Finite Group Databasebeta

← Group #10619721

Character table — Group #10619721

Order 648.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222223333333366666666666666666666666666666666666666666666272727272727272727272727
order124433336666121212121212121233661212121233333333333666666666661212121212121212121212121212121212121212121288882424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ511111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ611111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ711-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i
χ811-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii
χ911-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14
χ1011-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14
χ1111-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22
χ1211-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22
χ131-1i−i1111-1-1-1-1iiii−i−i−i−i11-1-1i−ii−i11111111111-1-1-1-1-1-1-1-1-1-1-1iii−i−i−iiiii−i−i−i−iiiii−i−i−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ141-1i−i1111-1-1-1-1iiii−i−i−i−i11-1-1i−ii−i11111111111-1-1-1-1-1-1-1-1-1-1-1iii−i−i−iiiii−i−i−i−iiiii−i−i−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ151-1i−i1111-1-1-1-1iiii−i−i−i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ14111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32iii−i−i−iζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5
χ161-1i−i1111-1-1-1-1iiii−i−i−i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ14111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32iii−i−i−iζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5
χ171-1i−i1111-1-1-1-1iiii−i−i−i−i−1+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ22111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32iii−i−i−iζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13
χ181-1i−i1111-1-1-1-1iiii−i−i−i−i−1+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ22111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32iii−i−i−iζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13
χ191-1−ii1111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii11111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−i−iiiii−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ201-1−ii1111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii11111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−i−iiiii−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ211-1−ii1111-1-1-1-1−i−i−i−iiiii−1−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ14111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−i−i−iiii−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23
χ221-1−ii1111-1-1-1-1−i−i−i−iiiii−1−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ14111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−i−i−iiii−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23
χ231-1−ii1111-1-1-1-1−i−i−i−iiiii−1+i32−1−i321−i321+i32−ζ14ζ14−ζ22ζ22111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−i−i−iiii−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7
χ241-1−ii1111-1-1-1-1−i−i−i−iiiii−1+i32−1−i321−i321+i32−ζ14ζ14−ζ22ζ22111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−i−i−iiii−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7
χ252222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000000
χ2622222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1-1-1-1−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32000000000000
χ2722222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1-1-1-1−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32000000000000
χ2822222-1-1-12-1-1-12-1-1-12-1-1-1222222222-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-12-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1000000000000
χ2922222-1-1-12-1-1-12-1-1-12-1-1-122222222-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-12-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1000000000000
χ3022222-1-1-12-1-1-12-1-1-12-1-1-122222222-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-12-1-12-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ3122222-1-1-12-1-1-12-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-12-1-11+i32−1−i31+i321+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32000000000000
χ3222222-1-1-12-1-1-12-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-1-12-11+i321+i32−1−i31+i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321−i321−i32−1+i31−i32000000000000
χ3322222-1-1-12-1-1-12-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-12-1-121+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3000000000000
χ3422222-1-1-12-1-1-12-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-12-1-11−i32−1+i31−i321−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32000000000000
χ3522222-1-1-12-1-1-12-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-1-12-11−i321−i32−1+i31−i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321+i321+i32−1−i31+i32000000000000
χ3622222-1-1-12-1-1-12-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-12-1-121−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3000000000000
χ3722-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-1111111-2111-2111-2111-2111000000000000
χ3822-2-222222222-2-2-2-2-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321111111+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32000000000000
χ3922-2-222222222-2-2-2-2-2-2-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321111111−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32000000000000
χ4022-2-22-1-1-12-1-1-1-2111-21112222-2-2-2-22-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-1-211-2111-2111-2111-2111-211000000000000
χ4122-2-22-1-1-12-1-1-1-2111-21112222-2-2-2-2-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-11-211-2111-2111-2111-2111-21000000000000
χ4222-2-22-1-1-12-1-1-1-2111-21112222-2-2-2-2-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-1211-211-2111-2111-2111-2111-2000000000000
χ4322-2-22-1-1-12-1-1-1-2111-2111−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-211-211−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32000000000000
χ4422-2-22-1-1-12-1-1-1-2111-2111−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321-211-21−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32000000000000
χ4522-2-22-1-1-12-1-1-1-2111-2111−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i311-211-2−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3000000000000
χ4622-2-22-1-1-12-1-1-1-2111-2111−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32-211-211−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32000000000000
χ4722-2-22-1-1-12-1-1-1-2111-2111−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321-211-21−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32000000000000
χ4822-2-22-1-1-12-1-1-1-2111-2111−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i311-211-2−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3000000000000
χ492-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-22i−2i2i−2i-1-1-12-1-1-12-1-1-1111-2111-2111−i−i−iiii2i−i−i−i−2iiii2i−i−i−i−2iiii000000000000
χ502-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ14-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32−i−i−iiii2ζ22−ζ22−ζ22−ζ22−2ζ22ζ22ζ22ζ222ζ14−ζ14−ζ14−ζ14−2ζ14ζ14ζ14ζ14000000000000
χ512-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ22-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32−i−i−iiii2ζ14−ζ14−ζ14−ζ14−2ζ14ζ14ζ14ζ142ζ22−ζ22−ζ22−ζ22−2ζ22ζ22ζ22ζ22000000000000
χ522-22i−2i2-1-1-1-21112i−i−i−i−2iiii22-2-22i−2i2i−2i2-1-1-12-1-1-12-1-1-2111-2111-2112i−i−i−2iii−i2i−i−ii−2iii−i2i−i−ii−2iii000000000000
χ532-22i−2i2-1-1-1-21112i−i−i−i−2iiii22-2-22i−2i2i−2i-12-1-1-12-1-1-12-11-2111-2111-21−i2i−ii−2ii−i−i2i−iii−2ii−i−i2i−iii−2ii000000000000
χ542-22i−2i2-1-1-1-21112i−i−i−i−2iiii22-2-22i−2i2i−2i-1-12-1-1-12-1-1-1211-2111-2111-2−i−i2iii−2i−i−i−i2iiii−2i−i−i−i2iiii−2i000000000000
χ552-22i−2i2-1-1-1-21112i−i−i−i−2iiii−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ142-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i322i−i−i−2iii−ζ222ζ22−ζ22−ζ22ζ22−2ζ22ζ22ζ22−ζ142ζ14−ζ14−ζ14ζ14−2ζ14ζ14ζ14000000000000
χ562-22i−2i2-1-1-1-21112i−i−i−i−2iiii−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ14-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321-21−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−i2i−ii−2ii−ζ22−ζ222ζ22−ζ22ζ22ζ22−2ζ22ζ22−ζ14−ζ142ζ14−ζ14ζ14ζ14−2ζ14ζ14000000000000
χ572-22i−2i2-1-1-1-21112i−i−i−i−2iiii−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ14-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i311-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3−i−i2iii−2i−ζ22−ζ22−ζ222ζ22ζ22ζ22ζ22−2ζ22−ζ14−ζ14−ζ142ζ14ζ14ζ14ζ14−2ζ14000000000000
χ582-22i−2i2-1-1-1-21112i−i−i−i−2iiii−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ222-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32-211−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i322i−i−i−2iii−ζ142ζ14−ζ14−ζ14ζ14−2ζ14ζ14ζ14−ζ222ζ22−ζ22−ζ22ζ22−2ζ22ζ22ζ22000000000000
χ592-22i−2i2-1-1-1-21112i−i−i−i−2iiii−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ22-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321-21−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−i2i−ii−2ii−ζ14−ζ142ζ14−ζ14ζ14ζ14−2ζ14ζ14−ζ22−ζ222ζ22−ζ22ζ22ζ22−2ζ22ζ22000000000000
χ602-22i−2i2-1-1-1-21112i−i−i−i−2iiii−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ22-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i311-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3−i−i2iii−2i−ζ14−ζ14−ζ142ζ14ζ14ζ14ζ14−2ζ14−ζ22−ζ22−ζ222ζ22ζ22ζ22ζ22−2ζ22000000000000
χ612-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-2−2i2i−2i2i-1-1-12-1-1-12-1-1-1111-2111-2111iii−i−i−i−2iiii2i−i−i−i−2iiii2i−i−i−i000000000000
χ622-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−1−i3−1+i31+i31−i3−2ζ222ζ22−2ζ142ζ14-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32iii−i−i−i−2ζ22ζ22ζ22ζ222ζ22−ζ22−ζ22−ζ22−2ζ14ζ14ζ14ζ142ζ14−ζ14−ζ14−ζ14000000000000
χ632-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−1+i3−1−i31−i31+i3−2ζ142ζ14−2ζ222ζ22-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32iii−i−i−i−2ζ14ζ14ζ14ζ142ζ14−ζ14−ζ14−ζ14−2ζ22ζ22ζ22ζ222ζ22−ζ22−ζ22−ζ22000000000000
χ642-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i22-2-2−2i2i−2i2i2-1-1-12-1-1-12-1-1-2111-2111-211−2iii2i−i−ii−2iii−i2i−i−ii−2iii−i2i−i−i000000000000
χ652-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i22-2-2−2i2i−2i2i-12-1-1-12-1-1-12-11-2111-2111-21i−2ii−i2i−iii−2ii−i−i2i−iii−2ii−i−i2i−i000000000000
χ662-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i22-2-2−2i2i−2i2i-1-12-1-1-12-1-1-1211-2111-2111-2ii−2i−i−i2iiii−2i−i−i−i2iiii−2i−i−i−i2i000000000000
χ672-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i−1−i3−1+i31+i31−i3−2ζ222ζ22−2ζ142ζ142-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−2iii2i−i−iζ22−2ζ22ζ22ζ22−ζ222ζ22−ζ22−ζ22ζ14−2ζ14ζ14ζ14−ζ142ζ14−ζ14−ζ14000000000000
χ682-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i−1−i3−1+i31+i31−i3−2ζ222ζ22−2ζ142ζ14-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321-21−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32i−2ii−i2i−iζ22ζ22−2ζ22ζ22−ζ22−ζ222ζ22−ζ22ζ14ζ14−2ζ14ζ14−ζ14−ζ142ζ14−ζ14000000000000
χ692-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i−1−i3−1+i31+i31−i3−2ζ222ζ22−2ζ142ζ14-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i311-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3ii−2i−i−i2iζ22ζ22ζ22−2ζ22−ζ22−ζ22−ζ222ζ22ζ14ζ14ζ14−2ζ14−ζ14−ζ14−ζ142ζ14000000000000
χ702-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i−1+i3−1−i31−i31+i3−2ζ142ζ14−2ζ222ζ222-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32-211−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−2iii2i−i−iζ14−2ζ14ζ14ζ14−ζ142ζ14−ζ14−ζ14ζ22−2ζ22ζ22ζ22−ζ222ζ22−ζ22−ζ22000000000000
χ712-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i−1+i3−1−i31−i31+i3−2ζ142ζ14−2ζ222ζ22-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321-21−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32i−2ii−i2i−iζ14ζ14−2ζ14ζ14−ζ14−ζ142ζ14−ζ14ζ22ζ22−2ζ22ζ22−ζ22−ζ222ζ22−ζ22000000000000
χ722-2−2i2i2-1-1-1-2111−2iiii2i−i−i−i−1+i3−1−i31−i31+i3−2ζ142ζ14−2ζ222ζ22-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i311-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3ii−2i−i−i2iζ14ζ14ζ14−2ζ14−ζ14−ζ14−ζ142ζ14ζ22ζ22ζ22−2ζ22−ζ22−ζ22−ζ222ζ22000000000000
χ736666-36-3-3-36-3-3-36-3-3-36-3-30000000000000000000000000000000000000000000000000000000000000000
χ746666-3-36-3-3-36-3-3-36-3-3-36-30000000000000000000000000000000000000000000000000000000000000000
χ756666-3-3-36-3-3-36-3-3-36-3-3-360000000000000000000000000000000000000000000000000000000000000000
χ7666-6-6-36-3-3-36-3-33-6333-6330000000000000000000000000000000000000000000000000000000000000000
χ7766-6-6-3-36-3-3-36-333-6333-630000000000000000000000000000000000000000000000000000000000000000
χ7866-6-6-3-3-36-3-3-36333-6333-60000000000000000000000000000000000000000000000000000000000000000
χ796-66i−6i-36-3-33-633−3i6i−3i−3i3i−6i3i3i0000000000000000000000000000000000000000000000000000000000000000
χ806-66i−6i-3-36-333-63−3i−3i6i−3i3i3i−6i3i0000000000000000000000000000000000000000000000000000000000000000
χ816-66i−6i-3-3-36333-6−3i−3i−3i6i3i3i3i−6i0000000000000000000000000000000000000000000000000000000000000000
χ826-6−6i6i-36-3-33-6333i−6i3i3i−3i6i−3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ836-6−6i6i-3-36-333-633i3i−6i3i−3i−3i6i−3i0000000000000000000000000000000000000000000000000000000000000000
χ846-6−6i6i-3-3-36333-63i3i3i−6i−3i−3i−3i6i0000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.