Finite Group Databasebeta

← Group #72613

Character table — Group #72613

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order122222222222222244444444244444443666666666666666121212121212121261212121212121236666666666666661212121212121212612121212121212
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
χ511111111-1-1-1-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11111111-1-1-1-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11111111-1-1-1-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i
χ611111111-1-1-1-1-1-11-1iiii−i−i−i−i-1-111−i−iii11111111-1-1-1-1-1-11-1iiii−i−i−i−i-1-111−i−iii11111111-1-1-1-1-1-11-1iiii−i−i−i−i-1-111−i−iii
χ711111111-1-1-1-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11111111-1-1-1-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11111111-1-1-1-1-1-11-1−i−i−i−iiiii11-1-1−i−iii
χ811111111-1-1-1-1-1-11-1−i−i−i−iiiii-1-111ii−i−i11111111-1-1-1-1-1-11-1−i−i−i−iiiii-1-111ii−i−i11111111-1-1-1-1-1-11-1−i−i−i−iiiii-1-111ii−i−i
χ9111111-1-111-1-1-1-1-11ii−i−iii−i−i1-11-1i−ii−i111111-1-111-1-1-1-1-11ii−i−iii−i−i1-11-1i−ii−i111111-1-111-1-1-1-1-11ii−i−iii−i−i1-11-1i−ii−i
χ10111111-1-111-1-1-1-1-11ii−i−iii−i−i-11-11−ii−ii111111-1-111-1-1-1-1-11ii−i−iii−i−i-11-11−ii−ii111111-1-111-1-1-1-1-11ii−i−iii−i−i-11-11−ii−ii
χ11111111-1-111-1-1-1-1-11−i−iii−i−iii1-11-1−ii−ii111111-1-111-1-1-1-1-11−i−iii−i−iii1-11-1−ii−ii111111-1-111-1-1-1-1-11−i−iii−i−iii1-11-1−ii−ii
χ12111111-1-111-1-1-1-1-11−i−iii−i−iii-11-11i−ii−i111111-1-111-1-1-1-1-11−i−iii−i−iii-11-11i−ii−i111111-1-111-1-1-1-1-11−i−iii−i−iii-11-11i−ii−i
χ13111111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-11111111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-11111111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-11
χ14111111-1-1-1-11111-1-111-1-1-1-111-111-1-111-1111111-1-1-1-11111-1-111-1-1-1-111-111-1-111-1111111-1-1-1-11111-1-111-1-1-1-111-111-1-111-1
χ15111111-1-1-1-11111-1-1-1-11111-1-11-1-11-111-1111111-1-1-1-11111-1-1-1-11111-1-11-1-11-111-1111111-1-1-1-11111-1-1-1-11111-1-11-1-11-111-1
χ16111111-1-1-1-11111-1-1-1-11111-1-1-111-11-1-11111111-1-1-1-11111-1-1-1-11111-1-1-111-11-1-11111111-1-1-1-11111-1-1-1-11111-1-1-111-11-1-11
χ172222-2-222222-2-22-2-200000000000000002222-2-222222-2-22-2-200000000000000002222-2-222222-2-22-2-20000000000000000
χ182222-2-222-2-2-222-2-2200000000000000002222-2-222-2-2-222-2-2200000000000000002222-2-222-2-2-222-2-220000000000000000
χ192222-2-2-2-222-222-22-200000000000000002222-2-2-2-222-222-22-200000000000000002222-2-2-2-222-222-22-20000000000000000
χ202222-2-2-2-2-2-22-2-222200000000000000002222-2-2-2-2-2-22-2-222200000000000000002222-2-2-2-2-2-22-2-22220000000000000000
χ2122-2-22-2000022-2-200002i−2i2i−2i000000000022-2-22-2000022-2-200002i−2i2i−2i000000000022-2-22-2000022-2-200002i−2i2i−2i0000000000
χ2222-2-22-2000022-2-20000−2i2i−2i2i000000000022-2-22-2000022-2-20000−2i2i−2i2i000000000022-2-22-2000022-2-20000−2i2i−2i2i0000000000
χ2322-2-22-20000-2-22200002-2-22000000000022-2-22-20000-2-22200002-2-22000000000022-2-22-20000-2-22200002-2-220000000000
χ2422-2-22-20000-2-2220000-222-2000000000022-2-22-20000-2-2220000-222-2000000000022-2-22-20000-2-2220000-222-20000000000
χ2522-2-2-2200002-22-2002i−2i00002i−2i0000000022-2-2-2200002-22-2002i−2i00002i−2i0000000022-2-2-2200002-22-2002i−2i00002i−2i00000000
χ2622-2-2-2200002-22-200−2i2i0000−2i2i0000000022-2-2-2200002-22-200−2i2i0000−2i2i0000000022-2-2-2200002-22-200−2i2i0000−2i2i00000000
χ2722-2-2-220000-22-22002-20000-220000000022-2-2-220000-22-22002-20000-220000000022-2-2-220000-22-22002-20000-2200000000
χ2822-2-2-220000-22-2200-2200002-20000000022-2-2-220000-22-2200-2200002-20000000022-2-2-220000-22-2200-2200002-200000000
χ294-44-400004-400000000000000000000004-44-400004-400000000000000000000004-44-400004-40000000000000000000000
χ304-44-40000-4400000000000000000000004-44-40000-4400000000000000000000004-44-40000-440000000000000000000000
χ314-4-44004-40000000000000000000000004-4-44004-40000000000000000000000004-4-44004-4000000000000000000000000
χ324-4-4400-440000000000000000000000004-4-4400-440000000000000000000000004-4-4400-44000000000000000000000000
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
χ3711111111-1-1-1-1-1-11-1iiii−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−i32−1+i321−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+i32−1−i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11
χ3811111111-1-1-1-1-1-11-1iiii−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−i32−1+i321−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+i32−1−i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11
χ3911111111-1-1-1-1-1-11-1−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−i32−1+i321−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+i32−1−i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11
χ4011111111-1-1-1-1-1-11-1−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−i32−1+i321−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+i32−1−i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11
χ41111111-1-111-1-1-1-1-11ii−i−iii−i−i1-11-1i−ii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ42111111-1-111-1-1-1-1-11ii−i−iii−i−i-11-11−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ43111111-1-111-1-1-1-1-11−i−iii−i−iii1-11-1−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ44111111-1-111-1-1-1-1-11−i−iii−i−iii-11-11i−ii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ45111111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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
χ46111111-1-1-1-11111-1-111-1-1-1-111-111-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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
χ47111111-1-1-1-11111-1-1-1-11111-1-11-1-11-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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
χ48111111-1-1-1-11111-1-1-1-11111-1-1-111-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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
χ492222-2-222222-2-22-2-20000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000000000000000
χ502222-2-222-2-2-222-2-220000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i30000000000000000
χ512222-2-2-2-222-222-22-20000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i30000000000000000
χ522222-2-2-2-2-2-22-2-22220000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i30000000000000000
χ5322-2-22-2000022-2-200002i−2i2i−2i0000000000−1+i3−1+i31−i31−i3−1+i31−i30000−1+i3−1+i31−i31−i300002ζ7−2ζ72ζ7−2ζ70000000000−1−i3−1−i31+i31+i3−1−i31+i30000−1−i3−1−i31+i31+i300002ζ11−2ζ112ζ11−2ζ110000000000
χ5422-2-22-2000022-2-20000−2i2i−2i2i0000000000−1+i3−1+i31−i31−i3−1+i31−i30000−1+i3−1+i31−i31−i30000−2ζ72ζ7−2ζ72ζ70000000000−1−i3−1−i31+i31+i3−1−i31+i30000−1−i3−1−i31+i31+i30000−2ζ112ζ11−2ζ112ζ110000000000
χ5522-2-22-20000-2-22200002-2-220000000000−1+i3−1+i31−i31−i3−1+i31−i300001−i31−i3−1+i3−1+i30000−1+i31−i31−i3−1+i30000000000−1−i3−1−i31+i31+i3−1−i31+i300001+i31+i3−1−i3−1−i30000−1−i31+i31+i3−1−i30000000000
χ5622-2-22-20000-2-2220000-222-20000000000−1+i3−1+i31−i31−i3−1+i31−i300001−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i30000000000−1−i3−1−i31+i31+i3−1−i31+i300001+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i30000000000
χ5722-2-2-2200002-22-2002i−2i00002i−2i00000000−1+i3−1+i31−i31−i31−i3−1+i30000−1+i31−i3−1+i31−i3002ζ7−2ζ700002ζ7−2ζ700000000−1−i3−1−i31+i31+i31+i3−1−i30000−1−i31+i3−1−i31+i3002ζ11−2ζ1100002ζ11−2ζ1100000000
χ5822-2-2-2200002-22-200−2i2i0000−2i2i00000000−1+i3−1+i31−i31−i31−i3−1+i30000−1+i31−i3−1+i31−i300−2ζ72ζ70000−2ζ72ζ700000000−1−i3−1−i31+i31+i31+i3−1−i30000−1−i31+i3−1−i31+i300−2ζ112ζ110000−2ζ112ζ1100000000
χ5922-2-2-220000-22-22002-20000-2200000000−1+i3−1+i31−i31−i31−i3−1+i300001−i3−1+i31−i3−1+i300−1+i31−i300001−i3−1+i300000000−1−i3−1−i31+i31+i31+i3−1−i300001+i3−1−i31+i3−1−i300−1−i31+i300001+i3−1−i300000000
χ6022-2-2-220000-22-2200-2200002-200000000−1+i3−1+i31−i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3001−i3−1+i30000−1+i31−i300000000−1−i3−1−i31+i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3001+i3−1−i30000−1−i31+i300000000
χ614-44-400004-40000000000000000000000−2+2i32−2i3−2+2i32−2i30000−2+2i32−2i30000000000000000000000−2−2i32+2i3−2−2i32+2i30000−2−2i32+2i30000000000000000000000
χ624-44-40000-440000000000000000000000−2+2i32−2i3−2+2i32−2i300002−2i3−2+2i30000000000000000000000−2−2i32+2i3−2−2i32+2i300002+2i3−2−2i30000000000000000000000
χ634-4-44004-4000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i3000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i3000000000000000000000000
χ644-4-4400-44000000000000000000000000−2+2i32−2i32−2i3−2+2i3002−2i3−2+2i3000000000000000000000000−2−2i32+2i32+2i3−2−2i3002+2i3−2−2i3000000000000000000000000
χ6511111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
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
χ6911111111-1-1-1-1-1-11-1iiii−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+i32−1−i321+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−i32−1+i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7
χ7011111111-1-1-1-1-1-11-1iiii−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+i32−1−i321+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−i32−1+i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7
χ7111111111-1-1-1-1-1-11-1−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+i32−1−i321+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−i32−1+i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7
χ7211111111-1-1-1-1-1-11-1−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+i32−1−i321+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−i32−1+i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7
χ73111111-1-111-1-1-1-1-11ii−i−iii−i−i1-11-1i−ii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ74111111-1-111-1-1-1-1-11ii−i−iii−i−i-11-11−ii−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ75111111-1-111-1-1-1-1-11−i−iii−i−iii1-11-1−ii−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ76111111-1-111-1-1-1-1-11−i−iii−i−iii-11-11i−ii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ77111111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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
χ78111111-1-1-1-11111-1-111-1-1-1-111-111-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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
χ79111111-1-1-1-11111-1-1-1-11111-1-11-1-11-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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
χ80111111-1-1-1-11111-1-1-1-11111-1-1-111-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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
χ812222-2-222222-2-22-2-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000000000000000
χ822222-2-222-2-2-222-2-220000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i30000000000000000
χ832222-2-2-2-222-222-22-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i30000000000000000
χ842222-2-2-2-2-2-22-2-22220000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i30000000000000000
χ8522-2-22-2000022-2-200002i−2i2i−2i0000000000−1−i3−1−i31+i31+i3−1−i31+i30000−1−i3−1−i31+i31+i300002ζ11−2ζ112ζ11−2ζ110000000000−1+i3−1+i31−i31−i3−1+i31−i30000−1+i3−1+i31−i31−i300002ζ7−2ζ72ζ7−2ζ70000000000
χ8622-2-22-2000022-2-20000−2i2i−2i2i0000000000−1−i3−1−i31+i31+i3−1−i31+i30000−1−i3−1−i31+i31+i30000−2ζ112ζ11−2ζ112ζ110000000000−1+i3−1+i31−i31−i3−1+i31−i30000−1+i3−1+i31−i31−i30000−2ζ72ζ7−2ζ72ζ70000000000
χ8722-2-22-20000-2-22200002-2-220000000000−1−i3−1−i31+i31+i3−1−i31+i300001+i31+i3−1−i3−1−i30000−1−i31+i31+i3−1−i30000000000−1+i3−1+i31−i31−i3−1+i31−i300001−i31−i3−1+i3−1+i30000−1+i31−i31−i3−1+i30000000000
χ8822-2-22-20000-2-2220000-222-20000000000−1−i3−1−i31+i31+i3−1−i31+i300001+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i30000000000−1+i3−1+i31−i31−i3−1+i31−i300001−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i30000000000
χ8922-2-2-2200002-22-2002i−2i00002i−2i00000000−1−i3−1−i31+i31+i31+i3−1−i30000−1−i31+i3−1−i31+i3002ζ11−2ζ1100002ζ11−2ζ1100000000−1+i3−1+i31−i31−i31−i3−1+i30000−1+i31−i3−1+i31−i3002ζ7−2ζ700002ζ7−2ζ700000000
χ9022-2-2-2200002-22-200−2i2i0000−2i2i00000000−1−i3−1−i31+i31+i31+i3−1−i30000−1−i31+i3−1−i31+i300−2ζ112ζ110000−2ζ112ζ1100000000−1+i3−1+i31−i31−i31−i3−1+i30000−1+i31−i3−1+i31−i300−2ζ72ζ70000−2ζ72ζ700000000
χ9122-2-2-220000-22-22002-20000-2200000000−1−i3−1−i31+i31+i31+i3−1−i300001+i3−1−i31+i3−1−i300−1−i31+i300001+i3−1−i300000000−1+i3−1+i31−i31−i31−i3−1+i300001−i3−1+i31−i3−1+i300−1+i31−i300001−i3−1+i300000000
χ9222-2-2-220000-22-2200-2200002-200000000−1−i3−1−i31+i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3001+i3−1−i30000−1−i31+i300000000−1+i3−1+i31−i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3001−i3−1+i30000−1+i31−i300000000
χ934-44-400004-40000000000000000000000−2−2i32+2i3−2−2i32+2i30000−2−2i32+2i30000000000000000000000−2+2i32−2i3−2+2i32−2i30000−2+2i32−2i30000000000000000000000
χ944-44-40000-440000000000000000000000−2−2i32+2i3−2−2i32+2i300002+2i3−2−2i30000000000000000000000−2+2i32−2i3−2+2i32−2i300002−2i3−2+2i30000000000000000000000
χ954-4-44004-4000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i3000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i3000000000000000000000000
χ964-4-4400-44000000000000000000000000−2−2i32+2i32+2i3−2−2i3002+2i3−2−2i3000000000000000000000000−2+2i32−2i32−2i3−2+2i3002−2i3−2+2i3000000000000000000000000

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