Finite Group Databasebeta

← Group #72186

Character table — Group #72186

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order122222224444442488888888224488883666666612121212121261224242424242424246612122424242436666666121212121212612242424242424242466121224242424
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−i1-11-1ii−i−i11111111-1-1-1-1-1-11-1iiii−i−i−i−i1-11-1ii−i−i11111111-1-1-1-1-1-11-1iiii−i−i−i−i1-11-1ii−i−i
χ611111111-1-1-1-1-1-11-1iiii−i−i−i−i-11-11−i−iii11111111-1-1-1-1-1-11-1iiii−i−i−i−i-11-11−i−iii11111111-1-1-1-1-1-11-1iiii−i−i−i−i-11-11−i−iii
χ711111111-1-1-1-1-1-11-1−i−i−i−iiiii1-11-1−i−iii11111111-1-1-1-1-1-11-1−i−i−i−iiiii1-11-1−i−iii11111111-1-1-1-1-1-11-1−i−i−i−iiiii1-11-1−i−iii
χ811111111-1-1-1-1-1-11-1−i−i−i−iiiii-11-11ii−i−i11111111-1-1-1-1-1-11-1−i−i−i−iiiii-11-11ii−i−i11111111-1-1-1-1-1-11-1−i−i−i−iiiii-11-11ii−i−i
χ9111111-1-111-1-1-1-1-11ii−i−iii−i−i11-1-1i−ii−i111111-1-111-1-1-1-1-11ii−i−iii−i−i11-1-1i−ii−i111111-1-111-1-1-1-1-11ii−i−iii−i−i11-1-1i−ii−i
χ10111111-1-111-1-1-1-1-11ii−i−iii−i−i-1-111−ii−ii111111-1-111-1-1-1-1-11ii−i−iii−i−i-1-111−ii−ii111111-1-111-1-1-1-1-11ii−i−iii−i−i-1-111−ii−ii
χ11111111-1-111-1-1-1-1-11−i−iii−i−iii11-1-1−ii−ii111111-1-111-1-1-1-1-11−i−iii−i−iii11-1-1−ii−ii111111-1-111-1-1-1-1-11−i−iii−i−iii11-1-1−ii−ii
χ12111111-1-111-1-1-1-1-11−i−iii−i−iii-1-111i−ii−i111111-1-111-1-1-1-1-11−i−iii−i−iii-1-111i−ii−i111111-1-111-1-1-1-1-11−i−iii−i−iii-1-111i−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
χ172222-2-2222222-2-2-2-200000000000000002222-2-2222222-2-2-2-200000000000000002222-2-2222222-2-2-2-20000000000000000
χ182222-2-222-2-2-2-222-2200000000000000002222-2-222-2-2-2-222-2200000000000000002222-2-222-2-2-2-222-220000000000000000
χ192222-2-2-2-222-2-2222-200000000000000002222-2-2-2-222-2-2222-200000000000000002222-2-2-2-222-2-2222-20000000000000000
χ202222-2-2-2-2-2-222-2-22200000000000000002222-2-2-2-2-2-222-2-22200000000000000002222-2-2-2-2-2-222-2-2220000000000000000
χ2122-2-22-200002i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000022-2-22-200002i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000022-2-22-200002i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000
χ2222-2-22-200002i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000022-2-22-200002i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000022-2-22-200002i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000
χ2322-2-22-20000−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000022-2-22-20000−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000022-2-22-20000−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000
χ2422-2-22-20000−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000022-2-22-20000−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000022-2-22-20000−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000
χ2522-2-2-2200002i−2i−2i2i002ζ7+2ζ23−2ζ7−2ζ2300002ζ5+2ζ13−2ζ5−2ζ130000000022-2-2-2200002i−2i−2i2i002ζ7+2ζ23−2ζ7−2ζ2300002ζ5+2ζ13−2ζ5−2ζ130000000022-2-2-2200002i−2i−2i2i002ζ7+2ζ23−2ζ7−2ζ2300002ζ5+2ζ13−2ζ5−2ζ1300000000
χ2622-2-2-2200002i−2i−2i2i00−2ζ7−2ζ232ζ7+2ζ230000−2ζ5−2ζ132ζ5+2ζ130000000022-2-2-2200002i−2i−2i2i00−2ζ7−2ζ232ζ7+2ζ230000−2ζ5−2ζ132ζ5+2ζ130000000022-2-2-2200002i−2i−2i2i00−2ζ7−2ζ232ζ7+2ζ230000−2ζ5−2ζ132ζ5+2ζ1300000000
χ2722-2-2-220000−2i2i2i−2i002ζ5+2ζ13−2ζ5−2ζ1300002ζ7+2ζ23−2ζ7−2ζ230000000022-2-2-220000−2i2i2i−2i002ζ5+2ζ13−2ζ5−2ζ1300002ζ7+2ζ23−2ζ7−2ζ230000000022-2-2-220000−2i2i2i−2i002ζ5+2ζ13−2ζ5−2ζ1300002ζ7+2ζ23−2ζ7−2ζ2300000000
χ2822-2-2-220000−2i2i2i−2i00−2ζ5−2ζ132ζ5+2ζ130000−2ζ7−2ζ232ζ7+2ζ230000000022-2-2-220000−2i2i2i−2i00−2ζ5−2ζ132ζ5+2ζ130000−2ζ7−2ζ232ζ7+2ζ230000000022-2-2-220000−2i2i2i−2i00−2ζ5−2ζ132ζ5+2ζ130000−2ζ7−2ζ232ζ7+2ζ2300000000
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−i1-11-1ii−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−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22
χ3811111111-1-1-1-1-1-11-1iiii−i−i−i−i-11-11−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−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22−ζ22ζ22ζ22
χ3911111111-1-1-1-1-1-11-1−i−i−i−iiiii1-11-1−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−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22
χ4011111111-1-1-1-1-1-11-1−i−i−i−iiiii-11-11ii−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−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i32−1+i321−i32−1+i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i32−1−i321+i32−1−i32ζ22ζ22−ζ22−ζ22
χ41111111-1-111-1-1-1-1-11ii−i−iii−i−i11-1-1i−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+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22
χ42111111-1-111-1-1-1-1-11ii−i−iii−i−i-1-111−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+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22
χ43111111-1-111-1-1-1-1-11−i−iii−i−iii11-1-1−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−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22
χ44111111-1-111-1-1-1-1-11−i−iii−i−iii-1-111i−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−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22
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
χ492222-2-2222222-2-2-2-20000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000
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χ7111111111-1-1-1-1-1-11-1−i−i−i−iiiii1-11-1−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−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14
χ7211111111-1-1-1-1-1-11-1−i−i−i−iiiii-11-11ii−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−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i32−1−i321+i32−1−i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i32−1+i321−i32−1+i32ζ14ζ14−ζ14−ζ14
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χ75111111-1-111-1-1-1-1-11−i−iii−i−iii11-1-1−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−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14
χ76111111-1-111-1-1-1-1-11−i−iii−i−iii-1-111i−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−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14
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
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χ8622-2-22-200002i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000−1−i3−1−i31+i31+i3−1−i31+i300002ζ22−2ζ222ζ22−2ζ2200002ζ7−2ζ72ζ13−2ζ130000000000−1+i3−1+i31−i31−i3−1+i31−i300002ζ14−2ζ142ζ14−2ζ1400002ζ23−2ζ232ζ5−2ζ50000000000
χ8722-2-22-20000−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000−1−i3−1−i31+i31+i3−1−i31+i30000−2ζ222ζ22−2ζ222ζ220000−2ζ132ζ13−2ζ72ζ70000000000−1+i3−1+i31−i31−i3−1+i31−i30000−2ζ142ζ14−2ζ142ζ140000−2ζ52ζ5−2ζ232ζ230000000000
χ8822-2-22-20000−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000−1−i3−1−i31+i31+i3−1−i31+i30000−2ζ222ζ22−2ζ222ζ2200002ζ13−2ζ132ζ7−2ζ70000000000−1+i3−1+i31−i31−i3−1+i31−i30000−2ζ142ζ14−2ζ142ζ1400002ζ5−2ζ52ζ23−2ζ230000000000
χ8922-2-2-2200002i−2i−2i2i002ζ7+2ζ23−2ζ7−2ζ2300002ζ5+2ζ13−2ζ5−2ζ1300000000−1−i3−1−i31+i31+i31+i3−1−i300002ζ22−2ζ22−2ζ222ζ2200−2ζ72ζ70000−2ζ132ζ1300000000−1+i3−1+i31−i31−i31−i3−1+i300002ζ14−2ζ14−2ζ142ζ1400−2ζ232ζ230000−2ζ52ζ500000000
χ9022-2-2-2200002i−2i−2i2i00−2ζ7−2ζ232ζ7+2ζ230000−2ζ5−2ζ132ζ5+2ζ1300000000−1−i3−1−i31+i31+i31+i3−1−i300002ζ22−2ζ22−2ζ222ζ22002ζ7−2ζ700002ζ13−2ζ1300000000−1+i3−1+i31−i31−i31−i3−1+i300002ζ14−2ζ14−2ζ142ζ14002ζ23−2ζ2300002ζ5−2ζ500000000
χ9122-2-2-220000−2i2i2i−2i002ζ5+2ζ13−2ζ5−2ζ1300002ζ7+2ζ23−2ζ7−2ζ2300000000−1−i3−1−i31+i31+i31+i3−1−i30000−2ζ222ζ222ζ22−2ζ2200−2ζ132ζ130000−2ζ72ζ700000000−1+i3−1+i31−i31−i31−i3−1+i30000−2ζ142ζ142ζ14−2ζ1400−2ζ52ζ50000−2ζ232ζ2300000000
χ9222-2-2-220000−2i2i2i−2i00−2ζ5−2ζ132ζ5+2ζ130000−2ζ7−2ζ232ζ7+2ζ2300000000−1−i3−1−i31+i31+i31+i3−1−i30000−2ζ222ζ222ζ22−2ζ22002ζ13−2ζ1300002ζ7−2ζ700000000−1+i3−1+i31−i31−i31−i3−1+i30000−2ζ142ζ142ζ14−2ζ14002ζ5−2ζ500002ζ23−2ζ2300000000
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 24 (ζ24 = 1); i = ζ6.