Finite Group Databasebeta

← Group #11923212

Character table — Group #11923212

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222244444444666666668888888888882222444444888888881212121212121212161616161616161616161616333366666612121212121212121818181818181818242424242424242424242424
order122222444433666666444444446666121212121212121236666612121212336666661212121212121212666612121212121212122222224444666666664444444466661212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−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+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−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+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ31111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+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−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+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−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ4111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ6111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ71111-1-111-1-11111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111111111-1-111-1-1-1-1-1-111-1-111-1-1
χ81111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ91111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ101111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-111
χ111111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ121111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ131-1-111-1i−ii−i1111-1-1-1-1i−ii−i1-11-11-11-1i−ii−ii−ii−i1-1-111-1i−ii−i1111-1-1-1-1i−ii−i1-11-11-11-1i−ii−ii−ii−i1-1-111-1i−ii−i1111-1-1-1-1i−ii−i1-11-11-11-1i−ii−ii−ii−i
χ141-1-111-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−ii−i1-11-1−1−i321+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ71-1-111-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−ii−i1-11-1−1−i321+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ71-1-111-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−ii−i1-11-1−1−i321+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ151-1-111-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−ii−i1-11-1−1+i321−i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ111-1-111-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−ii−i1-11-1−1+i321−i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ111-1-111-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−ii−i1-11-1−1+i321−i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ161-1-111-1−ii−ii1111-1-1-1-1−ii−ii1-11-11-11-1−ii−ii−ii−ii1-1-111-1−ii−ii1111-1-1-1-1−ii−ii1-11-11-11-1−ii−ii−ii−ii1-1-111-1−ii−ii1111-1-1-1-1−ii−ii1-11-11-11-1−ii−ii−ii−ii
χ171-1-111-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ii−ii1-11-1−1−i321+i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ71-1-111-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ii−ii1-11-1−1−i321+i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ71-1-111-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ii−ii1-11-1−1−i321+i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ181-1-111-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ii−ii1-11-1−1+i321−i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ111-1-111-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ii−ii1-11-1−1+i321−i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ111-1-111-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ii−ii1-11-1−1+i321−i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ191-1-11-11i−i−ii1111-1-1-1-1i−i−ii1-1-11-11-11i−i−iii−i−ii1-1-11-11i−i−ii1111-1-1-1-1i−i−ii1-1-11-11-11i−i−iii−i−ii1-1-11-11i−i−ii1111-1-1-1-1i−i−ii1-1-11-11-11i−i−iii−i−ii
χ201-1-11-11i−i−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−i−ii1-1-111+i32−1−i321−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71-1-11-11i−i−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−i−ii1-1-111+i32−1−i321−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71-1-11-11i−i−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−i−ii1-1-111+i32−1−i321−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ211-1-11-11i−i−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−i−ii1-1-111−i32−1+i321+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111-1-11-11i−i−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−i−ii1-1-111−i32−1+i321+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111-1-11-11i−i−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−i−ii1-1-111−i32−1+i321+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ221-1-11-11−iii−i1111-1-1-1-1−iii−i1-1-11-11-11−iii−i−iii−i1-1-11-11−iii−i1111-1-1-1-1−iii−i1-1-11-11-11−iii−i−iii−i1-1-11-11−iii−i1111-1-1-1-1−iii−i1-1-11-11-11−iii−i−iii−i
χ231-1-11-11−iii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−iii−i1-1-111+i32−1−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71-1-11-11−iii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−iii−i1-1-111+i32−1−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71-1-11-11−iii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−iii−i1-1-111+i32−1−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ241-1-11-11−iii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−iii−i1-1-111−i32−1+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ111-1-11-11−iii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−iii−i1-1-111−i32−1+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ111-1-11-11−iii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−iii−i1-1-111−i32−1+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ25333333333300000000-1-1-1-1-1-1-1-1000000000000333333333300000000-1-1-1-1-1-1-1-1000000000000333333333300000000-1-1-1-1-1-1-1-1000000000000
χ26333333-3-3-3-3000000001111-1-1-1-1000000000000333333-3-3-3-3000000001111-1-1-1-1000000000000333333-3-3-3-3000000001111-1-1-1-1000000000000
χ273333-3-333-3-300000000-1-111-1-1110000000000003333-3-333-3-300000000-1-111-1-1110000000000003333-3-333-3-300000000-1-111-1-111000000000000
χ283333-3-3-3-3330000000011-1-1-1-1110000000000003333-3-3-3-3330000000011-1-1-1-1110000000000003333-3-3-3-3330000000011-1-1-1-111000000000000
χ293-3-333-33i−3i3i−3i00000000−ii−ii-11-110000000000003-3-333-33i−3i3i−3i00000000−ii−ii-11-110000000000003-3-333-33i−3i3i−3i00000000−ii−ii-11-11000000000000
χ303-3-333-3−3i3i−3i3i00000000i−ii−i-11-110000000000003-3-333-3−3i3i−3i3i00000000i−ii−i-11-110000000000003-3-333-3−3i3i−3i3i00000000i−ii−i-11-11000000000000
χ313-3-33-333i−3i−3i3i00000000−iii−i-111-10000000000003-3-33-333i−3i−3i3i00000000−iii−i-111-10000000000003-3-33-333i−3i−3i3i00000000−iii−i-111-1000000000000
χ323-3-33-33−3i3i3i−3i00000000i−i−ii-111-10000000000003-3-33-33−3i3i3i−3i00000000i−i−ii-111-10000000000003-3-33-33−3i3i3i−3i00000000i−i−ii-111-1000000000000
χ3344-4-4000000-2-2222-22-20000000000000000000044-4-4000000-2-2222-22-20000000000000000000044-4-4000000-2-2222-22-200000000000000000000
χ3444-4-40000001+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i30000000000000000000044-4-40000001+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i30000000000000000000044-4-40000001+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000
χ3544-4-40000001−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i30000000000000000000044-4-40000001−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i30000000000000000000044-4-40000001−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000
χ364-44-4000000-2-222-22-22000000000000000000004-44-4000000-2-222-22-22000000000000000000004-44-4000000-2-222-22-2200000000000000000000
χ374-44-40000001+i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i3000000000000000000004-44-40000001+i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i3000000000000000000004-44-40000001+i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i300000000000000000000
χ384-44-40000001−i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i3000000000000000000004-44-40000001−i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i3000000000000000000004-44-40000001−i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i300000000000000000000
χ391111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ401111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−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+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ411111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+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−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ42111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ43111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-111111+i321−i321+i321−i321+i321+i321−i321−i321111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ44111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-111111−i321+i321−i321+i321−i321−i321+i321+i321111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ451111-1-111-1-11111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111
χ461111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-1111+i321−i321+i321−i321+i321+i321−i321−i32-1-111-1-111−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ471111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-1111−i321+i321−i321+i321−i321−i321+i321+i32-1-111-1-111−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ481111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1
χ491111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-11111-1-11+i321−i321+i321−i321+i321+i321−i321−i3211-1-1-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ501111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-11111-1-11−i321+i321−i321+i321−i321−i321+i321+i3211-1-1-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ511-1-111-1i−ii−i1111-1-1-1-1i−ii−i1-11-11-11-1i−ii−ii−ii−i1-1-111-1i−ii−i1111-1-1-1-1i−ii−i1-11-11-11-1i−ii−ii−ii−i-111-1-11−ii−ii-1-1-1-11111−ii−ii-11-11-11-11−ii−ii−ii−ii
χ521-1-111-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−ii−i1-11-1−1−i321+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ71-1-111-1i−ii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−ii−i1-11-1−1−i321+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7-111-1-11−ii−ii1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−ii−ii-11-111+i32−1−i321−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ531-1-111-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−ii−i1-11-1−1+i321−i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ111-1-111-1i−ii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−ii−i1-11-1−1+i321−i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11-111-1-11−ii−ii1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−ii−ii-11-111−i32−1+i321+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ541-1-111-1−ii−ii1111-1-1-1-1−ii−ii1-11-11-11-1−ii−ii−ii−ii1-1-111-1−ii−ii1111-1-1-1-1−ii−ii1-11-11-11-1−ii−ii−ii−ii-111-1-11i−ii−i-1-1-1-11111i−ii−i-11-11-11-11i−ii−ii−ii−i
χ551-1-111-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ii−ii1-11-1−1−i321+i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ71-1-111-1−ii−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ii−ii1-11-1−1−i321+i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7-111-1-11i−ii−i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32i−ii−i-11-111+i32−1−i321−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ561-1-111-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ii−ii1-11-1−1+i321−i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ111-1-111-1−ii−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ii−ii1-11-1−1+i321−i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11-111-1-11i−ii−i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32i−ii−i-11-111−i32−1+i321+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ571-1-11-11i−i−ii1111-1-1-1-1i−i−ii1-1-11-11-11i−i−iii−i−ii1-1-11-11i−i−ii1111-1-1-1-1i−i−ii1-1-11-11-11i−i−iii−i−ii-111-11-1−iii−i-1-1-1-11111−iii−i-111-11-11-1−iii−i−iii−i
χ581-1-11-11i−i−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−i−ii1-1-111+i32−1−i321−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71-1-11-11i−i−ii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−i−ii1-1-111+i32−1−i321−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7-111-11-1−iii−i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−iii−i-111-1−1−i321+i32−1+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ591-1-11-11i−i−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−i−ii1-1-111−i32−1+i321+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111-1-11-11i−i−ii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−i−ii1-1-111−i32−1+i321+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11-111-11-1−iii−i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−iii−i-111-1−1+i321−i32−1−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ601-1-11-11−iii−i1111-1-1-1-1−iii−i1-1-11-11-11−iii−i−iii−i1-1-11-11−iii−i1111-1-1-1-1−iii−i1-1-11-11-11−iii−i−iii−i-111-11-1i−i−ii-1-1-1-11111i−i−ii-111-11-11-1i−i−iii−i−ii
χ611-1-11-11−iii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−iii−i1-1-111+i32−1−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71-1-11-11−iii−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−iii−i1-1-111+i32−1−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7-111-11-1i−i−ii1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32i−i−ii-111-1−1−i321+i32−1+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ621-1-11-11−iii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−iii−i1-1-111−i32−1+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ111-1-11-11−iii−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−iii−i1-1-111−i32−1+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11-111-11-1i−i−ii1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32i−i−ii-111-1−1+i321−i32−1−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ63333333333300000000-1-1-1-1-1-1-1-1000000000000333333333300000000-1-1-1-1-1-1-1-1000000000000-3-3-3-3-3-3-3-3-3-30000000011111111000000000000
χ64333333-3-3-3-3000000001111-1-1-1-1000000000000333333-3-3-3-3000000001111-1-1-1-1000000000000-3-3-3-3-3-3333300000000-1-1-1-11111000000000000
χ653333-3-333-3-300000000-1-111-1-1110000000000003333-3-333-3-300000000-1-111-1-111000000000000-3-3-3-333-3-3330000000011-1-111-1-1000000000000
χ663333-3-3-3-3330000000011-1-1-1-1110000000000003333-3-3-3-3330000000011-1-1-1-111000000000000-3-3-3-33333-3-300000000-1-11111-1-1000000000000
χ673-3-333-33i−3i3i−3i00000000−ii−ii-11-110000000000003-3-333-33i−3i3i−3i00000000−ii−ii-11-11000000000000-333-3-33−3i3i−3i3i00000000i−ii−i1-11-1000000000000
χ683-3-333-3−3i3i−3i3i00000000i−ii−i-11-110000000000003-3-333-3−3i3i−3i3i00000000i−ii−i-11-11000000000000-333-3-333i−3i3i−3i00000000−ii−ii1-11-1000000000000
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χ703-3-33-33−3i3i3i−3i00000000i−i−ii-111-10000000000003-3-33-33−3i3i3i−3i00000000i−i−ii-111-1000000000000-333-33-33i−3i−3i3i00000000−iii−i1-1-11000000000000
χ7144-4-4000000-2-2222-22-20000000000000000000044-4-4000000-2-2222-22-200000000000000000000-4-44400000022-2-2-22-2200000000000000000000
χ7244-4-40000001+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i30000000000000000000044-4-40000001+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000-4-444000000−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i300000000000000000000
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χ7722222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ782222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322222222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3200000000000000000000000000000000000000
χ792222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322222222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3200000000000000000000000000000000000000
χ80222222-2-2-2-222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000000000000000000000
χ81222222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-2-22222−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3-1-1-1-1-1-111111+i321−i321+i321−i321+i321+i321−i321−i321111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000000000000000000000000000000
χ82222222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-2-22222−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3-1-1-1-1-1-111111−i321+i321−i321+i321−i321−i321+i321+i321111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000000000000000000000000000000000
χ832222-2-222-2-22222222222-2-222-2-2-2-2-2-222-2-222-2-2-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11100000000000000000000000000000000000000
χ842222-2-222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-222-2-21+i31+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-1-1-1-111-1-1111+i321−i321+i321−i321+i321+i321−i321−i32-1-111-1-111−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3200000000000000000000000000000000000000
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χ862222-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-222-2-222-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-100000000000000000000000000000000000000
χ872222-2-2-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-22222-2-21+i31+i31−i31−i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3-1-1-1-11111-1-11+i321−i321+i321−i321+i321+i321−i321−i3211-1-1-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3200000000000000000000000000000000000000
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χ892-2-222-22i−2i2i−2i2222-2-2-2-22i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i-111-1-11−ii−ii-1-1-1-11111−ii−ii-11-11-11-11−ii−ii−ii−ii00000000000000000000000000000000000000
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χ922-2-222-2−2i2i−2i2i2222-2-2-2-2−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i-111-1-11i−ii−i-1-1-1-11111i−ii−i-11-11-11-11i−ii−ii−ii−i00000000000000000000000000000000000000
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χ952-2-22-222i−2i−2i2i2222-2-2-2-22i−2i−2i2i2-2-22-22-222i−2i−2i2i2i−2i−2i2i-111-11-1−iii−i-1-1-1-11111−iii−i-111-11-11-1−iii−i−iii−i00000000000000000000000000000000000000
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χ982-2-22-22−2i2i2i−2i2222-2-2-2-2−2i2i2i−2i2-2-22-22-22−2i2i2i−2i−2i2i2i−2i-111-11-1i−i−ii-1-1-1-11111i−i−ii-111-11-11-1i−i−iii−i−ii00000000000000000000000000000000000000
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χ1002-2-22-22−2i2i2i−2i−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−2i2i2i−2i2-2-221−i3−1+i31+i3−1−i3−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11-111-11-1i−i−ii1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32i−i−ii-111-1−1+i321−i32−1−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1100000000000000000000000000000000000000
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χ102666666-6-6-6-6000000002222-2-2-2-2000000000000-3-3-3-3-3-3333300000000-1-1-1-1111100000000000000000000000000000000000000000000000000
χ1036666-6-666-6-600000000-2-222-2-222000000000000-3-3-3-333-3-3330000000011-1-111-1-100000000000000000000000000000000000000000000000000
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χ10988-8-8000000-4-4444-44-400000000000000000000-4-44400000022-2-2-22-220000000000000000000000000000000000000000000000000000000000
χ11088-8-80000002+2i32−2i3−2−2i3−2+2i3−2−2i32+2i3−2+2i32−2i300000000000000000000-4-444000000−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i30000000000000000000000000000000000000000000000000000000000
χ11188-8-80000002−2i32+2i3−2+2i3−2−2i3−2+2i32−2i3−2−2i32+2i300000000000000000000-4-444000000−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i30000000000000000000000000000000000000000000000000000000000
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χ1138-88-80000002+2i32−2i3−2−2i3−2+2i32+2i3−2−2i32−2i3−2+2i300000000000000000000-44-44000000−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i30000000000000000000000000000000000000000000000000000000000
χ1148-88-80000002−2i32+2i3−2+2i3−2−2i32−2i3−2+2i32+2i3−2−2i300000000000000000000-44-44000000−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i30000000000000000000000000000000000000000000000000000000000

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