Finite Group Databasebeta

← Group #72221

Character table — Group #72221

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order1222224444444444444444444444888836666612121212121212121212121212121212121212121212242424243666661212121212121212121212121212121212121212121224242424
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
χ5111111-1-1-1-1-1-111-111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-111111-1-1-1-111-1-111-1-1
χ6111111-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-111
χ7111111-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-111
χ8111111-1-1-1-1-1-111-11-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-111-11-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-111-11-1-1-1-11111-1-11111-1-1
χ91111-1-11111-1-1-1-1-11ii−i−iii−i−i1-11-1i−ii−i1111-1-11111-1-1-1-1-11ii−i−iii−i−i1-11-1i−ii−i1111-1-11111-1-1-1-1-11ii−i−iii−i−i1-11-1i−ii−i
χ101111-1-11111-1-1-1-1-11ii−i−iii−i−i-11-11−ii−ii1111-1-11111-1-1-1-1-11ii−i−iii−i−i-11-11−ii−ii1111-1-11111-1-1-1-1-11ii−i−iii−i−i-11-11−ii−ii
χ111111-1-11111-1-1-1-1-11−i−iii−i−iii1-11-1−ii−ii1111-1-11111-1-1-1-1-11−i−iii−i−iii1-11-1−ii−ii1111-1-11111-1-1-1-1-11−i−iii−i−iii1-11-1−ii−ii
χ121111-1-11111-1-1-1-1-11−i−iii−i−iii-11-11i−ii−i1111-1-11111-1-1-1-1-11−i−iii−i−iii-11-11i−ii−i1111-1-11111-1-1-1-1-11−i−iii−i−iii-11-11i−ii−i
χ131111-1-1-1-1-1-111-1-111ii−i−i−i−iii1-1-11i−i−ii1111-1-1-1-1-1-111-1-111ii−i−i−i−iii1-1-11i−i−ii1111-1-1-1-1-1-111-1-111ii−i−i−i−iii1-1-11i−i−ii
χ141111-1-1-1-1-1-111-1-111ii−i−i−i−iii-111-1−iii−i1111-1-1-1-1-1-111-1-111ii−i−i−i−iii-111-1−iii−i1111-1-1-1-1-1-111-1-111ii−i−i−i−iii-111-1−iii−i
χ151111-1-1-1-1-1-111-1-111−i−iiiii−i−i1-1-11−iii−i1111-1-1-1-1-1-111-1-111−i−iiiii−i−i1-1-11−iii−i1111-1-1-1-1-1-111-1-111−i−iiiii−i−i1-1-11−iii−i
χ161111-1-1-1-1-1-111-1-111−i−iiiii−i−i-111-1i−i−ii1111-1-1-1-1-1-111-1-111−i−iiiii−i−i-111-1i−i−ii1111-1-1-1-1-1-111-1-111−i−iiiii−i−i-111-1i−i−ii
χ1722222222-2-2-2-2-2-22-2000000000000000022222222-2-2-2-2-2-22-2000000000000000022222222-2-2-2-2-2-22-20000000000000000
χ18222222-2-22222-2-2-2-20000000000000000222222-2-22222-2-2-2-20000000000000000222222-2-22222-2-2-2-20000000000000000
χ192222-2-222-2-22222-2-200000000000000002222-2-222-2-22222-2-200000000000000002222-2-222-2-22222-2-20000000000000000
χ202222-2-2-2-222-2-2222-200000000000000002222-2-2-2-222-2-2222-200000000000000002222-2-2-2-222-2-2222-20000000000000000
χ212-22-2002i−2i002-22i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000002-22-2002i−2i002-22i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000002-22-2002i−2i002-22i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ222-22-2002i−2i002-22i−2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000002-22-2002i−2i002-22i−2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000002-22-2002i−2i002-22i−2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ232-22-2002i−2i00-22−2i2i001−i−1+i1+i−1−i−1−i1+i−1+i1−i000000002-22-2002i−2i00-22−2i2i001−i−1+i1+i−1−i−1−i1+i−1+i1−i000000002-22-2002i−2i00-22−2i2i001−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000
χ242-22-2002i−2i00-22−2i2i00−1+i1−i−1−i1+i1+i−1−i1−i−1+i000000002-22-2002i−2i00-22−2i2i00−1+i1−i−1−i1+i1+i−1−i1−i−1+i000000002-22-2002i−2i00-22−2i2i00−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000
χ252-22-200−2i2i002-2−2i2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000002-22-200−2i2i002-2−2i2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000002-22-200−2i2i002-2−2i2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ262-22-200−2i2i002-2−2i2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000002-22-200−2i2i002-2−2i2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000002-22-200−2i2i002-2−2i2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ272-22-200−2i2i00-222i−2i001+i−1−i1−i−1+i−1+i1−i−1−i1+i000000002-22-200−2i2i00-222i−2i001+i−1−i1−i−1+i−1+i1−i−1−i1+i000000002-22-200−2i2i00-222i−2i001+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000
χ282-22-200−2i2i00-222i−2i00−1−i1+i−1+i1−i1−i−1+i1+i−1−i000000002-22-200−2i2i00-222i−2i00−1−i1+i−1+i1−i1−i−1+i1+i−1−i000000002-22-200−2i2i00-222i−2i00−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000
χ2944-4-44-40000000000000000000000000044-4-44-40000000000000000000000000044-4-44-400000000000000000000000000
χ3044-4-4-440000000000000000000000000044-4-4-440000000000000000000000000044-4-4-4400000000000000000000000000
χ314-4-4400004i−4i00000000000000000000004-4-4400004i−4i00000000000000000000004-4-4400004i−4i0000000000000000000000
χ324-4-440000−4i4i00000000000000000000004-4-440000−4i4i00000000000000000000004-4-440000−4i4i0000000000000000000000
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
χ37111111-1-1-1-1-1-111-111111-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ38111111-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−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−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ39111111-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ40111111-1-1-1-1-1-111-11-1-1-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ411111-1-11111-1-1-1-1-11ii−i−iii−i−i1-11-1i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ421111-1-11111-1-1-1-1-11ii−i−iii−i−i-11-11−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ431111-1-11111-1-1-1-1-11−i−iii−i−iii1-11-1−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ441111-1-11111-1-1-1-1-11−i−iii−i−iii-11-11i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ451111-1-1-1-1-1-111-1-111ii−i−i−i−iii1-1-11i−i−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ461111-1-1-1-1-1-111-1-111ii−i−i−i−iii-111-1−iii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11
χ471111-1-1-1-1-1-111-1-111−i−iiiii−i−i1-1-11−iii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ481111-1-1-1-1-1-111-1-111−i−iiiii−i−i-111-1i−i−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11
χ4922222222-2-2-2-2-2-22-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i31+i30000000000000000
χ50222222-2-22222-2-2-2-20000000000000000−1+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
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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
χ69111111-1-1-1-1-1-111-111111-1-1-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ70111111-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+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+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ71111111-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ72111111-1-1-1-1-1-111-11-1-1-1-11111-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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χ751111-1-11111-1-1-1-1-11−i−iii−i−iii1-11-1−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ761111-1-11111-1-1-1-1-11−i−iii−i−iii-11-11i−ii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ771111-1-1-1-1-1-111-1-111ii−i−i−i−iii1-1-11i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ781111-1-1-1-1-1-111-1-111ii−i−i−i−iii-111-1−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7
χ791111-1-1-1-1-1-111-1-111−i−iiiii−i−i1-1-11−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ801111-1-1-1-1-1-111-1-111−i−iiiii−i−i-111-1i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
χ8122222222-2-2-2-2-2-22-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i31−i30000000000000000
χ82222222-2-22222-2-2-2-20000000000000000−1−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
χ832222-2-222-2-22222-2-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000000000
χ842222-2-2-2-222-2-2222-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i30000000000000000
χ852-22-2002i−2i002-22i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000−1−i31+i3−1−i31+i3002ζ11−2ζ1100−1−i31+i32ζ11−2ζ1100−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ1100000000−1+i31−i3−1+i31−i3002ζ7−2ζ700−1+i31−i32ζ7−2ζ700ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ1000000000
χ862-22-2002i−2i002-22i−2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000−1−i31+i3−1−i31+i3002ζ11−2ζ1100−1−i31+i32ζ11−2ζ1100ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ1100000000−1+i31−i3−1+i31−i3002ζ7−2ζ700−1+i31−i32ζ7−2ζ700−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ1000000000
χ872-22-2002i−2i00-22−2i2i001−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000−1−i31+i3−1−i31+i3002ζ11−2ζ11001+i3−1−i3−2ζ112ζ1100−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ1100000000−1+i31−i3−1+i31−i3002ζ7−2ζ7001−i3−1+i3−2ζ72ζ700−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ1000000000
χ882-22-2002i−2i00-22−2i2i00−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000−1−i31+i3−1−i31+i3002ζ11−2ζ11001+i3−1−i3−2ζ112ζ1100ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ1100000000−1+i31−i3−1+i31−i3002ζ7−2ζ7001−i3−1+i3−2ζ72ζ700ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ1000000000
χ892-22-200−2i2i002-2−2i2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000−1−i31+i3−1−i31+i300−2ζ112ζ1100−1−i31+i3−2ζ112ζ1100−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ1100000000−1+i31−i3−1+i31−i300−2ζ72ζ700−1+i31−i3−2ζ72ζ700−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ1000000000
χ902-22-200−2i2i002-2−2i2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000−1−i31+i3−1−i31+i300−2ζ112ζ1100−1−i31+i3−2ζ112ζ1100ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ1100000000−1+i31−i3−1+i31−i300−2ζ72ζ700−1+i31−i3−2ζ72ζ700ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ1000000000
χ912-22-200−2i2i00-222i−2i001+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000−1−i31+i3−1−i31+i300−2ζ112ζ11001+i3−1−i32ζ11−2ζ1100−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ1100000000−1+i31−i3−1+i31−i300−2ζ72ζ7001−i3−1+i32ζ7−2ζ700ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ1000000000
χ922-22-200−2i2i00-222i−2i00−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000−1−i31+i3−1−i31+i300−2ζ112ζ11001+i3−1−i32ζ11−2ζ1100ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ1100000000−1+i31−i3−1+i31−i300−2ζ72ζ7001−i3−1+i32ζ7−2ζ700−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ1000000000
χ9344-4-44-400000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i300000000000000000000000000
χ9444-4-4-4400000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i300000000000000000000000000
χ954-4-4400004i−4i0000000000000000000000−2−2i32+2i32+2i3−2−2i300004ζ11−4ζ110000000000000000000000−2+2i32−2i32−2i3−2+2i300004ζ7−4ζ70000000000000000000000
χ964-4-440000−4i4i0000000000000000000000−2−2i32+2i32+2i3−2−2i30000−4ζ114ζ110000000000000000000000−2+2i32−2i32−2i3−2+2i30000−4ζ74ζ70000000000000000000000

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