Finite Group Databasebeta

← Group #72244

Character table — Group #72244

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order1222444444444424888888882444888836661212121212121212121261224242424242424246121212242424243666121212121212121212126122424242424242424612121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i
χ611111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii11111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii11111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii
χ711111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii11111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii11111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii
χ811111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i11111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i11111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i
χ91111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i1111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i1111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i
χ101111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii1111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii1111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii
χ111111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii1111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii1111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii
χ121111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i1111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i1111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i
χ131111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-11
χ141111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-11111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-11111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-1
χ151111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-11111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-11111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-1
χ161111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-111111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-111111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-11
χ17222222-2-22222-2-2-2-20000000000000000222222-2-22222-2-2-2-20000000000000000222222-2-22222-2-2-2-20000000000000000
χ18222222-2-2-2-2-2-2222-20000000000000000222222-2-2-2-2-2-2222-20000000000000000222222-2-2-2-2-2-2222-20000000000000000
χ192222-2-22222-2-222-2-200000000000000002222-2-22222-2-222-2-200000000000000002222-2-22222-2-222-2-20000000000000000
χ202222-2-222-2-222-2-22-200000000000000002222-2-222-2-222-2-22-200000000000000002222-2-222-2-222-2-22-20000000000000000
χ2122-2-2002-22i−2i002i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000022-2-2002-22i−2i002i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000022-2-2002-22i−2i002i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ2222-2-2002-22i−2i002i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000022-2-2002-22i−2i002i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000022-2-2002-22i−2i002i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ2322-2-2002-2−2i2i00−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000022-2-2002-2−2i2i00−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000022-2-2002-2−2i2i00−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ2422-2-2002-2−2i2i00−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000022-2-2002-2−2i2i00−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000022-2-2002-2−2i2i00−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ2522-2-200-222i−2i00−2i2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000022-2-200-222i−2i00−2i2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000022-2-200-222i−2i00−2i2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ2622-2-200-222i−2i00−2i2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000022-2-200-222i−2i00−2i2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000022-2-200-222i−2i00−2i2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ2722-2-200-22−2i2i002i−2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000022-2-200-22−2i2i002i−2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000022-2-200-22−2i2i002i−2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ2822-2-200-22−2i2i002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000022-2-200-22−2i2i002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000022-2-200-22−2i2i002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ294-44-40000004i−4i000000000000000000004-44-40000004i−4i000000000000000000004-44-40000004i−4i00000000000000000000
χ304-44-4000000−4i4i000000000000000000004-44-4000000−4i4i000000000000000000004-44-4000000−4i4i00000000000000000000
χ314-4-444i−4i000000000000000000000000004-4-444i−4i000000000000000000000000004-4-444i−4i00000000000000000000000000
χ324-4-44−4i4i000000000000000000000000004-4-44−4i4i000000000000000000000000004-4-44−4i4i00000000000000000000000000
χ3311111111111111111111111111111111−1+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−i32−1−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
χ34111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ351111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ361111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−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−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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3711111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11
χ3811111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11
χ3911111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11
χ4011111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11
χ411111-1-1-1-111-1-1-1-111ii−i−iii−i−i1-11-1i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ421111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ431111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ441111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ451111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ461111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ471111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ481111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ49222222-2-22222-2-2-2-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000
χ50222222-2-2-2-2-2-2222-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i30000000000000000
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χ66111111111111111111111111-1-1-1-1-1-1-1-1−1−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−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ671111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ681111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+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+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−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ6911111111-1-1-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7
χ7011111111-1-1-1-1-1-1-11iiii−i−i−i−i-1-111−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7
χ7111111111-1-1-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7
χ7211111111-1-1-1-1-1-1-11−i−i−i−iiiii-1-111ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7
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χ741111-1-1-1-111-1-1-1-111ii−i−iii−i−i-11-11−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ751111-1-1-1-111-1-1-1-111−i−iii−i−iii1-11-1−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ761111-1-1-1-111-1-1-1-111−i−iii−i−iii-11-11i−ii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ771111-1-1-1-1-1-11111-1111-1-1-1-1111-1-111-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ781111-1-1-1-1-1-11111-1111-1-1-1-111-111-1-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ791111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ801111-1-1-1-1-1-11111-11-1-11111-1-1-111-11-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ81222222-2-22222-2-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000
χ82222222-2-2-2-2-2-2222-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i30000000000000000
χ832222-2-22222-2-222-2-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000000000000000
χ842222-2-222-2-222-2-22-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000000000000
χ8522-2-2002-22i−2i002i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−1−i3−1−i31+i31+i300−1−i31+i32ζ11−2ζ11002ζ11−2ζ1100−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ1100000000−1+i3−1+i31−i31−i300−1+i31−i32ζ7−2ζ7002ζ7−2ζ700ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ1000000000
χ8622-2-2002-22i−2i002i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−1−i3−1−i31+i31+i300−1−i31+i32ζ11−2ζ11002ζ11−2ζ1100ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ1100000000−1+i3−1+i31−i31−i300−1+i31−i32ζ7−2ζ7002ζ7−2ζ700−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ1000000000
χ8722-2-2002-2−2i2i00−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−1−i3−1−i31+i31+i300−1−i31+i3−2ζ112ζ1100−2ζ112ζ1100−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ1100000000−1+i3−1+i31−i31−i300−1+i31−i3−2ζ72ζ700−2ζ72ζ700−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ1000000000
χ8822-2-2002-2−2i2i00−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−1−i3−1−i31+i31+i300−1−i31+i3−2ζ112ζ1100−2ζ112ζ1100ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ1100000000−1+i3−1+i31−i31−i300−1+i31−i3−2ζ72ζ700−2ζ72ζ700ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ1000000000
χ8922-2-200-222i−2i00−2i2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000−1−i3−1−i31+i31+i3001+i3−1−i32ζ11−2ζ1100−2ζ112ζ1100−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ1100000000−1+i3−1+i31−i31−i3001−i3−1+i32ζ7−2ζ700−2ζ72ζ700−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ1000000000
χ9022-2-200-222i−2i00−2i2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000−1−i3−1−i31+i31+i3001+i3−1−i32ζ11−2ζ1100−2ζ112ζ1100ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ1100000000−1+i3−1+i31−i31−i3001−i3−1+i32ζ7−2ζ700−2ζ72ζ700ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ1000000000
χ9122-2-200-22−2i2i002i−2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000−1−i3−1−i31+i31+i3001+i3−1−i3−2ζ112ζ11002ζ11−2ζ1100−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ1100000000−1+i3−1+i31−i31−i3001−i3−1+i3−2ζ72ζ7002ζ7−2ζ700ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ1000000000
χ9222-2-200-22−2i2i002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000−1−i3−1−i31+i31+i3001+i3−1−i3−2ζ112ζ11002ζ11−2ζ1100ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ1100000000−1+i3−1+i31−i31−i3001−i3−1+i3−2ζ72ζ7002ζ7−2ζ700−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ1000000000
χ934-44-40000004i−4i00000000000000000000−2−2i32+2i3−2−2i32+2i30000004ζ11−4ζ1100000000000000000000−2+2i32−2i3−2+2i32−2i30000004ζ7−4ζ700000000000000000000
χ944-44-4000000−4i4i00000000000000000000−2−2i32+2i3−2−2i32+2i3000000−4ζ114ζ1100000000000000000000−2+2i32−2i3−2+2i32−2i3000000−4ζ74ζ700000000000000000000
χ954-4-444i−4i00000000000000000000000000−2−2i32+2i32+2i3−2−2i34ζ11−4ζ1100000000000000000000000000−2+2i32−2i32−2i3−2+2i34ζ7−4ζ700000000000000000000000000
χ964-4-44−4i4i00000000000000000000000000−2−2i32+2i32+2i3−2−2i3−4ζ114ζ1100000000000000000000000000−2+2i32−2i32−2i3−2+2i3−4ζ74ζ700000000000000000000000000

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