1-1-1-1-12-1-100002-12222-1-1-1-1-12-1-100002-12222-1-1-1-1-12-1-100002-12222-1-1-1-1-12-1-100002-12222-1-1-1-1-12-1-10000
χ52-12222-1-1-1-1-1-12-100002-12222-1-1-1-1-1-12-100002-12222-1-1-1-1-1-12-100002-12222-1-1-1-1-1-12-100002-12222-1-1-1-1-1-12-100002-12222-1-1-1-1-1-12-10000
χ62-12222-1-1-1-1-1-1-1200002-12222-1-1-1-1-1-1-1200002-12222-1-1-1-1-1-1-1200002-12222-1-1-1-1-1-1-1200002-12222-1-1-1-1-1-1-1200002-12222-1-1-1-1-1-1-120000
χ7333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1
χ8333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111
χ933-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i
χ1033-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii
χ1133-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii33-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii33-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii33-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii33-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii33-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii
χ1233-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i
χ1366-222-2-2-2-222000000066-222-2-2-2-222000000066-222-2-2-2-222000000066-222-2-2-2-222000000066-222-2-2-2-222000000066-222-2-2-2-2220000000
χ146-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-311110000000
χ156-3-222-211+231−23-1-100000006-3-222-211+231−23-1-100000006-3-222-211+231−23-1-100000006-3-222-211+231−23-1-100000006-3-222-211+231−23-1-100000006-3-222-211+231−23-1-10000000
χ166-3-222-211−231+23-1-100000006-3-222-211−231+23-1-100000006-3-222-211−231+23-1-100000006-3-222-211−231+23-1-100000006-3-222-211−231+23-1-100000006-3-222-211−231+23-1-10000000
χ176-3-2−2+4i−2−4i21-1-11−2i1+2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i0000000
χ186-3-2−2−4i−2+4i21-1-11+2i1−2i00000006-3-2−2−4i−2+4i21-1-11+2i1−2i00000006-3-2−2−4i−2+4i21-1-11+2i1−2i00000006-3-2−2−4i−2+4i21-1-11+2i1−2i00000006-3-2−2−4i−2+4i21-1-11+2i1−2i00000006-3-2−2−4i−2+4i21-1-11+2i1−2i0000000
χ19111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2011111111111111-1-1-1-1−1+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−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+i3211111111111111-1-1-1-1−1+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−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+i32
χ2122222222222-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32000022222222222-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i320000
χ222-12222-1-1-1-1-12-1-10000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i320000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i3200002-12222-1-1-1-1-12-1-10000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i320000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i320000
χ232-12222-1-1-1-1-1-12-10000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i320000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i3200002-12222-1-1-1-1-1-12-10000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i320000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i320000
χ242-12222-1-1-1-1-1-1-120000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i30000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i300002-12222-1-1-1-1-1-1-120000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i30000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i30000
χ25333-1-1-13-1-1-1-100011-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000−1−i32−1−i321+i321+i32333-1-1-13-1-1-1-100011-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000−1−i32−1−i321+i321+i32
χ26333-1-1-13-1-1-1-1000-1-111−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32333-1-1-13-1-1-1-1000-1-111−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32
χ2733-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i−3+3i32−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10000−1+i321−i32ζ7−ζ7−3−3i32−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11000−1−i321+i32ζ11−ζ1133-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i−3+3i32−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10000−1+i321−i32ζ7−ζ7−3−3i32−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11000−1−i321+i32ζ11−ζ11
χ2833-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii−3+3i32−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100001−i32−1+i32−ζ7ζ7−3−3i32−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110001+i32−1−i32−ζ11ζ1133-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii−3+3i32−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100001−i32−1+i32−ζ7ζ7−3−3i32−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110001+i32−1−i32−ζ11ζ11
χ2933-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii−3+3i32−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ10000−1+i321−i32−ζ7ζ7−3−3i32−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ11000−1−i321+i32−ζ11ζ1133-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii−3+3i32−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ10000−1+i321−i32−ζ7ζ7−3−3i32−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ11000−1−i321+i32−ζ11ζ11
χ3033-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i−3+3i32−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100001−i32−1+i32ζ7−ζ7−3−3i32−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110001+i32−1−i32ζ11−ζ1133-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i−3+3i32−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100001−i32−1+i32ζ7−ζ7−3−3i32−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110001+i32−1−i32ζ11−ζ11
χ3166-222-2-2-2-2220000000−3+3i3−3+3i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000000−3−3i3−3−3i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000066-222-2-2-2-2220000000−3+3i3−3+3i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000000−3−3i3−3−3i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000000
χ326-36-2-2-2-311110000000−3+3i33−3i32−3+3i31−i31−i31−i33−3i32−1+i32−1+i32−1+i32−1+i320000000−3−3i33+3i32−3−3i31+i31+i31+i33+3i32−1−i32−1−i32−1−i32−1−i3200000006-36-2-2-2-311110000000−3+3i33−3i32−3+3i31−i31−i31−i33−3i32−1+i32−1+i32−1+i32−1+i320000000−3−3i33+3i32−3−3i31+i31+i31+i33+3i32−1−i32−1−i32−1−i32−1−i320000000
χ336-3-222-211+231−23-1-10000000−3+3i33−3i321−i3−1+i3−1+i31−i3−1+i32−2ζ7−ζ10−4ζ112ζ7−ζ10+4ζ111−i321−i320000000−3−3i33+3i321+i3−1−i3−1−i31+i3−1−i32−ζ2+4ζ7+2ζ11−ζ2−4ζ7−2ζ111+i321+i3200000006-3-222-211+231−23-1-10000000−3+3i33−3i321−i3−1+i3−1+i31−i3−1+i32−2ζ7−ζ10−4ζ112ζ7−ζ10+4ζ111−i321−i320000000−3−3i33+3i321+i3−1−i3−1−i31+i3−1−i32−ζ2+4ζ7+2ζ11−ζ2−4ζ7−2ζ111+i321+i320000000
χ346-3-222-211−231+23-1-10000000−3+3i33−3i321−i3−1+i3−1+i31−i3−1+i322ζ7−ζ10+4ζ11−2ζ7−ζ10−4ζ111−i321−i320000000−3−3i33+3i321+i3−1−i3−1−i31+i3−1−i32−ζ2−4ζ7−2ζ11−ζ2+4ζ7+2ζ111+i321+i3200000006-3-222-211−231+23-1-10000000−3+3i33−3i321−i3−1+i3−1+i31−i3−1+i322ζ7−ζ10+4ζ11−2ζ7−ζ10−4ζ111−i321−i320000000−3−3i33+3i321+i3−1−i3−1−i31+i3−1−i32−ζ2−4ζ7−2ζ11−ζ2+4ζ7+2ζ111+i321+i320000000
χ356-3-2−2+4i−2−4i21-1-11−2i1+2i0000000−3+3i33−3i321−i34ζ7+2ζ10−4ζ7+2ζ10−1+i3−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ100000000−3−3i33+3i321+i32ζ2+4ζ112ζ2−4ζ11−1−i3−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ1100000006-3-2−2+4i−2−4i21-1-11−2i1+2i0000000−3+3i33−3i321−i34ζ7+2ζ10−4ζ7+2ζ10−1+i3−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ100000000−3−3i33+3i321+i32ζ2+4ζ112ζ2−4ζ11−1−i3−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ110000000
χ366-3-2−2−4i−2+4i21-1-11+2i1−2i0000000−3+3i33−3i321−i3−4ζ7+2ζ104ζ7+2ζ10−1+i3−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ100000000−3−3i33+3i321+i32ζ2−4ζ112ζ2+4ζ11−1−i3−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ1100000006-3-2−2−4i−2+4i21-1-11+2i1−2i0000000−3+3i33−3i321−i3−4ζ7+2ζ104ζ7+2ζ10−1+i3−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ100000000−3−3i33+3i321+i32ζ2−4ζ112ζ2+4ζ11−1−i3−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ110000000
χ37111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3811111111111111-1-1-1-1−1−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+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−i3211111111111111-1-1-1-1−1−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+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−i32
χ3922222222222-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32000022222222222-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i320000
χ402-12222-1-1-1-1-12-1-10000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i320000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i3200002-12222-1-1-1-1-12-1-10000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i320000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i320000
χ412-12222-1-1-1-1-1-12-10000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i320000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i3200002-12222-1-1-1-1-1-12-10000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i320000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i320000
χ422-12222-1-1-1-1-1-1-120000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i30000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i300002-12222-1-1-1-1-1-1-120000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i30000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i30000
χ43333-1-1-13-1-1-1-100011-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000−1+i32−1+i321−i321−i32333-1-1-13-1-1-1-100011-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000−1+i32−1+i321−i321−i32
χ44333-1-1-13-1-1-1-1000-1-111−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32333-1-1-13-1-1-1-1000-1-111−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32
χ4533-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i−3−3i32−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11000−1−i321+i32ζ11−ζ11−3+3i32−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10000−1+i321−i32ζ7−ζ733-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i−3−3i32−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11000−1−i321+i32ζ11−ζ11−3+3i32−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10000−1+i321−i32ζ7−ζ7
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χ4833-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i−3−3i32−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110001+i32−1−i32ζ11−ζ11−3+3i32−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100001−i32−1+i32ζ7−ζ733-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i−3−3i32−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110001+i32−1−i32ζ11−ζ11−3+3i32−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100001−i32−1+i32ζ7−ζ7
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χ506-36-2-2-2-311110000000−3−3i33+3i32−3−3i31+i31+i31+i33+3i32−1−i32−1−i32−1−i32−1−i320000000−3+3i33−3i32−3+3i31−i31−i31−i33−3i32−1+i32−1+i32−1+i32−1+i3200000006-36-2-2-2-311110000000−3−3i33+3i32−3−3i31+i31+i31+i33+3i32−1−i32−1−i32−1−i32−1−i320000000−3+3i33−3i32−3+3i31−i31−i31−i33−3i32−1+i32−1+i32−1+i32−1+i320000000
χ516-3-222-211+231−23-1-10000000−3−3i33+3i321+i3−1−i3−1−i31+i3−1−i32−ζ2+4ζ7+2ζ11−ζ2−4ζ7−2ζ111+i321+i320000000−3+3i33−3i321−i3−1+i3−1+i31−i3−1+i32−2ζ7−ζ10−4ζ112ζ7−ζ10+4ζ111−i321−i3200000006-3-222-211+231−23-1-10000000−3−3i33+3i321+i3−1−i3−1−i31+i3−1−i32−ζ2+4ζ7+2ζ11−ζ2−4ζ7−2ζ111+i321+i320000000−3+3i33−3i321−i3−1+i3−1+i31−i3−1+i32−2ζ7−ζ10−4ζ112ζ7−ζ10+4ζ111−i321−i320000000
χ526-3-222-211−231+23-1-10000000−3−3i33+3i321+i3−1−i3−1−i31+i3−1−i32−ζ2−4ζ7−2ζ11−ζ2+4ζ7+2ζ111+i321+i320000000−3+3i33−3i321−i3−1+i3−1+i31−i3−1+i322ζ7−ζ10+4ζ11−2ζ7−ζ10−4ζ111−i321−i3200000006-3-222-211−231+23-1-10000000−3−3i33+3i321+i3−1−i3−1−i31+i3−1−i32−ζ2−4ζ7−2ζ11−ζ2+4ζ7+2ζ111+i321+i320000000−3+3i33−3i321−i3−1+i3−1+i31−i3−1+i322ζ7−ζ10+4ζ11−2ζ7−ζ10−4ζ111−i321−i320000000
χ536-3-2−2+4i−2−4i21-1-11−2i1+2i0000000−3−3i33+3i321+i32ζ2+4ζ112ζ2−4ζ11−1−i3−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ110000000−3+3i33−3i321−i34ζ7+2ζ10−4ζ7+2ζ10−1+i3−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ1000000006-3-2−2+4i−2−4i21-1-11−2i1+2i0000000−3−3i33+3i321+i32ζ2+4ζ112ζ2−4ζ11−1−i3−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ110000000−3+3i33−3i321−i34ζ7+2ζ10−4ζ7+2ζ10−1+i3−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ100000000
χ546-3-2−2−4i−2+4i21-1-11+2i1−2i0000000−3−3i33+3i321+i32ζ2−4ζ112ζ2+4ζ11−1−i3−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ110000000−3+3i33−3i321−i3−4ζ7+2ζ104ζ7+2ζ10−1+i3−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ1000000006-3-2−2−4i−2+4i21-1-11+2i1−2i0000000−3−3i33+3i321+i32ζ2−4ζ112ζ2+4ζ11−1−i3−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ110000000−3+3i33−3i321−i3−4ζ7+2ζ104ζ7+2ζ10−1+i3−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ100000000
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χ5611111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5722222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-10000-2-2-2-2-2-2-2-2-2-2-21110000-2-2-2-2-2-2-2-2-2-2-21110000-2-2-2-2-2-2-2-2-2-2-21110000
χ582-12222-1-1-1-1-12-1-100002-12222-1-1-1-1-12-1-100002-12222-1-1-1-1-12-1-10000-21-2-2-2-211111-2110000-21-2-2-2-211111-2110000-21-2-2-2-211111-2110000
χ592-12222-1-1-1-1-1-12-100002-12222-1-1-1-1-1-12-100002-12222-1-1-1-1-1-12-10000-21-2-2-2-2111111-210000-21-2-2-2-2111111-210000-21-2-2-2-2111111-210000
χ602-12222-1-1-1-1-1-1-1200002-12222-1-1-1-1-1-1-1200002-12222-1-1-1-1-1-1-120000-21-2-2-2-21111111-20000-21-2-2-2-21111111-20000-21-2-2-2-21111111-20000
χ61333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1-3-3-3111-31111000-1-111-3-3-3111-31111000-1-111-3-3-3111-31111000-1-111
χ62333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111-3-3-3111-3111100011-1-1-3-3-3111-3111100011-1-1-3-3-3111-3111100011-1-1
χ6333-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i-3-311−2i1+2i-11-1-11−2i1+2i000-11−ii-3-311−2i1+2i-11-1-11−2i1+2i000-11−ii-3-311−2i1+2i-11-1-11−2i1+2i000-11−ii
χ6433-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii-3-311−2i1+2i-11-1-11−2i1+2i0001-1i−i-3-311−2i1+2i-11-1-11−2i1+2i0001-1i−i-3-311−2i1+2i-11-1-11−2i1+2i0001-1i−i
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χ6633-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i-3-311+2i1−2i-11-1-11+2i1−2i0001-1−ii-3-311+2i1−2i-11-1-11+2i1−2i0001-1−ii-3-311+2i1−2i-11-1-11+2i1−2i0001-1−ii
χ6766-222-2-2-2-222000000066-222-2-2-2-222000000066-222-2-2-2-2220000000-6-62-2-22222-2-20000000-6-62-2-22222-2-20000000-6-62-2-22222-2-20000000
χ686-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-311110000000-63-62223-1-1-1-10000000-63-62223-1-1-1-10000000-63-62223-1-1-1-10000000
χ696-3-222-211+231−23-1-100000006-3-222-211+231−23-1-100000006-3-222-211+231−23-1-10000000-632-2-22-1−1−23−1+23110000000-632-2-22-1−1−23−1+23110000000-632-2-22-1−1−23−1+23110000000
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χ716-3-2−2+4i−2−4i21-1-11−2i1+2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i0000000-6322−4i2+4i-2-111−1+2i−1−2i0000000-6322−4i2+4i-2-111−1+2i−1−2i0000000-6322−4i2+4i-2-111−1+2i−1−2i0000000
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χ97333-1-1-13-1-1-1-100011-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000−1+i32−1+i321−i321−i32-3-3-3111-31111000-1-1113+3i323+3i323+3i32−1−i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i32−1−i320001+i321+i32−1−i32−1−i323−3i323−3i323−3i32−1+i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i32−1+i320001−i321−i32−1+i32−1+i32
χ98333-1-1-13-1-1-1-1000-1-111−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32-3-3-3111-3111100011-1-13+3i323+3i323+3i32−1−i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i32−1−i32000−1−i32−1−i321+i321+i323−3i323−3i323−3i32−1+i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i32−1+i32000−1+i32−1+i321−i321−i32
χ9933-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i−3−3i32−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11000−1−i321+i32ζ11−ζ11−3+3i32−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10000−1+i321−i32ζ7−ζ7-3-311−2i1+2i-11-1-11−2i1+2i000-11−ii3+3i323+3i32−1−i32−ζ2−2ζ11−ζ2+2ζ111+i32−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ110001+i32−1−i32−ζ11ζ113−3i323−3i32−1+i32−2ζ7−ζ102ζ7−ζ101−i32−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ100001−i32−1+i32−ζ7ζ7
χ10033-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii−3−3i32−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110001+i32−1−i32−ζ11ζ11−3+3i32−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100001−i32−1+i32−ζ7ζ7-3-311−2i1+2i-11-1-11−2i1+2i0001-1i−i3+3i323+3i32−1−i32−ζ2−2ζ11−ζ2+2ζ111+i32−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ11000−1−i321+i32ζ11−ζ113−3i323−3i32−1+i32−2ζ7−ζ102ζ7−ζ101−i32−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ10000−1+i321−i32ζ7−ζ7
χ10133-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii−3−3i32−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ11000−1−i321+i32−ζ11ζ11−3+3i32−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ10000−1+i321−i32−ζ7ζ7-3-311+2i1−2i-11-1-11+2i1−2i000-11i−i3+3i323+3i32−1−i32−ζ2+2ζ11−ζ2−2ζ111+i32−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ110001+i32−1−i32ζ11−ζ113−3i323−3i32−1+i322ζ7−ζ10−2ζ7−ζ101−i32−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ100001−i32−1+i32ζ7−ζ7
χ10233-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i−3−3i32−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110001+i32−1−i32ζ11−ζ11−3+3i32−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100001−i32−1+i32ζ7−ζ7-3-311+2i1−2i-11-1-11+2i1−2i0001-1−ii3+3i323+3i32−1−i32−ζ2+2ζ11−ζ2−2ζ111+i32−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ11000−1−i321+i32−ζ11ζ113−3i323−3i32−1+i322ζ7−ζ10−2ζ7−ζ101−i32−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ10000−1+i321−i32−ζ7ζ7
χ10366-222-2-2-2-2220000000−3−3i3−3−3i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000000−3+3i3−3+3i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000000-6-62-2-22222-2-200000003+3i33+3i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300000003−3i33−3i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000
χ1046-36-2-2-2-311110000000−3−3i33+3i32−3−3i31+i31+i31+i33+3i32−1−i32−1−i32−1−i32−1−i320000000−3+3i33−3i32−3+3i31−i31−i31−i33−3i32−1+i32−1+i32−1+i32−1+i320000000-63-62223-1-1-1-100000003+3i3−3−3i323+3i3−1−i3−1−i3−1−i3−3−3i321+i321+i321+i321+i3200000003−3i3−3+3i323−3i3−1+i3−1+i3−1+i3−3+3i321−i321−i321−i321−i320000000
χ1056-3-222-211+231−23-1-10000000−3−3i33+3i321+i3−1−i3−1−i31+i3−1−i32−ζ2+4ζ7+2ζ11−ζ2−4ζ7−2ζ111+i321+i320000000−3+3i33−3i321−i3−1+i3−1+i31−i3−1+i32−2ζ7−ζ10−4ζ112ζ7−ζ10+4ζ111−i321−i320000000-632-2-22-1−1−23−1+231100000003+3i3−3−3i32−1−i31+i31+i3−1−i31+i32ζ2−4ζ7−2ζ11ζ2+4ζ7+2ζ11−1−i32−1−i3200000003−3i3−3+3i32−1+i31−i31−i3−1+i31−i322ζ7+ζ10+4ζ11−2ζ7+ζ10−4ζ11−1+i32−1+i320000000
χ1066-3-222-211−231+23-1-10000000−3−3i33+3i321+i3−1−i3−1−i31+i3−1−i32−ζ2−4ζ7−2ζ11−ζ2+4ζ7+2ζ111+i321+i320000000−3+3i33−3i321−i3−1+i3−1+i31−i3−1+i322ζ7−ζ10+4ζ11−2ζ7−ζ10−4ζ111−i321−i320000000-632-2-22-1−1+23−1−231100000003+3i3−3−3i32−1−i31+i31+i3−1−i31+i32ζ2+4ζ7+2ζ11ζ2−4ζ7−2ζ11−1−i32−1−i3200000003−3i3−3+3i32−1+i31−i31−i3−1+i31−i32−2ζ7+ζ10−4ζ112ζ7+ζ10+4ζ11−1+i32−1+i320000000
χ1076-3-2−2+4i−2−4i21-1-11−2i1+2i0000000−3−3i33+3i321+i32ζ2+4ζ112ζ2−4ζ11−1−i3−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ110000000−3+3i33−3i321−i34ζ7+2ζ10−4ζ7+2ζ10−1+i3−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ100000000-6322−4i2+4i-2-111−1+2i−1−2i00000003+3i3−3−3i32−1−i3−2ζ2−4ζ11−2ζ2+4ζ111+i31+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100000003−3i3−3+3i32−1+i3−4ζ7−2ζ104ζ7−2ζ101−i31−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100000000
χ1086-3-2−2−4i−2+4i21-1-11+2i1−2i0000000−3−3i33+3i321+i32ζ2−4ζ112ζ2+4ζ11−1−i3−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ110000000−3+3i33−3i321−i3−4ζ7+2ζ104ζ7+2ζ10−1+i3−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ100000000-6322+4i2−4i-2-111−1−2i−1+2i00000003+3i3−3−3i32−1−i3−2ζ2+4ζ11−2ζ2−4ζ111+i31+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100000003−3i3−3+3i32−1+i34ζ7−2ζ10−4ζ7−2ζ101−i31−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100000000

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